From d615d11243e928840530656692b2b01dd1cc288c Mon Sep 17 00:00:00 2001 From: Foton Date: Tue, 4 Jun 2024 13:44:59 +0300 Subject: [PATCH 1/9] Release Data Science Libreries Lesson4 --- Lesson4/Task2.ipynb | 6815 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 6815 insertions(+) create mode 100644 Lesson4/Task2.ipynb diff --git a/Lesson4/Task2.ipynb b/Lesson4/Task2.ipynb new file mode 100644 index 0000000..ac6e6bf --- /dev/null +++ b/Lesson4/Task2.ipynb @@ -0,0 +1,6815 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b27e41e4", + "metadata": {}, + "source": [ + "## Тема “Визуализация данных в Matplotlib”" + ] + }, + { + "cell_type": "markdown", + "id": "f324024b", + "metadata": {}, + "source": [ + "### Задание 1\n", + "Загрузите модуль pyplot библиотеки matplotlib с псевдонимом plt, а также библиотеку numpy с\n", + "псевдонимом np.\n", + "Примените магическую функцию %matplotlib inline для отображения графиков в Jupyter Notebook и\n", + "настройки конфигурации ноутбука со значением 'svg' для более четкого отображения графиков.\n", + "Создайте список под названием x с числами 1, 2, 3, 4, 5, 6, 7 и список y с числами 3.5, 3.8, 4.2, 4.5, 5,\n", + "5.5, 7.\n", + "С помощью функции plot постройте график, соединяющий линиями точки с горизонтальными\n", + "координатами из списка x и вертикальными - из списка y.\n", + "Затем в следующей ячейке постройте диаграмму рассеяния (другие названия - диаграмма разброса,\n", + "scatter plot)." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "99e11a55", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from random import seed\n", + "from matplotlib import pyplot as plt\n", + "\n", + "plt.style.use('fivethirtyeight')\n", + "\n", + "%matplotlib inline\n", + "%config InlineBackend.figure_format = 'svg'" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "bd0d7835", + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2024-06-04T11:17:30.715908\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.9.0, https://matplotlib.org/\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = [1, 2, 3, 4, 5, 6, 7]\n", + "y = [3.5, 3.8, 4.2, 4.5, 5, 5.5, 7]\n", + "\n", + "plt.plot(x, y)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "91fc998c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2024-06-03T11:42:36.642755\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.9.0, https://matplotlib.org/\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(x, y)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fbf3b995", + "metadata": {}, + "source": [ + "### Задание 2\n", + "С помощью функции linspace из библиотеки Numpy создайте массив t из 51 числа от 0 до 10\n", + "включительно.\n", + "© geekbrains.ru\n", + "Создайте массив Numpy под названием f, содержащий косинусы элементов массива t.\n", + "Постройте линейную диаграмму, используя массив t для координат по горизонтали,а массив f - для\n", + "координат по вертикали. Линия графика должна быть зеленого цвета.\n", + "Выведите название диаграммы - 'График f(t)'. Также добавьте названия для горизонтальной оси -\n", + "'Значения t' и для вертикальной - 'Значения f'.\n", + "Ограничьте график по оси x значениями 0.5 и 9.5, а по оси y - значениями -2.5 и 2.5." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "f19e1fe4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2024-06-03T11:42:36.735077\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.9.0, https://matplotlib.org/\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(0, 10, 51)\n", + "\n", + "f = np.cos(t)\n", + "\n", + "plt.plot(t, f, color=\"green\")\n", + "\n", + "plt.title(\"График f(t)\")\n", + "plt.xlabel(\"Значения t\")\n", + "plt.ylabel(\"Значения f\")\n", + "\n", + "plt.axis([0.5, 9.5, -2.5, 2.5])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "73611d04", + "metadata": {}, + "source": [ + "### Задание 3\n", + "С помощью функции linspace библиотеки Numpy создайте массив x из 51 числа от -3 до 3\n", + "включительно.\n", + "Создайте массивы y1, y2, y3, y4 по следующим формулам:\n", + "y1 = x**2\n", + "y2 = 2 * x + 0.5\n", + "y3 = -3 * x - 1.5\n", + "y4 = sin(x)\n", + "Используя функцию subplots модуля matplotlib.pyplot, создайте объект matplotlib.figure.Figure с\n", + "названием fig и массив объектов Axes под названием ax,причем так, чтобы у вас было 4 отдельных\n", + "графика в сетке, состоящей из двух строк и двух столбцов. В каждом графике массив x используется\n", + "для координат по горизонтали.В левом верхнем графике для координат по вертикали используйте\n", + "y1,в правом верхнем - y2, в левом нижнем - y3, в правом нижнем - y4.Дайте название графикам:\n", + "'График y1', 'График y2' и т.д.\n", + "Для графика в левом верхнем углу установите границы по оси x от -5 до 5.\n", + "Установите размеры фигуры 8 дюймов по горизонтали и 6 дюймов по вертикали.\n", + "Вертикальные и горизонтальные зазоры между графиками должны составлять 0.3" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "ea585c38", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'График y4')" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2024-06-03T11:42:37.042700\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.9.0, 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 51)\n", + "\n", + "y1 = x**2\n", + "y2 = 2*x + 0.5\n", + "y3 = -3*x - 1.5\n", + "y4 = np.sin(x)\n", + "\n", + "fig, ax = plt.subplots(nrows=2, ncols=2)\n", + "\n", + "fig.set_size_inches(8, 6)\n", + "fig.subplots_adjust(wspace=0.3, hspace=0.3)\n", + "\n", + "ax1, ax2, ax3, ax4 = ax.flatten()\n", + "\n", + "ax1.plot(x, y1)\n", + "ax1.set_title(\"График y1\")\n", + "ax1.set_xlim([-5, 5])\n", + "ax2.plot(x, y2)\n", + "ax2.set_title(\"График y2\")\n", + "ax3.plot(x, y3)\n", + "ax3.set_title(\"График y3\")\n", + "ax4.plot(x, y4)\n", + "ax4.set_title(\"График y4\")" + ] + }, + { + "cell_type": "markdown", + "id": "c77b9177", + "metadata": {}, + "source": [ + "### Задание 4\n", + "В этом задании мы будем работать с датасетом, в котором приведены данные по мошенничеству с\n", + "кредитными данными: Credit Card Fraud Detection (информация об авторах: Andrea Dal Pozzolo, Olivier\n", + "Caelen, Reid A. Johnson and Gianluca Bontempi. Calibrating Probability with Undersampling for Unbalanced\n", + "Classification. In Symposium on Computational Intelligence and Data Mining (CIDM), IEEE, 2015).\n", + "Ознакомьтесь с описанием и скачайте датасет creditcard.csv с сайта Kaggle.com по ссылке:\n", + "Credit Card Fraud Detection\n", + "Данный датасет является примером несбалансированных данных, так как мошеннические операции с\n", + "картами встречаются реже обычных.\n", + "Импортируйте библиотеку Pandas, а также используйте для графиков стиль “fivethirtyeight”.\n", + "© geekbrains.ru 1\n", + "Посчитайте с помощью метода value_counts количество наблюдений для каждого значения целевой\n", + "переменной Class и примените к полученным данным метод plot, чтобы построить столбчатую\n", + "диаграмму. Затем постройте такую же диаграмму, используя логарифмический масштаб.\n", + "На следующем графике постройте две гистограммы по значениям признака V1 - одну для\n", + "мошеннических транзакций (Class равен 1) и другую - для обычных (Class равен 0). Подберите\n", + "значение аргумента density так, чтобы по вертикали графика было расположено не число\n", + "наблюдений, а плотность распределения. Число бинов должно равняться 20 для обеих гистограмм, а\n", + "коэффициент alpha сделайте равным 0.5, чтобы гистограммы были полупрозрачными и не\n", + "загораживали друг друга. Создайте легенду с двумя значениями: “Class 0” и “Class 1”. Гистограмма\n", + "обычных транзакций должна быть серого цвета, а мошеннических - красного. Горизонтальной оси\n", + "дайте название “V1”." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "65f2dc4a-f788-4f45-b8d7-7bd6de270815", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dataset URL: https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud\n", + "License(s): DbCL-1.0\n", + "Downloading creditcardfraud.zip to W:\\Projects\\GB\\Python\\MLearning\\DSLibraries\\Lesson4\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + " 0%| | 0.00/66.0M [00:00\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
TimeV1V2V3V4V5V6V7V8V9...V21V22V23V24V25V26V27V28AmountClass
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21.0-1.358354-1.3401631.7732090.379780-0.5031981.8004990.7914610.247676-1.514654...0.2479980.7716790.909412-0.689281-0.327642-0.139097-0.055353-0.059752378.660
31.0-0.966272-0.1852261.792993-0.863291-0.0103091.2472030.2376090.377436-1.387024...-0.1083000.005274-0.190321-1.1755750.647376-0.2219290.0627230.061458123.500
42.0-1.1582330.8777371.5487180.403034-0.4071930.0959210.592941-0.2705330.817739...-0.0094310.798278-0.1374580.141267-0.2060100.5022920.2194220.21515369.990
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TimeV1V2V3V4V5V6V7V8V9...V21V22V23V24V25V26V27V28AmountClass
count284807.0000002.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+05...2.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+052.848070e+05284807.000000284807.000000
mean94813.8595751.168375e-153.416908e-16-1.379537e-152.074095e-159.604066e-161.487313e-15-5.556467e-161.213481e-16-2.406331e-15...1.654067e-16-3.568593e-162.578648e-164.473266e-155.340915e-161.683437e-15-3.660091e-16-1.227390e-1688.3496190.001727
std47488.1459551.958696e+001.651309e+001.516255e+001.415869e+001.380247e+001.332271e+001.237094e+001.194353e+001.098632e+00...7.345240e-017.257016e-016.244603e-016.056471e-015.212781e-014.822270e-014.036325e-013.300833e-01250.1201090.041527
min0.000000-5.640751e+01-7.271573e+01-4.832559e+01-5.683171e+00-1.137433e+02-2.616051e+01-4.355724e+01-7.321672e+01-1.343407e+01...-3.483038e+01-1.093314e+01-4.480774e+01-2.836627e+00-1.029540e+01-2.604551e+00-2.256568e+01-1.543008e+010.0000000.000000
25%54201.500000-9.203734e-01-5.985499e-01-8.903648e-01-8.486401e-01-6.915971e-01-7.682956e-01-5.540759e-01-2.086297e-01-6.430976e-01...-2.283949e-01-5.423504e-01-1.618463e-01-3.545861e-01-3.171451e-01-3.269839e-01-7.083953e-02-5.295979e-025.6000000.000000
50%84692.0000001.810880e-026.548556e-021.798463e-01-1.984653e-02-5.433583e-02-2.741871e-014.010308e-022.235804e-02-5.142873e-02...-2.945017e-026.781943e-03-1.119293e-024.097606e-021.659350e-02-5.213911e-021.342146e-031.124383e-0222.0000000.000000
75%139320.5000001.315642e+008.037239e-011.027196e+007.433413e-016.119264e-013.985649e-015.704361e-013.273459e-015.971390e-01...1.863772e-015.285536e-011.476421e-014.395266e-013.507156e-012.409522e-019.104512e-027.827995e-0277.1650000.000000
max172792.0000002.454930e+002.205773e+019.382558e+001.687534e+013.480167e+017.330163e+011.205895e+022.000721e+011.559499e+01...2.720284e+011.050309e+012.252841e+014.584549e+007.519589e+003.517346e+003.161220e+013.384781e+0125691.1600001.000000
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8 rows × 31 columns

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V21 V22 V23 V24 \\\n", + "count ... 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 \n", + "mean ... 1.654067e-16 -3.568593e-16 2.578648e-16 4.473266e-15 \n", + "std ... 7.345240e-01 7.257016e-01 6.244603e-01 6.056471e-01 \n", + "min ... -3.483038e+01 -1.093314e+01 -4.480774e+01 -2.836627e+00 \n", + "25% ... -2.283949e-01 -5.423504e-01 -1.618463e-01 -3.545861e-01 \n", + "50% ... -2.945017e-02 6.781943e-03 -1.119293e-02 4.097606e-02 \n", + "75% ... 1.863772e-01 5.285536e-01 1.476421e-01 4.395266e-01 \n", + "max ... 2.720284e+01 1.050309e+01 2.252841e+01 4.584549e+00 \n", + "\n", + " V25 V26 V27 V28 Amount \\\n", + "count 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 284807.000000 \n", + "mean 5.340915e-16 1.683437e-15 -3.660091e-16 -1.227390e-16 88.349619 \n", + "std 5.212781e-01 4.822270e-01 4.036325e-01 3.300833e-01 250.120109 \n", + "min -1.029540e+01 -2.604551e+00 -2.256568e+01 -1.543008e+01 0.000000 \n", + "25% -3.171451e-01 -3.269839e-01 -7.083953e-02 -5.295979e-02 5.600000 \n", + "50% 1.659350e-02 -5.213911e-02 1.342146e-03 1.124383e-02 22.000000 \n", + "75% 3.507156e-01 2.409522e-01 9.104512e-02 7.827995e-02 77.165000 \n", + "max 7.519589e+00 3.517346e+00 3.161220e+01 3.384781e+01 25691.160000 \n", + "\n", + " Class \n", + "count 284807.000000 \n", + "mean 0.001727 \n", + "std 0.041527 \n", + "min 0.000000 \n", + "25% 0.000000 \n", + "50% 0.000000 \n", + "75% 0.000000 \n", + "max 1.000000 \n", + "\n", + "[8 rows x 31 columns]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ab04cf33-e36b-4991-917b-e91a2dfa7fcd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 284807 entries, 0 to 284806\n", + "Data columns (total 31 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Time 284807 non-null float64\n", + " 1 V1 284807 non-null float64\n", + " 2 V2 284807 non-null float64\n", + " 3 V3 284807 non-null float64\n", + " 4 V4 284807 non-null float64\n", + " 5 V5 284807 non-null float64\n", + " 6 V6 284807 non-null float64\n", + " 7 V7 284807 non-null float64\n", + " 8 V8 284807 non-null float64\n", + " 9 V9 284807 non-null float64\n", + " 10 V10 284807 non-null float64\n", + " 11 V11 284807 non-null float64\n", + " 12 V12 284807 non-null float64\n", + " 13 V13 284807 non-null float64\n", + " 14 V14 284807 non-null float64\n", + " 15 V15 284807 non-null float64\n", + " 16 V16 284807 non-null float64\n", + " 17 V17 284807 non-null float64\n", + " 18 V18 284807 non-null float64\n", + " 19 V19 284807 non-null float64\n", + " 20 V20 284807 non-null float64\n", + " 21 V21 284807 non-null float64\n", + " 22 V22 284807 non-null float64\n", + " 23 V23 284807 non-null float64\n", + " 24 V24 284807 non-null float64\n", + " 25 V25 284807 non-null float64\n", + " 26 V26 284807 non-null float64\n", + " 27 V27 284807 non-null float64\n", + " 28 V28 284807 non-null float64\n", + " 29 Amount 284807 non-null float64\n", + " 30 Class 284807 non-null int64 \n", + "dtypes: float64(30), int64(1)\n", + "memory usage: 67.4 MB\n" + ] + } + ], + "source": [ + "df.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "6c31fc17", + "metadata": {}, + "outputs": [], + "source": [ + "class_counts = df.Class.value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "29b823c1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2024-06-03T12:53:10.650385\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.9.0, https://matplotlib.org/\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "\n" + ], + "text/plain": [ + "
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "V1_0 = df[df[\"Class\"]==0].V1\n", + "\n", + "ax.set_xlabel(\"V1\")\n", + "ax.axis([-30, 5, 0, 0.2])\n", + "\n", + "df[df[\"Class\"]==0].V1.hist(ax=ax, label = \"Class 0\", bins=20, alpha=0.5, color='gray', density=True)\n", + "df[df[\"Class\"]==1].V1.hist(ax=ax, label = \"Class 1\", bins=20, alpha=0.5, color='red', density=True)\n", + "\n", + "legend = fig.legend(loc=\"upper right\", frameon=False)" + ] + }, + { + "cell_type": "markdown", + "id": "af2c4346", + "metadata": {}, + "source": [ + "## Задание на повторение материала\n", + "### 1. Создать одномерный массив Numpy под названием a из 12 последовательных целых чисел чисел от 12 до 24 невключительно" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "id": "557a8256-9c01-4f25-a014-0d228c69024c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[12 13 14 15 16 17 18 19 20 21 22 23]\n" + ] + } + ], + "source": [ + "a = np.arange(12, 24, dtype=int)\n", + " \n", + "print(a)" + ] + }, + { + "cell_type": "markdown", + "id": "1c77f2b4-a4a1-4758-ab20-9c95b50a7228", + "metadata": {}, + "source": [ + "### 2. Создать 5 двумерных массивов разной формы из массива a. Не использовать в аргументах метода reshape число -1." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "c532a55c-a2e4-41b8-88fc-57202937c2df", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12],\n", + " [13],\n", + " [14],\n", + " [15],\n", + " [16],\n", + " [17],\n", + " [18],\n", + " [19],\n", + " [20],\n", + " [21],\n", + " [22],\n", + " [23]])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (12, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "fdd1014d-c6f5-48bc-b047-81038d8fd827", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15, 16, 17],\n", + " [18, 19, 20, 21, 22, 23]])" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (2, 6))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "0ad59875-d3b2-4e5e-acfe-574669e8a068", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13],\n", + " [14, 15],\n", + " [16, 17],\n", + " [18, 19],\n", + " [20, 21],\n", + " [22, 23]])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (6, 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "fc9a8aaa-d246-4876-a818-3bbb268a4a06", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [16, 17, 18, 19],\n", + " [20, 21, 22, 23]])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (3, 4))" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "f58c5c92-4e45-4b11-8ee9-03930d40213e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14],\n", + " [15, 16, 17],\n", + " [18, 19, 20],\n", + " [21, 22, 23]])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (4, 3))" + ] + }, + { + "cell_type": "markdown", + "id": "dda06888-4535-4b11-a8ac-8366cb665662", + "metadata": {}, + "source": [ + "### 3. Создать 5 двумерных массивов разной формы из массива a. Использовать в аргументах метода reshape число -1 (в трех примерах - для обозначения числа столбцов, в двух - для строк)." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "5d2eceed-d468-43e2-a896-03db80347de7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15, 16, 17],\n", + " [18, 19, 20, 21, 22, 23]])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (2, -1))" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "5d4e33c6-9991-48f1-92dc-fe039f1f1403", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [16, 17, 18, 19],\n", + " [20, 21, 22, 23]])" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (3, -1))" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "7c5ee813-ab4a-44eb-af9b-0c6f086ff275", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14],\n", + " [15, 16, 17],\n", + " [18, 19, 20],\n", + " [21, 22, 23]])" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (4, -1))" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "19305afe-f66e-439d-86fb-4f1a8e9289fd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13],\n", + " [14, 15],\n", + " [16, 17],\n", + " [18, 19],\n", + " [20, 21],\n", + " [22, 23]])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (-1, 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "021fef61-9517-4ed0-9a49-f0dd68416dff", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15, 16, 17],\n", + " [18, 19, 20, 21, 22, 23]])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.reshape(a, (-1, 6))" + ] + }, + { + "cell_type": "markdown", + "id": "aae22acf-9657-4492-b4d8-d6707dd79d6e", + "metadata": {}, + "source": [ + "### 4. Можно ли массив Numpy, состоящий из одного столбца и 12 строк, назвать одномерным?" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "a039beed-b1fb-428a-995b-f4788b8ba5c2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "shape=(12, 1)=>размерность=2, следоватьельно одномерным может быть только вектор\n" + ] + } + ], + "source": [ + "b = np.resize(a, (12, 1))\n", + "\n", + "print(f\"shape={b.shape}=>размерность={b.ndim}, следоватьельно одномерным может быть только вектор\")" + ] + }, + { + "cell_type": "markdown", + "id": "65303edd-4937-4b7e-85f0-82412f9e320b", + "metadata": {}, + "source": [ + "### 5. Создать массив из 3 строк и 4 столбцов, состоящий из случайных чисел с плавающей запятой из нормального распределения со средним, равным 0 и среднеквадратичным отклонением, равным 1.0. Получить из этого массива одномерный массив с таким же атрибутом size, как и исходный массив." + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "6f9c7bba-d9b2-4e26-8630-8322e6d1f329", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 5.30087681e-01 -1.00730270e+00 3.49023257e-01 1.17610515e-01]\n", + " [-3.73873348e-05 -4.65003983e-01 1.17452549e+00 3.80377532e-02]\n", + " [-4.71755245e-02 3.99082256e-01 -1.15223721e-01 -2.65055731e+00]]\n", + "[[ 5.30087681e-01 -1.00730270e+00 3.49023257e-01 1.17610515e-01\n", + " -3.73873348e-05 -4.65003983e-01 1.17452549e+00 3.80377532e-02\n", + " -4.71755245e-02 3.99082256e-01 -1.15223721e-01 -2.65055731e+00]]\n", + "a.size = 12 <=> 12 = b.size\n" + ] + } + ], + "source": [ + "a = np.random.randn(3, 4)\n", + "b = a.reshape(1, 12)\n", + "print(a)\n", + "print(b)\n", + "print(f\"a.size = {a.size} <=> {b.size} = b.size\")" + ] + }, + { + "cell_type": "markdown", + "id": "6b177aff-4007-4af0-a927-82cb03183362", + "metadata": {}, + "source": [ + "### 6. Создать массив a, состоящий из целых чисел, убывающих от 20 до 0 невключительно с интервалом 2." + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "a78dbbed-cbf3-4536-8e0a-f19586aa9218", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[20 18 16 14 12 10 8 6 4 2]\n" + ] + } + ], + "source": [ + "a = np.arange(20, 0, -2, dtype=int)\n", + "\n", + "print(a)" + ] + }, + { + "cell_type": "markdown", + "id": "3edb8cc8-ca5a-414f-9928-0c3be3fae6a1", + "metadata": {}, + "source": [ + "### 7. Создать массив b, состоящий из 1 строки и 10 столбцов: целых чисел, убывающих от 20 до 1 невключительно с интервалом 2. В чем разница между массивами a и b?" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "id": "de8d49ea-a843-46ff-ab8f-f2b967cebeb2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[20 18 16 14 12 10 8 6 4 2] = [20 18 16 14 12 10 8 6 4 2] => разницы нет\n" + ] + } + ], + "source": [ + "b = np.arange(20, 1, -2, dtype=int)\n", + "\n", + "print(f\"{a} = {b} => разницы нет\")" + ] + }, + { + "cell_type": "markdown", + "id": "48add411-602f-46b7-9cb5-98388a6d742c", + "metadata": {}, + "source": [ + "### 8. Вертикально соединить массивы a и b. a - двумерный массив из нулей, число строк которого больше 1 и на 1 меньше, чем число строк двумерного массива b, состоящего из единиц. Итоговый массив v должен иметь атрибут size, равный 10." + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "e64df321-366c-4400-a406-b775e19a6870", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0. 0.]\n", + " [0. 0.]\n", + " [1. 1.]\n", + " [1. 1.]\n", + " [1. 1.]] \n", + " size=10\n" + ] + } + ], + "source": [ + "a = np.zeros((2, 2))\n", + "b = np.ones((3,2))\n", + "c = np.vstack((a, b))\n", + "print(f\"{c} \\n size={c.size}\")" + ] + }, + { + "cell_type": "markdown", + "id": "85da760f-5076-4e9a-acb4-4e756ac72407", + "metadata": {}, + "source": [ + "### 9. Создать одномерный массив а, состоящий из последовательности целых чисел от 0 до 12. Поменять форму этого массива, чтобы получилась матрица A (двумерный массив Numpy), состоящая из 4 строк и 3 столбцов. Получить матрицу At путем транспонирования атрицы A. Получить матрицу B, умножив матрицу A на матрицу At с помощью матричного умножения. Какой размер имеет матрица B? Получится ли вычислить обратную матрицу для матрицы B и почему?" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "bc97b82a-eaec-4f6c-b9c8-4159dc45c44f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "матрица B =\n", + "[[ 5 14 23 32]\n", + " [ 14 50 86 122]\n", + " [ 23 86 149 212]\n", + " [ 32 122 212 302]]\n", + "размер = (4, 4)\n", + "определитель = 0 => обратная матрица не существует\n" + ] + } + ], + "source": [ + "a = np.arange(0, 12, dtype=int)\n", + "A = np.reshape(a, (4, -1))\n", + "At = A.T\n", + "B = np.dot(A, At)\n", + "print(f\"матрица B =\\n{B}\\nразмер = {B.shape}\\nопределитель = {np.linalg.det(B):1.0f} => обратная матрица не существует\")" + ] + }, + { + "cell_type": "markdown", + "id": "957e860b-9d20-46cf-91b0-2662c2faeebb", + "metadata": {}, + "source": [ + "### 10. Инициализируйте генератор случайных числе с помощью объекта seed, равного 42." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "97c0fa11-6530-461b-bb89-65cb6d38b83f", + "metadata": {}, + "outputs": [], + "source": [ + "seed(42)" + ] + }, + { + "cell_type": "markdown", + "id": "7d7b04ea-a205-4a64-bf93-f68c62b69b5f", + "metadata": {}, + "source": [ + "### 11. Создайте одномерный массив c, составленный из последовательности 16-ти случайных равномерно распределенных целых чисел от 0 до 16 невключительно." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "b307b5d5-e3aa-44b8-94f3-2a9b8877fd5b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16]\n" + ] + } + ], + "source": [ + "c = np.linspace(start=0, stop=16, num=16, dtype=int)\n", + "print(c)" + ] + }, + { + "cell_type": "markdown", + "id": "3107f89b-c513-4eeb-b21f-d091920b51b3", + "metadata": {}, + "source": [ + "### 12. Поменяйте его форму так, чтобы получилась квадратная матрица C. Получите матрицу D, поэлементно прибавив матрицу B из предыдущего вопроса к матрице C, умноженной на 10. Вычислите определитель, ранг и обратную матрицу D_inv для D." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "721efedc-bcdd-4aa0-b7bf-58469b31fbf2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "C =\n", + "[[ 0 1 2 3]\n", + " [ 4 5 6 7]\n", + " [ 8 9 10 11]\n", + " [12 13 14 16]]\n", + "D =\n", + "[[ 5 24 43 62]\n", + " [ 54 100 146 192]\n", + " [103 176 249 322]\n", + " [152 252 352 462]]\n", + "определитель = 2.2623680706601445e-10\n", + "ранг = 3\n", + "D_inv =\n", + "[[-3.51843721e+13 7.03687442e+13 -3.51843721e+13 -3.12500000e-03]\n", + " [ 7.03687442e+13 -1.40737488e+14 7.03687442e+13 1.06250000e-01]\n", + " [-3.51843721e+13 7.03687442e+13 -3.51843721e+13 -2.03125000e-01]\n", + " [ 2.00000000e-01 -3.00000000e-01 -0.00000000e+00 1.00000000e-01]]\n" + ] + } + ], + "source": [ + "C = np.reshape(c, (4, -1))\n", + "print(f\"C =\\n{C}\")\n", + "D = B + C * 10\n", + "D_inv = np.linalg.inv(D)\n", + "print(f\"D =\\n{D}\\nопределитель = {np.linalg.det(D)}\\nранг = {np.linalg.matrix_rank(D)}\\nD_inv =\\n{D_inv}\")" + ] + }, + { + "cell_type": "markdown", + "id": "05de35ef-439f-4273-8902-9fbf5d1dd878", + "metadata": {}, + "source": [ + "### 13. Приравняйте к нулю отрицательные числа в матрице D_inv, а положительные - к единице. Убедитесь, что в матрице D_inv остались только нули и единицы. С помощью функции numpy.where, используя матрицу D_inv в качестве маски, а матрицы B и C - в качестве источников данных, получите матрицу E размером 4x4. Элементы матрицы E, для которых соответствующий элемент матрицы D_inv равен 1, должны быть равны соответствующему элементу матрицы B, а элементы матрицы E, для которых соответствующий элемент матрицы D_inv равен 0, должны быть равны соответствующему элементу матрицы C." + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "ae14bda8-3197-4ce6-8ed7-9227f40ee440", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "D_inv =\n", + "[[ 0. 1. 0. 0.]\n", + " [ 1. 0. 1. 1.]\n", + " [ 0. 1. 0. 0.]\n", + " [ 1. 0. -0. 1.]]\n", + "E =\n", + "[[ 0. 14. 2. 3.]\n", + " [ 14. 5. 86. 122.]\n", + " [ 8. 86. 10. 11.]\n", + " [ 32. 13. 14. 302.]]\n" + ] + } + ], + "source": [ + "D_inv[np.where(D_inv < 0)] = 0\n", + "D_inv[np.where(D_inv > 0)] = 1\n", + "print(f\"D_inv =\\n{D_inv}\")\n", + "\n", + "E = np.zeros((4, 4))\n", + "E[np.where(D_inv == 0)] = C[np.where(D_inv == 0)]\n", + "E[np.where(D_inv == 1)] = B[np.where(D_inv == 1)]\n", + "print(f\"E =\\n{E}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e8ecf6a0-078c-4d26-9aa0-8d84514df3e7", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 6fc5beff16a37111bdea3e6ad063953403ed4c89 Mon Sep 17 00:00:00 2001 From: Foton Date: Mon, 10 Jun 2024 18:33:48 +0300 Subject: [PATCH 2/9] Release Home Work Machine Learning DScience Lesson6 --- Lesson6/Task2.ipynb | 1979 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1979 insertions(+) create mode 100644 Lesson6/Task2.ipynb diff --git a/Lesson6/Task2.ipynb b/Lesson6/Task2.ipynb new file mode 100644 index 0000000..2ebd9ce --- /dev/null +++ b/Lesson6/Task2.ipynb @@ -0,0 +1,1979 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b2f2e5e2", + "metadata": {}, + "source": [ + "## Тема “Обучение с учителем”" + ] + }, + { + "cell_type": "markdown", + "id": "16595a84", + "metadata": {}, + "source": [ + "### Задание 1\n", + "Импортируйте библиотеки pandas и numpy.\n", + "Загрузите \"Boston House Prices dataset\" из встроенных наборов данных библиотеки sklearn..\n", + "Разбейте эти датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test) с помощью\n", + "функции train_test_split так, чтобы размер тестовой выборки\n", + "составлял 30% от всех данных, при этом аргумент random state должен быть равен 42.\n", + "Создайте модель линейной регрессии под названием lr с помощью класса LinearRegression из модуля\n", + "sklearn.linear_model.\n", + "Обучите модель на тренировочных данных (используйте все признаки) и сделайте предсказание на\n", + "тестовых." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "274303e6", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "693a9c36", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "pd.options.display.max_columns = 100\n", + "\n", + "from sklearn.datasets import load_boston" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a37f783d", + "metadata": {}, + "outputs": [], + "source": [ + "boston = load_boston()\n", + "\n", + "feature_names = boston[\"feature_names\"]\n", + "\n", + "X = pd.DataFrame(boston[\"data\"], columns=feature_names)\n", + "y = pd.DataFrame(boston[\"target\"], columns=[\"price\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5a2e0780", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((354, 13), (152, 13))" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n", + "\n", + "X_train.shape, X_test.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "96164976", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "\n", + "lr = LinearRegression()\n", + "\n", + "lr.fit(X_train, y_train)\n", + "\n", + "lr_pred = lr.predict(X_test)" + ] + }, + { + "cell_type": "markdown", + "id": "a07cffa5", + "metadata": {}, + "source": [ + "### Задание 2\n", + "Создайте модель под названием model с помощью класса RandomForestRegressor из модуля\n", + "sklearn.ensemble.\n", + "Сделайте агрумент n_estimators равным 1000,\n", + "max_depth должен быть равен 12 и random_state сделайте равным 42.\n", + "Обучите модель на тренировочных данных аналогично тому, как вы обучали модель LinearRegression,\n", + "но при этом в метод fit вместо датафрейма y_train поставьте y_train.values[:, 0],\n", + "чтобы получить из датафрейма одномерный массив Numpy,\n", + "так как для класса RandomForestRegressor в данном методе для аргумента y предпочтительно\n", + "применение массивов вместо датафрейма.\n", + "Сделайте предсказание на тестовых данных и посчитайте R2. Сравните с результатом из\n", + "предыдущего задания.\n", + "Напишите в комментариях к коду, какая модель в данном случае работает лучше" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "64042e74", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "оценка R2 модели ансамбля случайного леса выше чем у линейной регрессии\n", + "RandomForestRegressor=0.8747\n", + "LinearRegression=0.7112\n" + ] + } + ], + "source": [ + "from sklearn.ensemble import RandomForestRegressor\n", + "from sklearn.metrics import r2_score\n", + "\n", + "model = RandomForestRegressor(max_depth=12, n_estimators=1000, random_state=42)\n", + "\n", + "model.fit(X_train, y_train.values[:,0])\n", + "\n", + "rf_pred = model.predict(X_test)\n", + "\n", + "r2_lr = r2_score(y_test, lr_pred)\n", + "r2_rf = r2_score(y_test, rf_pred)\n", + "\n", + "print(f\"оценка R2 модели ансамбля случайного леса {'выше' if r2_rf > r2_lr else 'ниже' } \" \n", + " f\"чем у линейной регрессии\\nRandomForestRegressor={r2_rf:.4f}\\nLinearRegression={r2_lr:.4f}\")" + ] + }, + { + "cell_type": "markdown", + "id": "94b0548e", + "metadata": {}, + "source": [ + "### *Задание 3\n", + "Вызовите документацию для класса RandomForestRegressor,\n", + "найдите информацию об атрибуте feature_importances_.\n", + "С помощью этого атрибута найдите сумму всех показателей важности,\n", + "установите, какие два признака показывают наибольшую важность." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1327004d", + "metadata": {}, + "outputs": [], + "source": [ + "?RandomForestRegressor" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c8e1fab0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "сумма показателей важности признаков модели = 1.0\n" + ] + } + ], + "source": [ + "print(f\"сумма показателей важности признаков модели = {np.sum(model.feature_importances_)}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "744deb30", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "первые два наиболее важные признака\n" + ] + }, + { + "data": { + "text/html": [ + "
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featureimportance
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" + ], + "text/plain": [ + " feature importance\n", + "12 LSTAT 0.415847\n", + "5 RM 0.402682" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "print(\"первые два наиболее важные признака\")\n", + "pd.DataFrame({'feature': feature_names,'importance': model.feature_importances_}) \\\n", + ".sort_values('importance',ascending = False) \\\n", + ".head(2)" + ] + }, + { + "cell_type": "markdown", + "id": "b9004884", + "metadata": {}, + "source": [ + "## *Задание 4\n", + "В этом задании мы будем работать с датасетом, с которым мы уже знакомы по домашнему заданию\n", + "по библиотеке Matplotlib, это датасет Credit Card Fraud Detection.Для этого датасета мы будем решать\n", + "задачу классификации - будем определять,какие из транзакции по кредитной карте являются\n", + "мошенническими.Данный датасет сильно несбалансирован (так как случаи мошенничества\n", + "относительно редки),так что применение метрики accuracy не принесет пользы и не поможет выбрать\n", + "лучшую модель.Мы будем вычислять AUC, то есть площадь под кривой ROC.\n", + "Импортируйте из соответствующих модулей RandomForestClassifier, GridSearchCV и train_test_split.\n", + "Загрузите датасет creditcard.csv и создайте датафрейм df." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "a65b98a0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dataset URL: https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud\n", + "License(s): DbCL-1.0\n", + "Downloading creditcardfraud.zip to W:\\Projects\\GB\\Python\\MLearning\\DSLibraries\\Lesson6\n", + "\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + " 0%| | 0.00/66.0M [00:00\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + 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TimeV1V2V3V4V5V6V7V8V9V10V11V12V13V14V15V16V17V18V19V20V21V22V23V24V25V26V27V28AmountClass
00.0-1.359807-0.0727812.5363471.378155-0.3383210.4623880.2395990.0986980.3637870.090794-0.551600-0.617801-0.991390-0.3111691.468177-0.4704010.2079710.0257910.4039930.251412-0.0183070.277838-0.1104740.0669280.128539-0.1891150.133558-0.021053149.620
10.01.1918570.2661510.1664800.4481540.060018-0.082361-0.0788030.085102-0.255425-0.1669741.6127271.0652350.489095-0.1437720.6355580.463917-0.114805-0.183361-0.145783-0.069083-0.225775-0.6386720.101288-0.3398460.1671700.125895-0.0089830.0147242.690
21.0-1.358354-1.3401631.7732090.379780-0.5031981.8004990.7914610.247676-1.5146540.2076430.6245010.0660840.717293-0.1659462.345865-2.8900831.109969-0.121359-2.2618570.5249800.2479980.7716790.909412-0.689281-0.327642-0.139097-0.055353-0.059752378.660
31.0-0.966272-0.1852261.792993-0.863291-0.0103091.2472030.2376090.377436-1.387024-0.054952-0.2264870.1782280.507757-0.287924-0.631418-1.059647-0.6840931.965775-1.232622-0.208038-0.1083000.005274-0.190321-1.1755750.647376-0.2219290.0627230.061458123.500
42.0-1.1582330.8777371.5487180.403034-0.4071930.0959210.592941-0.2705330.8177390.753074-0.8228430.5381961.345852-1.1196700.175121-0.451449-0.237033-0.0381950.8034870.408542-0.0094310.798278-0.1374580.141267-0.2060100.5022920.2194220.21515369.990
52.0-0.4259660.9605231.141109-0.1682520.420987-0.0297280.4762010.260314-0.568671-0.3714071.3412620.359894-0.358091-0.1371340.5176170.401726-0.0581330.068653-0.0331940.084968-0.208254-0.559825-0.026398-0.371427-0.2327940.1059150.2538440.0810803.670
64.01.2296580.1410040.0453711.2026130.1918810.272708-0.0051590.0812130.464960-0.099254-1.416907-0.153826-0.7510630.1673720.050144-0.4435870.002821-0.611987-0.045575-0.219633-0.167716-0.270710-0.154104-0.7800550.750137-0.2572370.0345070.0051684.990
77.0-0.6442691.4179641.074380-0.4921990.9489340.4281181.120631-3.8078640.6153751.249376-0.6194680.2914741.757964-1.3238650.686133-0.076127-1.222127-0.3582220.324505-0.1567421.943465-1.0154550.057504-0.649709-0.415267-0.051634-1.206921-1.08533940.800
87.0-0.8942860.286157-0.113192-0.2715262.6695993.7218180.3701450.851084-0.392048-0.410430-0.705117-0.110452-0.2862540.074355-0.328783-0.210077-0.4997680.1187650.5703280.052736-0.073425-0.268092-0.2042331.0115920.373205-0.3841570.0117470.14240493.200
99.0-0.3382621.1195931.044367-0.2221870.499361-0.2467610.6515830.069539-0.736727-0.3668461.0176140.8363901.006844-0.4435230.1502190.739453-0.5409800.4766770.4517730.203711-0.246914-0.633753-0.120794-0.385050-0.0697330.0941990.2462190.0830763.680
\n", + "" + ], + "text/plain": [ + " Time V1 V2 V3 V4 V5 V6 V7 \\\n", + "0 0.0 -1.359807 -0.072781 2.536347 1.378155 -0.338321 0.462388 0.239599 \n", + "1 0.0 1.191857 0.266151 0.166480 0.448154 0.060018 -0.082361 -0.078803 \n", + "2 1.0 -1.358354 -1.340163 1.773209 0.379780 -0.503198 1.800499 0.791461 \n", + "3 1.0 -0.966272 -0.185226 1.792993 -0.863291 -0.010309 1.247203 0.237609 \n", + "4 2.0 -1.158233 0.877737 1.548718 0.403034 -0.407193 0.095921 0.592941 \n", + "5 2.0 -0.425966 0.960523 1.141109 -0.168252 0.420987 -0.029728 0.476201 \n", + "6 4.0 1.229658 0.141004 0.045371 1.202613 0.191881 0.272708 -0.005159 \n", + "7 7.0 -0.644269 1.417964 1.074380 -0.492199 0.948934 0.428118 1.120631 \n", + "8 7.0 -0.894286 0.286157 -0.113192 -0.271526 2.669599 3.721818 0.370145 \n", + "9 9.0 -0.338262 1.119593 1.044367 -0.222187 0.499361 -0.246761 0.651583 \n", + "\n", + " V8 V9 V10 V11 V12 V13 V14 \\\n", + "0 0.098698 0.363787 0.090794 -0.551600 -0.617801 -0.991390 -0.311169 \n", + "1 0.085102 -0.255425 -0.166974 1.612727 1.065235 0.489095 -0.143772 \n", + "2 0.247676 -1.514654 0.207643 0.624501 0.066084 0.717293 -0.165946 \n", + "3 0.377436 -1.387024 -0.054952 -0.226487 0.178228 0.507757 -0.287924 \n", + "4 -0.270533 0.817739 0.753074 -0.822843 0.538196 1.345852 -1.119670 \n", + "5 0.260314 -0.568671 -0.371407 1.341262 0.359894 -0.358091 -0.137134 \n", + "6 0.081213 0.464960 -0.099254 -1.416907 -0.153826 -0.751063 0.167372 \n", + "7 -3.807864 0.615375 1.249376 -0.619468 0.291474 1.757964 -1.323865 \n", + "8 0.851084 -0.392048 -0.410430 -0.705117 -0.110452 -0.286254 0.074355 \n", + "9 0.069539 -0.736727 -0.366846 1.017614 0.836390 1.006844 -0.443523 \n", + "\n", + " V15 V16 V17 V18 V19 V20 V21 \\\n", + "0 1.468177 -0.470401 0.207971 0.025791 0.403993 0.251412 -0.018307 \n", + "1 0.635558 0.463917 -0.114805 -0.183361 -0.145783 -0.069083 -0.225775 \n", + "2 2.345865 -2.890083 1.109969 -0.121359 -2.261857 0.524980 0.247998 \n", + "3 -0.631418 -1.059647 -0.684093 1.965775 -1.232622 -0.208038 -0.108300 \n", + "4 0.175121 -0.451449 -0.237033 -0.038195 0.803487 0.408542 -0.009431 \n", + "5 0.517617 0.401726 -0.058133 0.068653 -0.033194 0.084968 -0.208254 \n", + "6 0.050144 -0.443587 0.002821 -0.611987 -0.045575 -0.219633 -0.167716 \n", + "7 0.686133 -0.076127 -1.222127 -0.358222 0.324505 -0.156742 1.943465 \n", + "8 -0.328783 -0.210077 -0.499768 0.118765 0.570328 0.052736 -0.073425 \n", + "9 0.150219 0.739453 -0.540980 0.476677 0.451773 0.203711 -0.246914 \n", + "\n", + " V22 V23 V24 V25 V26 V27 V28 \\\n", + "0 0.277838 -0.110474 0.066928 0.128539 -0.189115 0.133558 -0.021053 \n", + "1 -0.638672 0.101288 -0.339846 0.167170 0.125895 -0.008983 0.014724 \n", + "2 0.771679 0.909412 -0.689281 -0.327642 -0.139097 -0.055353 -0.059752 \n", + "3 0.005274 -0.190321 -1.175575 0.647376 -0.221929 0.062723 0.061458 \n", + "4 0.798278 -0.137458 0.141267 -0.206010 0.502292 0.219422 0.215153 \n", + "5 -0.559825 -0.026398 -0.371427 -0.232794 0.105915 0.253844 0.081080 \n", + "6 -0.270710 -0.154104 -0.780055 0.750137 -0.257237 0.034507 0.005168 \n", + "7 -1.015455 0.057504 -0.649709 -0.415267 -0.051634 -1.206921 -1.085339 \n", + "8 -0.268092 -0.204233 1.011592 0.373205 -0.384157 0.011747 0.142404 \n", + "9 -0.633753 -0.120794 -0.385050 -0.069733 0.094199 0.246219 0.083076 \n", + "\n", + " Amount Class \n", + "0 149.62 0 \n", + "1 2.69 0 \n", + "2 378.66 0 \n", + "3 123.50 0 \n", + "4 69.99 0 \n", + "5 3.67 0 \n", + "6 4.99 0 \n", + "7 40.80 0 \n", + "8 93.20 0 \n", + "9 3.68 0 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from zipfile import ZipFile\n", + "\n", + "ZipFile(\"creditcardfraud.zip\").extractall(\".\")\n", + "\n", + "df = pd.read_csv(\"creditcard.csv\")\n", + "\n", + "df.head(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "9302f8fe", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 284807 entries, 0 to 284806\n", + "Data columns (total 31 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Time 284807 non-null float64\n", + " 1 V1 284807 non-null float64\n", + " 2 V2 284807 non-null float64\n", + " 3 V3 284807 non-null float64\n", + " 4 V4 284807 non-null float64\n", + " 5 V5 284807 non-null float64\n", + " 6 V6 284807 non-null float64\n", + " 7 V7 284807 non-null float64\n", + " 8 V8 284807 non-null float64\n", + " 9 V9 284807 non-null float64\n", + " 10 V10 284807 non-null float64\n", + " 11 V11 284807 non-null float64\n", + " 12 V12 284807 non-null float64\n", + " 13 V13 284807 non-null float64\n", + " 14 V14 284807 non-null float64\n", + " 15 V15 284807 non-null float64\n", + " 16 V16 284807 non-null float64\n", + " 17 V17 284807 non-null float64\n", + " 18 V18 284807 non-null float64\n", + " 19 V19 284807 non-null float64\n", + " 20 V20 284807 non-null float64\n", + " 21 V21 284807 non-null float64\n", + " 22 V22 284807 non-null float64\n", + " 23 V23 284807 non-null float64\n", + " 24 V24 284807 non-null float64\n", + " 25 V25 284807 non-null float64\n", + " 26 V26 284807 non-null float64\n", + " 27 V27 284807 non-null float64\n", + " 28 V28 284807 non-null float64\n", + " 29 Amount 284807 non-null float64\n", + " 30 Class 284807 non-null int64 \n", + "dtypes: float64(30), int64(1)\n", + "memory usage: 67.4 MB\n" + ] + } + ], + "source": [ + "df.info()" + ] + }, + { + "cell_type": "markdown", + "id": "4ba00248", + "metadata": {}, + "source": [ + "Создайте датафрейм X из датафрейма df, исключив столбец Class.\n", + "Создайте объект Series под названием y из столбца Class.\n", + "Разбейте X и y на тренировочный и тестовый наборы данных при помощи функции train_test_split,\n", + "используя аргументы: test_size=0.3, random_state=100, stratify=y.\n", + "У вас должны получиться объекты X_train, X_test, y_train и y_test.\n", + "Просмотрите информацию о их форме." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "59e1e34e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "выборка не сбалансированна, данных первого класса значительно меньше\n", + "0 0.998273\n", + "1 0.001727\n", + "Name: Class, dtype: float64\n" + ] + }, + { + "data": { + "text/plain": [ + "((199364, 30), (85443, 30), (199364,), (85443,))" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "target = \"Class\"\n", + "\n", + "y = df[target]\n", + "X = df.drop(target, axis=1)\n", + "\n", + "print(f\"выборка не сбалансированна, данных первого класса значительно меньше\\n{y.value_counts(normalize=True)}\")\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=100, stratify=y)\n", + "X_train.shape, X_test.shape, y_train.shape, y_test.shape" + ] + }, + { + "cell_type": "markdown", + "id": "fe7fae18", + "metadata": {}, + "source": [ + "Для поиска по сетке параметров задайте такие параметры:\n", + "parameters = [{'n_estimators': [10, 15],\n", + "'max_features': np.arange(3, 5),\n", + "'max_depth': np.arange(4, 7)}]\n", + "Создайте модель GridSearchCV со следующими аргументами:\n", + "estimator=RandomForestClassifier(random_state=100),\n", + "param_grid=parameters,\n", + "scoring='roc_auc',\n", + "cv=3." + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "c034c2a4", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "parameters = {\n", + " 'n_estimators': [10, 15],\n", + " 'max_features': np.arange(3, 5),\n", + " 'max_depth': np.arange(4, 7),\n", + "}\n", + "\n", + "clf = GridSearchCV(\n", + " estimator=RandomForestClassifier(random_state=100),\n", + " param_grid=parameters,\n", + " scoring='roc_auc',\n", + " cv=3,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "a4308ac3", + "metadata": {}, + "source": [ + "Обучите модель на тренировочном наборе данных (может занять несколько минут).\n", + "Просмотрите параметры лучшей модели с помощью атрибута best_params_.\n", + "Предскажите вероятности классов с помощью полученной модели и метода predict_proba.\n", + "Из полученного результата (массив Numpy) выберите столбец с индексом 1 (вероятность класса 1) и\n", + "запишите в массив y_pred_proba. Из модуля sklearn.metrics импортируйте метрику roc_auc_score.\n", + "Вычислите AUC на тестовых данных и сравните с результатом,полученным на тренировочных данных,\n", + "используя в качестве аргументов массивы y_test и y_pred_proba" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "9b43d0b7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GridSearchCV(cv=3, estimator=RandomForestClassifier(random_state=100),\n", + " param_grid={'max_depth': array([4, 5, 6]),\n", + " 'max_features': array([3, 4]),\n", + " 'n_estimators': [10, 15]},\n", + " scoring='roc_auc')" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "clf.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "966c3d4d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'max_depth': 6, 'max_features': 3, 'n_estimators': 15}" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "clf.best_params_" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "id": "405d63d0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "метрика AUC=0.9436 на тестовых данных меньше метрики AUC=0.9660 на обучающем наборе\n" + ] + } + ], + "source": [ + "from sklearn.metrics import roc_auc_score\n", + "\n", + "model = RandomForestClassifier(max_depth=6, max_features=3, n_estimators=15)\n", + "\n", + "model.fit(X_train, y_train)\n", + "\n", + "y_pred_proba = model.predict_proba(X_test)[:, 1]\n", + "\n", + "auc = roc_auc_score(y_test, y_pred_proba)\n", + "\n", + "print(f\"метрика AUC={auc:.4f} на тестовых данных {'больше' if auc > clf.best_score_ else 'меньше'} \"\n", + " f\"метрики AUC={clf.best_score_:.4f} на обучающем наборе\")" + ] + }, + { + "cell_type": "markdown", + "id": "5cb517be", + "metadata": {}, + "source": [ + "## *Дополнительные задания:\n", + "1). Загрузите датасет Wine из встроенных датасетов sklearn.datasets с помощью функции load_wine в\n", + "переменную data." + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "1dbcea26", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import load_wine\n", + "\n", + "wine = load_wine()\n", + "\n", + "data = wine[\"data\"]" + ] + }, + { + "cell_type": "markdown", + "id": "18dea80c", + "metadata": {}, + "source": [ + "2). Полученный датасет не является датафреймом. Это структура данных, имеющая ключи\n", + "аналогично словарю. Просмотрите тип данных этой структуры данных и создайте список data_keys,\n", + "содержащий ее ключи." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "d5f5e52a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['data', 'target', 'frame', 'target_names', 'DESCR', 'feature_names'])" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_keys = wine.keys()\n", + "data_keys" + ] + }, + { + "cell_type": "markdown", + "id": "73bff5cf", + "metadata": {}, + "source": [ + "3). Просмотрите данные, описание и названия признаков в датасете. Описание нужно вывести в виде\n", + "привычного, аккуратно оформленного текста, без обозначений переноса строки, но с самими\n", + "переносами и т.д." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "39433029", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ".. _wine_dataset:\n", + "\n", + "Wine recognition dataset\n", + "------------------------\n", + "\n", + "**Data Set Characteristics:**\n", + "\n", + " :Number of Instances: 178 (50 in each of three classes)\n", + " :Number of Attributes: 13 numeric, predictive attributes and the class\n", + " :Attribute Information:\n", + " \t\t- Alcohol\n", + " \t\t- Malic acid\n", + " \t\t- Ash\n", + "\t\t- Alcalinity of ash \n", + " \t\t- Magnesium\n", + "\t\t- Total phenols\n", + " \t\t- Flavanoids\n", + " \t\t- Nonflavanoid phenols\n", + " \t\t- Proanthocyanins\n", + "\t\t- Color intensity\n", + " \t\t- Hue\n", + " \t\t- OD280/OD315 of diluted wines\n", + " \t\t- Proline\n", + "\n", + " - class:\n", + " - class_0\n", + " - class_1\n", + " - class_2\n", + "\t\t\n", + " :Summary Statistics:\n", + " \n", + " ============================= ==== ===== ======= =====\n", + " Min Max Mean SD\n", + " ============================= ==== ===== ======= =====\n", + " Alcohol: 11.0 14.8 13.0 0.8\n", + " Malic Acid: 0.74 5.80 2.34 1.12\n", + " Ash: 1.36 3.23 2.36 0.27\n", + " Alcalinity of Ash: 10.6 30.0 19.5 3.3\n", + " Magnesium: 70.0 162.0 99.7 14.3\n", + " Total Phenols: 0.98 3.88 2.29 0.63\n", + " Flavanoids: 0.34 5.08 2.03 1.00\n", + " Nonflavanoid Phenols: 0.13 0.66 0.36 0.12\n", + " Proanthocyanins: 0.41 3.58 1.59 0.57\n", + " Colour Intensity: 1.3 13.0 5.1 2.3\n", + " Hue: 0.48 1.71 0.96 0.23\n", + " OD280/OD315 of diluted wines: 1.27 4.00 2.61 0.71\n", + " Proline: 278 1680 746 315\n", + " ============================= ==== ===== ======= =====\n", + "\n", + " :Missing Attribute Values: None\n", + " :Class Distribution: class_0 (59), class_1 (71), class_2 (48)\n", + " :Creator: R.A. Fisher\n", + " :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n", + " :Date: July, 1988\n", + "\n", + "This is a copy of UCI ML Wine recognition datasets.\n", + "https://archive.ics.uci.edu/ml/machine-learning-databases/wine/wine.data\n", + "\n", + "The data is the results of a chemical analysis of wines grown in the same\n", + "region in Italy by three different cultivators. There are thirteen different\n", + "measurements taken for different constituents found in the three types of\n", + "wine.\n", + "\n", + "Original Owners: \n", + "\n", + "Forina, M. et al, PARVUS - \n", + "An Extendible Package for Data Exploration, Classification and Correlation. \n", + "Institute of Pharmaceutical and Food Analysis and Technologies,\n", + "Via Brigata Salerno, 16147 Genoa, Italy.\n", + "\n", + "Citation:\n", + "\n", + "Lichman, M. (2013). UCI Machine Learning Repository\n", + "[https://archive.ics.uci.edu/ml]. Irvine, CA: University of California,\n", + "School of Information and Computer Science. \n", + "\n", + ".. topic:: References\n", + "\n", + " (1) S. Aeberhard, D. Coomans and O. de Vel, \n", + " Comparison of Classifiers in High Dimensional Settings, \n", + " Tech. Rep. no. 92-02, (1992), Dept. of Computer Science and Dept. of \n", + " Mathematics and Statistics, James Cook University of North Queensland. \n", + " (Also submitted to Technometrics). \n", + "\n", + " The data was used with many others for comparing various \n", + " classifiers. The classes are separable, though only RDA \n", + " has achieved 100% correct classification. \n", + " (RDA : 100%, QDA 99.4%, LDA 98.9%, 1NN 96.1% (z-transformed data)) \n", + " (All results using the leave-one-out technique) \n", + "\n", + " (2) S. Aeberhard, D. Coomans and O. de Vel, \n", + " \"THE CLASSIFICATION PERFORMANCE OF RDA\" \n", + " Tech. Rep. no. 92-01, (1992), Dept. of Computer Science and Dept. of \n", + " Mathematics and Statistics, James Cook University of North Queensland. \n", + " (Also submitted to Journal of Chemometrics).\n", + "\n" + ] + } + ], + "source": [ + "print(wine[\"DESCR\"])" + ] + }, + { + "cell_type": "markdown", + "id": "772359a0", + "metadata": {}, + "source": [ + "4). Сколько классов содержит целевая переменная датасета? Выведите названия классов." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "183b0c76", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['class_0' 'class_1' 'class_2']\n", + "кол-во:3\n" + ] + } + ], + "source": [ + "target_class = wine[\"target_names\"]\n", + "\n", + "print(f\"{target_class}\\nкол-во:{len(target_class)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "41d6690b", + "metadata": {}, + "source": [ + "5). На основе данных датасета (они содержатся в двумерном массиве Numpy) и названий признаков\n", + "создайте датафрейм под названием X." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "15557fbe", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n", + "0 14.23 1.71 2.43 15.6 127.0 2.80 \n", + "1 13.20 1.78 2.14 11.2 100.0 2.65 \n", + "2 13.16 2.36 2.67 18.6 101.0 2.80 \n", + "3 14.37 1.95 2.50 16.8 113.0 3.85 \n", + "4 13.24 2.59 2.87 21.0 118.0 2.80 \n", + "\n", + " flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n", + "0 3.06 0.28 2.29 5.64 1.04 \n", + "1 2.76 0.26 1.28 4.38 1.05 \n", + "2 3.24 0.30 2.81 5.68 1.03 \n", + "3 3.49 0.24 2.18 7.80 0.86 \n", + "4 2.69 0.39 1.82 4.32 1.04 \n", + "\n", + " od280/od315_of_diluted_wines proline \n", + "0 3.92 1065.0 \n", + "1 3.40 1050.0 \n", + "2 3.17 1185.0 \n", + "3 3.45 1480.0 \n", + "4 2.93 735.0 " + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "feature_names = wine[\"feature_names\"]\n", + "\n", + "X = pd.DataFrame(data, columns=feature_names)\n", + "\n", + "X.head()" + ] + }, + { + "cell_type": "markdown", + "id": "e9ef2d4b", + "metadata": {}, + "source": [ + "6). Выясните размер датафрейма X и установите, имеются ли в нем пропущенные значения." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "9f2ee54a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 178 entries, 0 to 177\n", + "Data columns (total 13 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 alcohol 178 non-null float64\n", + " 1 malic_acid 178 non-null float64\n", + " 2 ash 178 non-null float64\n", + " 3 alcalinity_of_ash 178 non-null float64\n", + " 4 magnesium 178 non-null float64\n", + " 5 total_phenols 178 non-null float64\n", + " 6 flavanoids 178 non-null float64\n", + " 7 nonflavanoid_phenols 178 non-null float64\n", + " 8 proanthocyanins 178 non-null float64\n", + " 9 color_intensity 178 non-null float64\n", + " 10 hue 178 non-null float64\n", + " 11 od280/od315_of_diluted_wines 178 non-null float64\n", + " 12 proline 178 non-null float64\n", + "dtypes: float64(13)\n", + "memory usage: 18.2 KB\n" + ] + } + ], + "source": [ + "X.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "90a743fa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "размер = (178, 13)\n", + "кол-во пустых значений\n", + "alcohol 0\n", + "malic_acid 0\n", + "ash 0\n", + "alcalinity_of_ash 0\n", + "magnesium 0\n", + "total_phenols 0\n", + "flavanoids 0\n", + "nonflavanoid_phenols 0\n", + "proanthocyanins 0\n", + "color_intensity 0\n", + "hue 0\n", + "od280/od315_of_diluted_wines 0\n", + "proline 0\n", + "dtype: int64\n" + ] + } + ], + "source": [ + "print(f\"размер = {X.shape}\\nкол-во пустых значений\\n{X.isnull().sum(axis=0)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "cf169b47", + "metadata": {}, + "source": [ + "7). Добавьте в датафрейм поле с классами вин в виде чисел, имеющих тип данных numpy.int64.\n", + "Название поля - 'target'." + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "3883dbe8", + "metadata": {}, + "outputs": [], + "source": [ + "X[\"target\"] = wine[\"target\"].astype(\"int64\")" + ] + }, + { + "cell_type": "markdown", + "id": "e5918c4e", + "metadata": {}, + "source": [ + "8). Постройте матрицу корреляций для всех полей X. Дайте полученному датафрейму название\n", + "X_corr" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "d4c9b5e1", + "metadata": {}, + "outputs": [], + "source": [ + "X_corr = X.corr()" + ] + }, + { + "cell_type": "markdown", + "id": "43fd36d4", + "metadata": {}, + "source": [ + "9). Создайте список high_corr из признаков, корреляция которых с полем target по абсолютному\n", + "значению превышает 0.5 (причем, само поле target не должно входить в этот список)." + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "a788a848", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['alcalinity_of_ash',\n", + " 'total_phenols',\n", + " 'flavanoids',\n", + " 'hue',\n", + " 'od280/od315_of_diluted_wines',\n", + " 'proline']" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "high_corr = [item for item in X_corr[abs(X_corr.target) > 0.5].index if item != \"target\"]\n", + "high_corr" + ] + }, + { + "cell_type": "markdown", + "id": "beab1b7d", + "metadata": {}, + "source": [ + "10). Удалите из датафрейма X поле с целевой переменной. Для всех признаков, названия которых\n", + "содержатся в списке high_corr, вычислите квадрат их значений и добавьте в датафрейм X\n", + "соответствующие поля с суффиксом '_2', добавленного к первоначальному названию признака.\n", + "Итоговый датафрейм должен содержать все поля, которые, были в нем изначально, а также поля с\n", + "признаками из списка high_corr, возведенными в квадрат. Выведите описание полей датафрейма X с\n", + "помощью метода describe." + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "426afeb5", + "metadata": {}, + "outputs": [], + "source": [ + "X.drop(\"target\", axis = 1, inplace = True) \n", + "\n", + "for item in high_corr:\n", + " X[item+\"_2\"] = X[item] ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "382274e0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " alcohol malic_acid ash alcalinity_of_ash magnesium \\\n", + "count 178.000000 178.000000 178.000000 178.000000 178.000000 \n", + "mean 13.000618 2.336348 2.366517 19.494944 99.741573 \n", + "std 0.811827 1.117146 0.274344 3.339564 14.282484 \n", + "min 11.030000 0.740000 1.360000 10.600000 70.000000 \n", + "25% 12.362500 1.602500 2.210000 17.200000 88.000000 \n", + "50% 13.050000 1.865000 2.360000 19.500000 98.000000 \n", + "75% 13.677500 3.082500 2.557500 21.500000 107.000000 \n", + "max 14.830000 5.800000 3.230000 30.000000 162.000000 \n", + "\n", + " total_phenols flavanoids nonflavanoid_phenols proanthocyanins \\\n", + "count 178.000000 178.000000 178.000000 178.000000 \n", + "mean 2.295112 2.029270 0.361854 1.590899 \n", + "std 0.625851 0.998859 0.124453 0.572359 \n", + "min 0.980000 0.340000 0.130000 0.410000 \n", + "25% 1.742500 1.205000 0.270000 1.250000 \n", + "50% 2.355000 2.135000 0.340000 1.555000 \n", + "75% 2.800000 2.875000 0.437500 1.950000 \n", + "max 3.880000 5.080000 0.660000 3.580000 \n", + "\n", + " color_intensity hue od280/od315_of_diluted_wines proline \\\n", + "count 178.000000 178.000000 178.000000 178.000000 \n", + "mean 5.058090 0.957449 2.611685 746.893258 \n", + "std 2.318286 0.228572 0.709990 314.907474 \n", + "min 1.280000 0.480000 1.270000 278.000000 \n", + "25% 3.220000 0.782500 1.937500 500.500000 \n", + "50% 4.690000 0.965000 2.780000 673.500000 \n", + "75% 6.200000 1.120000 3.170000 985.000000 \n", + "max 13.000000 1.710000 4.000000 1680.000000 \n", + "\n", + " alcalinity_of_ash_2 total_phenols_2 flavanoids_2 hue_2 \\\n", + "count 178.000000 178.000000 178.000000 178.000000 \n", + "mean 391.142865 5.657030 5.110049 0.968661 \n", + "std 133.671775 2.936294 4.211441 0.443798 \n", + "min 112.360000 0.960400 0.115600 0.230400 \n", + "25% 295.840000 3.036325 1.452100 0.612325 \n", + "50% 380.250000 5.546050 4.558250 0.931250 \n", + "75% 462.250000 7.840000 8.265700 1.254400 \n", + "max 900.000000 15.054400 25.806400 2.924100 \n", + "\n", + " od280/od315_of_diluted_wines_2 proline_2 \n", + "count 178.000000 1.780000e+02 \n", + "mean 7.322155 6.564591e+05 \n", + "std 3.584316 5.558591e+05 \n", + "min 1.612900 7.728400e+04 \n", + "25% 3.754075 2.505010e+05 \n", + "50% 7.728400 4.536045e+05 \n", + "75% 10.048900 9.702250e+05 \n", + "max 16.000000 2.822400e+06 " + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c1245b68", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 623c3e9b2431c8bc7443b5c2ca0912f43f1eda4b Mon Sep 17 00:00:00 2001 From: Foton Date: Mon, 10 Jun 2024 18:42:28 +0300 Subject: [PATCH 3/9] Release Home Work Machine Learning DLibraries Lesson6 --- Lesson4/Task2.ipynb | 6815 ------------------------------------------- 1 file changed, 6815 deletions(-) delete mode 100644 Lesson4/Task2.ipynb diff --git a/Lesson4/Task2.ipynb b/Lesson4/Task2.ipynb deleted file mode 100644 index ac6e6bf..0000000 --- a/Lesson4/Task2.ipynb +++ /dev/null @@ -1,6815 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "b27e41e4", - "metadata": {}, - "source": [ - "## Тема “Визуализация данных в Matplotlib”" - ] - }, - { - "cell_type": "markdown", - "id": "f324024b", - "metadata": {}, - "source": [ - "### Задание 1\n", - "Загрузите модуль pyplot библиотеки matplotlib с псевдонимом plt, а также библиотеку numpy с\n", - "псевдонимом np.\n", - "Примените магическую функцию %matplotlib inline для отображения графиков в Jupyter Notebook и\n", - "настройки конфигурации ноутбука со значением 'svg' для более четкого отображения графиков.\n", - "Создайте список под названием x с числами 1, 2, 3, 4, 5, 6, 7 и список y с числами 3.5, 3.8, 4.2, 4.5, 5,\n", - "5.5, 7.\n", - "С помощью функции plot постройте график, соединяющий линиями точки с горизонтальными\n", - "координатами из списка x и вертикальными - из списка y.\n", - "Затем в следующей ячейке постройте диаграмму рассеяния (другие названия - диаграмма разброса,\n", - "scatter plot)." - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "99e11a55", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "from random import seed\n", - "from matplotlib import pyplot as plt\n", - "\n", - "plt.style.use('fivethirtyeight')\n", - "\n", - "%matplotlib inline\n", - "%config InlineBackend.figure_format = 'svg'" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "bd0d7835", - "metadata": {}, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " 2024-06-04T11:17:30.715908\n", - " image/svg+xml\n", - " \n", - " \n", - " Matplotlib v3.9.0, https://matplotlib.org/\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.scatter(x, y)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "fbf3b995", - "metadata": {}, - "source": [ - "### Задание 2\n", - "С помощью функции linspace из библиотеки Numpy создайте массив t из 51 числа от 0 до 10\n", - "включительно.\n", - "© geekbrains.ru\n", - "Создайте массив Numpy под названием f, содержащий косинусы элементов массива t.\n", - "Постройте линейную диаграмму, используя массив t для координат по горизонтали,а массив f - для\n", - "координат по вертикали. Линия графика должна быть зеленого цвета.\n", - "Выведите название диаграммы - 'График f(t)'. Также добавьте названия для горизонтальной оси -\n", - "'Значения t' и для вертикальной - 'Значения f'.\n", - "Ограничьте график по оси x значениями 0.5 и 9.5, а по оси y - значениями -2.5 и 2.5." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "f19e1fe4", - "metadata": {}, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " 2024-06-03T11:42:36.735077\n", - " image/svg+xml\n", - " \n", - " \n", - " Matplotlib v3.9.0, https://matplotlib.org/\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n" - ], - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = np.linspace(0, 10, 51)\n", - "\n", - "f = np.cos(t)\n", - "\n", - "plt.plot(t, f, color=\"green\")\n", - "\n", - "plt.title(\"График f(t)\")\n", - "plt.xlabel(\"Значения t\")\n", - "plt.ylabel(\"Значения f\")\n", - "\n", - "plt.axis([0.5, 9.5, -2.5, 2.5])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "73611d04", - "metadata": {}, - "source": [ - "### Задание 3\n", - "С помощью функции linspace библиотеки Numpy создайте массив x из 51 числа от -3 до 3\n", - "включительно.\n", - "Создайте массивы y1, y2, y3, y4 по следующим формулам:\n", - "y1 = x**2\n", - "y2 = 2 * x + 0.5\n", - "y3 = -3 * x - 1.5\n", - "y4 = sin(x)\n", - "Используя функцию subplots модуля matplotlib.pyplot, создайте объект matplotlib.figure.Figure с\n", - "названием fig и массив объектов Axes под названием ax,причем так, чтобы у вас было 4 отдельных\n", - "графика в сетке, состоящей из двух строк и двух столбцов. В каждом графике массив x используется\n", - "для координат по горизонтали.В левом верхнем графике для координат по вертикали используйте\n", - "y1,в правом верхнем - y2, в левом нижнем - y3, в правом нижнем - y4.Дайте название графикам:\n", - "'График y1', 'График y2' и т.д.\n", - "Для графика в левом верхнем углу установите границы по оси x от -5 до 5.\n", - "Установите размеры фигуры 8 дюймов по горизонтали и 6 дюймов по вертикали.\n", - "Вертикальные и горизонтальные зазоры между графиками должны составлять 0.3" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "ea585c38", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'График y4')" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " 2024-06-03T11:42:37.042700\n", - " image/svg+xml\n", - " \n", - " \n", - " Matplotlib v3.9.0, https://matplotlib.org/\n", - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x = np.linspace(-3, 3, 51)\n", - "\n", - "y1 = x**2\n", - "y2 = 2*x + 0.5\n", - "y3 = -3*x - 1.5\n", - "y4 = np.sin(x)\n", - "\n", - "fig, ax = plt.subplots(nrows=2, ncols=2)\n", - "\n", - "fig.set_size_inches(8, 6)\n", - "fig.subplots_adjust(wspace=0.3, hspace=0.3)\n", - "\n", - "ax1, ax2, ax3, ax4 = ax.flatten()\n", - "\n", - "ax1.plot(x, y1)\n", - "ax1.set_title(\"График y1\")\n", - "ax1.set_xlim([-5, 5])\n", - "ax2.plot(x, y2)\n", - "ax2.set_title(\"График y2\")\n", - "ax3.plot(x, y3)\n", - "ax3.set_title(\"График y3\")\n", - "ax4.plot(x, y4)\n", - "ax4.set_title(\"График y4\")" - ] - }, - { - "cell_type": "markdown", - "id": "c77b9177", - "metadata": {}, - "source": [ - "### Задание 4\n", - "В этом задании мы будем работать с датасетом, в котором приведены данные по мошенничеству с\n", - "кредитными данными: Credit Card Fraud Detection (информация об авторах: Andrea Dal Pozzolo, Olivier\n", - "Caelen, Reid A. Johnson and Gianluca Bontempi. Calibrating Probability with Undersampling for Unbalanced\n", - "Classification. In Symposium on Computational Intelligence and Data Mining (CIDM), IEEE, 2015).\n", - "Ознакомьтесь с описанием и скачайте датасет creditcard.csv с сайта Kaggle.com по ссылке:\n", - "Credit Card Fraud Detection\n", - "Данный датасет является примером несбалансированных данных, так как мошеннические операции с\n", - "картами встречаются реже обычных.\n", - "Импортируйте библиотеку Pandas, а также используйте для графиков стиль “fivethirtyeight”.\n", - "© geekbrains.ru 1\n", - "Посчитайте с помощью метода value_counts количество наблюдений для каждого значения целевой\n", - "переменной Class и примените к полученным данным метод plot, чтобы построить столбчатую\n", - "диаграмму. Затем постройте такую же диаграмму, используя логарифмический масштаб.\n", - "На следующем графике постройте две гистограммы по значениям признака V1 - одну для\n", - "мошеннических транзакций (Class равен 1) и другую - для обычных (Class равен 0). Подберите\n", - "значение аргумента density так, чтобы по вертикали графика было расположено не число\n", - "наблюдений, а плотность распределения. Число бинов должно равняться 20 для обеих гистограмм, а\n", - "коэффициент alpha сделайте равным 0.5, чтобы гистограммы были полупрозрачными и не\n", - "загораживали друг друга. Создайте легенду с двумя значениями: “Class 0” и “Class 1”. Гистограмма\n", - "обычных транзакций должна быть серого цвета, а мошеннических - красного. Горизонтальной оси\n", - "дайте название “V1”." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "65f2dc4a-f788-4f45-b8d7-7bd6de270815", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Dataset URL: https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud\n", - "License(s): DbCL-1.0\n", - "Downloading creditcardfraud.zip to W:\\Projects\\GB\\Python\\MLearning\\DSLibraries\\Lesson4\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - " 0%| | 0.00/66.0M [00:00\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
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8 rows × 31 columns

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" - ], - "text/plain": [ - " Time V1 V2 V3 V4 \\\n", - "count 284807.000000 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 \n", - "mean 94813.859575 1.168375e-15 3.416908e-16 -1.379537e-15 2.074095e-15 \n", - "std 47488.145955 1.958696e+00 1.651309e+00 1.516255e+00 1.415869e+00 \n", - "min 0.000000 -5.640751e+01 -7.271573e+01 -4.832559e+01 -5.683171e+00 \n", - "25% 54201.500000 -9.203734e-01 -5.985499e-01 -8.903648e-01 -8.486401e-01 \n", - "50% 84692.000000 1.810880e-02 6.548556e-02 1.798463e-01 -1.984653e-02 \n", - "75% 139320.500000 1.315642e+00 8.037239e-01 1.027196e+00 7.433413e-01 \n", - "max 172792.000000 2.454930e+00 2.205773e+01 9.382558e+00 1.687534e+01 \n", - "\n", - " V5 V6 V7 V8 V9 \\\n", - "count 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 \n", - "mean 9.604066e-16 1.487313e-15 -5.556467e-16 1.213481e-16 -2.406331e-15 \n", - "std 1.380247e+00 1.332271e+00 1.237094e+00 1.194353e+00 1.098632e+00 \n", - "min -1.137433e+02 -2.616051e+01 -4.355724e+01 -7.321672e+01 -1.343407e+01 \n", - "25% -6.915971e-01 -7.682956e-01 -5.540759e-01 -2.086297e-01 -6.430976e-01 \n", - "50% -5.433583e-02 -2.741871e-01 4.010308e-02 2.235804e-02 -5.142873e-02 \n", - "75% 6.119264e-01 3.985649e-01 5.704361e-01 3.273459e-01 5.971390e-01 \n", - "max 3.480167e+01 7.330163e+01 1.205895e+02 2.000721e+01 1.559499e+01 \n", - "\n", - " ... V21 V22 V23 V24 \\\n", - "count ... 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 \n", - "mean ... 1.654067e-16 -3.568593e-16 2.578648e-16 4.473266e-15 \n", - "std ... 7.345240e-01 7.257016e-01 6.244603e-01 6.056471e-01 \n", - "min ... -3.483038e+01 -1.093314e+01 -4.480774e+01 -2.836627e+00 \n", - "25% ... -2.283949e-01 -5.423504e-01 -1.618463e-01 -3.545861e-01 \n", - "50% ... -2.945017e-02 6.781943e-03 -1.119293e-02 4.097606e-02 \n", - "75% ... 1.863772e-01 5.285536e-01 1.476421e-01 4.395266e-01 \n", - "max ... 2.720284e+01 1.050309e+01 2.252841e+01 4.584549e+00 \n", - "\n", - " V25 V26 V27 V28 Amount \\\n", - "count 2.848070e+05 2.848070e+05 2.848070e+05 2.848070e+05 284807.000000 \n", - "mean 5.340915e-16 1.683437e-15 -3.660091e-16 -1.227390e-16 88.349619 \n", - "std 5.212781e-01 4.822270e-01 4.036325e-01 3.300833e-01 250.120109 \n", - "min -1.029540e+01 -2.604551e+00 -2.256568e+01 -1.543008e+01 0.000000 \n", - "25% -3.171451e-01 -3.269839e-01 -7.083953e-02 -5.295979e-02 5.600000 \n", - "50% 1.659350e-02 -5.213911e-02 1.342146e-03 1.124383e-02 22.000000 \n", - "75% 3.507156e-01 2.409522e-01 9.104512e-02 7.827995e-02 77.165000 \n", - "max 7.519589e+00 3.517346e+00 3.161220e+01 3.384781e+01 25691.160000 \n", - "\n", - " Class \n", - "count 284807.000000 \n", - "mean 0.001727 \n", - "std 0.041527 \n", - "min 0.000000 \n", - "25% 0.000000 \n", - "50% 0.000000 \n", - "75% 0.000000 \n", - "max 1.000000 \n", - "\n", - "[8 rows x 31 columns]" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df.describe()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ab04cf33-e36b-4991-917b-e91a2dfa7fcd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "RangeIndex: 284807 entries, 0 to 284806\n", - "Data columns (total 31 columns):\n", - " # Column Non-Null Count Dtype \n", - "--- ------ -------------- ----- \n", - " 0 Time 284807 non-null float64\n", - " 1 V1 284807 non-null float64\n", - " 2 V2 284807 non-null float64\n", - " 3 V3 284807 non-null float64\n", - " 4 V4 284807 non-null float64\n", - " 5 V5 284807 non-null float64\n", - " 6 V6 284807 non-null float64\n", - " 7 V7 284807 non-null float64\n", - " 8 V8 284807 non-null float64\n", - " 9 V9 284807 non-null float64\n", - " 10 V10 284807 non-null float64\n", - " 11 V11 284807 non-null float64\n", - " 12 V12 284807 non-null float64\n", - " 13 V13 284807 non-null float64\n", - " 14 V14 284807 non-null float64\n", - " 15 V15 284807 non-null float64\n", - " 16 V16 284807 non-null float64\n", - " 17 V17 284807 non-null float64\n", - " 18 V18 284807 non-null float64\n", - " 19 V19 284807 non-null float64\n", - " 20 V20 284807 non-null float64\n", - " 21 V21 284807 non-null float64\n", - " 22 V22 284807 non-null float64\n", - " 23 V23 284807 non-null float64\n", - " 24 V24 284807 non-null float64\n", - " 25 V25 284807 non-null float64\n", - " 26 V26 284807 non-null float64\n", - " 27 V27 284807 non-null float64\n", - " 28 V28 284807 non-null float64\n", - " 29 Amount 284807 non-null float64\n", - " 30 Class 284807 non-null int64 \n", - "dtypes: float64(30), int64(1)\n", - "memory usage: 67.4 MB\n" - ] - } - ], - "source": [ - "df.info()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "6c31fc17", - "metadata": {}, - "outputs": [], - "source": [ - "class_counts = df.Class.value_counts()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "29b823c1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " 2024-06-03T12:53:10.650385\n", - " image/svg+xml\n", - " \n", - " \n", - " Matplotlib v3.9.0, https://matplotlib.org/\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots()\n", - "\n", - "V1_0 = df[df[\"Class\"]==0].V1\n", - "\n", - "ax.set_xlabel(\"V1\")\n", - "ax.axis([-30, 5, 0, 0.2])\n", - "\n", - "df[df[\"Class\"]==0].V1.hist(ax=ax, label = \"Class 0\", bins=20, alpha=0.5, color='gray', density=True)\n", - "df[df[\"Class\"]==1].V1.hist(ax=ax, label = \"Class 1\", bins=20, alpha=0.5, color='red', density=True)\n", - "\n", - "legend = fig.legend(loc=\"upper right\", frameon=False)" - ] - }, - { - "cell_type": "markdown", - "id": "af2c4346", - "metadata": {}, - "source": [ - "## Задание на повторение материала\n", - "### 1. Создать одномерный массив Numpy под названием a из 12 последовательных целых чисел чисел от 12 до 24 невключительно" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "id": "557a8256-9c01-4f25-a014-0d228c69024c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[12 13 14 15 16 17 18 19 20 21 22 23]\n" - ] - } - ], - "source": [ - "a = np.arange(12, 24, dtype=int)\n", - " \n", - "print(a)" - ] - }, - { - "cell_type": "markdown", - "id": "1c77f2b4-a4a1-4758-ab20-9c95b50a7228", - "metadata": {}, - "source": [ - "### 2. Создать 5 двумерных массивов разной формы из массива a. Не использовать в аргументах метода reshape число -1." - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "id": "c532a55c-a2e4-41b8-88fc-57202937c2df", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12],\n", - " [13],\n", - " [14],\n", - " [15],\n", - " [16],\n", - " [17],\n", - " [18],\n", - " [19],\n", - " [20],\n", - " [21],\n", - " [22],\n", - " [23]])" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (12, 1))" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "id": "fdd1014d-c6f5-48bc-b047-81038d8fd827", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14, 15, 16, 17],\n", - " [18, 19, 20, 21, 22, 23]])" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (2, 6))" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "id": "0ad59875-d3b2-4e5e-acfe-574669e8a068", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13],\n", - " [14, 15],\n", - " [16, 17],\n", - " [18, 19],\n", - " [20, 21],\n", - " [22, 23]])" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (6, 2))" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "id": "fc9a8aaa-d246-4876-a818-3bbb268a4a06", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14, 15],\n", - " [16, 17, 18, 19],\n", - " [20, 21, 22, 23]])" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (3, 4))" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "id": "f58c5c92-4e45-4b11-8ee9-03930d40213e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14],\n", - " [15, 16, 17],\n", - " [18, 19, 20],\n", - " [21, 22, 23]])" - ] - }, - "execution_count": 47, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (4, 3))" - ] - }, - { - "cell_type": "markdown", - "id": "dda06888-4535-4b11-a8ac-8366cb665662", - "metadata": {}, - "source": [ - "### 3. Создать 5 двумерных массивов разной формы из массива a. Использовать в аргументах метода reshape число -1 (в трех примерах - для обозначения числа столбцов, в двух - для строк)." - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "id": "5d2eceed-d468-43e2-a896-03db80347de7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14, 15, 16, 17],\n", - " [18, 19, 20, 21, 22, 23]])" - ] - }, - "execution_count": 51, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (2, -1))" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "id": "5d4e33c6-9991-48f1-92dc-fe039f1f1403", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14, 15],\n", - " [16, 17, 18, 19],\n", - " [20, 21, 22, 23]])" - ] - }, - "execution_count": 52, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (3, -1))" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "id": "7c5ee813-ab4a-44eb-af9b-0c6f086ff275", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14],\n", - " [15, 16, 17],\n", - " [18, 19, 20],\n", - " [21, 22, 23]])" - ] - }, - "execution_count": 58, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (4, -1))" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "id": "19305afe-f66e-439d-86fb-4f1a8e9289fd", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13],\n", - " [14, 15],\n", - " [16, 17],\n", - " [18, 19],\n", - " [20, 21],\n", - " [22, 23]])" - ] - }, - "execution_count": 54, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (-1, 2))" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "id": "021fef61-9517-4ed0-9a49-f0dd68416dff", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[12, 13, 14, 15, 16, 17],\n", - " [18, 19, 20, 21, 22, 23]])" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.reshape(a, (-1, 6))" - ] - }, - { - "cell_type": "markdown", - "id": "aae22acf-9657-4492-b4d8-d6707dd79d6e", - "metadata": {}, - "source": [ - "### 4. Можно ли массив Numpy, состоящий из одного столбца и 12 строк, назвать одномерным?" - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "id": "a039beed-b1fb-428a-995b-f4788b8ba5c2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "shape=(12, 1)=>размерность=2, следоватьельно одномерным может быть только вектор\n" - ] - } - ], - "source": [ - "b = np.resize(a, (12, 1))\n", - "\n", - "print(f\"shape={b.shape}=>размерность={b.ndim}, следоватьельно одномерным может быть только вектор\")" - ] - }, - { - "cell_type": "markdown", - "id": "65303edd-4937-4b7e-85f0-82412f9e320b", - "metadata": {}, - "source": [ - "### 5. Создать массив из 3 строк и 4 столбцов, состоящий из случайных чисел с плавающей запятой из нормального распределения со средним, равным 0 и среднеквадратичным отклонением, равным 1.0. Получить из этого массива одномерный массив с таким же атрибутом size, как и исходный массив." - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "id": "6f9c7bba-d9b2-4e26-8630-8322e6d1f329", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 5.30087681e-01 -1.00730270e+00 3.49023257e-01 1.17610515e-01]\n", - " [-3.73873348e-05 -4.65003983e-01 1.17452549e+00 3.80377532e-02]\n", - " [-4.71755245e-02 3.99082256e-01 -1.15223721e-01 -2.65055731e+00]]\n", - "[[ 5.30087681e-01 -1.00730270e+00 3.49023257e-01 1.17610515e-01\n", - " -3.73873348e-05 -4.65003983e-01 1.17452549e+00 3.80377532e-02\n", - " -4.71755245e-02 3.99082256e-01 -1.15223721e-01 -2.65055731e+00]]\n", - "a.size = 12 <=> 12 = b.size\n" - ] - } - ], - "source": [ - "a = np.random.randn(3, 4)\n", - "b = a.reshape(1, 12)\n", - "print(a)\n", - "print(b)\n", - "print(f\"a.size = {a.size} <=> {b.size} = b.size\")" - ] - }, - { - "cell_type": "markdown", - "id": "6b177aff-4007-4af0-a927-82cb03183362", - "metadata": {}, - "source": [ - "### 6. Создать массив a, состоящий из целых чисел, убывающих от 20 до 0 невключительно с интервалом 2." - ] - }, - { - "cell_type": "code", - "execution_count": 85, - "id": "a78dbbed-cbf3-4536-8e0a-f19586aa9218", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[20 18 16 14 12 10 8 6 4 2]\n" - ] - } - ], - "source": [ - "a = np.arange(20, 0, -2, dtype=int)\n", - "\n", - "print(a)" - ] - }, - { - "cell_type": "markdown", - "id": "3edb8cc8-ca5a-414f-9928-0c3be3fae6a1", - "metadata": {}, - "source": [ - "### 7. Создать массив b, состоящий из 1 строки и 10 столбцов: целых чисел, убывающих от 20 до 1 невключительно с интервалом 2. В чем разница между массивами a и b?" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "id": "de8d49ea-a843-46ff-ab8f-f2b967cebeb2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[20 18 16 14 12 10 8 6 4 2] = [20 18 16 14 12 10 8 6 4 2] => разницы нет\n" - ] - } - ], - "source": [ - "b = np.arange(20, 1, -2, dtype=int)\n", - "\n", - "print(f\"{a} = {b} => разницы нет\")" - ] - }, - { - "cell_type": "markdown", - "id": "48add411-602f-46b7-9cb5-98388a6d742c", - "metadata": {}, - "source": [ - "### 8. Вертикально соединить массивы a и b. a - двумерный массив из нулей, число строк которого больше 1 и на 1 меньше, чем число строк двумерного массива b, состоящего из единиц. Итоговый массив v должен иметь атрибут size, равный 10." - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "id": "e64df321-366c-4400-a406-b775e19a6870", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[0. 0.]\n", - " [0. 0.]\n", - " [1. 1.]\n", - " [1. 1.]\n", - " [1. 1.]] \n", - " size=10\n" - ] - } - ], - "source": [ - "a = np.zeros((2, 2))\n", - "b = np.ones((3,2))\n", - "c = np.vstack((a, b))\n", - "print(f\"{c} \\n size={c.size}\")" - ] - }, - { - "cell_type": "markdown", - "id": "85da760f-5076-4e9a-acb4-4e756ac72407", - "metadata": {}, - "source": [ - "### 9. Создать одномерный массив а, состоящий из последовательности целых чисел от 0 до 12. Поменять форму этого массива, чтобы получилась матрица A (двумерный массив Numpy), состоящая из 4 строк и 3 столбцов. Получить матрицу At путем транспонирования атрицы A. Получить матрицу B, умножив матрицу A на матрицу At с помощью матричного умножения. Какой размер имеет матрица B? Получится ли вычислить обратную матрицу для матрицы B и почему?" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "bc97b82a-eaec-4f6c-b9c8-4159dc45c44f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "матрица B =\n", - "[[ 5 14 23 32]\n", - " [ 14 50 86 122]\n", - " [ 23 86 149 212]\n", - " [ 32 122 212 302]]\n", - "размер = (4, 4)\n", - "определитель = 0 => обратная матрица не существует\n" - ] - } - ], - "source": [ - "a = np.arange(0, 12, dtype=int)\n", - "A = np.reshape(a, (4, -1))\n", - "At = A.T\n", - "B = np.dot(A, At)\n", - "print(f\"матрица B =\\n{B}\\nразмер = {B.shape}\\nопределитель = {np.linalg.det(B):1.0f} => обратная матрица не существует\")" - ] - }, - { - "cell_type": "markdown", - "id": "957e860b-9d20-46cf-91b0-2662c2faeebb", - "metadata": {}, - "source": [ - "### 10. Инициализируйте генератор случайных числе с помощью объекта seed, равного 42." - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "97c0fa11-6530-461b-bb89-65cb6d38b83f", - "metadata": {}, - "outputs": [], - "source": [ - "seed(42)" - ] - }, - { - "cell_type": "markdown", - "id": "7d7b04ea-a205-4a64-bf93-f68c62b69b5f", - "metadata": {}, - "source": [ - "### 11. Создайте одномерный массив c, составленный из последовательности 16-ти случайных равномерно распределенных целых чисел от 0 до 16 невключительно." - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "id": "b307b5d5-e3aa-44b8-94f3-2a9b8877fd5b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16]\n" - ] - } - ], - "source": [ - "c = np.linspace(start=0, stop=16, num=16, dtype=int)\n", - "print(c)" - ] - }, - { - "cell_type": "markdown", - "id": "3107f89b-c513-4eeb-b21f-d091920b51b3", - "metadata": {}, - "source": [ - "### 12. Поменяйте его форму так, чтобы получилась квадратная матрица C. Получите матрицу D, поэлементно прибавив матрицу B из предыдущего вопроса к матрице C, умноженной на 10. Вычислите определитель, ранг и обратную матрицу D_inv для D." - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "id": "721efedc-bcdd-4aa0-b7bf-58469b31fbf2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "C =\n", - "[[ 0 1 2 3]\n", - " [ 4 5 6 7]\n", - " [ 8 9 10 11]\n", - " [12 13 14 16]]\n", - "D =\n", - "[[ 5 24 43 62]\n", - " [ 54 100 146 192]\n", - " [103 176 249 322]\n", - " [152 252 352 462]]\n", - "определитель = 2.2623680706601445e-10\n", - "ранг = 3\n", - "D_inv =\n", - "[[-3.51843721e+13 7.03687442e+13 -3.51843721e+13 -3.12500000e-03]\n", - " [ 7.03687442e+13 -1.40737488e+14 7.03687442e+13 1.06250000e-01]\n", - " [-3.51843721e+13 7.03687442e+13 -3.51843721e+13 -2.03125000e-01]\n", - " [ 2.00000000e-01 -3.00000000e-01 -0.00000000e+00 1.00000000e-01]]\n" - ] - } - ], - "source": [ - "C = np.reshape(c, (4, -1))\n", - "print(f\"C =\\n{C}\")\n", - "D = B + C * 10\n", - "D_inv = np.linalg.inv(D)\n", - "print(f\"D =\\n{D}\\nопределитель = {np.linalg.det(D)}\\nранг = {np.linalg.matrix_rank(D)}\\nD_inv =\\n{D_inv}\")" - ] - }, - { - "cell_type": "markdown", - "id": "05de35ef-439f-4273-8902-9fbf5d1dd878", - "metadata": {}, - "source": [ - "### 13. Приравняйте к нулю отрицательные числа в матрице D_inv, а положительные - к единице. Убедитесь, что в матрице D_inv остались только нули и единицы. С помощью функции numpy.where, используя матрицу D_inv в качестве маски, а матрицы B и C - в качестве источников данных, получите матрицу E размером 4x4. Элементы матрицы E, для которых соответствующий элемент матрицы D_inv равен 1, должны быть равны соответствующему элементу матрицы B, а элементы матрицы E, для которых соответствующий элемент матрицы D_inv равен 0, должны быть равны соответствующему элементу матрицы C." - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "id": "ae14bda8-3197-4ce6-8ed7-9227f40ee440", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "D_inv =\n", - "[[ 0. 1. 0. 0.]\n", - " [ 1. 0. 1. 1.]\n", - " [ 0. 1. 0. 0.]\n", - " [ 1. 0. -0. 1.]]\n", - "E =\n", - "[[ 0. 14. 2. 3.]\n", - " [ 14. 5. 86. 122.]\n", - " [ 8. 86. 10. 11.]\n", - " [ 32. 13. 14. 302.]]\n" - ] - } - ], - "source": [ - "D_inv[np.where(D_inv < 0)] = 0\n", - "D_inv[np.where(D_inv > 0)] = 1\n", - "print(f\"D_inv =\\n{D_inv}\")\n", - "\n", - "E = np.zeros((4, 4))\n", - "E[np.where(D_inv == 0)] = C[np.where(D_inv == 0)]\n", - "E[np.where(D_inv == 1)] = B[np.where(D_inv == 1)]\n", - "print(f\"E =\\n{E}\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e8ecf6a0-078c-4d26-9aa0-8d84514df3e7", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.12.3" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From 5de9f5da05635067cd0303e6efeadadf529b8397 Mon Sep 17 00:00:00 2001 From: Foton Date: Mon, 17 Jun 2024 11:04:59 +0300 Subject: [PATCH 4/9] Add Home Work Machine Learning DSLibraries Lesson8 --- Lesson8/Task1.ipynb | 14532 ++++++++++++++++++++++++++++++++++++++++++ Lesson8/X_train.pkl | Bin 0 -> 37231 bytes Lesson8/X_valid.pkl | Bin 0 -> 13197 bytes Lesson8/y_train.pkl | Bin 0 -> 16662 bytes Lesson8/y_valid.pkl | Bin 0 -> 5978 bytes 5 files changed, 14532 insertions(+) create mode 100644 Lesson8/Task1.ipynb create mode 100644 Lesson8/X_train.pkl create mode 100644 Lesson8/X_valid.pkl create mode 100644 Lesson8/y_train.pkl create mode 100644 Lesson8/y_valid.pkl diff --git a/Lesson8/Task1.ipynb b/Lesson8/Task1.ipynb new file mode 100644 index 0000000..1d4b25f --- /dev/null +++ b/Lesson8/Task1.ipynb @@ -0,0 +1,14532 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "p62jUuP4ONfJ" + }, + "source": [ + "# Обучение без учителя в Scikit-learn\n", + "\n", + "Ранее мы познакомились с понятием обучения с учителем. В тех задачах у нас имелись какие-то данные, а также набор правильных ответов на этих данных. Тогда нашей задачей было научиться предсказывать аналогичный ответ на данных, которые мы раньше не видели.\n", + "\n", + "В отличие от обучения с учителем, в задачах обучения без учителя эти правильные ответы отсутствуют. В таком случае нам уже не нужно предсказывать какую-то величину, а лишь понять, как связаны между собой объекты из нашей выборки.\n", + "\n", + "## Кластеризация\n", + "\n", + "Одним из самых часто применяемых методов обучения без учителя является _кластеризация_. Задача кластеризации - разбить объекты из выборки на определённое число групп (или _кластеров_) так, чтобы \"похожие\" объекты попали в один кластер. \n", + "\n", + "Здесь мы познакомимся с одним из наиболее известных алгоритмов кластеризации - _k-means_ или _k средних_." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "id": "F9QU6VLLONfK" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "\n", + "model = KMeans(n_clusters=3, random_state=100)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PQGSMZIzONfL" + }, + "source": [ + "Данная модель принимает на вход параметр `n_clusters`, т.е. число кластеров, на которые мы хотели бы разбить наши данные.\n", + "\n", + "На начальной итерации алгоритм произвольным образом выбирает центры кластеров - _центроиды_ (столько, сколько мы задали в параметре `n_clusters`). Затем повторяется следующий процесс:\n", + "\n", + "1. Отнести каждый объект из выборки к тому кластеру, чей центр ближе всего к этому объекту.\n", + "2. Переставить центроид каждого кластера в центр этого кластера (с учётом новых объектов).\n", + "\n", + "Этот процесс повторяется до тех пор, пока координаты центров не перестанут изменяться.\n", + "\n", + "Разберёмся с этим алгоритмом на практике. Для этого воспользуемся готовой функцией для создания датасета." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "id": "QuNQtlOkONfL" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use('fivethirtyeight')\n", + "\n", + "%config InlineBackend.figure_format = 'svg'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "id": "kl5adWr8ONfM" + }, + "outputs": [], + "source": [ + "def make_data(n, seed):\n", + " np.random.seed(seed)\n", + " \n", + " shift_matrix = np.array([[3, 3], \n", + " [6, 9], \n", + " [9, 3]])\n", + " \n", + " data = np.random.randn(3, 2, n) + shift_matrix.reshape((3, 2, 1))\n", + " data = np.swapaxes(data, 1, 2)\n", + " data = data.reshape((-1, 2))\n", + " data *= np.array([[20, 0.5]])\n", + " \n", + " df = pd.DataFrame({'x': data[:, 0], 'y': data[:, 1]},\n", + " columns=['x', 'y'])\n", + " df = df.sample(frac=1.0)\n", + "\n", + " return df" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TGt-kZLZONfM" + }, + "source": [ + "Эта функция принимает на вход параметры `n` (число объектов в каждой группе объектов) и `seed` (зерно, необходимое для воспроизводимости случайных значений). В результате получается `DataFrame`, содержащий заданное число объектов в каждой группе (всего 3 группы) с двумя признаками: `'x'` и `'y'`.\n", + "\n", + "Получим с помощью этой функции два набора данных. " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "id": "tgYYt6P6ONfM" + }, + "outputs": [], + "source": [ + "train = make_data(10, 42)\n", + "test = make_data(10, 27)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yzBhMHMyONfM" + }, + "source": [ + "Чтобы придать данным больший предметный смысл, представим, что полученные нами данные - это данные о разных видах рыб, обитающих в водоёме. Мы бы хотели разбить представителей рыб из этого водоёма на 3 кластера.\n", + "\n", + "Посмотрим, как расположены наши объекты в пространстве. Поскольку у каждого объекта всего два признака, мы можем представить каждый объект как точку на плоскости:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "id": "HWopWVdpONfN", + "outputId": "d5ea8794-5b56-44ce-eaed-0ed49ac221ff" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:16.640340\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(train['x'], train['y'])\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Train data')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Us_CA4aGONfN" + }, + "source": [ + "Прежде чем приступить к кластеризации, отмасштабируем наши данные с помощью уже знакомого нам `MinMaxScaler`:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "id": "fqLX3t5VONfO", + "outputId": "01cace59-8dbd-44bb-f918-8538bb02abe3" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:18.574222\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.preprocessing import MinMaxScaler\n", + "\n", + "scaler = MinMaxScaler()\n", + "\n", + "train_scaled = pd.DataFrame(scaler.fit_transform(train), columns=['x', 'y'])\n", + "\n", + "plt.scatter(train_scaled['x'], train_scaled['y'])\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Train data (scaled)')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IiRCWIdRONfP" + }, + "source": [ + "Итак, перейдём к кластеризации. С помощью метода `.fit_predict` можно обучить модель, а затем сразу же получить метки кластеров на входных данных:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "id": "dT1-Q0zfONfP", + "outputId": "13cb9d1e-a492-4891-e0e0-623476ebace5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2 2 1 1 1 2 0 2 0 1 1 0 0 0 0 0 2 0 2 2 1 0 1 1 2 2 2 0 1 1]\n" + ] + } + ], + "source": [ + "train_labels = model.fit_predict(train_scaled)\n", + "\n", + "print(train_labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jFf3PWYQONfQ" + }, + "source": [ + "С помощью атрибута `.cluster_centers_` можно получить получившиеся в результате работы алгоритма центры кластеров. Чтобы изобразить эти центры на плоскости, воспользуемся методом `scaler.inverse_transform`, который преобразует отмасштабированные значения обратно в сырые. Центры на графике пометим красными ромбами. Кроме того, покрасим объекты из разных кластеров в разные цвета для наглядности." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "id": "ye5MuAmNONfR", + "outputId": "a52d5c35-3166-48b1-da20-0338d7096b35" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Train data')" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:19.105253\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "centers = scaler.inverse_transform(model.cluster_centers_)\n", + "\n", + "plt.scatter(train['x'], train['y'], c=train_labels)\n", + "plt.scatter(centers[:, 0], centers[:, 1], marker='D', color='red')\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Train data')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nixbi0rrONfR" + }, + "source": [ + "Основная проблема алгоритма k-means в том, что нам нужно заранее знать количество кластеров. Однако, в реальности это не всегда бывает возможно. Количество кластеров можно оценить, используя величину _inertia_. Эта величина равна сумме квадратов расстояний от объектов до центров их кластеров. Чем лучше кластеризация, тем меньше эта величина. Кроме того, она уменьшается с увеличением числа кластеров (она равна 0, если кластеров столько же, сколько объектов), поэтому нужно соблюдать баланс между количеством кластеров, которое нам подходит, и величиной inertia, чтобы число кластеров было разумным." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "id": "T9R4O20-ONfS", + "outputId": "533762d4-b755-45c7-f21d-c6fa2d1c6bc9" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5417377477488049" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.inertia_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "iAE5IZlAONfS" + }, + "source": [ + "Посчитаем эту величину на наших данных при различном количестве кластеров." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "id": "sK44YXDaONfT", + "outputId": "6bbf6bf8-d9e3-4571-c975-7b9cdd48fe9c" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:19.958900\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "inertias = []\n", + "\n", + "for i in range(2, 10):\n", + " temp_model = KMeans(n_clusters=i, random_state=100)\n", + " temp_model.fit(train_scaled)\n", + " \n", + " temp_inertia = temp_model.inertia_\n", + " \n", + " inertias.append(temp_inertia)\n", + "\n", + "plt.plot(range(2, 10), inertias)\n", + "\n", + "plt.title('Inertia')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EwTUeKFuONfT" + }, + "source": [ + "Мы видим сильное снижение inertia при переходе от 2 к 3 кластерам, а дальше идёт более плавное уменьшение. Это означает, что 3 - адекватное число кластеров. Такой подход называется _методом локтя_.\n", + "\n", + "Теперь перейдём к тестовым данным. Нормализуем их, а затем попробуем отнести их к одному из получившихся кластеров." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "id": "sKoyxTnwONfT", + "outputId": "bde7d2c5-4082-4891-a85d-dfedbdcb9c27" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:20.352721\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test_scaled = pd.DataFrame(scaler.transform(test), columns=['x', 'y'])\n", + "\n", + "test_labels = model.predict(test_scaled)\n", + "\n", + "plt.scatter(test['x'], test['y'], c=test_labels)\n", + "plt.scatter(centers[:, 0], centers[:, 1], marker='D', color='red')\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Test data')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "id": "NJVFjt4ZONfV" + }, + "source": [ + "Как мы видим, каждый объект из тестовых данных вполне оправданно был отнесён к соответствующему кластеру.\n", + "\n", + "### Агломеративная кластеризация\n", + "\n", + "Перейдём к _иерархической кластеризации_, которая в свою очередь состоит из _агломеративной_ и _дивизивной_ кластеризации.\n", + "\n", + "Алгоритмы _агломеративной_ кластеризации основаны на объединении мелких кластеров в более крупные. На начальной итерации каждый объект считается отдельным кластером, затем происходит их последовательное объединение. Напротив, _дивизивная_ кластеризация - это обратный процесс: сначала вся выборка считается одним большим кластером, затем происходит последовательное разбиение кластеров на части." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "id": "TUmgJi7fONfV", + "outputId": "30dd5e5e-bfdb-418f-daec-f4fab42eb264" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Train data')" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:21.291171\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", 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+ " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.cluster import AgglomerativeClustering\n", + "\n", + "model = AgglomerativeClustering(n_clusters=3)\n", + "\n", + "train_labels = model.fit_predict(train_scaled)\n", + "\n", + "plt.scatter(train['x'], train['y'], c=train_labels)\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Train data')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jMAmKN6iONfV" + }, + "source": [ + "Отметим, что у модели `AgglomerativeClustering` нет метода `.predict`. Поэтому чтобы предсказать разбиение на кластеры для тестовых данных, воспользуемся уже известным нам алгоритмом KNN. Будем использовать полученные только что метки классов `train_labels` для того, чтобы превратить нашу задачу в задачу обучения с учителем." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "id": "H0c_RQj9ONfV", + "outputId": "416c09ec-c5cc-428e-8793-ddc59daa7f46" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Test data')" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:21.743197\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "\n", + "knn = KNeighborsClassifier(n_neighbors=5)\n", + "knn.fit(train_scaled, train_labels)\n", + "\n", + "test_labels = knn.predict(test_scaled)\n", + "\n", + "plt.scatter(test['x'], test['y'], c=test_labels)\n", + "\n", + "plt.xlabel('Длина тела')\n", + "plt.ylabel('Длина чешуи')\n", + "\n", + "plt.title('Test data')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "N4LH5gnYONfW" + }, + "source": [ + "## Понижение размерности данных\n", + "\n", + "Предположим, перед нами стоит задача обучения с учителем, и в наших данных очень много признаков (сотни, тысячи или даже больше). На таком количестве признаков модель построить практически невозможно: нам просто не хватит вычислительной мощности.\n", + "\n", + "В таких случаях можно пользоваться методами понижения размерности. Такие методы позволяют \"сжать\" данные, уменьшая число признаков в них, при этом сделать это так, чтобы потеря информации была минимальной.\n", + "\n", + "Один из таких методов - _Метод главных компонент_ (_Principal component analysis_ или _PCA_). Для нахождения главных компонент нужно вычислить ковариационную матрицу, затем для этой матрицы найти собственные векторы и собственные значения. (Также есть способ нахождения главных компонент с помощью сингулярного разложения.)\n", + "\n", + "Перед применением данного метода важно не забыть привести все данные к схожему масштабу. Это можно сделать, например, с помощью стандартизации или нормализации.\n", + "\n", + "Создадим небольшой набор данных чтобы на нём познакомиться с методом главных компонент. Это будет набор данных с двумя признаками:\n", + "\n", + "1. количество комнат в доме\n", + "2. площадь дома" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "id": "x-so-YwLONfX" + }, + "outputs": [], + "source": [ + "houses = np.array([[5, 1.6],\n", + " [4, 1.4],\n", + " [6, 1.9],\n", + " [3, 1.1],\n", + " [4, 1.25]])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lFRdxR4CONfX" + }, + "source": [ + "Изобразим эти данные на плоскости:" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "id": "Xn2yKcAOONfX", + "outputId": "cf2d0c00-b70d-4b6d-c9e5-4ba6e1439756" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:22.162617\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(houses[:, 0], houses[:, 1])\n", + "\n", + "plt.xlabel('Количество комнат')\n", + "plt.ylabel('Площадь дома')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rdAXNce_ONfY" + }, + "source": [ + "Из графика видно, что два признака сильно коррелируют: их можно расположить практически на одной прямой. Это означает, что наши данные можно сжать с двух до одного измерения (представить данные одной _главной компонентой_) с минимальной потерей информации.\n", + "\n", + "Разберём подробнее алгоритм метода главных компонент. Вначале нужно центрировать наши данные, т.е. преобразовать их так, чтобы среднее значение каждого признака было равно 0. Для этого вычтем из матрицы признаков средние значения по каждому признаку:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "id": "_WS2-179ONfY", + "outputId": "47cdb0ec-9425-4f39-b28c-989e80df9445" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.6 0.15]\n", + " [-0.4 -0.05]\n", + " [ 1.6 0.45]\n", + " [-1.4 -0.35]\n", + " [-0.4 -0.2 ]]\n" + ] + } + ], + "source": [ + "houses_centered = houses - houses.mean(axis=0)\n", + "\n", + "print(houses_centered)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bLVkFydKONfZ" + }, + "source": [ + "Теперь посчитаем _матрицу ковариаций_. Это матрица, состоящая из попарных ковариаций признаков. Это своего рода многомерный аналог дисперсии. Матрицу ковариаций можно посчитать с помощью функции `np.cov`:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "id": "CW9aCI6pONfZ" + }, + "outputs": [], + "source": [ + "covariance_matrix = np.cov(houses_centered.T)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LMhpa5BXONfZ" + }, + "source": [ + "Отметим, что данная функция (как и многие функции из линейной алгебры) принимает на вход матрицу, у которой векторы расположены в столбцах (а не в строках, как мы привыкли). Поэтому внутрь этой функции мы подаём транспонированную матрицу `houses_centered.T`." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "id": "5amTYC9MONfZ", + "outputId": "2ec21bbe-dd17-4715-ebc7-9cb0f0b8e32d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1.3 0.35 ]\n", + " [0.35 0.0975]]\n" + ] + } + ], + "source": [ + "print(covariance_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "z6FgsGbgONfb" + }, + "source": [ + "У нас получилась матрица размера $2 \\times 2$, поскольку число признаков равно 2. На главной диагонали этой матрицы стоят дисперсии соответствующих признаков. Например, посчитаем дисперсию первого признака вручную:" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "id": "MCBrhV3mONfb", + "outputId": "28fe8039-91c0-45f8-e1f5-93e7f6c09b60" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.3" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.var(houses_centered[:, 0], ddof=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "e48ZA6k8ONfc" + }, + "source": [ + "Здесь мы подали параметр `ddof=1`, чтобы посчитать несмещённую дисперсию.\n", + "\n", + "Теперь найдём _собственные значения_ (_eigenvalues_) и _собственные векторы_ (_eigenvectors_) данной матрицы. Это можно сделать с помощью функции `np.linalg.eig`:" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "id": "T4fq3-_FONfc", + "outputId": "7ae7dea9-6479-4b55-9419-35bef3bebd47" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "eigenvalues:\n", + "[1.39445221 0.00304779]\n", + "\n", + "eigenvectors:\n", + "[[ 0.96546225 -0.26054298]\n", + " [ 0.26054298 0.96546225]]\n" + ] + } + ], + "source": [ + "eigenvalues, eigenvectors = np.linalg.eig(covariance_matrix)\n", + "\n", + "print('eigenvalues:\\n{}\\n'.format(eigenvalues))\n", + "print('eigenvectors:\\n{}'.format(eigenvectors))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pi5eL-7iONfd" + }, + "source": [ + "Метод главных компонент заключается в том, что если мы хотим сжать число признаков с $n$ признаков до $k$ признаков, то нам выгоднее всего взять $k$ наибольших собственных значений матрицы ковариаций. Этим $k$ наибольшим значениям соответствуют $k$ собственных векторов (обратите внимание, что векторы здесь также записаны в столбцах). Чтобы получить \"сжатые\" данные, остаётся лишь умножить нашу матрицу объект-признак на эти $k$ векторов-столбцов.\n", + "\n", + "В нашем случае мы хотим получить данные с 1 признаком, поэтому возьмём только первое собственное значение (оно сильно больше, чем второе). Ему соответствует вектор `eigenvectors[:, 0]`. Умножим нашу матрицу с центрированными данными на этот вектор." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "id": "9t4tzi2kONfd", + "outputId": "33f8256e-f675-4897-dd45-ad62a6150cab" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.6183588 -0.39921205 1.66198394 -1.44283719 -0.4382935 ]\n" + ] + } + ], + "source": [ + "result = houses_centered.dot(eigenvectors[:, 0])\n", + "\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CGSoh7d1ONfe" + }, + "source": [ + "Наконец, расположим эти значения в столбце, чтобы получить матрицу объект-признак:" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "id": "l_z8xHB_ONfe", + "outputId": "8fa90444-f50a-40aa-b3cd-b2a229cc39f5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.6183588 ]\n", + " [-0.39921205]\n", + " [ 1.66198394]\n", + " [-1.44283719]\n", + " [-0.4382935 ]]\n" + ] + } + ], + "source": [ + "result = result.reshape(-1, 1)\n", + "\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-u4LfNuwONfe" + }, + "source": [ + "Всю проделанную нами работу можно выполнить и автоматически с помощью библиотеки `sklearn`:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "id": "CokcTYCLONff", + "outputId": "fcf8090a-a7ae-43f5-838a-a8c78bc6a39d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.6183588 ]\n", + " [-0.39921205]\n", + " [ 1.66198394]\n", + " [-1.44283719]\n", + " [-0.4382935 ]]\n" + ] + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components=1)\n", + "\n", + "result_ = pca.fit_transform(houses)\n", + "\n", + "print(result_)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U-P88G1xONfg" + }, + "source": [ + "Кроме того, использование модели из `sklearn` позволяет нам также посмотреть, какую долю объяснённой дисперсии содержит данная главная компонента:" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "id": "NK00XkCuONfg", + "outputId": "0b4311b2-5b9f-4df0-9dce-e76533edd66a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.99781911])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca.explained_variance_ratio_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7U_GAERXONfh" + }, + "source": [ + "Мы видим, что это значение близко к 1. Это означает, что мы потеряли менее 1 процента информации. В общем случае, потеря информации до 10 процентов считается не очень большой.\n", + "\n", + "### Применение PCA в моделях машинного обучения\n", + "\n", + "Попробуем применить метод главных компонент в модели классификации. Загрузим данные по пассажирам Титаника, сохранённые ранее:" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "id": "UAFj0SGhONfh" + }, + "outputs": [], + "source": [ + "X_train = pd.read_pickle('X_train.pkl')\n", + "y_train = pd.read_pickle('y_train.pkl')\n", + "\n", + "X_valid = pd.read_pickle('X_valid.pkl')\n", + "y_valid = pd.read_pickle('y_valid.pkl')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_IBQNbByONfi" + }, + "source": [ + "Будем масштабировать данные с помощью стандартизации. Подадим стандартизатору параметр `with_mean=False` чтобы не проводить центрирование." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "id": "yPxQL0KZONfi" + }, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "scaler = StandardScaler(with_mean=False)\n", + "\n", + "X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n", + "X_valid_scaled = pd.DataFrame(scaler.transform(X_valid), columns=X_valid.columns)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nDv3Dp5sONfi" + }, + "source": [ + "Запустим теперь метод главных компонент. Здесь мы не будем указывать число главных компонент, по умолчанию модель `PCA` посчитает все. Посчитаем главные компоненты и посмотрим на долю объяснённой дисперсии каждой компоненты." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "id": "kLiY0IS0ONfj", + "outputId": "c46dac8d-dbab-4ff2-a12c-78e8faca5ba7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.22480052e-01 1.80579178e-01 1.61196472e-01 1.18874068e-01\n", + " 9.43088132e-02 7.61203186e-02 6.30288483e-02 4.72728880e-02\n", + " 3.61393615e-02 1.18513288e-31 4.46814462e-32]\n" + ] + } + ], + "source": [ + "pca = PCA(random_state=100)\n", + "\n", + "pca.fit(X_train_scaled)\n", + "\n", + "print(pca.explained_variance_ratio_)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QFGS_s5dONfj" + }, + "source": [ + "Посчитаем сумму первых 7 значений:" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "id": "qc4gtCGKONfk", + "outputId": "e819cc92-b51c-487b-e60a-39855b61a320" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9165877504406762" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca.explained_variance_ratio_[:7].sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DzYuNz66ONfk" + }, + "source": [ + "Выходит, если мы оставим 7 главных компонент с самой большой объяснённой дисперсией, то мы сохраним почти 92 процента информации.\n", + "\n", + "Ещё раз создадим модель `PCA`, на этот раз указав число компонент, и получим тренировочные и валидационные данные пониженной размерности:" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "2XZovIpzONfk" + }, + "outputs": [], + "source": [ + "pca = PCA(n_components=7, random_state=100)\n", + "\n", + "X_train_mc = pca.fit_transform(X_train_scaled)\n", + "X_valid_mc = pca.transform(X_valid_scaled)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_aYhDZ8PONfk" + }, + "source": [ + "Теперь обучим на этих данных модель логистической регрессии." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "id": "4Tjl-rbqONfl", + "outputId": "a1041428-4cdd-4305-ef1a-0c9c99a41272" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.8026905829596412\n" + ] + } + ], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.metrics import accuracy_score\n", + "\n", + "lr = LogisticRegression()\n", + "\n", + "lr.fit(X_train_mc, y_train)\n", + "\n", + "y_pred = lr.predict(X_valid_mc)\n", + "\n", + "print(accuracy_score(y_valid, y_pred))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7uBf7K66ONfl" + }, + "source": [ + "Мы получили вполне приемлемую точность модели несмотря на то, что сильно снизили размерность данных.\n", + "\n", + "## Алгоритм t-SNE\n", + "\n", + "Алгоритм _t-SNE_ (_t-distributed Stochastic Neighbor Embedding_ или _Стохастическое вложение соседей с t-распределением_) позволяет понижать размерность данных до двух или трёх измерений, что позволяет визуализировать данные на двумерных и трёхмерных графиках. Изучая графики, можно, например, понять, на сколько кластеров адекватно разбивать данные, а также оценить уже выполненное разбиение на кластеры.\n", + "\n", + "Разберёмся в работе этого алгоритма с помощью датасета Boston из библиотеки `sklearn`." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "id": "Lc8MbY5FONfm", + "outputId": "52f3427a-5eda-4f60-92ae-a3932be304fb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 506 entries, 0 to 505\n", + "Data columns (total 13 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 CRIM 506 non-null float64\n", + " 1 ZN 506 non-null float64\n", + " 2 INDUS 506 non-null float64\n", + " 3 CHAS 506 non-null float64\n", + " 4 NOX 506 non-null float64\n", + " 5 RM 506 non-null float64\n", + " 6 AGE 506 non-null float64\n", + " 7 DIS 506 non-null float64\n", + " 8 RAD 506 non-null float64\n", + " 9 TAX 506 non-null float64\n", + " 10 PTRATIO 506 non-null float64\n", + " 11 B 506 non-null float64\n", + " 12 LSTAT 506 non-null float64\n", + "dtypes: float64(13)\n", + "memory usage: 51.5 KB\n" + ] + } + ], + "source": [ + "from sklearn.manifold import TSNE\n", + "from sklearn.datasets import load_boston\n", + "\n", + "boston = load_boston()\n", + "\n", + "X = pd.DataFrame(boston.data, columns=boston.feature_names)\n", + "y = boston.target\n", + "\n", + "X.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4MSfnfZEONfm" + }, + "source": [ + "Видно, что данные представляют из себя 13 столбцов с дробными значениями, пропусков нет.\n", + "\n", + "Разобьём данные на тренировочный и тестовый датасеты." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "id": "fvOnLpaXONfn" + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ekFpA-C4ONfo" + }, + "source": [ + "Нам важно чтобы все признаки имели схожиый масштаб, поэтому отмасштабируем их с помощью стандартизации." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "id": "45CjnVG_ONfo" + }, + "outputs": [], + "source": [ + "scaler = StandardScaler()\n", + "\n", + "X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n", + "X_test_scaled = pd.DataFrame(scaler.transform(X_test), columns=X_test.columns)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "J1d-5qwqONfo" + }, + "source": [ + "Итак, перейдём к использованию t-SNE. Зададим параметр `n_components=2`, чтобы получить данные с двумя признаками. Параметр `learning_rate` влияет на то, как плотно будут располагаться точки. Рекомендуется задавать его в диапазоне от 10 до 1000." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "id": "HWt-_P61ONfo", + "outputId": "faac3c81-85b0-44df-9427-9494e76e33a6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "До:\t(354, 13)\n", + "После:\t(354, 2)\n" + ] + } + ], + "source": [ + "tsne = TSNE(n_components=2, learning_rate=150, random_state=100)\n", + "\n", + "X_train_tsne = tsne.fit_transform(X_train_scaled)\n", + "\n", + "print('До:\\t{}'.format(X_train_scaled.shape))\n", + "print('После:\\t{}'.format(X_train_tsne.shape))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gEthQ47_ONfo" + }, + "source": [ + "Мы видим, что число признаков уменьшилось с 13 до 2. Теперь можно визуализировать наши данные на плоскости." + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "id": "RIGICrkHONfo", + "outputId": "671f4770-6c3f-4f12-b61c-50e7025bfe20" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:27.752609\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "441G3ut8ONfq" + }, + "source": [ + "По графику видно, что данные можно разбить как минимум на 2 кластера. Попробуем сделать это с помощью уже известного нам метода K-means и ещё раз построим график, но уже с полученными метками кластеров." + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "id": "6-qmw9S9ONfq", + "outputId": "8d7762ec-a613-4bd2-963c-83009118c099" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:28.176633\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "kmeans = KMeans(n_clusters=2)\n", + "\n", + "labels_train = kmeans.fit_predict(X_train_scaled)\n", + "\n", + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1], c=labels_train)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xkT2rdg0ONfr" + }, + "source": [ + "Как мы видим, при кластеризации мы получили практически такое же разбиение, как то, которое можно было наблюдать в результате t-SNE.\n", + "\n", + "Для тестовой выборки получить аналогичный график нам не удастся, поскольку у алгоритма t-SNE нет метода `.transform`. Однако, с помощью алгоритма K-means мы можем получить метки кластеров для тестовой выборки с помощью метода `.predict` и использовать их:" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "id": "m8VhvtYyONfr" + }, + "outputs": [], + "source": [ + "labels_test = kmeans.predict(X_test_scaled)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OghL70IVONfs" + }, + "source": [ + "Давайте посмотрим на объекты из разных кластеров, чтобы попытаться понять, почему алгоритм t-SNE выделил две группы. Например, посмотрим на среднюю цену недвижимости во всей выборке и в отдельных кластерах." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "id": "x9EpamzgONfs", + "outputId": "dac65932-87f6-4432-d139-b1c786c9d654" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "22.595762711864406" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "id": "xZ5dj4BWONft", + "outputId": "cea24006-86c9-47ae-caa7-1280353339de" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "25.94439655172414" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train[labels_train == 0].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "id": "etaysaejONfu", + "outputId": "46f3d586-e105-40fd-ade2-d812ddf132fc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "16.227868852459018" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train[labels_train == 1].mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-tmr-7bkONfv" + }, + "source": [ + "Видно, что в первый кластер попала более дорогая недвижимость, а во второй - менее дорогая. Построим также гистограммы распределения цены по каждому кластеру." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "id": "pCYGhXyhONfv", + "outputId": "80ef9aba-5b50-4b32-d6bc-9e25743ddf68" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:28.875272\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(y_train[labels_train == 0], bins=20, density=True, alpha=0.5)\n", + "plt.hist(y_train[labels_train == 1], bins=20, density=True, alpha=0.5)\n", + "\n", + "plt.legend(['Кластер 0', 'Кластер 1'])\n", + "plt.xlabel('Цена')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "03W5vyzuONfw" + }, + "source": [ + "Гистограмма также отражает замеченную закономерность. Заметим, что мы не использовали цену на недвижимость ни при использовании t-SNE, ни при использовании K-means.\n", + "\n", + "Посмотрим теперь на распределение отдельных признаков внутри кластеров. Например, `'RM'` - количество комнат." + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "id": "JhCy_DGZONfw", + "outputId": "4f8096da-67a2-4b23-8f06-b9110a8364bf" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Кластер 0: 6.44851724137931\n", + "Кластер 1: 5.9092868852459\n" + ] + } + ], + "source": [ + "print('Кластер 0: {}'.format(X_train.loc[labels_train == 0, 'RM'].mean()))\n", + "print('Кластер 1: {}'.format(X_train.loc[labels_train == 1, 'RM'].mean()))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AYDgLchIONfx" + }, + "source": [ + "Значения не сильно отличаются. Не похоже, что этот признак внёс какой-то вклад в разбиение. Рассмотрим другой признак - `'CRIM'`. Он отражает криминальность места, в котором расположена недвижимость (количество преступлений на душу населения)." + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "id": "dNQFF-IPONfx", + "outputId": "02456040-2ad5-40d1-e219-244a521c3184" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Кластер 0: 0.2679815948275862\n", + "Кластер 1: 9.056794180327868\n" + ] + } + ], + "source": [ + "print('Кластер 0: {}'.format(X_train.loc[labels_train == 0, 'CRIM'].mean()))\n", + "print('Кластер 1: {}'.format(X_train.loc[labels_train == 1, 'CRIM'].mean()))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3SJQzpbdONfz" + }, + "source": [ + "Видно, что данное значение сильно выше для второго кластера. Рассмотрим гистограммы распределений значений этого признака по кластерам." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "id": "wmWbZwM8ONfz", + "outputId": "f1a82310-f208-4e10-fc96-09b62b4f31cd" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:29.523701\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(X_train.loc[labels_train == 0, 'CRIM'], bins=20, density=True, alpha=0.5)\n", + "plt.hist(X_train.loc[labels_train == 1, 'CRIM'], bins=20, density=True, alpha=0.5)\n", + "\n", + "plt.xlim(0, 12)\n", + "plt.legend(['Кластер 0', 'Кластер 1'])\n", + "plt.xlabel('CRIM')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hraxR5EPONf0" + }, + "source": [ + "В кластере 0 максимальная плотность этого признака расположена возле 0. Для кластера 1 значения этого признака более разнообразны.\n", + "\n", + "Ещё один интересный признак - концентрация оксида азота в воздухе (`'NOX'`). Построим гистограммы распределения этого признака." + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "id": "AwqHj23mONf0", + "outputId": "85dc51b8-f4be-46e6-f130-9ecc51c5cde7" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-16T23:08:30.143534\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", 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+ "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(X_train.loc[labels_train == 0, 'NOX'], bins=20, density=True, alpha=0.5)\n", + "plt.hist(X_train.loc[labels_train == 1, 'NOX'], bins=20, density=True, alpha=0.5)\n", + "\n", + "plt.xlim(0, 1.2)\n", + "plt.legend(['Кластер 0', 'Кластер 1'])\n", + "plt.xlabel('NOX')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "43x9OkfZONf1" + }, + "source": [ + "Вновь кластер 1 в этом плане отличается в худшую сторону. \n", + "\n", + "Итак, как нам теперь использовать полученную информацию? Мы можем, например, попробовать построить отдельную модель для каждого кластера. Сначала построим модель на всех данных. Для оценки качества модели будем использовать `r2_score`." + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "id": "Uk1ZpwAoONf2", + "outputId": "cf50c541-f953-451f-8f43-d11ae2cdf699" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6508417720329545" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import r2_score\n", + "\n", + "lr = LinearRegression()\n", + "\n", + "lr.fit(X_train_scaled, y_train)\n", + "\n", + "y_test_pred = lr.predict(X_test_scaled)\n", + "\n", + "r2_score(y_test, y_test_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Un0-x2AsONf2" + }, + "source": [ + "Итак, мы получили базовое значение. Построим теперь разные модели для объектов разных кластеров и посмотрим, какое качество мы сможем получить на них.\n", + "\n", + "Модель для кластера 0:" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "id": "DpdalsvnONf3", + "outputId": "3e8ba6e5-e49d-4402-dbc0-581928f9e343" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8316034335298439" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lr.fit(X_train_scaled.loc[labels_train == 0], y_train[labels_train == 0])\n", + "\n", + "y_test_pred_0 = lr.predict(X_test_scaled.loc[labels_test == 0])\n", + "\n", + "r2_score(y_test[labels_test == 0], y_test_pred_0)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9EoHivRXONf4" + }, + "source": [ + "Модель для кластера 1:" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "id": "ciSWsRHRONf4", + "outputId": "3bfb16b4-d4d7-4f23-fba3-2da03b2db0cb" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6458127429551195" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lr.fit(X_train_scaled.loc[labels_train == 1], y_train[labels_train == 1])\n", + "\n", + "y_test_pred_1 = lr.predict(X_test_scaled.loc[labels_test == 1])\n", + "\n", + "r2_score(y_test[labels_test == 1], y_test_pred_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "tdE4IHVGONf5" + }, + "source": [ + "Для кластера 0 мы получили большее значение `r2_score`, однако, сравнивать эти модели пока рано, потому что данное значение получено не на всех данных. Соберём теперь данные по кусочкам и проверим значение `r2_score`." + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "id": "CuIGQqf_ONf5", + "outputId": "b433067c-4efc-4c48-c6b7-7cc5491d437a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8055877528812476" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_test_all = np.hstack([y_test[labels_test == 0], y_test[labels_test == 1]])\n", + "y_test_pred_all = np.hstack([y_test_pred_0, y_test_pred_1])\n", + "\n", + "r2_score(y_test_all, y_test_pred_all)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gdXJ4kAHONf6" + }, + "source": [ + "Итак, теперь можно утверждать, что мы получили значительно более высокий показатель `r2_score`, применив информацию, полученную с помощью t-SNE и K-means." + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [ + "NJVFjt4ZONfV", + "N4LH5gnYONfW", + "7U_GAERXONfh", + "7uBf7K66ONfl" + ], + "name": "5. Обучение без учителя в Scikit-learn.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Lesson8/X_train.pkl b/Lesson8/X_train.pkl new file mode 100644 index 0000000000000000000000000000000000000000..491452ab58709ae189dc64f20d9515f0d8bf59ba GIT binary patch literal 37231 zcmd5_3A|NRz21z1h(Ll$4EHi4!)2a_ySWSs7mz7SK`)ofg#*F`@1UY$#}pJhrO44V zeMMPjrB>pArNz&(vdru?I5dd$G>0UoQcJD1*Z=$0KKl>r?Q=n2@ANp|`Tqa!KdiOa zT6>@K>UXoPuU)+}u&-Q~&DC|Qs~gH{Hr3abt*NixSewtapH%B z^J^Q*R#i8caz|Iy)t*;1x6as1K&C^k4L{q$t4%ZcT(`QWjhnYfn;V-pG_I?zudm)> z>Q&X()@-V4XsmClX*A)vHddI=9c6}PCA;#K!M6O&7OV1?=a=LMSGK6^uq~hImTR-R 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датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test) с помощью\n", - "функции train_test_split так, чтобы размер тестовой выборки\n", - "составлял 30% от всех данных, при этом аргумент random state должен быть равен 42.\n", - "Создайте модель линейной регрессии под названием lr с помощью класса LinearRegression из модуля\n", - "sklearn.linear_model.\n", - "Обучите модель на тренировочных данных (используйте все признаки) и сделайте предсказание на\n", - "тестовых." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "274303e6", - "metadata": {}, - "outputs": [], - "source": [ - "import warnings\n", - "\n", - "warnings.filterwarnings('ignore')" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "693a9c36", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "\n", - "pd.options.display.max_columns = 100\n", - "\n", - "from sklearn.datasets import load_boston" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a37f783d", - "metadata": {}, - "outputs": [], - "source": [ - "boston = load_boston()\n", - "\n", - "feature_names = boston[\"feature_names\"]\n", - "\n", - "X = pd.DataFrame(boston[\"data\"], columns=feature_names)\n", - "y = pd.DataFrame(boston[\"target\"], columns=[\"price\"])" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "5a2e0780", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((354, 13), (152, 13))" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from sklearn.model_selection import train_test_split\n", - "\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n", - "\n", - "X_train.shape, X_test.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "96164976", - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.linear_model import LinearRegression\n", - "\n", - "lr = LinearRegression()\n", - "\n", - "lr.fit(X_train, y_train)\n", - "\n", - "lr_pred = lr.predict(X_test)" - ] - }, - { - "cell_type": "markdown", - "id": "a07cffa5", - "metadata": {}, - "source": [ - "### Задание 2\n", - "Создайте модель под названием model с помощью класса RandomForestRegressor из модуля\n", - "sklearn.ensemble.\n", - "Сделайте агрумент n_estimators равным 1000,\n", - "max_depth должен быть равен 12 и random_state сделайте равным 42.\n", - "Обучите модель на тренировочных данных аналогично тому, как вы обучали модель LinearRegression,\n", - "но при этом в метод fit вместо датафрейма y_train поставьте y_train.values[:, 0],\n", - "чтобы получить из датафрейма одномерный массив Numpy,\n", - "так как для класса RandomForestRegressor в данном методе для аргумента y предпочтительно\n", - "применение массивов вместо датафрейма.\n", - "Сделайте предсказание на тестовых данных и посчитайте R2. Сравните с результатом из\n", - "предыдущего задания.\n", - "Напишите в комментариях к коду, какая модель в данном случае работает лучше" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "64042e74", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "оценка R2 модели ансамбля случайного леса выше чем у линейной регрессии\n", - "RandomForestRegressor=0.8747\n", - "LinearRegression=0.7112\n" - ] - } - ], - "source": [ - "from sklearn.ensemble import RandomForestRegressor\n", - "from sklearn.metrics import r2_score\n", - "\n", - "model = RandomForestRegressor(max_depth=12, n_estimators=1000, random_state=42)\n", - "\n", - "model.fit(X_train, y_train.values[:,0])\n", - "\n", - "rf_pred = model.predict(X_test)\n", - "\n", - "r2_lr = r2_score(y_test, lr_pred)\n", - "r2_rf = r2_score(y_test, rf_pred)\n", - "\n", - "print(f\"оценка R2 модели ансамбля случайного леса {'выше' if r2_rf > r2_lr else 'ниже' } \" \n", - " f\"чем у линейной регрессии\\nRandomForestRegressor={r2_rf:.4f}\\nLinearRegression={r2_lr:.4f}\")" - ] - }, - { - "cell_type": "markdown", - "id": "94b0548e", - "metadata": {}, - "source": [ - "### *Задание 3\n", - "Вызовите документацию для класса RandomForestRegressor,\n", - "найдите информацию об атрибуте feature_importances_.\n", - "С помощью этого атрибута найдите сумму всех показателей важности,\n", - "установите, какие два признака показывают наибольшую важность." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "1327004d", - "metadata": {}, - "outputs": [], - "source": [ - "?RandomForestRegressor" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "c8e1fab0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "сумма показателей важности признаков модели = 1.0\n" - ] - } - ], - "source": [ - "print(f\"сумма показателей важности признаков модели = {np.sum(model.feature_importances_)}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "744deb30", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "первые два наиболее важные признака\n" - ] - }, - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " feature importance\n", - "12 LSTAT 0.415847\n", - "5 RM 0.402682" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "print(\"первые два наиболее важные признака\")\n", - "pd.DataFrame({'feature': feature_names,'importance': model.feature_importances_}) \\\n", - ".sort_values('importance',ascending = False) \\\n", - ".head(2)" - ] - }, - { - "cell_type": "markdown", - "id": "b9004884", - "metadata": {}, - "source": [ - "## *Задание 4\n", - "В этом задании мы будем работать с датасетом, с которым мы уже знакомы по домашнему заданию\n", - "по библиотеке Matplotlib, это датасет Credit Card Fraud Detection.Для этого датасета мы будем решать\n", - "задачу классификации - будем определять,какие из транзакции по кредитной карте являются\n", - "мошенническими.Данный датасет сильно несбалансирован (так как случаи мошенничества\n", - "относительно редки),так что применение метрики accuracy не принесет пользы и не поможет выбрать\n", - "лучшую модель.Мы будем вычислять AUC, то есть площадь под кривой ROC.\n", - "Импортируйте из соответствующих модулей RandomForestClassifier, GridSearchCV и train_test_split.\n", - "Загрузите датасет creditcard.csv и создайте датафрейм df." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "a65b98a0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Dataset URL: https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud\n", - "License(s): DbCL-1.0\n", - "Downloading creditcardfraud.zip to W:\\Projects\\GB\\Python\\MLearning\\DSLibraries\\Lesson6\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - " 0%| | 0.00/66.0M [00:00\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - 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TimeV1V2V3V4V5V6V7V8V9V10V11V12V13V14V15V16V17V18V19V20V21V22V23V24V25V26V27V28AmountClass
00.0-1.359807-0.0727812.5363471.378155-0.3383210.4623880.2395990.0986980.3637870.090794-0.551600-0.617801-0.991390-0.3111691.468177-0.4704010.2079710.0257910.4039930.251412-0.0183070.277838-0.1104740.0669280.128539-0.1891150.133558-0.021053149.620
10.01.1918570.2661510.1664800.4481540.060018-0.082361-0.0788030.085102-0.255425-0.1669741.6127271.0652350.489095-0.1437720.6355580.463917-0.114805-0.183361-0.145783-0.069083-0.225775-0.6386720.101288-0.3398460.1671700.125895-0.0089830.0147242.690
21.0-1.358354-1.3401631.7732090.379780-0.5031981.8004990.7914610.247676-1.5146540.2076430.6245010.0660840.717293-0.1659462.345865-2.8900831.109969-0.121359-2.2618570.5249800.2479980.7716790.909412-0.689281-0.327642-0.139097-0.055353-0.059752378.660
31.0-0.966272-0.1852261.792993-0.863291-0.0103091.2472030.2376090.377436-1.387024-0.054952-0.2264870.1782280.507757-0.287924-0.631418-1.059647-0.6840931.965775-1.232622-0.208038-0.1083000.005274-0.190321-1.1755750.647376-0.2219290.0627230.061458123.500
42.0-1.1582330.8777371.5487180.403034-0.4071930.0959210.592941-0.2705330.8177390.753074-0.8228430.5381961.345852-1.1196700.175121-0.451449-0.237033-0.0381950.8034870.408542-0.0094310.798278-0.1374580.141267-0.2060100.5022920.2194220.21515369.990
52.0-0.4259660.9605231.141109-0.1682520.420987-0.0297280.4762010.260314-0.568671-0.3714071.3412620.359894-0.358091-0.1371340.5176170.401726-0.0581330.068653-0.0331940.084968-0.208254-0.559825-0.026398-0.371427-0.2327940.1059150.2538440.0810803.670
64.01.2296580.1410040.0453711.2026130.1918810.272708-0.0051590.0812130.464960-0.099254-1.416907-0.153826-0.7510630.1673720.050144-0.4435870.002821-0.611987-0.045575-0.219633-0.167716-0.270710-0.154104-0.7800550.750137-0.2572370.0345070.0051684.990
77.0-0.6442691.4179641.074380-0.4921990.9489340.4281181.120631-3.8078640.6153751.249376-0.6194680.2914741.757964-1.3238650.686133-0.076127-1.222127-0.3582220.324505-0.1567421.943465-1.0154550.057504-0.649709-0.415267-0.051634-1.206921-1.08533940.800
87.0-0.8942860.286157-0.113192-0.2715262.6695993.7218180.3701450.851084-0.392048-0.410430-0.705117-0.110452-0.2862540.074355-0.328783-0.210077-0.4997680.1187650.5703280.052736-0.073425-0.268092-0.2042331.0115920.373205-0.3841570.0117470.14240493.200
99.0-0.3382621.1195931.044367-0.2221870.499361-0.2467610.6515830.069539-0.736727-0.3668461.0176140.8363901.006844-0.4435230.1502190.739453-0.5409800.4766770.4517730.203711-0.246914-0.633753-0.120794-0.385050-0.0697330.0941990.2462190.0830763.680
\n", - "" - ], - "text/plain": [ - " Time V1 V2 V3 V4 V5 V6 V7 \\\n", - "0 0.0 -1.359807 -0.072781 2.536347 1.378155 -0.338321 0.462388 0.239599 \n", - "1 0.0 1.191857 0.266151 0.166480 0.448154 0.060018 -0.082361 -0.078803 \n", - "2 1.0 -1.358354 -1.340163 1.773209 0.379780 -0.503198 1.800499 0.791461 \n", - "3 1.0 -0.966272 -0.185226 1.792993 -0.863291 -0.010309 1.247203 0.237609 \n", - "4 2.0 -1.158233 0.877737 1.548718 0.403034 -0.407193 0.095921 0.592941 \n", - "5 2.0 -0.425966 0.960523 1.141109 -0.168252 0.420987 -0.029728 0.476201 \n", - "6 4.0 1.229658 0.141004 0.045371 1.202613 0.191881 0.272708 -0.005159 \n", - "7 7.0 -0.644269 1.417964 1.074380 -0.492199 0.948934 0.428118 1.120631 \n", - "8 7.0 -0.894286 0.286157 -0.113192 -0.271526 2.669599 3.721818 0.370145 \n", - "9 9.0 -0.338262 1.119593 1.044367 -0.222187 0.499361 -0.246761 0.651583 \n", - "\n", - " V8 V9 V10 V11 V12 V13 V14 \\\n", - "0 0.098698 0.363787 0.090794 -0.551600 -0.617801 -0.991390 -0.311169 \n", - "1 0.085102 -0.255425 -0.166974 1.612727 1.065235 0.489095 -0.143772 \n", - "2 0.247676 -1.514654 0.207643 0.624501 0.066084 0.717293 -0.165946 \n", - "3 0.377436 -1.387024 -0.054952 -0.226487 0.178228 0.507757 -0.287924 \n", - "4 -0.270533 0.817739 0.753074 -0.822843 0.538196 1.345852 -1.119670 \n", - "5 0.260314 -0.568671 -0.371407 1.341262 0.359894 -0.358091 -0.137134 \n", - "6 0.081213 0.464960 -0.099254 -1.416907 -0.153826 -0.751063 0.167372 \n", - "7 -3.807864 0.615375 1.249376 -0.619468 0.291474 1.757964 -1.323865 \n", - "8 0.851084 -0.392048 -0.410430 -0.705117 -0.110452 -0.286254 0.074355 \n", - "9 0.069539 -0.736727 -0.366846 1.017614 0.836390 1.006844 -0.443523 \n", - "\n", - " V15 V16 V17 V18 V19 V20 V21 \\\n", - "0 1.468177 -0.470401 0.207971 0.025791 0.403993 0.251412 -0.018307 \n", - "1 0.635558 0.463917 -0.114805 -0.183361 -0.145783 -0.069083 -0.225775 \n", - "2 2.345865 -2.890083 1.109969 -0.121359 -2.261857 0.524980 0.247998 \n", - "3 -0.631418 -1.059647 -0.684093 1.965775 -1.232622 -0.208038 -0.108300 \n", - "4 0.175121 -0.451449 -0.237033 -0.038195 0.803487 0.408542 -0.009431 \n", - "5 0.517617 0.401726 -0.058133 0.068653 -0.033194 0.084968 -0.208254 \n", - "6 0.050144 -0.443587 0.002821 -0.611987 -0.045575 -0.219633 -0.167716 \n", - "7 0.686133 -0.076127 -1.222127 -0.358222 0.324505 -0.156742 1.943465 \n", - "8 -0.328783 -0.210077 -0.499768 0.118765 0.570328 0.052736 -0.073425 \n", - "9 0.150219 0.739453 -0.540980 0.476677 0.451773 0.203711 -0.246914 \n", - "\n", - " V22 V23 V24 V25 V26 V27 V28 \\\n", - "0 0.277838 -0.110474 0.066928 0.128539 -0.189115 0.133558 -0.021053 \n", - "1 -0.638672 0.101288 -0.339846 0.167170 0.125895 -0.008983 0.014724 \n", - "2 0.771679 0.909412 -0.689281 -0.327642 -0.139097 -0.055353 -0.059752 \n", - "3 0.005274 -0.190321 -1.175575 0.647376 -0.221929 0.062723 0.061458 \n", - "4 0.798278 -0.137458 0.141267 -0.206010 0.502292 0.219422 0.215153 \n", - "5 -0.559825 -0.026398 -0.371427 -0.232794 0.105915 0.253844 0.081080 \n", - "6 -0.270710 -0.154104 -0.780055 0.750137 -0.257237 0.034507 0.005168 \n", - "7 -1.015455 0.057504 -0.649709 -0.415267 -0.051634 -1.206921 -1.085339 \n", - "8 -0.268092 -0.204233 1.011592 0.373205 -0.384157 0.011747 0.142404 \n", - "9 -0.633753 -0.120794 -0.385050 -0.069733 0.094199 0.246219 0.083076 \n", - "\n", - " Amount Class \n", - "0 149.62 0 \n", - "1 2.69 0 \n", - "2 378.66 0 \n", - "3 123.50 0 \n", - "4 69.99 0 \n", - "5 3.67 0 \n", - "6 4.99 0 \n", - "7 40.80 0 \n", - "8 93.20 0 \n", - "9 3.68 0 " - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from zipfile import ZipFile\n", - "\n", - "ZipFile(\"creditcardfraud.zip\").extractall(\".\")\n", - "\n", - "df = pd.read_csv(\"creditcard.csv\")\n", - "\n", - "df.head(10)" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "id": "9302f8fe", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "RangeIndex: 284807 entries, 0 to 284806\n", - "Data columns (total 31 columns):\n", - " # Column Non-Null Count Dtype \n", - "--- ------ -------------- ----- \n", - " 0 Time 284807 non-null float64\n", - " 1 V1 284807 non-null float64\n", - " 2 V2 284807 non-null float64\n", - " 3 V3 284807 non-null float64\n", - " 4 V4 284807 non-null float64\n", - " 5 V5 284807 non-null float64\n", - " 6 V6 284807 non-null float64\n", - " 7 V7 284807 non-null float64\n", - " 8 V8 284807 non-null float64\n", - " 9 V9 284807 non-null float64\n", - " 10 V10 284807 non-null float64\n", - " 11 V11 284807 non-null float64\n", - " 12 V12 284807 non-null float64\n", - " 13 V13 284807 non-null float64\n", - " 14 V14 284807 non-null float64\n", - " 15 V15 284807 non-null float64\n", - " 16 V16 284807 non-null float64\n", - " 17 V17 284807 non-null float64\n", - " 18 V18 284807 non-null float64\n", - " 19 V19 284807 non-null float64\n", - " 20 V20 284807 non-null float64\n", - " 21 V21 284807 non-null float64\n", - " 22 V22 284807 non-null float64\n", - " 23 V23 284807 non-null float64\n", - " 24 V24 284807 non-null float64\n", - " 25 V25 284807 non-null float64\n", - " 26 V26 284807 non-null float64\n", - " 27 V27 284807 non-null float64\n", - " 28 V28 284807 non-null float64\n", - " 29 Amount 284807 non-null float64\n", - " 30 Class 284807 non-null int64 \n", - "dtypes: float64(30), int64(1)\n", - "memory usage: 67.4 MB\n" - ] - } - ], - "source": [ - "df.info()" - ] - }, - { - "cell_type": "markdown", - "id": "4ba00248", - "metadata": {}, - "source": [ - "Создайте датафрейм X из датафрейма df, исключив столбец Class.\n", - "Создайте объект Series под названием y из столбца Class.\n", - "Разбейте X и y на тренировочный и тестовый наборы данных при помощи функции train_test_split,\n", - "используя аргументы: test_size=0.3, random_state=100, stratify=y.\n", - "У вас должны получиться объекты X_train, X_test, y_train и y_test.\n", - "Просмотрите информацию о их форме." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "59e1e34e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "выборка не сбалансированна, данных первого класса значительно меньше\n", - "0 0.998273\n", - "1 0.001727\n", - "Name: Class, dtype: float64\n" - ] - }, - { - "data": { - "text/plain": [ - "((199364, 30), (85443, 30), (199364,), (85443,))" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "target = \"Class\"\n", - "\n", - "y = df[target]\n", - "X = df.drop(target, axis=1)\n", - "\n", - "print(f\"выборка не сбалансированна, данных первого класса значительно меньше\\n{y.value_counts(normalize=True)}\")\n", - "\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=100, stratify=y)\n", - "X_train.shape, X_test.shape, y_train.shape, y_test.shape" - ] - }, - { - "cell_type": "markdown", - "id": "fe7fae18", - "metadata": {}, - "source": [ - "Для поиска по сетке параметров задайте такие параметры:\n", - "parameters = [{'n_estimators': [10, 15],\n", - "'max_features': np.arange(3, 5),\n", - "'max_depth': np.arange(4, 7)}]\n", - "Создайте модель GridSearchCV со следующими аргументами:\n", - "estimator=RandomForestClassifier(random_state=100),\n", - "param_grid=parameters,\n", - "scoring='roc_auc',\n", - "cv=3." - ] - }, - { - "cell_type": "code", - "execution_count": 103, - "id": "c034c2a4", - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.ensemble import RandomForestClassifier\n", - "\n", - "parameters = {\n", - " 'n_estimators': [10, 15],\n", - " 'max_features': np.arange(3, 5),\n", - " 'max_depth': np.arange(4, 7),\n", - "}\n", - "\n", - "clf = GridSearchCV(\n", - " estimator=RandomForestClassifier(random_state=100),\n", - " param_grid=parameters,\n", - " scoring='roc_auc',\n", - " cv=3,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "a4308ac3", - "metadata": {}, - "source": [ - "Обучите модель на тренировочном наборе данных (может занять несколько минут).\n", - "Просмотрите параметры лучшей модели с помощью атрибута best_params_.\n", - "Предскажите вероятности классов с помощью полученной модели и метода predict_proba.\n", - "Из полученного результата (массив Numpy) выберите столбец с индексом 1 (вероятность класса 1) и\n", - "запишите в массив y_pred_proba. Из модуля sklearn.metrics импортируйте метрику roc_auc_score.\n", - "Вычислите AUC на тестовых данных и сравните с результатом,полученным на тренировочных данных,\n", - "используя в качестве аргументов массивы y_test и y_pred_proba" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "id": "9b43d0b7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "GridSearchCV(cv=3, estimator=RandomForestClassifier(random_state=100),\n", - " param_grid={'max_depth': array([4, 5, 6]),\n", - " 'max_features': array([3, 4]),\n", - " 'n_estimators': [10, 15]},\n", - " scoring='roc_auc')" - ] - }, - "execution_count": 104, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clf.fit(X_train, y_train)" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "id": "966c3d4d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'max_depth': 6, 'max_features': 3, 'n_estimators': 15}" - ] - }, - "execution_count": 105, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clf.best_params_" - ] - }, - { - "cell_type": "code", - "execution_count": 110, - "id": "405d63d0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "метрика AUC=0.9436 на тестовых данных меньше метрики AUC=0.9660 на обучающем наборе\n" - ] - } - ], - "source": [ - "from sklearn.metrics import roc_auc_score\n", - "\n", - "model = RandomForestClassifier(max_depth=6, max_features=3, n_estimators=15)\n", - "\n", - "model.fit(X_train, y_train)\n", - "\n", - "y_pred_proba = model.predict_proba(X_test)[:, 1]\n", - "\n", - "auc = roc_auc_score(y_test, y_pred_proba)\n", - "\n", - "print(f\"метрика AUC={auc:.4f} на тестовых данных {'больше' if auc > clf.best_score_ else 'меньше'} \"\n", - " f\"метрики AUC={clf.best_score_:.4f} на обучающем наборе\")" - ] - }, - { - "cell_type": "markdown", - "id": "5cb517be", - "metadata": {}, - "source": [ - "## *Дополнительные задания:\n", - "1). Загрузите датасет Wine из встроенных датасетов sklearn.datasets с помощью функции load_wine в\n", - "переменную data." - ] - }, - { - "cell_type": "code", - "execution_count": 111, - "id": "1dbcea26", - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.datasets import load_wine\n", - "\n", - "wine = load_wine()\n", - "\n", - "data = wine[\"data\"]" - ] - }, - { - "cell_type": "markdown", - "id": "18dea80c", - "metadata": {}, - "source": [ - "2). Полученный датасет не является датафреймом. Это структура данных, имеющая ключи\n", - "аналогично словарю. Просмотрите тип данных этой структуры данных и создайте список data_keys,\n", - "содержащий ее ключи." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "d5f5e52a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "dict_keys(['data', 'target', 'frame', 'target_names', 'DESCR', 'feature_names'])" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "data_keys = wine.keys()\n", - "data_keys" - ] - }, - { - "cell_type": "markdown", - "id": "73bff5cf", - "metadata": {}, - "source": [ - "3). Просмотрите данные, описание и названия признаков в датасете. Описание нужно вывести в виде\n", - "привычного, аккуратно оформленного текста, без обозначений переноса строки, но с самими\n", - "переносами и т.д." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "39433029", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".. _wine_dataset:\n", - "\n", - "Wine recognition dataset\n", - "------------------------\n", - "\n", - "**Data Set Characteristics:**\n", - "\n", - " :Number of Instances: 178 (50 in each of three classes)\n", - " :Number of Attributes: 13 numeric, predictive attributes and the class\n", - " :Attribute Information:\n", - " \t\t- Alcohol\n", - " \t\t- Malic acid\n", - " \t\t- Ash\n", - "\t\t- Alcalinity of ash \n", - " \t\t- Magnesium\n", - "\t\t- Total phenols\n", - " \t\t- Flavanoids\n", - " \t\t- Nonflavanoid phenols\n", - " \t\t- Proanthocyanins\n", - "\t\t- Color intensity\n", - " \t\t- Hue\n", - " \t\t- OD280/OD315 of diluted wines\n", - " \t\t- Proline\n", - "\n", - " - class:\n", - " - class_0\n", - " - class_1\n", - " - class_2\n", - "\t\t\n", - " :Summary Statistics:\n", - " \n", - " ============================= ==== ===== ======= =====\n", - " Min Max Mean SD\n", - " ============================= ==== ===== ======= =====\n", - " Alcohol: 11.0 14.8 13.0 0.8\n", - " Malic Acid: 0.74 5.80 2.34 1.12\n", - " Ash: 1.36 3.23 2.36 0.27\n", - " Alcalinity of Ash: 10.6 30.0 19.5 3.3\n", - " Magnesium: 70.0 162.0 99.7 14.3\n", - " Total Phenols: 0.98 3.88 2.29 0.63\n", - " Flavanoids: 0.34 5.08 2.03 1.00\n", - " Nonflavanoid Phenols: 0.13 0.66 0.36 0.12\n", - " Proanthocyanins: 0.41 3.58 1.59 0.57\n", - " Colour Intensity: 1.3 13.0 5.1 2.3\n", - " Hue: 0.48 1.71 0.96 0.23\n", - " OD280/OD315 of diluted wines: 1.27 4.00 2.61 0.71\n", - " Proline: 278 1680 746 315\n", - " ============================= ==== ===== ======= =====\n", - "\n", - " :Missing Attribute Values: None\n", - " :Class Distribution: class_0 (59), class_1 (71), class_2 (48)\n", - " :Creator: R.A. Fisher\n", - " :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n", - " :Date: July, 1988\n", - "\n", - "This is a copy of UCI ML Wine recognition datasets.\n", - "https://archive.ics.uci.edu/ml/machine-learning-databases/wine/wine.data\n", - "\n", - "The data is the results of a chemical analysis of wines grown in the same\n", - "region in Italy by three different cultivators. There are thirteen different\n", - "measurements taken for different constituents found in the three types of\n", - "wine.\n", - "\n", - "Original Owners: \n", - "\n", - "Forina, M. et al, PARVUS - \n", - "An Extendible Package for Data Exploration, Classification and Correlation. \n", - "Institute of Pharmaceutical and Food Analysis and Technologies,\n", - "Via Brigata Salerno, 16147 Genoa, Italy.\n", - "\n", - "Citation:\n", - "\n", - "Lichman, M. (2013). UCI Machine Learning Repository\n", - "[https://archive.ics.uci.edu/ml]. Irvine, CA: University of California,\n", - "School of Information and Computer Science. \n", - "\n", - ".. topic:: References\n", - "\n", - " (1) S. Aeberhard, D. Coomans and O. de Vel, \n", - " Comparison of Classifiers in High Dimensional Settings, \n", - " Tech. Rep. no. 92-02, (1992), Dept. of Computer Science and Dept. of \n", - " Mathematics and Statistics, James Cook University of North Queensland. \n", - " (Also submitted to Technometrics). \n", - "\n", - " The data was used with many others for comparing various \n", - " classifiers. The classes are separable, though only RDA \n", - " has achieved 100% correct classification. \n", - " (RDA : 100%, QDA 99.4%, LDA 98.9%, 1NN 96.1% (z-transformed data)) \n", - " (All results using the leave-one-out technique) \n", - "\n", - " (2) S. Aeberhard, D. Coomans and O. de Vel, \n", - " \"THE CLASSIFICATION PERFORMANCE OF RDA\" \n", - " Tech. Rep. no. 92-01, (1992), Dept. of Computer Science and Dept. of \n", - " Mathematics and Statistics, James Cook University of North Queensland. \n", - " (Also submitted to Journal of Chemometrics).\n", - "\n" - ] - } - ], - "source": [ - "print(wine[\"DESCR\"])" - ] - }, - { - "cell_type": "markdown", - "id": "772359a0", - "metadata": {}, - "source": [ - "4). Сколько классов содержит целевая переменная датасета? Выведите названия классов." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "183b0c76", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['class_0' 'class_1' 'class_2']\n", - "кол-во:3\n" - ] - } - ], - "source": [ - "target_class = wine[\"target_names\"]\n", - "\n", - "print(f\"{target_class}\\nкол-во:{len(target_class)}\")" - ] - }, - { - "cell_type": "markdown", - "id": "41d6690b", - "metadata": {}, - "source": [ - "5). На основе данных датасета (они содержатся в двумерном массиве Numpy) и названий признаков\n", - "создайте датафрейм под названием X." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "15557fbe", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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\n", - "
" - ], - "text/plain": [ - " alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n", - "0 14.23 1.71 2.43 15.6 127.0 2.80 \n", - "1 13.20 1.78 2.14 11.2 100.0 2.65 \n", - "2 13.16 2.36 2.67 18.6 101.0 2.80 \n", - "3 14.37 1.95 2.50 16.8 113.0 3.85 \n", - "4 13.24 2.59 2.87 21.0 118.0 2.80 \n", - "\n", - " flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n", - "0 3.06 0.28 2.29 5.64 1.04 \n", - "1 2.76 0.26 1.28 4.38 1.05 \n", - "2 3.24 0.30 2.81 5.68 1.03 \n", - "3 3.49 0.24 2.18 7.80 0.86 \n", - "4 2.69 0.39 1.82 4.32 1.04 \n", - "\n", - " od280/od315_of_diluted_wines proline \n", - "0 3.92 1065.0 \n", - "1 3.40 1050.0 \n", - "2 3.17 1185.0 \n", - "3 3.45 1480.0 \n", - "4 2.93 735.0 " - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "feature_names = wine[\"feature_names\"]\n", - "\n", - "X = pd.DataFrame(data, columns=feature_names)\n", - "\n", - "X.head()" - ] - }, - { - "cell_type": "markdown", - "id": "e9ef2d4b", - "metadata": {}, - "source": [ - "6). Выясните размер датафрейма X и установите, имеются ли в нем пропущенные значения." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "9f2ee54a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "RangeIndex: 178 entries, 0 to 177\n", - "Data columns (total 13 columns):\n", - " # Column Non-Null Count Dtype \n", - "--- ------ -------------- ----- \n", - " 0 alcohol 178 non-null float64\n", - " 1 malic_acid 178 non-null float64\n", - " 2 ash 178 non-null float64\n", - " 3 alcalinity_of_ash 178 non-null float64\n", - " 4 magnesium 178 non-null float64\n", - " 5 total_phenols 178 non-null float64\n", - " 6 flavanoids 178 non-null float64\n", - " 7 nonflavanoid_phenols 178 non-null float64\n", - " 8 proanthocyanins 178 non-null float64\n", - " 9 color_intensity 178 non-null float64\n", - " 10 hue 178 non-null float64\n", - " 11 od280/od315_of_diluted_wines 178 non-null float64\n", - " 12 proline 178 non-null float64\n", - "dtypes: float64(13)\n", - "memory usage: 18.2 KB\n" - ] - } - ], - "source": [ - "X.info()" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "90a743fa", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "размер = (178, 13)\n", - "кол-во пустых значений\n", - "alcohol 0\n", - "malic_acid 0\n", - "ash 0\n", - "alcalinity_of_ash 0\n", - "magnesium 0\n", - "total_phenols 0\n", - "flavanoids 0\n", - "nonflavanoid_phenols 0\n", - "proanthocyanins 0\n", - "color_intensity 0\n", - "hue 0\n", - "od280/od315_of_diluted_wines 0\n", - "proline 0\n", - "dtype: int64\n" - ] - } - ], - "source": [ - "print(f\"размер = {X.shape}\\nкол-во пустых значений\\n{X.isnull().sum(axis=0)}\")" - ] - }, - { - "cell_type": "markdown", - "id": "cf169b47", - "metadata": {}, - "source": [ - "7). Добавьте в датафрейм поле с классами вин в виде чисел, имеющих тип данных numpy.int64.\n", - "Название поля - 'target'." - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "id": "3883dbe8", - "metadata": {}, - "outputs": [], - "source": [ - "X[\"target\"] = wine[\"target\"].astype(\"int64\")" - ] - }, - { - "cell_type": "markdown", - "id": "e5918c4e", - "metadata": {}, - "source": [ - "8). Постройте матрицу корреляций для всех полей X. Дайте полученному датафрейму название\n", - "X_corr" - ] - }, - { - "cell_type": "code", - "execution_count": 97, - "id": "d4c9b5e1", - "metadata": {}, - "outputs": [], - "source": [ - "X_corr = X.corr()" - ] - }, - { - "cell_type": "markdown", - "id": "43fd36d4", - "metadata": {}, - "source": [ - "9). Создайте список high_corr из признаков, корреляция которых с полем target по абсолютному\n", - "значению превышает 0.5 (причем, само поле target не должно входить в этот список)." - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "id": "a788a848", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['alcalinity_of_ash',\n", - " 'total_phenols',\n", - " 'flavanoids',\n", - " 'hue',\n", - " 'od280/od315_of_diluted_wines',\n", - " 'proline']" - ] - }, - "execution_count": 98, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "high_corr = [item for item in X_corr[abs(X_corr.target) > 0.5].index if item != \"target\"]\n", - "high_corr" - ] - }, - { - "cell_type": "markdown", - "id": "beab1b7d", - "metadata": {}, - "source": [ - "10). Удалите из датафрейма X поле с целевой переменной. Для всех признаков, названия которых\n", - "содержатся в списке high_corr, вычислите квадрат их значений и добавьте в датафрейм X\n", - "соответствующие поля с суффиксом '_2', добавленного к первоначальному названию признака.\n", - "Итоговый датафрейм должен содержать все поля, которые, были в нем изначально, а также поля с\n", - "признаками из списка high_corr, возведенными в квадрат. Выведите описание полей датафрейма X с\n", - "помощью метода describe." - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "id": "426afeb5", - "metadata": {}, - "outputs": [], - "source": [ - "X.drop(\"target\", axis = 1, inplace = True) \n", - "\n", - "for item in high_corr:\n", - " X[item+\"_2\"] = X[item] ** 2" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "id": "382274e0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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std0.8118271.1171460.2743443.33956414.2824840.6258510.9988590.1244530.5723592.3182860.2285720.709990314.907474133.6717752.9362944.2114410.4437983.5843165.558591e+05
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50%13.0500001.8650002.36000019.50000098.0000002.3550002.1350000.3400001.5550004.6900000.9650002.780000673.500000380.2500005.5460504.5582500.9312507.7284004.536045e+05
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"\n", - " od280/od315_of_diluted_wines_2 proline_2 \n", - "count 178.000000 1.780000e+02 \n", - "mean 7.322155 6.564591e+05 \n", - "std 3.584316 5.558591e+05 \n", - "min 1.612900 7.728400e+04 \n", - "25% 3.754075 2.505010e+05 \n", - "50% 7.728400 4.536045e+05 \n", - "75% 10.048900 9.702250e+05 \n", - "max 16.000000 2.822400e+06 " - ] - }, - "execution_count": 101, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "X.describe()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c1245b68", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.6" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From 7dab7fa79071581a5c07bbceb340536bf5999ee8 Mon Sep 17 00:00:00 2001 From: Tolik Date: Sun, 23 Jun 2024 23:48:31 +0300 Subject: [PATCH 6/9] Release Home Work Machine Learning DSLibraries Lesson8 --- Lesson8/Task1.ipynb | 4329 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 4329 insertions(+) create mode 100644 Lesson8/Task1.ipynb diff --git a/Lesson8/Task1.ipynb b/Lesson8/Task1.ipynb new file mode 100644 index 0000000..82adc6c --- /dev/null +++ b/Lesson8/Task1.ipynb @@ -0,0 +1,4329 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "p62jUuP4ONfJ" + }, + "source": [ + "# Обучение без учителя в Scikit-learn" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 1\n", + "Импортируйте библиотеки pandas, numpy и matplotlib.\n", + "Загрузите \"Boston House Prices dataset\" из встроенных наборов данных библиотеки sklearn.\n", + "Создайте датафреймы X и y из этих данных.\n", + "\n", + "Разбейте эти датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test)\n", + "с помощью функции train_test_split так, чтобы размер тестовой выборки\n", + "составлял 20% от всех данных, при этом аргумент random_state должен быть равен 42.\n", + "\n", + "Масштабируйте данные с помощью StandardScaler.\n", + "\n", + "Постройте модель TSNE на тренировочный данных с параметрами:\n", + "n_components=2, learning_rate=250, random_state=42.\n", + "\n", + "Постройте диаграмму рассеяния на этих данных." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "id": "QuNQtlOkONfL" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use('fivethirtyeight')\n", + "\n", + "%config InlineBackend.figure_format = 'svg'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", + "0 0.00632 18.0 2.31 0.0 0.538 6.575 65.2 4.0900 1.0 296.0 \n", + "1 0.02731 0.0 7.07 0.0 0.469 6.421 78.9 4.9671 2.0 242.0 \n", + "2 0.02729 0.0 7.07 0.0 0.469 7.185 61.1 4.9671 2.0 242.0 \n", + "3 0.03237 0.0 2.18 0.0 0.458 6.998 45.8 6.0622 3.0 222.0 \n", + "4 0.06905 0.0 2.18 0.0 0.458 7.147 54.2 6.0622 3.0 222.0 \n", + "\n", + " PTRATIO B LSTAT \n", + "0 15.3 396.90 4.98 \n", + "1 17.8 396.90 9.14 \n", + "2 17.8 392.83 4.03 \n", + "3 18.7 394.63 2.94 \n", + "4 18.7 396.90 5.33 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " price\n", + "0 24.0\n", + "1 21.6\n", + "2 34.7\n", + "3 33.4\n", + "4 36.2" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.datasets import load_boston\n", + "\n", + "boston = load_boston()\n", + "\n", + "data = boston[\"data\"]\n", + "\n", + "feature_names = boston[\"feature_names\"]\n", + "\n", + "X = pd.DataFrame(data, columns=feature_names)\n", + "y = pd.DataFrame(boston[\"target\"], columns=[\"price\"])\n", + "\n", + "display(X.head()), display(y.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "id": "fvOnLpaXONfn" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((404, 13), (102, 13))" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n", + "\n", + "X_train.shape, X_test.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "id": "yPxQL0KZONfi" + }, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "scaler = StandardScaler(with_mean=False)\n", + "\n", + "X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n", + "X_test_scaled = pd.DataFrame(scaler.transform(X_test), columns=X_test.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "id": "HWt-_P61ONfo", + "outputId": "faac3c81-85b0-44df-9427-9494e76e33a6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "До:\t(404, 13)\n", + "После:\t(404, 2)\n" + ] + } + ], + "source": [ + "from sklearn.manifold import TSNE\n", + "\n", + "tsne = TSNE(n_components=2, learning_rate=250, random_state=42)\n", + "\n", + "X_train_tsne = tsne.fit_transform(X_train_scaled)\n", + "\n", + "print('До:\\t{}'.format(X_train_scaled.shape))\n", + "print('После:\\t{}'.format(X_train_tsne.shape))" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "id": "RIGICrkHONfo", + "outputId": "671f4770-6c3f-4f12-b61c-50e7025bfe20", + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-23T23:29:45.942609\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from pylab import rcParams\n", + "\n", + "plt.rcParams['figure.figsize'] = 10, 6\n", + "\n", + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 2\n", + "С помощью KMeans разбейте данные из тренировочного набора на 3 кластера,\n", + "используйте все признаки из датафрейма X_train.\n", + "Параметр max_iter должен быть равен 100, random_state сделайте равным 42.\n", + "\n", + "Постройте еще раз диаграмму рассеяния на данных, полученных с помощью TSNE,\n", + "и раскрасьте точки из разных кластеров разными цветами.\n", + "\n", + "Вычислите средние значения price и CRIM в разных кластерах." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "id": "F9QU6VLLONfK" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "id": "sK44YXDaONfT", + "outputId": "6bbf6bf8-d9e3-4571-c975-7b9cdd48fe9c" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-23T23:30:36.734098\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "inertias = []\n", + "\n", + "max_iter = 100\n", + "for i in range(2, max_iter):\n", + " temp_model = KMeans(n_clusters=i, random_state=42)\n", + " temp_model.fit(X_train_scaled)\n", + " \n", + " temp_inertia = temp_model.inertia_\n", + " \n", + " inertias.append(temp_inertia)\n", + "\n", + "plt.plot(range(2, max_iter), inertias)\n", + "\n", + "plt.title('Inertia')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "inertia на графике начинает выравниваться на 17 кластерах, используем данное значение в гиперпараметрах модели" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "fqLX3t5VONfO", + "outputId": "01cace59-8dbd-44bb-f918-8538bb02abe3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Train clustered')" + ] + }, + "execution_count": 58, + "metadata": {}, + 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "model = KMeans(n_clusters=17, random_state=42)\n", + "\n", + "train_labels = model.fit_predict(X_train_tsne)\n", + "\n", + "centers = model.cluster_centers_\n", + "\n", + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1], c=train_labels)\n", + "plt.scatter(centers[:, 0], centers[:, 1], marker='D', color='red')\n", + "\n", + "plt.title('Train clustered')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Cluster MeanPrice MeanCRIM\n", + "0 0.0 23.662500 2.156072\n", + "1 1.0 22.095455 1.568839\n", + "2 2.0 22.945000 7.046766\n", + "3 3.0 23.654167 1.453769\n", + "4 4.0 26.260000 0.169306\n", + "5 5.0 25.740000 0.923443\n", + "6 6.0 23.780000 1.377391\n", + "7 7.0 28.175000 2.585901\n", + "8 8.0 25.721429 1.479126\n", + "9 9.0 24.171429 2.669954\n", + "10 10.0 25.412500 1.494771\n", + "11 11.0 23.651515 1.944150\n", + "12 12.0 25.350000 0.895165\n", + "13 13.0 22.955556 0.162179\n", + "14 14.0 24.522222 0.984675\n", + "15 15.0 22.200000 2.488093\n", + "16 16.0 25.741667 0.640832" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def summary(data):\n", + " return data.groupby(['Cluster'], as_index=False).agg({'price':'mean', 'CRIM':'mean'})\\\n", + " .rename(columns={'price':'MeanPrice', 'CRIM': 'MeanCRIM'})\n", + "\n", + "summary(pd.concat([X_train, pd.DataFrame(train_labels, columns=['Cluster']), y_train], axis=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 3 \n", + "Примените модель KMeans, построенную в предыдущем задании, к данным из тестового набора.\n", + "Вычислите средние значения price и CRIM в разных кластерах на тестовых данных.\n", + "Выполните, пожалуйста, если возникнут проблемы при отправке решения - пишите, пожалуйста." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "test_labels = model.fit_predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Cluster MeanPrice MeanCRIM\n", + "0 0.0 19.466667 0.341773\n", + "1 1.0 25.160000 0.268740\n", + "2 2.0 NaN NaN\n", + "3 3.0 24.200000 0.088260\n", + "4 4.0 21.800000 0.128630\n", + "5 5.0 30.800000 0.027630\n", + "6 6.0 19.116667 0.454337\n", + "7 7.0 20.900000 0.128160\n", + "8 8.0 22.650000 0.071760\n", + "9 9.0 NaN NaN\n", + "10 10.0 20.300000 0.083870\n", + "11 11.0 25.000000 0.126500\n", + "12 12.0 NaN NaN\n", + "13 13.0 24.100000 0.115990\n", + "14 14.0 25.000000 0.028750\n", + "15 15.0 22.600000 0.046840\n", + "16 16.0 NaN NaN" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "summary(pd.concat([X_test, pd.DataFrame(test_labels, columns=['Cluster']), y_test], axis=1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [ + "NJVFjt4ZONfV", + "N4LH5gnYONfW", + "7U_GAERXONfh", + "7uBf7K66ONfl" + ], + "name": "5. Обучение без учителя в Scikit-learn.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} From da7d3c78b4d4e4f4ee08e4df19d1bc60be9902cb Mon Sep 17 00:00:00 2001 From: Tolik Date: Sun, 23 Jun 2024 23:57:00 +0300 Subject: [PATCH 7/9] Modify structure --- Lesson8/Task1.ipynb | 4329 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 4329 insertions(+) create mode 100644 Lesson8/Task1.ipynb diff --git a/Lesson8/Task1.ipynb b/Lesson8/Task1.ipynb new file mode 100644 index 0000000..82adc6c --- /dev/null +++ b/Lesson8/Task1.ipynb @@ -0,0 +1,4329 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "p62jUuP4ONfJ" + }, + "source": [ + "# Обучение без учителя в Scikit-learn" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 1\n", + "Импортируйте библиотеки pandas, numpy и matplotlib.\n", + "Загрузите \"Boston House Prices dataset\" из встроенных наборов данных библиотеки sklearn.\n", + "Создайте датафреймы X и y из этих данных.\n", + "\n", + "Разбейте эти датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test)\n", + "с помощью функции train_test_split так, чтобы размер тестовой выборки\n", + "составлял 20% от всех данных, при этом аргумент random_state должен быть равен 42.\n", + "\n", + "Масштабируйте данные с помощью StandardScaler.\n", + "\n", + "Постройте модель TSNE на тренировочный данных с параметрами:\n", + "n_components=2, learning_rate=250, random_state=42.\n", + "\n", + "Постройте диаграмму рассеяния на этих данных." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "id": "QuNQtlOkONfL" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use('fivethirtyeight')\n", + "\n", + "%config InlineBackend.figure_format = 'svg'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", + "0 0.00632 18.0 2.31 0.0 0.538 6.575 65.2 4.0900 1.0 296.0 \n", + "1 0.02731 0.0 7.07 0.0 0.469 6.421 78.9 4.9671 2.0 242.0 \n", + "2 0.02729 0.0 7.07 0.0 0.469 7.185 61.1 4.9671 2.0 242.0 \n", + "3 0.03237 0.0 2.18 0.0 0.458 6.998 45.8 6.0622 3.0 222.0 \n", + "4 0.06905 0.0 2.18 0.0 0.458 7.147 54.2 6.0622 3.0 222.0 \n", + "\n", + " PTRATIO B LSTAT \n", + "0 15.3 396.90 4.98 \n", + "1 17.8 396.90 9.14 \n", + "2 17.8 392.83 4.03 \n", + "3 18.7 394.63 2.94 \n", + "4 18.7 396.90 5.33 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " price\n", + "0 24.0\n", + "1 21.6\n", + "2 34.7\n", + "3 33.4\n", + "4 36.2" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.datasets import load_boston\n", + "\n", + "boston = load_boston()\n", + "\n", + "data = boston[\"data\"]\n", + "\n", + "feature_names = boston[\"feature_names\"]\n", + "\n", + "X = pd.DataFrame(data, columns=feature_names)\n", + "y = pd.DataFrame(boston[\"target\"], columns=[\"price\"])\n", + "\n", + "display(X.head()), display(y.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "id": "fvOnLpaXONfn" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((404, 13), (102, 13))" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n", + "\n", + "X_train.shape, X_test.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "id": "yPxQL0KZONfi" + }, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "scaler = StandardScaler(with_mean=False)\n", + "\n", + "X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n", + "X_test_scaled = pd.DataFrame(scaler.transform(X_test), columns=X_test.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "id": "HWt-_P61ONfo", + "outputId": "faac3c81-85b0-44df-9427-9494e76e33a6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "До:\t(404, 13)\n", + "После:\t(404, 2)\n" + ] + } + ], + "source": [ + "from sklearn.manifold import TSNE\n", + "\n", + "tsne = TSNE(n_components=2, learning_rate=250, random_state=42)\n", + "\n", + "X_train_tsne = tsne.fit_transform(X_train_scaled)\n", + "\n", + "print('До:\\t{}'.format(X_train_scaled.shape))\n", + "print('После:\\t{}'.format(X_train_tsne.shape))" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "id": "RIGICrkHONfo", + "outputId": "671f4770-6c3f-4f12-b61c-50e7025bfe20", + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-23T23:29:45.942609\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from pylab import rcParams\n", + "\n", + "plt.rcParams['figure.figsize'] = 10, 6\n", + "\n", + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 2\n", + "С помощью KMeans разбейте данные из тренировочного набора на 3 кластера,\n", + "используйте все признаки из датафрейма X_train.\n", + "Параметр max_iter должен быть равен 100, random_state сделайте равным 42.\n", + "\n", + "Постройте еще раз диаграмму рассеяния на данных, полученных с помощью TSNE,\n", + "и раскрасьте точки из разных кластеров разными цветами.\n", + "\n", + "Вычислите средние значения price и CRIM в разных кластерах." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "id": "F9QU6VLLONfK" + }, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "id": "sK44YXDaONfT", + "outputId": "6bbf6bf8-d9e3-4571-c975-7b9cdd48fe9c" + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\r\n", + "\r\n", + "\r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " 2024-06-23T23:30:36.734098\r\n", + " image/svg+xml\r\n", + " \r\n", + " \r\n", + " Matplotlib v3.3.4, https://matplotlib.org/\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n" + ], + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "inertias = []\n", + "\n", + "max_iter = 100\n", + "for i in range(2, max_iter):\n", + " temp_model = KMeans(n_clusters=i, random_state=42)\n", + " temp_model.fit(X_train_scaled)\n", + " \n", + " temp_inertia = temp_model.inertia_\n", + " \n", + " inertias.append(temp_inertia)\n", + "\n", + "plt.plot(range(2, max_iter), inertias)\n", + "\n", + "plt.title('Inertia')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "inertia на графике начинает выравниваться на 17 кластерах, используем данное значение в гиперпараметрах модели" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "fqLX3t5VONfO", + "outputId": "01cace59-8dbd-44bb-f918-8538bb02abe3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Train clustered')" + ] + }, + "execution_count": 58, + "metadata": {}, + 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "model = KMeans(n_clusters=17, random_state=42)\n", + "\n", + "train_labels = model.fit_predict(X_train_tsne)\n", + "\n", + "centers = model.cluster_centers_\n", + "\n", + "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1], c=train_labels)\n", + "plt.scatter(centers[:, 0], centers[:, 1], marker='D', color='red')\n", + "\n", + "plt.title('Train clustered')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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ClusterMeanPriceMeanCRIM
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" + ], + "text/plain": [ + " Cluster MeanPrice MeanCRIM\n", + "0 0.0 23.662500 2.156072\n", + "1 1.0 22.095455 1.568839\n", + "2 2.0 22.945000 7.046766\n", + "3 3.0 23.654167 1.453769\n", + "4 4.0 26.260000 0.169306\n", + "5 5.0 25.740000 0.923443\n", + "6 6.0 23.780000 1.377391\n", + "7 7.0 28.175000 2.585901\n", + "8 8.0 25.721429 1.479126\n", + "9 9.0 24.171429 2.669954\n", + "10 10.0 25.412500 1.494771\n", + "11 11.0 23.651515 1.944150\n", + "12 12.0 25.350000 0.895165\n", + "13 13.0 22.955556 0.162179\n", + "14 14.0 24.522222 0.984675\n", + "15 15.0 22.200000 2.488093\n", + "16 16.0 25.741667 0.640832" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def summary(data):\n", + " return data.groupby(['Cluster'], as_index=False).agg({'price':'mean', 'CRIM':'mean'})\\\n", + " .rename(columns={'price':'MeanPrice', 'CRIM': 'MeanCRIM'})\n", + "\n", + "summary(pd.concat([X_train, pd.DataFrame(train_labels, columns=['Cluster']), y_train], axis=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Задание 3 \n", + "Примените модель KMeans, построенную в предыдущем задании, к данным из тестового набора.\n", + "Вычислите средние значения price и CRIM в разных кластерах на тестовых данных.\n", + "Выполните, пожалуйста, если возникнут проблемы при отправке решения - пишите, пожалуйста." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "test_labels = model.fit_predict(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Cluster MeanPrice MeanCRIM\n", + "0 0.0 19.466667 0.341773\n", + "1 1.0 25.160000 0.268740\n", + "2 2.0 NaN NaN\n", + "3 3.0 24.200000 0.088260\n", + "4 4.0 21.800000 0.128630\n", + "5 5.0 30.800000 0.027630\n", + "6 6.0 19.116667 0.454337\n", + "7 7.0 20.900000 0.128160\n", + "8 8.0 22.650000 0.071760\n", + "9 9.0 NaN NaN\n", + "10 10.0 20.300000 0.083870\n", + "11 11.0 25.000000 0.126500\n", + "12 12.0 NaN NaN\n", + "13 13.0 24.100000 0.115990\n", + "14 14.0 25.000000 0.028750\n", + "15 15.0 22.600000 0.046840\n", + "16 16.0 NaN NaN" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "summary(pd.concat([X_test, pd.DataFrame(test_labels, columns=['Cluster']), y_test], axis=1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [ + "NJVFjt4ZONfV", + "N4LH5gnYONfW", + "7U_GAERXONfh", + "7uBf7K66ONfl" + ], + "name": "5. Обучение без учителя в Scikit-learn.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} From d87ad1ad1aaa463c632c2789c6fb6123d648a56c Mon Sep 17 00:00:00 2001 From: Foton Date: Thu, 4 Jul 2024 18:53:28 +0300 Subject: [PATCH 8/9] Release Home Work Machine Learning DSlibraries Summary --- Lesson8/Task1.ipynb | 4329 ------------------------------------------- Lesson8/X_train.pkl | Bin 37231 -> 0 bytes Lesson8/X_valid.pkl | Bin 13197 -> 0 bytes Lesson8/y_train.pkl | Bin 16662 -> 0 bytes Lesson8/y_valid.pkl | Bin 5978 -> 0 bytes 5 files changed, 4329 deletions(-) delete mode 100644 Lesson8/Task1.ipynb delete mode 100644 Lesson8/X_train.pkl delete mode 100644 Lesson8/X_valid.pkl delete mode 100644 Lesson8/y_train.pkl delete mode 100644 Lesson8/y_valid.pkl diff --git a/Lesson8/Task1.ipynb b/Lesson8/Task1.ipynb deleted file mode 100644 index 82adc6c..0000000 --- a/Lesson8/Task1.ipynb +++ /dev/null @@ -1,4329 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "p62jUuP4ONfJ" - }, - "source": [ - "# Обучение без учителя в Scikit-learn" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Задание 1\n", - "Импортируйте библиотеки pandas, numpy и matplotlib.\n", - "Загрузите \"Boston House Prices dataset\" из встроенных наборов данных библиотеки sklearn.\n", - "Создайте датафреймы X и y из этих данных.\n", - "\n", - "Разбейте эти датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test)\n", - "с помощью функции train_test_split так, чтобы размер тестовой выборки\n", - "составлял 20% от всех данных, при этом аргумент random_state должен быть равен 42.\n", - "\n", - "Масштабируйте данные с помощью StandardScaler.\n", - "\n", - "Постройте модель TSNE на тренировочный данных с параметрами:\n", - "n_components=2, learning_rate=250, random_state=42.\n", - "\n", - "Постройте диаграмму рассеяния на этих данных." - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": { - "id": "QuNQtlOkONfL" - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "\n", - "plt.style.use('fivethirtyeight')\n", - "\n", - "%config InlineBackend.figure_format = 'svg'\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", - "0 0.00632 18.0 2.31 0.0 0.538 6.575 65.2 4.0900 1.0 296.0 \n", - "1 0.02731 0.0 7.07 0.0 0.469 6.421 78.9 4.9671 2.0 242.0 \n", - "2 0.02729 0.0 7.07 0.0 0.469 7.185 61.1 4.9671 2.0 242.0 \n", - "3 0.03237 0.0 2.18 0.0 0.458 6.998 45.8 6.0622 3.0 222.0 \n", - "4 0.06905 0.0 2.18 0.0 0.458 7.147 54.2 6.0622 3.0 222.0 \n", - "\n", - " PTRATIO B LSTAT \n", - "0 15.3 396.90 4.98 \n", - "1 17.8 396.90 9.14 \n", - "2 17.8 392.83 4.03 \n", - "3 18.7 394.63 2.94 \n", - "4 18.7 396.90 5.33 " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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price
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\n", - "
" - ], - "text/plain": [ - " price\n", - "0 24.0\n", - "1 21.6\n", - "2 34.7\n", - "3 33.4\n", - "4 36.2" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "(None, None)" - ] - }, - "execution_count": 51, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from sklearn.datasets import load_boston\n", - "\n", - "boston = load_boston()\n", - "\n", - "data = boston[\"data\"]\n", - "\n", - "feature_names = boston[\"feature_names\"]\n", - "\n", - "X = pd.DataFrame(data, columns=feature_names)\n", - "y = pd.DataFrame(boston[\"target\"], columns=[\"price\"])\n", - "\n", - "display(X.head()), display(y.head())" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": { - "id": "fvOnLpaXONfn" - }, - "outputs": [ - { - "data": { - "text/plain": [ - "((404, 13), (102, 13))" - ] - }, - "execution_count": 52, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from sklearn.model_selection import train_test_split\n", - "\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n", - "\n", - "X_train.shape, X_test.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "id": "yPxQL0KZONfi" - }, - "outputs": [], - "source": [ - "from sklearn.preprocessing import StandardScaler\n", - "\n", - "scaler = StandardScaler(with_mean=False)\n", - "\n", - "X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n", - "X_test_scaled = pd.DataFrame(scaler.transform(X_test), columns=X_test.columns)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": { - "id": "HWt-_P61ONfo", - "outputId": "faac3c81-85b0-44df-9427-9494e76e33a6" - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "До:\t(404, 13)\n", - "После:\t(404, 2)\n" - ] - } - ], - "source": [ - "from sklearn.manifold import TSNE\n", - "\n", - "tsne = TSNE(n_components=2, learning_rate=250, random_state=42)\n", - "\n", - "X_train_tsne = tsne.fit_transform(X_train_scaled)\n", - "\n", - "print('До:\\t{}'.format(X_train_scaled.shape))\n", - "print('После:\\t{}'.format(X_train_tsne.shape))" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": { - "id": "RIGICrkHONfo", - "outputId": "671f4770-6c3f-4f12-b61c-50e7025bfe20", - "scrolled": false - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2024-06-23T23:29:45.942609\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.4, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from pylab import rcParams\n", - "\n", - "plt.rcParams['figure.figsize'] = 10, 6\n", - "\n", - "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Задание 2\n", - "С помощью KMeans разбейте данные из тренировочного набора на 3 кластера,\n", - "используйте все признаки из датафрейма X_train.\n", - "Параметр max_iter должен быть равен 100, random_state сделайте равным 42.\n", - "\n", - "Постройте еще раз диаграмму рассеяния на данных, полученных с помощью TSNE,\n", - "и раскрасьте точки из разных кластеров разными цветами.\n", - "\n", - "Вычислите средние значения price и CRIM в разных кластерах." - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": { - "id": "F9QU6VLLONfK" - }, - "outputs": [], - "source": [ - "from sklearn.cluster import KMeans" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": { - "id": "sK44YXDaONfT", - "outputId": "6bbf6bf8-d9e3-4571-c975-7b9cdd48fe9c" - }, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2024-06-23T23:30:36.734098\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.4, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n" - ], - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "inertias = []\n", - "\n", - "max_iter = 100\n", - "for i in range(2, max_iter):\n", - " temp_model = KMeans(n_clusters=i, random_state=42)\n", - " temp_model.fit(X_train_scaled)\n", - " \n", - " temp_inertia = temp_model.inertia_\n", - " \n", - " inertias.append(temp_inertia)\n", - "\n", - "plt.plot(range(2, max_iter), inertias)\n", - "\n", - "plt.title('Inertia')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "inertia на графике начинает выравниваться на 17 кластерах, используем данное значение в гиперпараметрах модели" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "metadata": { - "id": "fqLX3t5VONfO", - "outputId": "01cace59-8dbd-44bb-f918-8538bb02abe3" - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Train clustered')" - ] - }, - "execution_count": 58, - "metadata": {}, - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "model = KMeans(n_clusters=17, random_state=42)\n", - "\n", - "train_labels = model.fit_predict(X_train_tsne)\n", - "\n", - "centers = model.cluster_centers_\n", - "\n", - "plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1], c=train_labels)\n", - "plt.scatter(centers[:, 0], centers[:, 1], marker='D', color='red')\n", - "\n", - "plt.title('Train clustered')" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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ClusterMeanPriceMeanCRIM
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" - ], - "text/plain": [ - " Cluster MeanPrice MeanCRIM\n", - "0 0.0 23.662500 2.156072\n", - "1 1.0 22.095455 1.568839\n", - "2 2.0 22.945000 7.046766\n", - "3 3.0 23.654167 1.453769\n", - "4 4.0 26.260000 0.169306\n", - "5 5.0 25.740000 0.923443\n", - "6 6.0 23.780000 1.377391\n", - "7 7.0 28.175000 2.585901\n", - "8 8.0 25.721429 1.479126\n", - "9 9.0 24.171429 2.669954\n", - "10 10.0 25.412500 1.494771\n", - "11 11.0 23.651515 1.944150\n", - "12 12.0 25.350000 0.895165\n", - "13 13.0 22.955556 0.162179\n", - "14 14.0 24.522222 0.984675\n", - "15 15.0 22.200000 2.488093\n", - "16 16.0 25.741667 0.640832" - ] - }, - "execution_count": 59, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def summary(data):\n", - " return data.groupby(['Cluster'], as_index=False).agg({'price':'mean', 'CRIM':'mean'})\\\n", - " .rename(columns={'price':'MeanPrice', 'CRIM': 'MeanCRIM'})\n", - "\n", - "summary(pd.concat([X_train, pd.DataFrame(train_labels, columns=['Cluster']), y_train], axis=1))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Задание 3 \n", - "Примените модель KMeans, построенную в предыдущем задании, к данным из тестового набора.\n", - "Вычислите средние значения price и CRIM в разных кластерах на тестовых данных.\n", - "Выполните, пожалуйста, если возникнут проблемы при отправке решения - пишите, пожалуйста." - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "metadata": {}, - "outputs": [], - "source": [ - "test_labels = model.fit_predict(X_test)" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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ClusterMeanPriceMeanCRIM
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" - ], - "text/plain": [ - " Cluster MeanPrice MeanCRIM\n", - "0 0.0 19.466667 0.341773\n", - "1 1.0 25.160000 0.268740\n", - "2 2.0 NaN NaN\n", - "3 3.0 24.200000 0.088260\n", - "4 4.0 21.800000 0.128630\n", - "5 5.0 30.800000 0.027630\n", - "6 6.0 19.116667 0.454337\n", - "7 7.0 20.900000 0.128160\n", - "8 8.0 22.650000 0.071760\n", - "9 9.0 NaN NaN\n", - "10 10.0 20.300000 0.083870\n", - "11 11.0 25.000000 0.126500\n", - "12 12.0 NaN NaN\n", - "13 13.0 24.100000 0.115990\n", - "14 14.0 25.000000 0.028750\n", - "15 15.0 22.600000 0.046840\n", - "16 16.0 NaN NaN" - ] - }, - "execution_count": 61, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "summary(pd.concat([X_test, pd.DataFrame(test_labels, columns=['Cluster']), y_test], axis=1))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "colab": { - "collapsed_sections": [ - "NJVFjt4ZONfV", - "N4LH5gnYONfW", - "7U_GAERXONfh", - "7uBf7K66ONfl" - ], - "name": "5. 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xtEbqczV+3s$aVN7$%0+7s&~wKtM0YD2CG!k*WL44cuk3NaV9ro>w|78@;i<)x>W!G From 99525526704f709c64f04a9dd1b481a686b2f5fe Mon Sep 17 00:00:00 2001 From: Foton Date: Thu, 4 Jul 2024 18:54:35 +0300 Subject: [PATCH 9/9] Release Home Work Machine Learning DSlibraries Summary --- Summary/ReadMe.md | 58 + Summary/Task1.ipynb | 2451 +++++++++ Summary/requirements.txt | Bin 0 -> 118 bytes Summary/test.csv | 5001 +++++++++++++++++++ Summary/train.csv | 10001 +++++++++++++++++++++++++++++++++++++ 5 files changed, 17511 insertions(+) create mode 100644 Summary/ReadMe.md create mode 100644 Summary/Task1.ipynb create mode 100644 Summary/requirements.txt create mode 100644 Summary/test.csv create mode 100644 Summary/train.csv diff --git a/Summary/ReadMe.md b/Summary/ReadMe.md new file mode 100644 index 0000000..a1ded0c --- /dev/null +++ b/Summary/ReadMe.md @@ -0,0 +1,58 @@ +Курсовой проект для курса "Python для Data Science" + +Материалы к проекту (файлы): +train.csv +test.csv + +Задание: +Используя данные из train.csv, построить +модель для предсказания цен на недвижимость (квартиры). +С помощью полученной модели предсказать +цены для квартир из файла test.csv. + +Целевая переменная: +Price + +Метрика: +R2 - коэффициент детерминации (sklearn.metrics.r2_score) + +Сдача проекта: +1. Прислать в раздел Задания Урока 10 ("Вебинар. Консультация по итоговому проекту") +ссылку на программу в github (программа должна содержаться в файле Jupyter Notebook +с расширением ipynb). (Pull request не нужен, только ссылка ведущая на сам скрипт). +2. Приложить файл с названием по образцу SShirkin_predictions.csv +с предсказанными ценами для квартир из test.csv (файл должен содержать два поля: Id, Price). +В файле с предсказаниями должна быть 5001 строка (шапка + 5000 предсказаний). + +Сроки и условия сдачи: +Дедлайн: сдать проект нужно в течение 72 часов после начала Урока 10 ("Вебинар. Консультация по итоговому проекту"). +Для успешной сдачи должны быть все предсказания (для 5000 квартир) и R2 должен быть больше 0.6. +При сдаче до дедлайна результат проекта может попасть в топ лучших результатов. +Повторная сдача и проверка результатов возможны только при условии предыдущей неуспешной сдачи. +Успешный проект нельзя пересдать в целях повышения результата. +Проекты, сданные после дедлайна или сданные повторно, не попадают в топ лучших результатов, но можно узнать результат. +В качестве итогового результата берется первый успешный результат, последующие успешные результаты не учитываются. + +Примечание: +Все файлы csv должны содержать названия полей (header - то есть "шапку"), +разделитель - запятая. В файлах не должны содержаться индексы из датафрейма. + +Рекомендации для файла с кодом (ipynb): +1. Файл должен содержать заголовки и комментарии +2. Повторяющиеся операции лучше оформлять в виде функций +3. Не делать вывод большого количества строк таблиц (5-10 достаточно) +4. По возможности добавлять графики, описывающие данные (около 3-5) +5. Добавлять только лучшую модель, то есть не включать в код все варианты решения проекта +6. Скрипт проекта должен отрабатывать от начала и до конца (от загрузки данных до выгрузки предсказаний) +7. Весь проект должен быть в одном скрипте (файл ipynb). +8. При использовании статистик (среднее, медиана и т.д.) в качестве признаков, +лучше считать их на трейне, и потом на валидационных и тестовых данных не считать +статистики заново, а брать их с трейна. Если хватает знаний, можно использовать кросс-валидацию, +но для сдачи этого проекта достаточно разбить данные из train.csv на train и valid. +9. Проект должен полностью отрабатывать за разумное время (не больше 10 минут), +поэтому в финальный вариант лучше не включать GridSearch с перебором +большого количества сочетаний параметров. +10. Допускается применение библиотек Python и моделей машинного обучения, +которые были в курсе Python для Data Science. Градиентный бустинг изучается +в последующих курсах, поэтому в этом проекте его применять не следует. +Самая сложная из допустимых моделей - RandomForestRegressor из sklearn. \ No newline at end of file diff --git a/Summary/Task1.ipynb b/Summary/Task1.ipynb new file mode 100644 index 0000000..b4af99f --- /dev/null +++ b/Summary/Task1.ipynb @@ -0,0 +1,2451 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "bf40b23b", + "metadata": {}, + "source": [ + "##
Итоговомый проект по курсу \"Библиотеки Python для Data Science\"" + ] + }, + { + "cell_type": "code", + "execution_count": 545, + "id": "11c07bca", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import warnings\n", + "\n", + "from math import ceil\n", + "from pylab import rcParams\n", + "from scipy import stats\n", + "from scipy.stats.mstats import winsorize\n", + "from sklearn.preprocessing import LabelEncoder, StandardScaler\n", + "from sklearn.model_selection import train_test_split, GridSearchCV\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.ensemble import RandomForestRegressor\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.metrics import r2_score as r2\n", + "\n", + "%matplotlib inline\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "plt.style.use('fivethirtyeight')\n", + "plt.rcParams['figure.figsize'] = 16, 8\n", + "\n", + "pd.options.display.max_columns = 100" + ] + }, + { + "cell_type": "code", + "execution_count": 546, + "id": "7b7c5ad6", + "metadata": { + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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IdDistrictIdRoomsSquareLifeSquareKitchenSquareFloorHouseFloorHouseYearEcology_1Ecology_2Ecology_3Social_1Social_2Social_3Healthcare_1Helthcare_2Shops_1Shops_2Price
3646923113.088.217099NaN0.01617.019770.007122BB12640NaN01B250572.554909
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7691175761.043.290147NaN0.0417.019770.243205BB515640540.000B127778.625888
855486091691.038.67914138.0921818.0317.019880.178917BB1835944192.015B201570.409690
98003868121.040.60824822.4473268.0517.019920.090799BB74190832NaN515B160082.475002
4495216623.087.00343491.3785451.031.020170.072158BB26291NaN00A225785.867439
8775186313.062.92176245.1227356.0109.019770.151346BA32588910830.041B264686.612297
934313538782.041.33836923.2660625.0814.019740.219006BB2867463NaN14B182874.017574
109111026181.038.18133223.0718198.0617.019990.000000BB3055620NaN05A192371.633485
14491626662.061.73572862.8986640.01617.019770.243205BB515640540.000B168514.435296
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" + ], + "text/plain": [ + " Id DistrictId Rooms Square LifeSquare KitchenSquare Floor \\\n", + "3646 9231 1 3.0 88.217099 NaN 0.0 16 \n", + "7096 496 62 3.0 84.356980 NaN 0.0 9 \n", + "7691 1757 6 1.0 43.290147 NaN 0.0 4 \n", + "8554 8609 169 1.0 38.679141 38.092181 8.0 3 \n", + "9800 3868 12 1.0 40.608248 22.447326 8.0 5 \n", + "4495 216 62 3.0 87.003434 91.378545 1.0 3 \n", + "877 5186 31 3.0 62.921762 45.122735 6.0 10 \n", + "9343 13538 78 2.0 41.338369 23.266062 5.0 8 \n", + "1091 11026 18 1.0 38.181332 23.071819 8.0 6 \n", + "1449 16266 6 2.0 61.735728 62.898664 0.0 16 \n", + "\n", + " HouseFloor HouseYear Ecology_1 Ecology_2 Ecology_3 Social_1 \\\n", + "3646 17.0 1977 0.007122 B B 1 \n", + "7096 0.0 1977 0.072158 B B 2 \n", + "7691 17.0 1977 0.243205 B B 5 \n", + "8554 17.0 1988 0.178917 B B 18 \n", + "9800 17.0 1992 0.090799 B B 74 \n", + "4495 1.0 2017 0.072158 B B 2 \n", + "877 9.0 1977 0.151346 B A 32 \n", + "9343 14.0 1974 0.219006 B B 28 \n", + "1091 17.0 1999 0.000000 B B 30 \n", + "1449 17.0 1977 0.243205 B B 5 \n", + "\n", + " Social_2 Social_3 Healthcare_1 Helthcare_2 Shops_1 Shops_2 \\\n", + "3646 264 0 NaN 0 1 B \n", + "7096 629 1 NaN 0 0 A \n", + "7691 1564 0 540.0 0 0 B \n", + "8554 3594 4 192.0 1 5 B \n", + "9800 19083 2 NaN 5 15 B \n", + "4495 629 1 NaN 0 0 A \n", + "877 5889 10 830.0 4 1 B \n", + "9343 6746 3 NaN 1 4 B \n", + "1091 5562 0 NaN 0 5 A \n", + "1449 1564 0 540.0 0 0 B \n", + "\n", + " Price \n", + "3646 250572.554909 \n", + "7096 172344.612792 \n", + "7691 127778.625888 \n", + "8554 201570.409690 \n", + "9800 160082.475002 \n", + "4495 225785.867439 \n", + "877 264686.612297 \n", + "9343 182874.017574 \n", + "1091 192371.633485 \n", + "1449 168514.435296 " + ] + }, + "execution_count": 546, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "train_data = pd.read_csv('train.csv')\n", + "\n", + "train_data.sample(10)" + ] + }, + { + "cell_type": "markdown", + "id": "98b1893e", + "metadata": {}, + "source": [ + "### Описание датасета\n", + "* Id - идентификационный номер квартиры\n", + "* DistrictId - идентификационный номер района\n", + "* Rooms - количество комнат\n", + "* Square - площадь\n", + "* LifeSquare - жилая площадь\n", + "* KitchenSquare - площадь кухни\n", + "* Floor - этаж\n", + "* HouseFloor - количество этажей в доме\n", + "* HouseYear - год постройки дома\n", + "* Ecology_1, Ecology_2, Ecology_3 - экологические показатели местности\n", + "* Social_1, Social_2, Social_3 - социальные показатели местности\n", + "* Healthcare_1, Helthcare_2 - показатели местности, связанные с охраной здоровья\n", + "* Shops_1, Shops_2 - показатели, связанные с наличием магазинов, торговых центров\n", + "* Price - цена квартиры" + ] + }, + { + "cell_type": "code", + "execution_count": 547, + "id": "c0cd274a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 10000 entries, 0 to 9999\n", + "Data columns (total 20 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Id 10000 non-null int64 \n", + " 1 DistrictId 10000 non-null int64 \n", + " 2 Rooms 10000 non-null float64\n", + " 3 Square 10000 non-null float64\n", + " 4 LifeSquare 7887 non-null float64\n", + " 5 KitchenSquare 10000 non-null float64\n", + " 6 Floor 10000 non-null int64 \n", + " 7 HouseFloor 10000 non-null float64\n", + " 8 HouseYear 10000 non-null int64 \n", + " 9 Ecology_1 10000 non-null float64\n", + " 10 Ecology_2 10000 non-null object \n", + " 11 Ecology_3 10000 non-null object \n", + " 12 Social_1 10000 non-null int64 \n", + " 13 Social_2 10000 non-null int64 \n", + " 14 Social_3 10000 non-null int64 \n", + " 15 Healthcare_1 5202 non-null float64\n", + " 16 Helthcare_2 10000 non-null int64 \n", + " 17 Shops_1 10000 non-null int64 \n", + " 18 Shops_2 10000 non-null object \n", + " 19 Price 10000 non-null float64\n", + "dtypes: float64(8), int64(9), object(3)\n", + "memory usage: 1.5+ MB\n" + ] + } + ], + "source": [ + "train_data.info()" + ] + }, + { + "cell_type": "markdown", + "id": "dcf90342-0cc1-48b3-91f6-508e9514a67c", + "metadata": {}, + "source": [ + "## Exploratory data analysis" + ] + }, + { + "cell_type": "markdown", + "id": "0e026dbc", + "metadata": {}, + "source": [ + "При изучении вещественных признаков необходимо ознакомиться с их основными статистиками используя функцию describe(). Исследуя ее показания можно понять где есть пропуски, с помощью count - если здесь не 10000, значит есть пропуски, по сравнению средней - mean с медианой - 50 персентилем можно судить о наличие выбросов при их существенных отличиях. Так же здесь стоит посмотреть на минимальные - максимальные значения, их сопоставления с другими статистиками даст представление о наличие некоректных значений в данных." + ] + }, + { + "cell_type": "code", + "execution_count": 548, + "id": "1af89b76-4248-460e-82e7-44abab0b9f74", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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IdDistrictIdRoomsSquareLifeSquareKitchenSquareFloorHouseFloorHouseYearEcology_1Social_1Social_2Social_3Healthcare_1Helthcare_2Shops_1Price
count10000.0000010000.00000010000.00000010000.0000007887.00000010000.00000010000.00000010000.0000001.000000e+0410000.00000010000.00000010000.00000010000.0000005202.00000010000.00000010000.00000010000.000000
mean8383.4077050.4008001.89050056.31577537.1996456.2733008.52670012.6094003.990166e+030.11885824.6870005352.1574008.0392001142.9044601.3195004.231300214138.857399
std4859.0190243.5875920.83951221.05873286.24120928.5609175.2411486.7759742.005003e+050.11902517.5326144006.79980323.8318751021.5172641.4936014.80634192872.293865
min0.000000.0000000.0000001.1368590.3706190.0000001.0000000.0000001.910000e+030.0000000.000000168.0000000.0000000.0000000.0000000.00000059174.778028
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50%8394.5000036.0000002.00000052.51331032.7812606.0000007.00000013.0000001.977000e+030.07542425.0000005285.0000002.000000900.0000001.0000003.000000192269.644879
75%12592.5000075.0000002.00000065.90062545.1288039.00000012.00000017.0000002.001000e+030.19578136.0000007227.0000005.0000001548.0000002.0000006.000000249135.462171
max16798.00000209.00000019.000000641.0651937480.5921292014.00000042.000000117.0000002.005201e+070.52186774.00000019083.000000141.0000004849.0000006.00000023.000000633233.466570
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" + ], + "text/plain": [ + " Id DistrictId Rooms Square LifeSquare \\\n", + "count 10000.00000 10000.000000 10000.000000 10000.000000 7887.000000 \n", + "mean 8383.40770 50.400800 1.890500 56.315775 37.199645 \n", + "std 4859.01902 43.587592 0.839512 21.058732 86.241209 \n", + "min 0.00000 0.000000 0.000000 1.136859 0.370619 \n", + "25% 4169.50000 20.000000 1.000000 41.774881 22.769832 \n", + "50% 8394.50000 36.000000 2.000000 52.513310 32.781260 \n", + "75% 12592.50000 75.000000 2.000000 65.900625 45.128803 \n", + "max 16798.00000 209.000000 19.000000 641.065193 7480.592129 \n", + "\n", + " KitchenSquare Floor HouseFloor HouseYear Ecology_1 \\\n", + "count 10000.000000 10000.000000 10000.000000 1.000000e+04 10000.000000 \n", + "mean 6.273300 8.526700 12.609400 3.990166e+03 0.118858 \n", + "std 28.560917 5.241148 6.775974 2.005003e+05 0.119025 \n", + "min 0.000000 1.000000 0.000000 1.910000e+03 0.000000 \n", + "25% 1.000000 4.000000 9.000000 1.974000e+03 0.017647 \n", + "50% 6.000000 7.000000 13.000000 1.977000e+03 0.075424 \n", + "75% 9.000000 12.000000 17.000000 2.001000e+03 0.195781 \n", + "max 2014.000000 42.000000 117.000000 2.005201e+07 0.521867 \n", + "\n", + " Social_1 Social_2 Social_3 Healthcare_1 Helthcare_2 \\\n", + "count 10000.000000 10000.000000 10000.000000 5202.000000 10000.000000 \n", + "mean 24.687000 5352.157400 8.039200 1142.904460 1.319500 \n", + "std 17.532614 4006.799803 23.831875 1021.517264 1.493601 \n", + "min 0.000000 168.000000 0.000000 0.000000 0.000000 \n", + "25% 6.000000 1564.000000 0.000000 350.000000 0.000000 \n", + "50% 25.000000 5285.000000 2.000000 900.000000 1.000000 \n", + "75% 36.000000 7227.000000 5.000000 1548.000000 2.000000 \n", + "max 74.000000 19083.000000 141.000000 4849.000000 6.000000 \n", + "\n", + " Shops_1 Price \n", + "count 10000.000000 10000.000000 \n", + "mean 4.231300 214138.857399 \n", + "std 4.806341 92872.293865 \n", + "min 0.000000 59174.778028 \n", + "25% 1.000000 153872.633942 \n", + "50% 3.000000 192269.644879 \n", + "75% 6.000000 249135.462171 \n", + "max 23.000000 633233.466570 " + ] + }, + "execution_count": 548, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "train_data.describe()" + ] + }, + { + "cell_type": "markdown", + "id": "bca1b1f0", + "metadata": {}, + "source": [ + "Анализ количества уникальных значений признаков позволит разделить их на количественные и номинальные" + ] + }, + { + "cell_type": "code", + "execution_count": 549, + "id": "94128e30-58aa-49c2-844d-68c63d5a6394", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NameCount
18Shops_22
10Ecology_22
11Ecology_32
16Helthcare_27
2Rooms9
17Shops_116
14Social_330
6Floor33
7HouseFloor44
12Social_151
5KitchenSquare58
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13Social_2142
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\n", + "
" + ], + "text/plain": [ + " Name Count\n", + "18 Shops_2 2\n", + "10 Ecology_2 2\n", + "11 Ecology_3 2\n", + "16 Helthcare_2 7\n", + "2 Rooms 9\n", + "17 Shops_1 16\n", + "14 Social_3 30\n", + "6 Floor 33\n", + "7 HouseFloor 44\n", + "12 Social_1 51\n", + "5 KitchenSquare 58\n", + "15 Healthcare_1 80\n", + "8 HouseYear 97\n", + "9 Ecology_1 129\n", + "13 Social_2 142\n", + "1 DistrictId 205\n", + "4 LifeSquare 7888\n", + "0 Id 10000\n", + "3 Square 10000\n", + "19 Price 10000" + ] + }, + "execution_count": 549, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# кол-во значений в признаках\n", + "# переведем признаки с небльшим кол-во значений в категориальные\n", + "pd.DataFrame({item:len(train_data[item].unique()) for item in train_data[train_data.columns.tolist()]}.items(), \\\n", + "columns = ['Name', 'Count']).sort_values(by='Count')" + ] + }, + { + "cell_type": "markdown", + "id": "fba0eb00-291b-435c-a3ad-a34553617f01", + "metadata": {}, + "source": [ + "### Класс конвейера\n", + "Данный класс предназначен для интеграции операций трансформации данных,обучения модели на них и предсказания целевой перменной, а также визуализации данных. Инициализация объекта класса задает основные стат. параметры и загружает тренеровочный и тестовый набор данных, метод transform выполняет нормализацию и стандартизацию данных, методы fit и predict выполняют обучение модели и предсказание зависимой переменной на ней, методы plot, scatterplot, boxplot, corrplot отвечают за визуализацию данных в виде схем и графиков, вспомогательные методы _transform_cat_, _transform_num_ нормализуют номинальные и количественные признаки, а метод _resize_ рекурсивно понижает размерность данных, позволяя модели проводить более эффективное обучение.\n", + "Вспомогательные класс DataFrame расширяет стандартную функциональность Pandas вводя в стандартную реализацию количественные и категориальные признаки, класс Features обеспечивает создание дополнительных признаков, выполняя, в том числе, target кодирование на обучающем наборе и перенося его на тестовый." + ] + }, + { + "cell_type": "code", + "execution_count": 550, + "id": "9b6514e4-7ab1-4d40-95c5-e7a949cd44f7", + "metadata": {}, + "outputs": [], + "source": [ + "class DataFrame(pd.DataFrame):\n", + " \"\"\"расширение DataFrame\"\"\"\n", + " @property \n", + " def column_num(self):\n", + " \"\"\"количественные признаки\"\"\"\n", + " return self[self.columns.tolist()].select_dtypes(include=['uint8', 'int32', 'int64', 'float32', 'float64']).columns.tolist()\n", + " \n", + " @property \n", + " def column_cat(self):\n", + " \"\"\"номинативные признаки\"\"\"\n", + " return self[self.columns.tolist()].select_dtypes(include=['object', 'category']).columns.tolist() \n", + " \n", + "class DataPipeline: \n", + " def __init__(self, **kwargs):\n", + " \"\"\"Инициализация класса\"\"\" \n", + " # уровень стат значимости\n", + " self.alpha = 0.05\n", + " # срнднйи уровень корреляции\n", + " self.corr = 0.7\n", + " # объясненная дисперсия компонента\n", + " self.varatio = 0.8\n", + " # пороговое значение в три сигмы\n", + " self.threashold = 3 \n", + " # пропорции деления набора\n", + " self.test_size = 0.33\n", + " \n", + " # параметры класса\n", + " for key, value in kwargs.items():\n", + " setattr(self, key, value) \n", + " \n", + " assert self.target is not None \n", + " assert self.feature is not None \n", + " \n", + " # загрузка обучения \n", + " assert self.train_file is not None\n", + " self.train_data = DataFrame(pd.read_csv(self.train_file))\n", + " # загрузка теста\n", + " assert self.test_file is not None \n", + " self.test_data = DataFrame(pd.read_csv(self.test_file)) \n", + " \n", + " def sc_data(func):\n", + " \"\"\"Декоратор стандартизации\"\"\"\n", + " def wrapper(self): \n", + " scaler = StandardScaler() \n", + " # стандартизация обучения \n", + " self.sc_train_data = func(self, self.train_data)\n", + " # нормированная целевая переменная\n", + " self.train_data[self.target] = self.sc_train_data[self.target]\n", + " # исключение целевой переменной из количественных признаков\n", + " column = [item for item in self.sc_train_data.column_num if item != self.target] \n", + " # стандартизация признаков \n", + " self.sc_train_data = DataFrame(pd.concat([DataFrame(scaler.fit_transform(self.sc_train_data[column]), columns=column),\\\n", + " self.sc_train_data[self.sc_train_data.column_cat]], axis=1)) \n", + " print(\"train resize\")\n", + " # понижение размерности \n", + " self.sc_train_data = DataFrame(self._resize_(self.sc_train_data)) \n", + " \n", + " # стандартизация теста \n", + " self.sc_test_data = func(self, self.test_data) \n", + " # стандартизация признаков \n", + " self.sc_test_data = DataFrame(pd.concat([DataFrame(scaler.transform(self.sc_test_data[self.sc_test_data.column_num]),\\\n", + " columns=self.sc_test_data.column_num), self.sc_test_data[self.sc_test_data.column_cat]], axis=1)) \n", + " print(\"test resize\") \n", + " # понижение размерности \n", + " self.sc_test_data = DataFrame(self._resize_(self.sc_test_data)) \n", + " \n", + " return wrapper \n", + " \n", + " @sc_data\n", + " def transform(self, data): \n", + " \"\"\"Трансформация данных\"\"\" \n", + " # удаляем id\n", + " data.drop(\"Id\", axis=1, inplace=True, errors=\"ignore\") \n", + " # значений не много переводим в категориальный тип\n", + " data.DistrictId = data.DistrictId.astype(\"category\") \n", + " data.Social_3 = data.Social_3.astype(\"category\") \n", + " data.Helthcare_2 = data.Helthcare_2.astype(\"category\") \n", + " \n", + " # заменяем inf на nan тогда моедль сможет их предсказать\n", + " data.replace([np.inf, -np.inf], np.nan, inplace = True)\n", + " \n", + " # добавление признаков\n", + " data = self.feature.create(data, self.target) \n", + "\n", + " # обработка номинальных признаков\n", + " for item in data.column_cat: \n", + " data = self._transform_cat_(data, item) \n", + " \n", + " # обработка количественных признаков\n", + " for item in data.column_num:\n", + " data = self._transform_num_(data, item) \n", + " \n", + " return data\n", + " \n", + " def _transform_cat_(self, data, column):\n", + " \"\"\"Трансформация номинальных признаков\"\"\" \n", + " # заменяем пропуски модой \n", + " data[column] = data[column].fillna(data[column].mode()[0]) \n", + " # кодируем признак\n", + " data[column] = LabelEncoder().fit_transform(data[column])\n", + " # возвращаем тип признака из числового после кодирования\n", + " data[column] = data[column].astype(\"category\")\n", + " \n", + " return data\n", + " \n", + " def _transform_num_(self, data, column): \n", + " \"\"\"Трансформация количественных признаков\"\"\" \n", + " # пробуем предсказать пропуски \n", + " cdata = DataFrame(data.copy()) \n", + " # запомнинание пропусков \n", + " cdata['isna'] = np.where(cdata[column].isna(), True, False) \n", + " # заполнение пропусков в копии, т.к моедель не работает с ними\n", + " for item in cdata.column_cat:\n", + " cdata[item] = cdata.fillna(cdata[item].mode()) \n", + " for item in cdata.column_num:\n", + " cdata[item] = cdata.fillna(cdata[item].mean()) \n", + " # предсказание пропусков если можно сформировать обучающий и тестовый набор\n", + " if True in cdata['isna'].values and False in cdata['isna'].values:\n", + " # используем простую модель\n", + " model = LinearRegression()\n", + " # формируем тестовый и обучающий набор\n", + " X_test = cdata[cdata['isna']==True][[item for item in cdata.columns if item != column]]\n", + " X_train = cdata[cdata['isna']==False][[item for item in cdata.columns if item != column]] \n", + " y_train = cdata[cdata['isna']==False][[column]] \n", + " # обучение модели\n", + " model.fit(X_train, y_train)\n", + " # выполняем предсказание пропущенного прзнака \n", + " data.loc[cdata['isna'], [column]] = model.predict(X_test) \n", + " \n", + " # очень странно, если не трогать целевую переменную или выполнить её винсоризацию,\n", + " # то результат обучения модели существенно лучше, хотя мат статистика по ней хуже чем после zscore?\n", + " # bins по целевой переменной решает проблему статистики, но предсказание модели теперь имеют погрешность бина\n", + " if column == self.target: \n", + " data[column] = data[column] // 10000 * 10000\n", + " # data[column] = winsorize(data[column], limits=[0.1, 0.1]) \n", + " \n", + " # обработка выбрасов, вычисляем z-Score в цикле пока не подавим их все \n", + " while column != self.target: \n", + " z = np.abs(stats.zscore(data[column])) \n", + " if not z[z > self.threashold].any():\n", + " break \n", + " # среднее если данные имеют нормальное распределение, иначе медиана \n", + " if stats.shapiro(data[column].values.reshape(-1))[1] > self.alpha: \n", + " data.loc[z > self.threashold, column] = data[column].mean() \n", + " else: \n", + " data.loc[z > self.threashold, column] = data[column].median() \n", + " \n", + " return data \n", + " \n", + " def _resize_(self, data, level = 0):\n", + " \"\"\"понижение размерности\"\"\" \n", + " m_corr, level = data.corr(), level + 1 \n", + " for item in m_corr.columns: \n", + " # поиск взаимокорреляции признаков по матрице\n", + " column = list(m_corr[m_corr[item] > self.corr].index)\n", + " # корреляция не с самим собой и не одни компоненты \n", + " if len(column) > 1 and not all('component' in item for item in column):\n", + " dim_reducer = PCA(n_components=1, random_state=42) \n", + " components = dim_reducer.fit_transform(data[column]) \n", + " # уровень дисперсии достаточен для свертывания\n", + " if dim_reducer.explained_variance_ratio_ >= self.varatio:\n", + " data = DataFrame(pd.concat([data.drop(column, axis=1),\\\n", + " pd.DataFrame(data = components, columns = [f'component_{level}'])], axis=1)) \n", + " # результат свертки\n", + " print(f'{column} -> component_{level} var:{dim_reducer.explained_variance_ratio_}')\n", + " # рекурсивный поиск компонент\n", + " return self._resize_(data, level) \n", + " return data \n", + " \n", + " def split(self, X, y):\n", + " \"\"\"Разделение набора\"\"\" \n", + " return train_test_split(X, y, test_size=self.test_size, random_state=42)\n", + " \n", + " def search_param(self, data):\n", + " \"\"\"Поиск гиперпараметров\"\"\" \n", + " params = {\n", + " 'criterion': ['squared_error', 'absolute_error', 'friedman_mse', 'poisson', 'gini', 'entropy'],\n", + " 'n_estimators': [item for item in range(10, 100, 10)], \n", + " 'max_depth': [item for item in range(1, 10, 2)],\n", + " 'max_features': [item for item in range(1, 10, 2)],\n", + " 'min_samples_leaf': [item for item in range(1, 10, 2)],\n", + " }\n", + "\n", + " clf = GridSearchCV(\n", + " estimator=RandomForestRegressor(random_state=42),\n", + " param_grid=params, \n", + " scoring='r2',\n", + " n_jobs=-1,\n", + " cv=5\n", + " ) \n", + " # формируем X и y из обучающего набора\n", + " X_train, X_valid, y_train, y_valid = self.split(self.sc_train_data, self.train_data[self.target])\n", + " # искать праметры лучше на всеъ данных\n", + " clf.fit(pd.concat([X_train, X_valid]), pd.concat([y_train, y_valid]))\n", + " \n", + " return clf.best_params_\n", + " \n", + " def fit(self, model, data):\n", + " \"\"\"Обучение модели\"\"\" \n", + " # разделение набора на обучающий и проверочный\n", + " X_train, X_valid, y_train, y_valid = self.split(data[[item for item in data.columns if item != self.target]],\\\n", + " data[self.target])\n", + " \n", + " model.fit(X_train, y_train) \n", + " \n", + " return model\n", + " \n", + " def predict(self, model, data):\n", + " \"\"\"Предсказание зависимой переменной\"\"\" \n", + " return model.predict(data) \n", + " \n", + " def importances(self, model, data):\n", + " \"\"\"оценка признаков модели\"\"\" \n", + " columns = [item for item in data.columns if item != self.target]\n", + " \n", + " return pd.DataFrame(zip(columns, model.feature_importances_),\\\n", + " columns = ['name', 'value']).sort_values(by = 'value', ascending = False) \n", + " \n", + " def scatterplot(self, model, data):\n", + " \"\"\"график scatterplot качесива модели\"\"\" \n", + " X_train, X_valid, y_train, y_valid = self.split(data[[item for item in data.columns if item != self.target]],\\\n", + " data[self.target])\n", + "\n", + " y_pred = self.predict(model, X_train)\n", + "\n", + " plt.subplot(121)\n", + " plt.xlabel('Predicted values')\n", + " plt.ylabel('True values') \n", + " plt.title(f\"train R2:{round(r2(y_train, y_pred), 3)}\")\n", + " sns.scatterplot(x = y_train, y = y_pred)\n", + " \n", + " y_pred = self.predict(model, X_valid) \n", + "\n", + " plt.subplot(122)\n", + " plt.xlabel('Predicted values')\n", + " plt.ylabel('True values') \n", + " plt.title(f\"valid R2:{round(r2(y_valid, y_pred), 3)}\")\n", + " sns.scatterplot(x = y_valid, y = y_pred)\n", + "\n", + " plt.show() \n", + " \n", + " def plot(self, data): \n", + " \"\"\"график plot\"\"\" \n", + " data[[item for item in data.column_num if item != self.target]].hist(figsize=(16,16), bins=20, grid=False);\n", + " \n", + " plt.figure(figsize = (16, 8))\n", + " sns.distplot(data[self.target], bins=50) \n", + " \n", + " target_mean = round(data[self.target].mean(), 2)\n", + " target_median = data[self.target].median()\n", + " target_mode = data[self.target].mode()[0] \n", + "\n", + " y = np.linspace(0, 0.000005, 10)\n", + " plt.plot([target_mean] * 10, y, label='mean', linestyle=':', linewidth=4)\n", + " plt.plot([target_median] * 10, y, label='median', linestyle='--', linewidth=4)\n", + " plt.plot([target_mode] * 10, y, label='mode', linestyle='-.', linewidth=4)\n", + "\n", + " plt.title(f'Distribution of {self.target}')\n", + " plt.legend() \n", + " plt.show() \n", + "\n", + " def boxplot(self, data):\n", + " \"\"\"график box-plot\"\"\" \n", + " data.boxplot(column = [item for item in data.column_num], grid = False, rot = 45)\n", + " \n", + " def corrplot(self, data):\n", + " \"\"\"график корреляции\"\"\" \n", + " plt.title('Корреляционная матрица')\n", + " sns.heatmap(data.corr(), annot = True)\n", + " plt.show() \n", + " \n", + "class Features:\n", + " \"\"\"Генератор признаков\"\"\" \n", + " def create(self, data, target):\n", + " # кол-во комант по этажности в районах \n", + " data = data.merge(data.groupby(['DistrictId', 'HouseFloor'], as_index=True).agg({'Rooms':'sum'}).\\\n", + " rename(columns={'Rooms':'RoomsByDistrict'}), on=['DistrictId', 'HouseFloor'], how='left') \n", + " \n", + " # экология в районах\n", + " data = data.merge(data.groupby(['DistrictId', 'Ecology_2'], as_index=True).agg({'Ecology_1':'sum'}).\\\n", + " rename(columns={'Ecology_1':'EcologyByDistrict'}), on=['DistrictId', 'Ecology_2'], how='left') \n", + " \n", + " # кол-во магазинов различного типа в районах\n", + " data = data.merge(data.groupby(['DistrictId', 'Shops_2'], as_index=True).agg({'Shops_1':'sum'}).\\\n", + " rename(columns={'Shops_1':'ShopsByDistrict'}), on=['DistrictId', 'Shops_2'], how='left') \n", + " \n", + " # размер района\n", + " data = data.merge(data['DistrictId'].value_counts().reset_index().\\\n", + " rename(columns={'index':'DistrictId', 'DistrictId':'DistrictSize'}), on=['DistrictId'], how='left')\n", + " \n", + " data['DistrictSize'] = np.where(data['DistrictSize'] > 100, True, False) \n", + " \n", + " # Категории домов по году строительства\n", + " data['HouseYearCat'] = pd.cut(data['HouseYear'], bins=[data['HouseYear'].min() - 1,\\\n", + " 1941, 1945, 1980, 2000, 2010,\\\n", + " data['HouseYear'].max() + 1], labels=False).astype(\"category\") \n", + " \n", + " data = data.merge(data.groupby(['DistrictId'], as_index=False).agg({'HouseYearCat':'count'}).\\\n", + " rename(columns={'HouseYearCat':'HouseCountByDistrict'}), on=['DistrictId'], how='left') \n", + " \n", + " # высота района\n", + " data = data.merge(data.groupby(['DistrictId'], as_index=False).agg({'HouseFloor':'sum'}).\\\n", + " rename(columns={'HouseFloor':'HeightByDistrict'}), on=['DistrictId'], how='left') \n", + " \n", + " # Средняя площадь комнаты по районам\n", + " data = data.merge(data.groupby(['DistrictId'], as_index=True).agg({'Square':'sum', 'Rooms':'sum'}).\\\n", + " rename(columns={'Square':'SumSquareByDistrict', 'Rooms':'SumRoomsByDistrict'}),\\\n", + " on=['DistrictId'], how='left') \n", + " \n", + " data[\"RoomsSquareByDistrict\"] = data[\"SumSquareByDistrict\"] / data[\"SumRoomsByDistrict\"] \n", + " data.drop([\"SumSquareByDistrict\", \"SumRoomsByDistrict\"], axis=1, inplace=True) \n", + " \n", + " # Мед обслуживание по районам\n", + " data = data.merge(data.groupby(['DistrictId', 'Social_3'], as_index=True).agg({'Social_1':'sum', 'Social_2':'sum'}).\\\n", + " rename(columns={'Social_1':'SumSocial_1', 'Social_2':'SumSocial_2'}),\\\n", + " on=['DistrictId', 'Social_3'], how='left') \n", + " \n", + " data[\"SocialByDistrict\"] = data[\"SumSocial_2\"] / data[\"SumSocial_1\"] \n", + " data.drop([\"SumSocial_1\", \"SumSocial_2\"], axis=1, inplace=True) \n", + " \n", + " # dummies кодирование для признаков с двумя значениями\n", + " columns = ['DistrictSize', 'Ecology_2', 'Ecology_3', 'Shops_2']\n", + " data = pd.get_dummies(data, columns=columns)\n", + " \n", + " for item in data.columns:\n", + " if any(column for column in columns if column in item):\n", + " data[item] = data[item].astype(\"category\") \n", + " \n", + " # target кодирование\n", + " if target in data.columns: \n", + " # средняя цена за квадратный метр по району\n", + " self.SquareAvgPriceByDistrict = data.groupby(['DistrictId', 'HouseFloor'], as_index=True).\\\n", + " agg({'Square':'sum', 'Price':'sum'}).rename(columns={'Square':'SumSquareByDistrict', 'Price':'SumPriceByDistrict'}) \n", + " self.SquareAvgPriceByDistrict['SquareAvgPriceByDistrict'] = self.SquareAvgPriceByDistrict['SumPriceByDistrict'] \\\n", + " / self.SquareAvgPriceByDistrict['SumSquareByDistrict'] \n", + " self.SquareAvgPriceByDistrict.drop([\"SumSquareByDistrict\", \"SumPriceByDistrict\"], axis=1, inplace=True) \n", + " # стоимость домов по году строительства на районе\n", + " self.HouseYearPriceByDistrict = data.groupby(['DistrictId', 'HouseYear'], as_index=True).\\\n", + " agg({'Price':'median'}).rename(columns={'Price':'YearPriceByDistrict'}) \n", + " # стоимость комнат по районам\n", + " self.HouseRoomsPriceByDistrict = data.groupby(['DistrictId', 'Rooms'], as_index=True).\\\n", + " agg({'Price':'median'}).rename(columns={'Price':'RoomsPriceByDistrict'}) \n", + "\n", + " # добавляем расчитанные на train данные в набор \n", + " data = data.merge(self.SquareAvgPriceByDistrict, on=['DistrictId', 'HouseFloor'], how='left') \n", + " data = data.merge(self.HouseYearPriceByDistrict, on=['DistrictId', 'HouseYear'], how='left')\n", + " data = data.merge(self.HouseRoomsPriceByDistrict, on=['DistrictId', 'Rooms'], how='left') \n", + " \n", + " return DataFrame(data) " + ] + }, + { + "cell_type": "code", + "execution_count": 551, + "id": "bcf17f37-11ee-430c-ad10-d0bc1303ec31", + "metadata": {}, + "outputs": [], + "source": [ + "# создамие конвейера\n", + "pipeline = DataPipeline(feature=Features(), train_file=\"train.csv\", test_file=\"test.csv\", target='Price')" + ] + }, + { + "cell_type": "markdown", + "id": "03683910", + "metadata": {}, + "source": [ + "Визулизация признаков и целевой переменной." + ] + }, + { + "cell_type": "code", + "execution_count": 552, + "id": "83adb7ed", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pipeline.plot(pipeline.train_data)" + ] + }, + { + "cell_type": "markdown", + "id": "7c707f1f", + "metadata": {}, + "source": [ + "Целевая переменная вещественная, для ее предсказания используем регрессию, перед этим нормализуем и стандартизируем данные, попутно пытаемся понизить их размерность." + ] + }, + { + "cell_type": "code", + "execution_count": 553, + "id": "8067f6fd", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "train resize\n", + "['Rooms', 'Square'] -> component_1 var:[0.88669833]\n", + "['Social_1', 'Social_2'] -> component_2 var:[0.94198465]\n", + "['HouseCountByDistrict', 'HeightByDistrict'] -> component_3 var:[0.98596368]\n", + "test resize\n", + "['Rooms', 'Square'] -> component_1 var:[0.88488028]\n", + "['Social_1', 'Social_2'] -> component_2 var:[0.94139093]\n", + "['HouseCountByDistrict', 'HeightByDistrict'] -> component_3 var:[0.98718295]\n" + ] + } + ], + "source": [ + "# подготовка признаков\n", + "pipeline.transform()\n", + "# масштабированный и нормализованный набор\n", + "df = DataFrame(pd.concat([pipeline.sc_train_data, pipeline.train_data[pipeline.target]], axis=1))" + ] + }, + { + "cell_type": "code", + "execution_count": 554, + "id": "66c1f299", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " LifeSquare KitchenSquare Floor HouseFloor HouseYear Ecology_1 \\\n", + "2449 0.600234 -1.219789 2.386156 1.935682 1.763071 1.103663 \n", + "9981 -0.090708 0.622554 0.345241 -0.080492 -0.440038 -1.009373 \n", + "377 0.230786 1.148937 2.794339 1.470411 0.936905 -0.220864 \n", + "8645 0.549604 0.622554 0.753424 0.229689 0.551361 0.893358 \n", + "6723 -1.071021 0.359362 0.345241 0.539869 0.606439 0.888437 \n", + "\n", + " Healthcare_1 Shops_1 RoomsByDistrict EcologyByDistrict \\\n", + "2449 0.660468 -1.084587 0.076967 -0.401722 \n", + "9981 -0.106347 -0.111514 0.593816 -0.840948 \n", + "377 -0.574104 -0.111514 -0.310669 -0.255298 \n", + "8645 -0.699350 0.212843 1.799795 1.599974 \n", + "6723 2.986472 1.185916 -0.655234 -0.497811 \n", + "\n", + " ShopsByDistrict RoomsSquareByDistrict SocialByDistrict \\\n", + "2449 -1.219583 0.907607 2.150067 \n", + "9981 0.909901 -1.448669 0.017653 \n", + "377 -0.251636 -0.706795 0.829581 \n", + "8645 0.855560 -0.543170 0.526263 \n", + "6723 -0.815423 -1.502954 -0.250580 \n", + "\n", + " SquareAvgPriceByDistrict YearPriceByDistrict RoomsPriceByDistrict \\\n", + "2449 -0.908746 -0.081941 -1.214325 \n", + "9981 0.278467 0.637729 0.492088 \n", + "377 0.661131 1.089153 2.031409 \n", + "8645 0.398318 -0.050616 1.568082 \n", + "6723 0.281368 -1.459336 -0.481426 \n", + "\n", + " DistrictId Social_3 Helthcare_2 HouseYearCat DistrictSize_False \\\n", + "2449 6 0 0 5 0 \n", + "9981 77 1 1 2 1 \n", + "377 57 2 5 4 0 \n", + "8645 8 3 1 3 0 \n", + "6723 130 6 4 3 1 \n", + "\n", + " DistrictSize_True Ecology_2_A Ecology_2_B Ecology_3_A Ecology_3_B \\\n", + "2449 1 0 1 0 1 \n", + "9981 0 0 1 0 1 \n", + "377 1 0 1 0 1 \n", + "8645 1 0 1 0 1 \n", + "6723 0 0 1 0 1 \n", + "\n", + " Shops_2_A Shops_2_B component_1 component_2 component_3 Price \n", + "2449 0 1 -1.358742 -1.498166 1.707072 130000.0 \n", + "9981 0 1 0.053775 1.892321 -1.062556 240000.0 \n", + "377 0 1 0.299312 2.023832 -0.697852 310000.0 \n", + "8645 0 1 2.048137 0.458684 -0.520956 140000.0 \n", + "6723 1 0 -2.079278 -0.275284 -1.128296 110000.0 " + ] + }, + "execution_count": 554, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.sample(5)" + ] + }, + { + "cell_type": "markdown", + "id": "4cc9d294", + "metadata": {}, + "source": [ + "Визуализация признаков и целевой переменной после нормализации и стандортизации." + ] + }, + { + "cell_type": "code", + "execution_count": 555, + "id": "1efe8834-6b96-4a93-ba52-c0a59482bc3c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# распределение количественных признаков в исходных данных \n", + "# целевой переменной и ее статистические данные\n", + "pipeline.plot(df)" + ] + }, + { + "cell_type": "markdown", + "id": "3e7c70d5", + "metadata": {}, + "source": [ + "После обработки количественные признаки приняли соразмерный формат выбросы в них подавлены." + ] + }, + { + "cell_type": "code", + "execution_count": 556, + "id": "0039545f-42bd-4bca-a17e-8326b5d3912e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# визуализация выбросов после обработки признаков\n", + "pipeline.boxplot(pipeline.sc_train_data)" + ] + }, + { + "cell_type": "markdown", + "id": "fe0e3243", + "metadata": {}, + "source": [ + "Корреляционная матрица позволит убедиться в устранении взаимокрреляции признаков, уровень которой устанволен при инициализации объекта класса в свойстве corr." + ] + }, + { + "cell_type": "code", + "execution_count": 557, + "id": "282ceb2a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# корреляция признаков с целевой переменной их сильные взаимокорреляции устранены PCA\n", + "pipeline.corrplot(df)" + ] + }, + { + "cell_type": "markdown", + "id": "b8a44581", + "metadata": {}, + "source": [ + "Выполнение обучения модели и предсказание целевой переменной. Оценка качества обучения демонстрирует не плохие результаты, но как видно из анализа признаков модели, они были достигнуты благодоря target кодированию, что не позволяет говорить об устойчивости модели при предсказании на случайной выборке данных." + ] + }, + { + "cell_type": "code", + "execution_count": 558, + "id": "3a967c73", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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namevalue
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15RoomsPriceByDistrict0.208760
28component_10.184903
13SquareAvgPriceByDistrict0.120128
0LifeSquare0.073099
30component_30.034687
29component_20.022496
8RoomsByDistrict0.016991
1KitchenSquare0.015656
4HouseYear0.010767
17Social_30.010765
9EcologyByDistrict0.009269
6Healthcare_10.009049
3HouseFloor0.008018
16DistrictId0.007469
11RoomsSquareByDistrict0.006808
2Floor0.006152
21DistrictSize_True0.005980
10ShopsByDistrict0.005816
5Ecology_10.004555
12SocialByDistrict0.004504
7Shops_10.003223
19HouseYearCat0.002990
18Helthcare_20.002341
20DistrictSize_False0.001658
25Ecology_3_B0.000335
27Shops_2_B0.000269
24Ecology_3_A0.000263
26Shops_2_A0.000201
22Ecology_2_A0.000059
23Ecology_2_B0.000045
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" + ], + "text/plain": [ + " name value\n", + "14 YearPriceByDistrict 0.222744\n", + "15 RoomsPriceByDistrict 0.208760\n", + "28 component_1 0.184903\n", + "13 SquareAvgPriceByDistrict 0.120128\n", + "0 LifeSquare 0.073099\n", + "30 component_3 0.034687\n", + "29 component_2 0.022496\n", + "8 RoomsByDistrict 0.016991\n", + "1 KitchenSquare 0.015656\n", + "4 HouseYear 0.010767\n", + "17 Social_3 0.010765\n", + "9 EcologyByDistrict 0.009269\n", + "6 Healthcare_1 0.009049\n", + "3 HouseFloor 0.008018\n", + "16 DistrictId 0.007469\n", + "11 RoomsSquareByDistrict 0.006808\n", + "2 Floor 0.006152\n", + "21 DistrictSize_True 0.005980\n", + "10 ShopsByDistrict 0.005816\n", + "5 Ecology_1 0.004555\n", + "12 SocialByDistrict 0.004504\n", + "7 Shops_1 0.003223\n", + "19 HouseYearCat 0.002990\n", + "18 Helthcare_2 0.002341\n", + "20 DistrictSize_False 0.001658\n", + "25 Ecology_3_B 0.000335\n", + "27 Shops_2_B 0.000269\n", + "24 Ecology_3_A 0.000263\n", + "26 Shops_2_A 0.000201\n", + "22 Ecology_2_A 0.000059\n", + "23 Ecology_2_B 0.000045" + ] + }, + "execution_count": 558, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%%time\n", + "# определение оптимальных гипрепараметров модели\n", + "#params = pipeline.search_param(pipeline.train_data)\n", + "\n", + "#print(params)\n", + "\n", + "params = {'criterion': 'friedman_mse', 'max_depth': 9, 'max_features': 9, 'n_estimators': 90, 'random_state': 42}\n", + "# обучение модели\n", + "model = pipeline.fit(RandomForestRegressor(**params), df)\n", + "# оценка результата обучения\n", + "pipeline.scatterplot(model, df)\n", + "# влияние признаков на процесс обучения\n", + "pipeline.importances(model, df)" + ] + }, + { + "cell_type": "markdown", + "id": "2fa16a5e", + "metadata": {}, + "source": [ + "Предсказание цены квартиры на тестовом наборе" + ] + }, + { + "cell_type": "code", + "execution_count": 559, + "id": "0e82410f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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DistrictIdRoomsSquareLifeSquareKitchenSquareFloorHouseFloorHouseYearEcology_1Ecology_2Ecology_3Social_1Social_2Social_3Healthcare_1Helthcare_2Shops_1Shops_2Price
0582.049.88264333.4327826.0614.019720.310199BB1127481NaN00B208530.845687
1742.069.263183NaN1.061.019770.075779BB614373NaN02B232473.355845
21901.013.59781915.94824612.025.019090.000000BB307538874702.055B156448.612993
3472.073.04660951.9408429.02222.020070.101872BB2345833NaN33B299506.056947
4271.047.52711143.3875691.01717.020170.072158BB26291NaN00A124537.204085
............................................................
4995113.067.13391150.8097976.059.019730.000170BB3659920NaN11B244117.454106
499611.040.19847221.80706110.01217.020170.007122BB12640NaN01B137101.692748
4997123.077.84217848.2826259.02322.019890.090799BB74190832NaN515B298158.729120
4998622.081.305222NaN0.040.019770.072158BB26291NaN00A179258.420078
4999302.060.555693NaN1.01017.019770.000078BB2263981411046.0323B166579.305883
\n", + "

5000 rows × 19 columns

\n", + "
" + ], + "text/plain": [ + " DistrictId Rooms Square LifeSquare KitchenSquare Floor \\\n", + "0 58 2.0 49.882643 33.432782 6.0 6 \n", + "1 74 2.0 69.263183 NaN 1.0 6 \n", + "2 190 1.0 13.597819 15.948246 12.0 2 \n", + "3 47 2.0 73.046609 51.940842 9.0 22 \n", + "4 27 1.0 47.527111 43.387569 1.0 17 \n", + "... ... ... ... ... ... ... \n", + "4995 11 3.0 67.133911 50.809797 6.0 5 \n", + "4996 1 1.0 40.198472 21.807061 10.0 12 \n", + "4997 12 3.0 77.842178 48.282625 9.0 23 \n", + "4998 62 2.0 81.305222 NaN 0.0 4 \n", + "4999 30 2.0 60.555693 NaN 1.0 10 \n", + "\n", + " HouseFloor HouseYear Ecology_1 Ecology_2 Ecology_3 Social_1 \\\n", + "0 14.0 1972 0.310199 B B 11 \n", + "1 1.0 1977 0.075779 B B 6 \n", + "2 5.0 1909 0.000000 B B 30 \n", + "3 22.0 2007 0.101872 B B 23 \n", + "4 17.0 2017 0.072158 B B 2 \n", + "... ... ... ... ... ... ... \n", + "4995 9.0 1973 0.000170 B B 36 \n", + "4996 17.0 2017 0.007122 B B 1 \n", + "4997 22.0 1989 0.090799 B B 74 \n", + "4998 0.0 1977 0.072158 B B 2 \n", + "4999 17.0 1977 0.000078 B B 22 \n", + "\n", + " Social_2 Social_3 Healthcare_1 Helthcare_2 Shops_1 Shops_2 \\\n", + "0 2748 1 NaN 0 0 B \n", + "1 1437 3 NaN 0 2 B \n", + "2 7538 87 4702.0 5 5 B \n", + "3 4583 3 NaN 3 3 B \n", + "4 629 1 NaN 0 0 A \n", + "... ... ... ... ... ... ... \n", + "4995 5992 0 NaN 1 1 B \n", + "4996 264 0 NaN 0 1 B \n", + "4997 19083 2 NaN 5 15 B \n", + "4998 629 1 NaN 0 0 A \n", + "4999 6398 141 1046.0 3 23 B \n", + "\n", + " Price \n", + "0 208530.845687 \n", + "1 232473.355845 \n", + "2 156448.612993 \n", + "3 299506.056947 \n", + "4 124537.204085 \n", + "... ... \n", + "4995 244117.454106 \n", + "4996 137101.692748 \n", + "4997 298158.729120 \n", + "4998 179258.420078 \n", + "4999 166579.305883 \n", + "\n", + "[5000 rows x 19 columns]" + ] + }, + "execution_count": 559, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# предсказание целевой переменой в test\n", + "pd.concat([pipeline.test_data, pd.DataFrame(data = pipeline.predict(model, pipeline.sc_test_data),\\\n", + " columns = [pipeline.target])], axis=1) " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e06d922a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Summary/requirements.txt b/Summary/requirements.txt new file mode 100644 index 0000000000000000000000000000000000000000..69255160cda0ff94db9a123625c64bafce86ae7d GIT binary patch literal 118 zcmYj|I}UCx|;@hBe34+Q~%;5J@fePCj2UNW<@_f?olY}$j7LA&B9oIeUO#ze%a btLopf(L(;rE;ju}In#PwTbVk$-ev+1hF2C@ literal 0 HcmV?d00001 diff --git a/Summary/test.csv b/Summary/test.csv new file mode 100644 index 0000000..64dba09 --- /dev/null +++ b/Summary/test.csv @@ -0,0 +1,5001 @@ +Id,DistrictId,Rooms,Square,LifeSquare,KitchenSquare,Floor,HouseFloor,HouseYear,Ecology_1,Ecology_2,Ecology_3,Social_1,Social_2,Social_3,Healthcare_1,Helthcare_2,Shops_1,Shops_2 +725,58,2.0,49.8826433899298,33.43278170333575,6.0,6,14.0,1972,0.31019913,B,B,11,2748,1,,0,0,B +15856,74,2.0,69.26318347353308,,1.0,6,1.0,1977,0.075778755,B,B,6,1437,3,,0,2,B +5480,190,1.0,13.597818501304127,15.94824639560224,12.0,2,5.0,1909,0.0,B,B,30,7538,87,4702.0,5,5,B +15664,47,2.0,73.04660921472451,51.940841981703706,9.0,22,22.0,2007,0.101872465,B,B,23,4583,3,,3,3,B +14275,27,1.0,47.52711070587538,43.38756921064506,1.0,17,17.0,2017,0.072157581,B,B,2,629,1,,0,0,A +7633,53,1.0,40.675626539628134,,1.0,21,21.0,1977,0.049637257000000004,B,B,34,7759,0,229.0,1,3,B +13329,23,2.0,68.09953793820145,64.84302502745639,1.0,2,17.0,1977,0.075778755,B,B,6,1437,3,,0,2,B +5502,32,2.0,48.193897416881704,32.857643514967585,6.0,5,14.0,1972,0.135649789,B,B,46,7960,6,350.0,3,11,B +4220,96,3.0,72.2771063144917,45.96875827731828,9.0,17,17.0,1997,0.041116354,B,B,53,14892,4,,1,4,B +11538,6,3.0,80.21939967207726,47.66025964450599,9.0,13,17.0,2014,0.24320451899999998,B,B,5,1564,0,540.0,0,0,B +15975,61,3.0,64.54365752157776,42.65154108152244,7.0,10,9.0,1981,0.300322518,B,B,52,10311,6,,1,9,B +3310,6,3.0,84.62535038041838,,1.0,6,17.0,1977,0.24320451899999998,B,B,5,1564,0,540.0,0,0,B +9286,3,1.0,34.743456964049436,19.77211048020402,6.0,5,9.0,1971,0.265088676,B,B,37,5288,0,1937.0,3,2,B +11260,46,2.0,46.813776396339506,31.88300844519038,5.0,4,5.0,1968,0.0,B,B,47,11319,0,1145.0,3,5,B +5214,27,1.0,37.555196656504386,,1.0,5,1.0,1977,0.21140121399999998,B,B,9,1892,0,,0,1,B +11307,41,1.0,42.26722484375383,21.46592686704648,9.0,7,14.0,1974,0.036122292,B,B,24,4378,0,1036.0,1,1,B 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