diff --git a/adrijaacharyya.ipynb b/adrijaacharyya.ipynb index 0a721fb..cb1f6b5 100644 --- a/adrijaacharyya.ipynb +++ b/adrijaacharyya.ipynb @@ -88,7 +88,11 @@ "metadata": { "id": "vmMcjzTxbWzw", "colab_type": "code", - "colab": {} + "outputId": "96c4b073-792a-4378-bcaa-31bb84871890", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 68 + } }, "cell_type": "code", "source": [ @@ -98,7 +102,17 @@ "print (t3)" ], "execution_count": 0, - "outputs": [] + "outputs": [ + { + "output_type": "stream", + "text": [ + "Tensor(\"Const:0\", shape=(), dtype=float32)\n", + "Tensor(\"Const_1:0\", shape=(2,), dtype=float32)\n", + "Tensor(\"Const_2:0\", shape=(2, 3, 2), dtype=float32)\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -118,7 +132,11 @@ "metadata": { "id": "ol6O5I7Tb2nb", "colab_type": "code", - "colab": {} + "outputId": "57dfcccf-bfe7-4594-c95a-f4837c876ea3", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 204 + } }, "cell_type": "code", "source": [ @@ -130,8 +148,26 @@ "print (sess.run(t3))\n", "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 37, + "outputs": [ + { + "output_type": "stream", + "text": [ + "2.0\n", + "=======================\n", + "[1. 2.]\n", + "=======================\n", + "[[[1. 9.]\n", + " [2. 3.]\n", + " [4. 5.]]\n", + "\n", + " [[1. 9.]\n", + " [2. 3.]\n", + " [4. 5.]]]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -177,7 +213,11 @@ "metadata": { "id": "FyVz0GNqgreZ", "colab_type": "code", - "colab": {} + "outputId": "7223319e-d285-4c5d-ff15-e81fdd31ee06", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 51 + } }, "cell_type": "code", "source": [ @@ -193,8 +233,17 @@ "print ('Comp Graph 1 Alt: ', sess.run(comp_graph_1_alt))\n", "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 38, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Comp Graph 1 : 7663\n", + "Comp Graph 1 Alt: 7663\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -212,7 +261,11 @@ "metadata": { "id": "4856BTvRhiBb", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 68 + }, + "outputId": "71a4bbd1-b948-450a-a11f-75fd4f10adf5" }, "cell_type": "code", "source": [ @@ -231,8 +284,18 @@ "print ('Part 2 Result: ', part2_res)\n", "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 39, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Complete Result: 3.5897436\n", + "Part 1 Result: -4.0\n", + "Part 2 Result: 3.5897436\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -257,18 +320,43 @@ "metadata": { "id": "-uHNe1BolJY0", "colab_type": "code", - "colab": {} + "outputId": "23ec6eb6-83bb-4876-aabd-f1c353191571", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 68 + } }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", - "\n", + "node_1 = tf.constant([9,10], dtype = tf.float32)\n", + "node_2 = tf.constant([7,8.6], dtype = tf.float32)\n", + "node_3 = tf.constant([7.65,9], dtype = tf.float32)\n", + "node_4 = tf.constant([13.5,7.18], dtype = tf.float32)\n", + "cg_1 = tf.divide(tf.multiply(node_1,node_2),5.6)\n", + "cg_2 = tf.add(node_3,node_4)\n", + "cg_com = tf.minimum(cg_1,cg_2)\n", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "sess = tf.Session()\n", + "print(\"Complete result : \", sess.run(cg_com))\n", + "print(\"Part 1 result : \", sess.run(cg_1))\n", + "print(\"Part 2 result : \", sess.run(cg_2))\n", + "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 40, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Complete result : [11.25 15.357143]\n", + "Part 1 result : [11.25 15.357143]\n", + "Part 2 result : [21.15 16.18]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -289,18 +377,44 @@ "metadata": { "id": "0ZhYwAlLmEvB", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 51 + }, + "outputId": "9a68d9ea-bf63-43a8-93a6-ede996e3dfde" }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", - "\n", + "node_5 = tf.constant([[1.2 , 3.4],\n", + " [7.5 , 8.6]], dtype = tf.float32)\n", + "node_6 = tf.constant([[7 , 9],\n", + " [8 , 6]] , dtype = tf.float32)\n", + "node_7 = tf.constant([[2.6 , 18.1],\n", + " [7.86 , 9.81],\n", + " [9.36 , 10.41]] , dtype = tf.float32)\n", + "node_8 = tf.constant([[2.79 , 3.81 , 5.6],\n", + " [7.3 , 5.67 , 8.9]] , dtype = tf.float32)\n", + "cg_1 = tf.multiply(node_6 , (tf.reduce_mean(node_5, axis = 1)))\n", + "cg_2 = tf.reduce_sum(tf.multiply(node_8 , tf.transpose(node_7)))\n", + "cg_com = cg_1 + cg_2\n", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "with tf.Session() as sess:\n", + " print(sess.run(cg_com))" ], - "execution_count": 0, - "outputs": [] + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[386.1183 442.4683 ]\n", + " [388.41827 418.3183 ]]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -318,18 +432,47 @@ "metadata": { "id": "GQWyCvsQmMcL", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 85 + }, + "outputId": "1f9ead1e-c77f-4200-8288-f675a4e38401" }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", + "n1 = tf.constant([[7.36 , 8.91 , 10.41],\n", + " [5.31 , 9.38 , 7.99]] , dtype = tf.float32)\n", + "n2 = tf.constant([[7.99 , 10.36],\n", + " [5.36 , 7.98],\n", + " [8.91 , 5.67]] , dtype = tf.float32)\n", + "n3 = tf.constant([[1 , 5.6 , 6.1 , 8],\n", + " [0 , 0 , 7.98 , 9],\n", + " [0 , 0 , 7.6 , 7],\n", + " [0 , 0 , 0 , 8.98]] , dtype = tf.float32)\n", + "\n", + "cg_3 = (((tf.reduce_sum(n1 * tf.transpose(n2))) + 7.0) / 19.6/n3)\n", + "\n", "\n", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "with tf.Session() as sess:\n", + " print(sess.run(cg_3))" ], - "execution_count": 0, - "outputs": [] + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[19.463488 3.475623 3.1907358 2.432936 ]\n", + " [ inf inf 2.4390335 2.1626098]\n", + " [ inf inf 2.5609853 2.7804983]\n", + " [ inf inf inf 2.1674263]]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -388,7 +531,11 @@ "metadata": { "id": "1h1-D8K1uT48", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 347 + }, + "outputId": "459503f0-2673-4ff3-9a59-1c92f94e25a4" }, "cell_type": "code", "source": [ @@ -396,8 +543,21 @@ "plt.plot(train_X[:10], train_Y[:10], 'g')\n", "plt.show()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 13, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -490,7 +650,11 @@ "metadata": { "id": "ttI7ZT-ozAm1", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 721 + }, + "outputId": "4ccce2d8-e846-42e0-a073-fb54e4c8f247" }, "cell_type": "code", "source": [ @@ -524,8 +688,49 @@ " plt.legend()\n", " plt.show()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 24, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48290.266\n", + "Loss after epoch 50 is 31.66934\n", + "Loss after epoch 100 is 31.658337\n", + "Loss after epoch 150 is 31.647457\n", + "Loss after epoch 200 is 31.63657\n", + "Loss after epoch 250 is 31.625706\n", + "Loss after epoch 300 is 31.614838\n", + "Loss after epoch 350 is 31.603981\n", + "Loss after epoch 400 is 31.593147\n", + "Loss after epoch 450 is 31.582289\n", + "Loss after epoch 500 is 31.571445\n", + "Loss after epoch 550 is 31.560612\n", + "Loss after epoch 600 is 31.54977\n", + "Loss after epoch 650 is 31.538893\n", + "Loss after epoch 700 is 31.528057\n", + "Loss after epoch 750 is 31.517233\n", + "Loss after epoch 800 is 31.506426\n", + "Loss after epoch 850 is 31.495613\n", + "Loss after epoch 900 is 31.484789\n", + "Loss after epoch 950 is 31.473984\n", + "Now testing the model in the test set\n", + "The final loss is: 34.060673\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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01pr+apdW5OQpVaOjowkJCcl9bDQa/3XfjIwMtm/fTtu2be+4ffbs2fTo0YNx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\nX6RZs2b06dOn5r7y8nLcXztpxuuvv85HH31EZmY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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -545,43 +750,176 @@ "metadata": { "id": "OZ5TY7B_4E_v", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 415 + }, + "outputId": "131a492b-8ef8-44f1-91eb-cc4258bb5a03" }, "cell_type": "code", "source": [ "def linear_regression(learning_rate=0.000005, n_epochs=100, interval=50):\n", " # YOUR CODE HERE\n", - " pass" + " x = tf.placeholder(tf.float32 , name = 'x')\n", + " y = tf.placeholder(tf.float32 , name = 'y')\n", + " W = tf.Variable(0.0 , name = 'Weight_1')\n", + " b = tf.Variable(0.0 , name = 'bias_1')\n", + " pred_y = (W*x) + b\n", + " loss = tf.reduce_mean(tf.square(y - pred_y))\n", + " optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate).minimize(loss)\n", + " with tf.Session() as sess:\n", + " sess.run(tf.global_variables_initializer())\n", + " \n", + " for epoch in range(n_epochs):\n", + " _, curr_loss = sess.run([optimizer, loss], feed_dict={x:train_X, y:train_Y})\n", + " \n", + " if epoch % interval == 0:\n", + " print ('Loss after epoch', epoch, ' is ', curr_loss)\n", + " \n", + " print ('Now testing the model in the test set')\n", + " final_preds, final_loss = sess.run([pred_y, loss], feed_dict={x:test_X, y:test_Y})\n", + " \n", + " print ('The final loss is: ', final_loss)\n", + " plt.plot(test_X[:10], test_Y[:10], 'g', label='True Function')\n", + " plt.plot(test_X[:10], final_preds[:10], 'r', label='Predicted Function')\n", + " plt.legend()\n", + " plt.show()\n", + " pass\n", + "linear_regression()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 29, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48290.266\n", + "Loss after epoch 50 is 31.66934\n", + "Now testing the model in the test set\n", + "The final loss is: 34.281204\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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s7GyGDh1KcHDwDduJj4+nYUN5vq0Q4vasNiuDv+7PBdN5JjwykU61nlQ7Urmm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\n9A7O0Tvud453K/omS3vZsmXur5cvX45HHnkEBw4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Id3cvc/RWx/CjOYmIiHyE3z+nTURE\n5C9Y2kRERD6CpU1EROQjWNpEREQ+gqVNRETkI1jaREREPoKlTURE5CNY2kRERD7i/wDOIhP59AG0\n5wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { "id": "A6MaclhK4rc6", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 551 + }, + "outputId": "e91d82b8-8bd7-42e9-e115-3e64e243ec2b" }, "cell_type": "code", "source": [ "# Okay! Now let's tweak!\n", - "linear_regression(learning_rate=0.000034, n_epochs=500)" + "linear_regression(learning_rate=0.000034, n_epochs=500)\n", + "\n" ], - "execution_count": 0, - "outputs": [] + "execution_count": 30, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48290.266\n", + "Loss after epoch 50 is 31.606146\n", + "Loss after epoch 100 is 31.53241\n", + "Loss after epoch 150 is 31.458828\n", + "Loss after epoch 200 is 31.385445\n", + "Loss after epoch 250 is 31.31225\n", + "Loss after epoch 300 is 31.23921\n", + "Loss after epoch 350 is 31.166374\n", + "Loss after epoch 400 is 31.093668\n", + "Loss after epoch 450 is 31.021181\n", + "Now testing the model in the test set\n", + "The final loss is: 33.479515\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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Yd34vveu9xPBmI9UuqczSXLyIcVYE7qtXoLHbyen+NOawKOy1aqtdWplSqNA+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\nU2k3EfFr/k7CjKnE7dpJqHVrjuTNx3/bHRCnt4C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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { "id": "peoHmV2M40uU", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 721 + }, + "outputId": "a063d89d-f3e0-4b32-f12b-3d03545fbc75" }, "cell_type": "code", "source": [ "linear_regression(learning_rate=0.0000006, n_epochs=1000)" ], - "execution_count": 0, - "outputs": [] + "execution_count": 31, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48290.266\n", + "Loss after epoch 50 is 5546.5957\n", + "Loss after epoch 100 is 661.91565\n", + "Loss after epoch 150 is 103.69911\n", + "Loss after epoch 200 is 39.905422\n", + "Loss after epoch 250 is 32.614082\n", + "Loss after epoch 300 is 31.779734\n", + "Loss after epoch 350 is 31.683212\n", + "Loss after epoch 400 is 31.671053\n", + "Loss after epoch 450 is 31.668486\n", + "Loss after epoch 500 is 31.667015\n", + "Loss after epoch 550 is 31.665705\n", + "Loss after epoch 600 is 31.664385\n", + "Loss after epoch 650 is 31.663092\n", + "Loss after epoch 700 is 31.661776\n", + "Loss after epoch 750 is 31.660484\n", + "Loss after epoch 800 is 31.659166\n", + "Loss after epoch 850 is 31.657873\n", + "Loss after epoch 900 is 31.65656\n", + "Loss after epoch 950 is 31.65527\n", + "Now testing the model in the test set\n", + "The final loss is: 34.281815\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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KYtiwYQQHB9+0n2nTplGnjqxvK4S4M6vNyuCv+3PRdIGJzSfRvtozakcq1TTX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\nkNOjF2jlLXpClFZS2iXMzovbidkRwS+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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -597,11 +935,97 @@ "metadata": { "id": "JKiHjGN15HPX", "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 721 + }, + "outputId": "03689c2b-fdd4-43ee-8b74-aac0514cc892" + }, + "cell_type": "code", + "source": [ + "# YOUR CODE HERE\n", + "def linear_regression(learning_rate=0.000005, n_epochs=100, interval=50, weight = 0.0 ,bias = 0.0):\n", + " x = tf.placeholder(tf.float32 , name = 'x')\n", + " y = tf.placeholder(tf.float32 , name = 'y')\n", + " W = tf.Variable(weight , name = 'Weight_1')\n", + " b = tf.Variable(bias , name = 'bias_1')\n", + " pred_y = (W*x) + b\n", + " loss = tf.reduce_mean(tf.square(y - pred_y))\n", + " optimizer = tf.train.GradientDescentOptimizer(learning_rate=learning_rate).minimize(loss)\n", + " with tf.Session() as sess:\n", + " sess.run(tf.global_variables_initializer())\n", + " \n", + " for epoch in range(n_epochs):\n", + " _, curr_loss = sess.run([optimizer, loss], feed_dict={x:train_X, y:train_Y})\n", + " \n", + " if epoch % interval == 0:\n", + " print ('Loss after epoch', epoch, ' is ', curr_loss)\n", + " \n", + " print ('Now testing the model in the test set')\n", + " final_preds, final_loss = sess.run([pred_y, loss], feed_dict={x:test_X, y:test_Y})\n", + " \n", + " print ('The final loss is: ', final_loss)\n", + " plt.plot(test_X[:10], test_Y[:10], 'g', label='True Function')\n", + " plt.plot(test_X[:10], final_preds[:10], 'r', label='Predicted Function')\n", + " plt.legend()\n", + " plt.show()\n", + " pass\n", + "\n", + "linear_regression(learning_rate=0.00005, n_epochs=100000, interval=5000, weight=1.0, bias=-7.0)\n" + ], + "execution_count": 33, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 8390.213\n", + "Loss after epoch 5000 is 2.3119628\n", + "Loss after epoch 10000 is 1.9213411\n", + "Loss after epoch 15000 is 1.6474096\n", + "Loss after epoch 20000 is 1.4553038\n", + "Loss after epoch 25000 is 1.3205746\n", + "Loss after epoch 30000 is 1.2260466\n", + "Loss after epoch 35000 is 1.1597928\n", + "Loss after epoch 40000 is 1.1133193\n", + "Loss after epoch 45000 is 1.0807446\n", + "Loss after epoch 50000 is 1.0578507\n", + "Loss after epoch 55000 is 1.0418727\n", + "Loss after epoch 60000 is 1.0306289\n", + "Loss after epoch 65000 is 1.0226893\n", + "Loss after epoch 70000 is 1.017219\n", + "Loss after epoch 75000 is 1.0133427\n", + "Loss after epoch 80000 is 1.0106246\n", + "Loss after epoch 85000 is 1.0087104\n", + "Loss after epoch 90000 is 1.0073181\n", + "Loss after epoch 95000 is 1.0064383\n", + "Now testing the model in the test set\n", + "The final loss is: 1.0892345\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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bF0PVoryS0BZCiHyMiQzksz/WU9nOhQ+fWsDAJm9hoy7ik7TS0tDNmo7DyhUo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\nSqQOWY2wbpNqn67PnIYyagac8k/B2LYd1KkZqAp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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "metadata": { + "id": "QvHAYm7H8pnM", + "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ - "# YOUR CODE HERE" + "" ], "execution_count": 0, "outputs": []