diff --git a/rahul-1903.ipynb b/rahul-1903.ipynb index 0a721fb..d8ba9e8 100644 --- a/rahul-1903.ipynb +++ b/rahul-1903.ipynb @@ -88,7 +88,11 @@ "metadata": { "id": "vmMcjzTxbWzw", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 69 + }, + "outputId": "36bb89f3-f405-4dab-dd5e-3d9bef9e0481" }, "cell_type": "code", "source": [ @@ -97,8 +101,18 @@ "print (t2)\n", "print (t3)" ], - "execution_count": 0, - "outputs": [] + "execution_count": 3, + "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": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 208 + }, + "outputId": "bb08d653-eced-4840-9963-cb5b7220ca7e" }, "cell_type": "code", "source": [ @@ -130,8 +148,26 @@ "print (sess.run(t3))\n", "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 4, + "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": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 52 + }, + "outputId": "daf20db9-3e7d-4af2-a58c-37eb74455fcd" }, "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": 5, + "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": 69 + }, + "outputId": "26e318d4-cd66-4a16-f996-1226e4855be3" }, "cell_type": "code", "source": [ @@ -231,8 +284,18 @@ "print ('Part 2 Result: ', part2_res)\n", "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 6, + "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 +320,41 @@ "metadata": { "id": "-uHNe1BolJY0", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 69 + }, + "outputId": "babf0cb5-181a-4201-dc17-4410deb83c56" }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", + "comp_graph_part1 = tf.divide(tf.multiply(tf.cast([9,10], dtype=tf.float32),[7,8.65]),5.6)\n", + "comp_graph_part2 = tf.add([7.65,9], [13.5,7.18])\n", + "comp_graph_complete = tf.minimum(comp_graph_part1, comp_graph_part2)\n", "\n", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "sess = tf.Session()\n", + "total_res, part1_res, part2_res = sess.run([comp_graph_complete, comp_graph_part1, comp_graph_part2])\n", + "print ('Complete Result: ', total_res)\n", + "print ('Part 1 Result: ', part1_res)\n", + "print ('Part 2 Result: ', part2_res)\n", + "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Complete Result: [11.25 15.446429]\n", + "Part 1 Result: [11.25 15.446429]\n", + "Part 2 Result: [21.15 16.18]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -289,18 +375,52 @@ "metadata": { "id": "0ZhYwAlLmEvB", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 104 + }, + "outputId": "6d935ab5-c740-4223-e4e1-8565058f0b8e" }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", - "\n", + "t1 = tf.constant([[7.2, 3.4],\n", + " [7.5, 8.6]], dtype=tf.float32)\n", + "t2 = tf.constant([[7, 9], \n", + " [8, 6]], dtype=tf.float32)\n", + "t3 = tf.constant([[2.79, 3.81, 5.6], \n", + " [7.3, 5.67, 8.9]], dtype=tf.float32)\n", + "t4 = tf.constant([[2.6,18.1],\n", + " [7.86,9.81],\n", + " [9.36,10.11]], dtype=tf.float32)\n", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "sess = tf.Session()\n", + "part1 = tf.multiply(tf.reduce_mean(t1, axis=1), t2)\n", + "part2 = tf.reduce_sum(tf.multiply(t3, tf.transpose(t4)))\n", + "res = tf.add(part1, part2)\n", + "total_res, part1_res, part2_res = sess.run([res, part1, part2])\n", + "print ('Complete Result: ', total_res)\n", + "print ('Part 1 Result: ', part1_res)\n", + "print ('Part 2 Result: ', part2_res)\n", + "sess.close()\n", + "# print (sess.run([total_res, part1_res, part2_res]))" ], - "execution_count": 0, - "outputs": [] + "execution_count": 36, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Complete Result: [[404.4483 439.7983 ]\n", + " [409.7483 415.64832]]\n", + "Part 1 Result: [[37.100002 72.450005]\n", + " [42.4 48.300003]]\n", + "Part 2 Result: 367.3483\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -318,18 +438,58 @@ "metadata": { "id": "GQWyCvsQmMcL", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 225 + }, + "outputId": "69c500cb-56d9-4133-8409-d500ca87e9b6" }, "cell_type": "code", "source": [ "# Build the graph\n", "# YOUR CODE HERE\n", + "t1 = tf.constant([[7.36, 8.91, 10.41],\n", + " [5.31, 9.38, 7.99]], dtype=tf.float32)\n", + "t2 = tf.constant([[7.99, 10.36],\n", + " [5.36, 7.98],\n", + " [8.91, 5.67]], dtype=tf.float32)\n", + "t3 = 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", "# Execute \n", - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "sess = tf.Session()\n", + "part1 = tf.divide(tf.add(7.0, tf.reduce_sum(tf.multiply(t1, tf.transpose(t2)))), 19.6)\n", + "res = tf.divide(part1, t3)\n", + "total_res, part1_res, part2_res = sess.run([res, part1, t3])\n", + "print ('Complete Result: \\n', total_res)\n", + "print ('Part 1 Result: \\n', part1_res)\n", + "print ('Part 2 Result: \\n', part2_res)\n", + "sess.close()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 38, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Complete Result: \n", + " [[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", + "Part 1 Result: \n", + " 19.463488\n", + "Part 2 Result: \n", + " [[1. 5.6 6.1 8. ]\n", + " [0. 0. 7.98 9. ]\n", + " [0. 0. 7.6 7. ]\n", + " [0. 0. 0. 8.98]]\n" + ], + "name": "stdout" + } + ] }, { "metadata": { @@ -388,7 +548,11 @@ "metadata": { "id": "1h1-D8K1uT48", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 347 + }, + "outputId": "02ce2fff-a1e7-460f-fdba-8366bbac6429" }, "cell_type": "code", "source": [ @@ -396,8 +560,21 @@ "plt.plot(train_X[:10], train_Y[:10], 'g')\n", "plt.show()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 87, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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hJycHAJCTkwNra671SUTa5VTy95j6/SSYGZkjvH8knK1bSB2JtIRKhVxUVITQ0FAEBASU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\nkFmYiaA3l8Lf/QM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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -408,7 +585,7 @@ "source": [ "** Question **
\n", "Why did I created a session to plot the graph?
\n", - "[Ans]" + "[Ans]tf.session.run is used to evaluate a tensor. So in order to visualize the characteristics of the plot and to evaluate and find the values of the tensors we need to use session." ] }, { @@ -490,7 +667,11 @@ "metadata": { "id": "ttI7ZT-ozAm1", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 729 + }, + "outputId": "cafb536b-7eb3-4ddd-a75a-b1ba8b22aeeb" }, "cell_type": "code", "source": [ @@ -524,8 +705,49 @@ " plt.legend()\n", " plt.show()" ], - "execution_count": 0, - "outputs": [] + "execution_count": 93, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.094\n", + "Loss after epoch 50 is 29.932789\n", + "Loss after epoch 100 is 29.922396\n", + "Loss after epoch 150 is 29.91209\n", + "Loss after epoch 200 is 29.901838\n", + "Loss after epoch 250 is 29.89155\n", + "Loss after epoch 300 is 29.881302\n", + "Loss after epoch 350 is 29.871027\n", + "Loss after epoch 400 is 29.860785\n", + "Loss after epoch 450 is 29.850517\n", + "Loss after epoch 500 is 29.840275\n", + "Loss after epoch 550 is 29.830032\n", + "Loss after epoch 600 is 29.819805\n", + "Loss after epoch 650 is 29.809555\n", + "Loss after epoch 700 is 29.799295\n", + "Loss after epoch 750 is 29.789078\n", + "Loss after epoch 800 is 29.77884\n", + "Loss after epoch 850 is 29.768637\n", + "Loss after epoch 900 is 29.758402\n", + "Loss after epoch 950 is 29.74816\n", + "Now testing the model in the test set\n", + "The final loss is: 34.52719\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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pF7EFlsE8KQZLtxdAL/V0IzIqQghV2RU7O5O2s/bwZ2w49jlpOWkAVPGpSuca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\nx386kGkdZxMXFUdBwdlqzVATJBz/B2WjnyF68ya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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -551,7 +773,22 @@ "source": [ "def linear_regression(learning_rate=0.000005, n_epochs=100, interval=50):\n", " # YOUR CODE HERE\n", - " pass" + " with tf.Session() as sess:\n", + " sess.run(tf.global_variables_initializer())\n", + " for epoch in range(n_epochs):\n", + " _, cur_loss = sess.run([optimizer, loss], feed_dict= {x:train_X, y:train_Y})\n", + " \n", + " if epoch % interval == 0:\n", + " print (f'Loss after epoch {epoch} is {cur_loss}')\n", + " print ('Testing the model in test set')\n", + " final_pred, final_loss = sess.run([pred_y, loss], feed_dict= {x:test_X, y:test_Y})\n", + " \n", + " print (f'Final loss is {final_loss}')\n", + " \n", + " plt.plot(test_X[:10], test_Y[:10], 'g', label='True Label')\n", + " plt.plot(test_X[:10], final_pred[:10], 'r', label='Predicted Function')\n", + " plt.legend()\n", + " plt.show()" ], "execution_count": 0, "outputs": [] @@ -560,28 +797,108 @@ "metadata": { "id": "A6MaclhK4rc6", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 555 + }, + "outputId": "c214be6d-92d0-4810-8612-1cf16f151c7c" }, "cell_type": "code", "source": [ "# Okay! Now let's tweak!\n", - "linear_regression(learning_rate=0.000034, n_epochs=500)" + "linear_regression(learning_rate=0.8, n_epochs=500)" ], - "execution_count": 0, - "outputs": [] + "execution_count": 97, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.09375\n", + "Loss after epoch 50 is 29.932788848876953\n", + "Loss after epoch 100 is 29.922395706176758\n", + "Loss after epoch 150 is 29.912090301513672\n", + "Loss after epoch 200 is 29.901838302612305\n", + "Loss after epoch 250 is 29.891550064086914\n", + "Loss after epoch 300 is 29.881301879882812\n", + "Loss after epoch 350 is 29.87102699279785\n", + "Loss after epoch 400 is 29.86078453063965\n", + "Loss after epoch 450 is 29.85051727294922\n", + "Testing the model in test set\n", + "Final loss is 34.64674377441406\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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ougP7Mue2jt6N4uRE6ts9MA0ejlKsmNrR8jQpbSHEY6coCr9fO5h5K9Ez33LN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\n2oQEbP4lME+ajuX1rjK3tRAii5R2IXI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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { "id": "peoHmV2M40uU", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 729 + }, + "outputId": "6472df6f-669b-407b-e6e1-6e93801c0166" }, "cell_type": "code", "source": [ "linear_regression(learning_rate=0.0000006, n_epochs=1000)" ], - "execution_count": 0, - "outputs": [] + "execution_count": 96, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.09375\n", + "Loss after epoch 50 is 29.932788848876953\n", + "Loss after epoch 100 is 29.922395706176758\n", + "Loss after epoch 150 is 29.912090301513672\n", + "Loss after epoch 200 is 29.901838302612305\n", + "Loss after epoch 250 is 29.891550064086914\n", + "Loss after epoch 300 is 29.881301879882812\n", + "Loss after epoch 350 is 29.87102699279785\n", + "Loss after epoch 400 is 29.86078453063965\n", + "Loss after epoch 450 is 29.85051727294922\n", + "Loss after epoch 500 is 29.840274810791016\n", + "Loss after epoch 550 is 29.830032348632812\n", + "Loss after epoch 600 is 29.819805145263672\n", + "Loss after epoch 650 is 29.809555053710938\n", + "Loss after epoch 700 is 29.79929542541504\n", + "Loss after epoch 750 is 29.789077758789062\n", + "Loss after epoch 800 is 29.778839111328125\n", + "Loss after epoch 850 is 29.76863670349121\n", + "Loss after epoch 900 is 29.75840187072754\n", + "Loss after epoch 950 is 29.748159408569336\n", + "Testing the model in test set\n", + "Final loss is 34.527191162109375\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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2ukJNSlsIoYqDSQdYf/wLvjy+lgsZ5wEoYyjLW4/0o0vNEBr4NZQrv4shp/17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\nO3bsYP369Tz88MNs2LCBLl26VC+ze/dubr311n9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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] }, { "metadata": { @@ -597,14 +914,164 @@ "metadata": { "id": "JKiHjGN15HPX", "colab_type": "code", - "colab": {} + "colab": { + "base_uri": "https://localhost:8080/", + "height": 559 + }, + "outputId": "99247c6e-89c6-4b87-f5f0-228fe84470c5" }, "cell_type": "code", "source": [ - "# YOUR CODE HERE" + "# YOUR CODE HERE\n", + "linear_regression(learning_rate=0.3, n_epochs=500000, interval=50000)" ], - "execution_count": 0, - "outputs": [] + "execution_count": 98, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.09375\n", + "Loss after epoch 50000 is 21.283916473388672\n", + "Loss after epoch 100000 is 15.211318969726562\n", + "Loss after epoch 150000 is 10.95263957977295\n", + "Loss after epoch 200000 is 7.966736316680908\n", + "Loss after epoch 250000 is 5.871413707733154\n", + "Loss after epoch 300000 is 4.402628421783447\n", + "Loss after epoch 350000 is 3.3714067935943604\n", + "Loss after epoch 400000 is 2.649549961090088\n", + "Loss after epoch 450000 is 2.1423346996307373\n", + "Testing the model in test set\n", + "Final loss is 2.1000137329101562\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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FhTFp0qRsY3l6erJv3z46d+7M/v37adWqVb4PRAghSoO41FhGHRrOd39/Q2Ur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\n4ux5KJUqFX5sIYQoBSS0hVGcifqFXt9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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "metadata": { + "id": "fKxTP9UNT1bC", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 694 + }, + "outputId": "cbc4622a-f365-4187-d14c-c8c1772f91f3" + }, + "cell_type": "code", + "source": [ + "linear_regression(learning_rate=0.1, n_epochs=900000, interval=50000)" + ], + "execution_count": 99, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.09375\n", + "Loss after epoch 50000 is 21.283916473388672\n", + "Loss after epoch 100000 is 15.211318969726562\n", + "Loss after epoch 150000 is 10.95263957977295\n", + "Loss after epoch 200000 is 7.966736316680908\n", + "Loss after epoch 250000 is 5.871413707733154\n", + "Loss after epoch 300000 is 4.402628421783447\n", + "Loss after epoch 350000 is 3.3714067935943604\n", + "Loss after epoch 400000 is 2.649549961090088\n", + "Loss after epoch 450000 is 2.1423346996307373\n", + "Loss after epoch 500000 is 1.7868114709854126\n", + "Loss after epoch 550000 is 1.5373363494873047\n", + "Loss after epoch 600000 is 1.363828420639038\n", + "Loss after epoch 650000 is 1.2396292686462402\n", + "Loss after epoch 700000 is 1.1555427312850952\n", + "Loss after epoch 750000 is 1.0945717096328735\n", + "Loss after epoch 800000 is 1.0549492835998535\n", + "Loss after epoch 850000 is 1.0217792987823486\n", + "Testing the model in test set\n", + "Final loss is 1.256899118423462\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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3/bmz5xBp3XpKYItc5RnaZ8+e5cyZM7Ru3RqASZMm8corrwDg7u5OYmIiR48e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\nf/11jBs3DnK5HM7Ozpg1axZkMhkmTJiA2NhYSCQSxMXFGT6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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "metadata": { + "id": "rRsNpGzpVBSE", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 729 + }, + "outputId": "44bdf14c-953d-4efa-9d41-9550a8d7710e" + }, + "cell_type": "code", + "source": [ + "linear_regression(learning_rate=0.0000003, n_epochs=1000000, interval=50000)" + ], + "execution_count": 100, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Loss after epoch 0 is 48245.09375\n", + "Loss after epoch 50000 is 21.283916473388672\n", + "Loss after epoch 100000 is 15.211318969726562\n", + "Loss after epoch 150000 is 10.95263957977295\n", + "Loss after epoch 200000 is 7.966736316680908\n", + "Loss after epoch 250000 is 5.871413707733154\n", + "Loss after epoch 300000 is 4.402628421783447\n", + "Loss after epoch 350000 is 3.3714067935943604\n", + "Loss after epoch 400000 is 2.649549961090088\n", + "Loss after epoch 450000 is 2.1423346996307373\n", + "Loss after epoch 500000 is 1.7868114709854126\n", + "Loss after epoch 550000 is 1.5373363494873047\n", + "Loss after epoch 600000 is 1.363828420639038\n", + "Loss after epoch 650000 is 1.2396292686462402\n", + "Loss after epoch 700000 is 1.1555427312850952\n", + "Loss after epoch 750000 is 1.0945717096328735\n", + "Loss after epoch 800000 is 1.0549492835998535\n", + "Loss after epoch 850000 is 1.0217792987823486\n", + "Loss after epoch 900000 is 1.0022590160369873\n", + "Loss after epoch 950000 is 0.9903714656829834\n", + "Testing the model in test set\n", + "Final loss is 1.2375112771987915\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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RYLPZWL16Ne3atePmzZsULVo0bZ2iRYuSkJCQrp3k5OS0y+E+Pj4PLBdCiPzq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\nWNpERERWgqVNRERkJf4Pn3SLLlueN8oAAAAASUVORK5CYII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