From 338312e5bfabdd363edcb359828c41e3e82195f3 Mon Sep 17 00:00:00 2001
From: Malar Kannan <malarkannan.p@gmail.com>
Date: Sun, 8 Oct 2017 15:26:09 +0530
Subject: [PATCH] updated path reference, included tf training in notebook

---
 ComputationalGraphs.ipynb | 688 +++++++++++++++++++++++++++++++++++++-
 LinearAlgebra.ipynb       |   6 +-
 2 files changed, 690 insertions(+), 4 deletions(-)

diff --git a/ComputationalGraphs.ipynb b/ComputationalGraphs.ipynb
index 4eaef5f..8540e86 100644
--- a/ComputationalGraphs.ipynb
+++ b/ComputationalGraphs.ipynb
@@ -363,6 +363,692 @@
     "# dot=tf_to_dot(tf.get_default_graph())\n"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg height=\"980pt\" viewBox=\"0.00 0.00 1130.59 980.00\" width=\"1131pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 976)\">\n",
+       "<title>%3</title>\n",
+       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-976 1126.5859,-976 1126.5859,4 -4,4\" stroke=\"transparent\"/>\n",
+       "<!-- train_data -->\n",
+       "<g class=\"node\" id=\"node1\">\n",
+       "<title>train_data</title>\n",
+       "<ellipse cx=\"703.8426\" cy=\"-954\" fill=\"none\" rx=\"58.4896\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"703.8426\" y=\"-950.3\">train_data</text>\n",
+       "</g>\n",
+       "<!-- div -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>div</title>\n",
+       "<ellipse cx=\"703.8426\" cy=\"-882\" fill=\"none\" rx=\"27\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"703.8426\" y=\"-878.3\">div</text>\n",
+       "</g>\n",
+       "<!-- train_data&#45;&gt;div -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>train_data-&gt;div</title>\n",
+       "<path d=\"M703.8426,-935.8314C703.8426,-928.131 703.8426,-918.9743 703.8426,-910.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- train_label -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>train_label</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"688.8426\" y=\"-446.3\">train_label</text>\n",
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+       "<title>mul</title>\n",
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+       "<!-- train_label&#45;&gt;mul -->\n",
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+       "<title>train_label-&gt;mul</title>\n",
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+       "<!-- train_label&#45;&gt;sub_1 -->\n",
+       "<g class=\"edge\" id=\"edge13\">\n",
+       "<title>train_label-&gt;sub_1</title>\n",
+       "<path d=\"M684.5527,-431.8314C682.6863,-423.9266 680.4576,-414.4872 678.3915,-405.7365\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- gradients -->\n",
+       "<g class=\"node\" id=\"node23\">\n",
+       "<title>gradients</title>\n",
+       "<ellipse cx=\"502.8426\" cy=\"-162\" fill=\"none\" rx=\"55.4913\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"502.8426\" y=\"-158.3\">gradients</text>\n",
+       "</g>\n",
+       "<!-- train_label&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge27\">\n",
+       "<title>train_label-&gt;gradients</title>\n",
+       "<path d=\"M693.9076,-432.0027C699.3639,-421.9451 706.5067,-408.8733 709.8426,-396 726.1797,-332.9531 675.4338,-223.7224 667.8426,-216 651.985,-199.8686 599.5296,-184.9059 557.8924,-174.8417\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- train_label&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge30\">\n",
+       "<title>train_label-&gt;gradients</title>\n",
+       "<path d=\"M709.135,-432.9665C716.8991,-422.7886 724.3991,-409.2886 727.8426,-396 744.1797,-332.9531 693.4338,-223.7224 685.8426,-216 668.6969,-198.5581 608.7657,-182.4826 562.0165,-172.488\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- sub -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>sub</title>\n",
+       "<ellipse cx=\"703.8426\" cy=\"-810\" fill=\"none\" rx=\"27.0966\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"703.8426\" y=\"-806.3\">sub</text>\n",
+       "</g>\n",
+       "<!-- div&#45;&gt;sub -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>div-&gt;sub</title>\n",
+       "<path d=\"M703.8426,-863.8314C703.8426,-856.131 703.8426,-846.9743 703.8426,-838.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- MatMul -->\n",
+       "<g class=\"node\" id=\"node9\">\n",
+       "<title>MatMul</title>\n",
+       "<ellipse cx=\"411.8426\" cy=\"-738\" fill=\"none\" rx=\"47.3916\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"411.8426\" y=\"-734.3\">MatMul</text>\n",
+       "</g>\n",
+       "<!-- sub&#45;&gt;MatMul -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>sub-&gt;MatMul</title>\n",
+       "<path d=\"M678.1854,-803.6736C629.9364,-791.7766 524.9051,-765.8784 462.1149,-750.3959\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"462.5853,-746.9071 452.0381,-747.9112 460.9094,-753.7036 462.5853,-746.9071\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- sub&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge44\">\n",
+       "<title>sub-&gt;gradients</title>\n",
+       "<path d=\"M730.4116,-804.6995C757.4295,-797.9495 798.6596,-783.6768 822.8426,-756 850.3205,-724.5522 849.8426,-707.7612 849.8426,-666 849.8426,-666 849.8426,-666 849.8426,-306 849.8426,-251.2846 813.5634,-242.7675 765.8426,-216 731.9593,-196.9942 630.6928,-179.8441 564.1616,-170.1912\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Const -->\n",
+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>Const</title>\n",
+       "<ellipse cx=\"915.8426\" cy=\"-234\" fill=\"none\" rx=\"38.1938\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"915.8426\" y=\"-230.3\">Const</text>\n",
+       "</g>\n",
+       "<!-- Neg_1 -->\n",
+       "<g class=\"node\" id=\"node25\">\n",
+       "<title>Neg_1</title>\n",
+       "<ellipse cx=\"716.8426\" cy=\"-162\" fill=\"none\" rx=\"40.8928\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"716.8426\" y=\"-158.3\">Neg_1</text>\n",
+       "</g>\n",
+       "<!-- Const&#45;&gt;Neg_1 -->\n",
+       "<g class=\"edge\" id=\"edge45\">\n",
+       "<title>Const-&gt;Neg_1</title>\n",
+       "<path d=\"M885.1849,-222.9078C851.157,-210.5962 796.0594,-190.6614 758.2245,-176.9724\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Neg_2 -->\n",
+       "<g class=\"node\" id=\"node28\">\n",
+       "<title>Neg_2</title>\n",
+       "<ellipse cx=\"915.8426\" cy=\"-162\" fill=\"none\" rx=\"40.8928\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"915.8426\" y=\"-158.3\">Neg_2</text>\n",
+       "</g>\n",
+       "<!-- Const&#45;&gt;Neg_2 -->\n",
+       "<g class=\"edge\" id=\"edge50\">\n",
+       "<title>Const-&gt;Neg_2</title>\n",
+       "<path d=\"M915.8426,-215.8314C915.8426,-208.131 915.8426,-198.9743 915.8426,-190.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- random_normal -->\n",
+       "<g class=\"node\" id=\"node6\">\n",
+       "<title>random_normal</title>\n",
+       "<ellipse cx=\"83.8426\" cy=\"-882\" fill=\"none\" rx=\"83.6854\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"83.8426\" y=\"-878.3\">random_normal</text>\n",
+       "</g>\n",
+       "<!-- weights -->\n",
+       "<g class=\"node\" id=\"node7\">\n",
+       "<title>weights</title>\n",
+       "<ellipse cx=\"83.8426\" cy=\"-810\" fill=\"none\" rx=\"47.3916\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"83.8426\" y=\"-806.3\">weights</text>\n",
+       "</g>\n",
+       "<!-- random_normal&#45;&gt;weights -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>random_normal-&gt;weights</title>\n",
+       "<path d=\"M83.8426,-863.8314C83.8426,-856.131 83.8426,-846.9743 83.8426,-838.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- weights&#45;&gt;MatMul -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>weights-&gt;MatMul</title>\n",
+       "<path d=\"M125.0519,-800.9541C184.8275,-787.8326 295.5268,-763.5327 360.5201,-749.2659\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- weights&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge43\">\n",
+       "<title>weights-&gt;gradients</title>\n",
+       "<path d=\"M83.8426,-791.8146C83.8426,-764.4983 83.8426,-711.25 83.8426,-666 83.8426,-666 83.8426,-666 83.8426,-306 83.8426,-265.1184 72.8872,-243.8205 102.8426,-216 126.9982,-193.5659 331.7766,-174.9351 438.5822,-166.6382\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- weight_update -->\n",
+       "<g class=\"node\" id=\"node27\">\n",
+       "<title>weight_update</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"274.8426\" y=\"-14.3\">weight_update</text>\n",
+       "</g>\n",
+       "<!-- weights&#45;&gt;weight_update -->\n",
+       "<g class=\"edge\" id=\"edge48\">\n",
+       "<title>weights-&gt;weight_update</title>\n",
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+       "<g class=\"node\" id=\"node8\">\n",
+       "<title>Variable</title>\n",
+       "<ellipse cx=\"764.8426\" cy=\"-738\" fill=\"none\" rx=\"48.9926\" ry=\"18\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- add -->\n",
+       "<g class=\"node\" id=\"node10\">\n",
+       "<title>add</title>\n",
+       "<ellipse cx=\"755.8426\" cy=\"-666\" fill=\"none\" rx=\"27.8951\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"755.8426\" y=\"-662.3\">add</text>\n",
+       "</g>\n",
+       "<!-- Variable&#45;&gt;add -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>Variable-&gt;add</title>\n",
+       "<path d=\"M762.5715,-719.8314C761.6089,-712.131 760.4644,-702.9743 759.3946,-694.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- bias_update -->\n",
+       "<g class=\"node\" id=\"node30\">\n",
+       "<title>bias_update</title>\n",
+       "<ellipse cx=\"1006.8426\" cy=\"-18\" fill=\"none\" rx=\"66.8882\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1006.8426\" y=\"-14.3\">bias_update</text>\n",
+       "</g>\n",
+       "<!-- Variable&#45;&gt;bias_update -->\n",
+       "<g class=\"edge\" id=\"edge53\">\n",
+       "<title>Variable-&gt;bias_update</title>\n",
+       "<path d=\"M781.3343,-720.9477C836.9584,-662.0871 1017.6022,-459.6344 1078.8426,-252 1093.1992,-203.324 1080.8068,-123.993 1055.8426,-72 1050.7244,-61.3404 1042.8179,-51.2706 1034.8391,-42.7792\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- MatMul&#45;&gt;add -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>MatMul-&gt;add</title>\n",
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+       "<g class=\"edge\" id=\"edge42\">\n",
+       "<title>MatMul-&gt;gradients</title>\n",
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+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>add-&gt;Sigmoid</title>\n",
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+       "<!-- add_1 -->\n",
+       "<g class=\"node\" id=\"node12\">\n",
+       "<title>add_1</title>\n",
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+       "</g>\n",
+       "<!-- Sigmoid&#45;&gt;add_1 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>Sigmoid-&gt;add_1</title>\n",
+       "<path d=\"M721.128,-585.9503C646.7107,-572.2468 496.1011,-544.5131 420.0316,-530.5054\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<g class=\"edge\" id=\"edge40\">\n",
+       "<title>Sigmoid-&gt;gradients</title>\n",
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+       "<!-- Sigmoid&#45;&gt;gradients -->\n",
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+       "<title>Sigmoid-&gt;gradients</title>\n",
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+       "<!-- Log -->\n",
+       "<g class=\"node\" id=\"node13\">\n",
+       "<title>Log</title>\n",
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+       "</g>\n",
+       "<!-- add_1&#45;&gt;Log -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>add_1-&gt;Log</title>\n",
+       "<path d=\"M374.4758,-503.7623C375.3286,-479.201 376.8548,-435.2474 377.858,-406.3541\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- sub_2 -->\n",
+       "<g class=\"node\" id=\"node16\">\n",
+       "<title>sub_2</title>\n",
+       "<ellipse cx=\"439.8426\" cy=\"-450\" fill=\"none\" rx=\"38.1938\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"439.8426\" y=\"-446.3\">sub_2</text>\n",
+       "</g>\n",
+       "<!-- add_1&#45;&gt;sub_2 -->\n",
+       "<g class=\"edge\" id=\"edge14\">\n",
+       "<title>add_1-&gt;sub_2</title>\n",
+       "<path d=\"M389.1502,-505.3008C397.6468,-496.0317 408.3651,-484.339 417.7551,-474.0954\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- add_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge35\">\n",
+       "<title>add_1-&gt;gradients</title>\n",
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+       "<!-- add_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge39\">\n",
+       "<title>add_1-&gt;gradients</title>\n",
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+       "</g>\n",
+       "<!-- Log&#45;&gt;mul -->\n",
+       "<g class=\"edge\" id=\"edge12\">\n",
+       "<title>Log-&gt;mul</title>\n",
+       "<path d=\"M397.4139,-363.7751C411.4088,-353.0557 430.7902,-338.2103 446.4022,-326.2522\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- Log&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge28\">\n",
+       "<title>Log-&gt;gradients</title>\n",
+       "<path d=\"M371.2607,-360.5705C364.2459,-328.755 361.7415,-260.4589 392.8426,-216 405.9386,-197.2793 427.6256,-184.4851 448.3672,-176.0687\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- Log&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge29\">\n",
+       "<title>Log-&gt;gradients</title>\n",
+       "<path d=\"M381.7919,-360.0678C382.2206,-328.0405 379.9043,-260.2261 410.8426,-216 422.0941,-199.916 439.687,-188.2067 456.5413,-179.8899\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- add_2 -->\n",
+       "<g class=\"node\" id=\"node19\">\n",
+       "<title>add_2</title>\n",
+       "<ellipse cx=\"577.8426\" cy=\"-234\" fill=\"none\" rx=\"38.1938\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"577.8426\" y=\"-230.3\">add_2</text>\n",
+       "</g>\n",
+       "<!-- mul&#45;&gt;add_2 -->\n",
+       "<g class=\"edge\" id=\"edge18\">\n",
+       "<title>mul-&gt;add_2</title>\n",
+       "<path d=\"M492.5923,-292.4574C508.1121,-281.8152 529.9895,-266.8135 547.6958,-254.6721\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- mul&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge25\">\n",
+       "<title>mul-&gt;gradients</title>\n",
+       "<path d=\"M472.5414,-287.7986C472.6353,-269.4232 473.8787,-240.356 479.8426,-216 482.0374,-207.0365 485.5577,-197.657 489.191,-189.2775\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_1 -->\n",
+       "<g class=\"node\" id=\"node18\">\n",
+       "<title>mul_1</title>\n",
+       "<ellipse cx=\"614.8426\" cy=\"-306\" fill=\"none\" rx=\"38.9931\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"614.8426\" y=\"-302.3\">mul_1</text>\n",
+       "</g>\n",
+       "<!-- sub_1&#45;&gt;mul_1 -->\n",
+       "<g class=\"edge\" id=\"edge16\">\n",
+       "<title>sub_1-&gt;mul_1</title>\n",
+       "<path d=\"M658.3344,-360.937C651.2357,-351.9703 642.4024,-340.8124 634.5545,-330.8993\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- sub_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge31\">\n",
+       "<title>sub_1-&gt;gradients</title>\n",
+       "<path d=\"M669.0162,-360.0479C668.5962,-327.071 670.6074,-256.5233 633.8426,-216 614.596,-194.7859 586.0561,-181.8333 560.4694,-173.9589\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- sub_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge34\">\n",
+       "<title>sub_1-&gt;gradients</title>\n",
+       "<path d=\"M679.4258,-360.3055C686.5855,-327.4396 688.7033,-256.6291 651.8426,-216 629.6682,-191.5587 595.1578,-178.0836 564.8594,-170.7066\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Log_1 -->\n",
+       "<g class=\"node\" id=\"node17\">\n",
+       "<title>Log_1</title>\n",
+       "<ellipse cx=\"540.8426\" cy=\"-378\" fill=\"none\" rx=\"38.9931\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"540.8426\" y=\"-374.3\">Log_1</text>\n",
+       "</g>\n",
+       "<!-- sub_2&#45;&gt;Log_1 -->\n",
+       "<g class=\"edge\" id=\"edge15\">\n",
+       "<title>sub_2-&gt;Log_1</title>\n",
+       "<path d=\"M461.2621,-434.7307C475.724,-424.4212 495.0126,-410.6709 510.9779,-399.2896\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- sub_2&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge37\">\n",
+       "<title>sub_2-&gt;gradients</title>\n",
+       "<path d=\"M436.2283,-431.7122C430.906,-401.375 422.8179,-338.9373 434.8426,-288 443.6929,-250.5094 466.7464,-212.2364 483.5643,-187.8665\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Log_1&#45;&gt;mul_1 -->\n",
+       "<g class=\"edge\" id=\"edge17\">\n",
+       "<title>Log_1-&gt;mul_1</title>\n",
+       "<path d=\"M557.6343,-361.6621C567.4741,-352.0882 580.0646,-339.8381 590.9277,-329.2686\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"593.3907,-331.7554 598.1173,-322.2733 588.5092,-326.7383 593.3907,-331.7554\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- Log_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge32\">\n",
+       "<title>Log_1-&gt;gradients</title>\n",
+       "<path d=\"M533.7222,-359.9555C523.6417,-322.3144 508.0543,-235.1867 503.0665,-190.1246\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Log_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge33\">\n",
+       "<title>Log_1-&gt;gradients</title>\n",
+       "<path d=\"M541.614,-359.9555C538.4437,-322.235 523.318,-234.8188 512.4455,-189.8399\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_1&#45;&gt;add_2 -->\n",
+       "<g class=\"edge\" id=\"edge19\">\n",
+       "<title>mul_1-&gt;add_2</title>\n",
+       "<path d=\"M605.6965,-288.2022C601.4399,-279.9192 596.2868,-269.8915 591.5761,-260.7248\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_1&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge26\">\n",
+       "<title>mul_1-&gt;gradients</title>\n",
+       "<path d=\"M623.0995,-288.2092C630.7492,-268.8434 638.9941,-237.7396 624.8426,-216 610.6821,-194.2467 585.542,-181.1908 561.7479,-173.386\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Mean -->\n",
+       "<g class=\"node\" id=\"node21\">\n",
+       "<title>Mean</title>\n",
+       "<ellipse cx=\"1015.8426\" cy=\"-162\" fill=\"none\" rx=\"36.2938\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1015.8426\" y=\"-158.3\">Mean</text>\n",
+       "</g>\n",
+       "<!-- add_2&#45;&gt;Mean -->\n",
+       "<g class=\"edge\" id=\"edge20\">\n",
+       "<title>add_2-&gt;Mean</title>\n",
+       "<path d=\"M615.7898,-231.3427C685.8163,-225.8625 839.7255,-211.1199 965.8426,-180 969.7124,-179.0451 973.7001,-177.8999 977.6556,-176.6557\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- add_2&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge23\">\n",
+       "<title>add_2-&gt;gradients</title>\n",
+       "<path d=\"M556.301,-218.7307C545.636,-209.5628 532.9739,-197.674 522.5705,-187.1498\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- add_2&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge24\">\n",
+       "<title>add_2-&gt;gradients</title>\n",
+       "<path d=\"M565.5654,-216.5708C556.743,-207.1703 544.688,-195.4433 533.4444,-185.2721\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Const_1 -->\n",
+       "<g class=\"node\" id=\"node20\">\n",
+       "<title>Const_1</title>\n",
+       "<ellipse cx=\"1020.8426\" cy=\"-234\" fill=\"none\" rx=\"48.9926\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1020.8426\" y=\"-230.3\">Const_1</text>\n",
+       "</g>\n",
+       "<!-- Const_1&#45;&gt;Mean -->\n",
+       "<g class=\"edge\" id=\"edge21\">\n",
+       "<title>Const_1-&gt;Mean</title>\n",
+       "<path d=\"M1019.5808,-215.8314C1019.0461,-208.131 1018.4102,-198.9743 1017.8159,-190.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Neg -->\n",
+       "<g class=\"node\" id=\"node22\">\n",
+       "<title>Neg</title>\n",
+       "<ellipse cx=\"1015.8426\" cy=\"-90\" fill=\"none\" rx=\"30.5947\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1015.8426\" y=\"-86.3\">Neg</text>\n",
+       "</g>\n",
+       "<!-- Mean&#45;&gt;Neg -->\n",
+       "<g class=\"edge\" id=\"edge22\">\n",
+       "<title>Mean-&gt;Neg</title>\n",
+       "<path d=\"M1015.8426,-143.8314C1015.8426,-136.131 1015.8426,-126.9743 1015.8426,-118.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_2 -->\n",
+       "<g class=\"node\" id=\"node26\">\n",
+       "<title>mul_2</title>\n",
+       "<ellipse cx=\"502.8426\" cy=\"-90\" fill=\"none\" rx=\"38.9931\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"502.8426\" y=\"-86.3\">mul_2</text>\n",
+       "</g>\n",
+       "<!-- gradients&#45;&gt;mul_2 -->\n",
+       "<g class=\"edge\" id=\"edge47\">\n",
+       "<title>gradients-&gt;mul_2</title>\n",
+       "<path d=\"M502.8426,-143.8314C502.8426,-136.131 502.8426,-126.9743 502.8426,-118.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_3 -->\n",
+       "<g class=\"node\" id=\"node29\">\n",
+       "<title>mul_3</title>\n",
+       "<ellipse cx=\"915.8426\" cy=\"-90\" fill=\"none\" rx=\"38.9931\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"915.8426\" y=\"-86.3\">mul_3</text>\n",
+       "</g>\n",
+       "<!-- gradients&#45;&gt;mul_3 -->\n",
+       "<g class=\"edge\" id=\"edge52\">\n",
+       "<title>gradients-&gt;mul_3</title>\n",
+       "<path d=\"M551.8409,-153.4579C632.1031,-139.4655 790.522,-111.8477 869.2146,-98.1288\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- ^gradients -->\n",
+       "<g class=\"node\" id=\"node24\">\n",
+       "<title>^gradients</title>\n",
+       "<ellipse cx=\"174.8426\" cy=\"-234\" fill=\"none\" rx=\"63.0888\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"174.8426\" y=\"-230.3\">^gradients</text>\n",
+       "</g>\n",
+       "<!-- ^gradients&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge36\">\n",
+       "<title>^gradients-&gt;gradients</title>\n",
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+       "<!-- ^gradients&#45;&gt;gradients -->\n",
+       "<g class=\"edge\" id=\"edge38\">\n",
+       "<title>^gradients-&gt;gradients</title>\n",
+       "<path d=\"M227.0987,-223.6796C238.2997,-221.1313 249.9924,-218.4351 260.8426,-216 325.3337,-201.526 399.3276,-185.702 448.4289,-174.9481\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- Neg_1&#45;&gt;mul_2 -->\n",
+       "<g class=\"edge\" id=\"edge46\">\n",
+       "<title>Neg_1-&gt;mul_2</title>\n",
+       "<path d=\"M683.874,-150.9078C646.2895,-138.2625 584.8022,-117.5752 544.0774,-103.8734\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_2&#45;&gt;weight_update -->\n",
+       "<g class=\"edge\" id=\"edge49\">\n",
+       "<title>mul_2-&gt;weight_update</title>\n",
+       "<path d=\"M470.1757,-79.6842C433.8871,-68.2246 374.656,-49.52 330.9173,-35.7078\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- Neg_2&#45;&gt;mul_3 -->\n",
+       "<g class=\"edge\" id=\"edge51\">\n",
+       "<title>Neg_2-&gt;mul_3</title>\n",
+       "<path d=\"M915.8426,-143.8314C915.8426,-136.131 915.8426,-126.9743 915.8426,-118.4166\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- mul_3&#45;&gt;bias_update -->\n",
+       "<g class=\"edge\" id=\"edge54\">\n",
+       "<title>mul_3-&gt;bias_update</title>\n",
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+       "</g>\n",
+       "<!-- NoOp -->\n",
+       "<g class=\"node\" id=\"node31\">\n",
+       "<title>NoOp</title>\n",
+       "<ellipse cx=\"957.8426\" cy=\"-882\" fill=\"none\" rx=\"38.1938\" ry=\"18\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- ^weight_update -->\n",
+       "<g class=\"node\" id=\"node32\">\n",
+       "<title>^weight_update</title>\n",
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+       "</g>\n",
+       "<!-- ^weight_update&#45;&gt;NoOp -->\n",
+       "<g class=\"edge\" id=\"edge55\">\n",
+       "<title>^weight_update-&gt;NoOp</title>\n",
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+       "<!-- ^bias_update -->\n",
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+       "<title>^bias_update</title>\n",
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+       "</g>\n",
+       "<!-- ^bias_update&#45;&gt;NoOp -->\n",
+       "<g class=\"edge\" id=\"edge56\">\n",
+       "<title>^bias_update-&gt;NoOp</title>\n",
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+       "</g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.SVG object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training loss after 0 iterations: 0.693686\n",
+      "Training loss after 100 iterations: 0.342306\n",
+      "Training loss after 200 iterations: 0.210373\n",
+      "Training loss after 300 iterations: 0.174988\n",
+      "Training loss after 400 iterations: 0.152505\n",
+      "Training loss after 500 iterations: 0.136287\n",
+      "Training loss after 600 iterations: 0.123976\n",
+      "Training loss after 700 iterations: 0.114264\n",
+      "Training loss after 800 iterations: 0.106370\n",
+      "Training loss after 900 iterations: 0.099801\n",
+      "Training loss after 1000 iterations: 0.094227\n",
+      "Training loss after 1100 iterations: 0.089424\n",
+      "Training loss after 1200 iterations: 0.085229\n",
+      "Training loss after 1300 iterations: 0.081525\n",
+      "Training loss after 1400 iterations: 0.078224\n",
+      "Training loss after 1500 iterations: 0.075257\n",
+      "Training loss after 1600 iterations: 0.072572\n",
+      "Training loss after 1700 iterations: 0.070125\n",
+      "Training loss after 1800 iterations: 0.067885\n",
+      "Training loss after 1900 iterations: 0.065823\n",
+      "Accuracy of the model is  0.93\n"
+     ]
+    }
+   ],
+   "source": [
+    "%matplotlib inline\n",
+    "from graphviz import Digraph\n",
+    "from IPython.core.display import display, SVG\n",
+    "\n",
+    "def tf_to_dot(graph):\n",
+    "    dot = Digraph()\n",
+    "\n",
+    "    for n in graph.as_graph_def().node:\n",
+    "        name = n.name.split('/')[0]\n",
+    "        dot.node(name, label=name)\n",
+    "\n",
+    "        for src in n.input:\n",
+    "            src = src.split('/')[0]\n",
+    "            if src != name:\n",
+    "                dot.edge(src, name)\n",
+    "    display(SVG(dot._repr_svg_()))\n",
+    "    return dot\n",
+    "\n",
+    "import numpy as np\n",
+    "import scipy.io\n",
+    "import matplotlib.pyplot as plt\n",
+    "import tensorflow as tf\n",
+    "\n",
+    "mat = scipy.io.loadmat('./FaceNonFace.mat')\n",
+    "\n",
+    "faces = np.rollaxis(mat[\"face\"].astype(np.uint8),-1,0)\n",
+    "non_faces = np.rollaxis(mat[\"nonFace\"].astype(np.uint8),-1,0)\n",
+    "\n",
+    "rand_idx = np.arange(0,faces.shape[0])\n",
+    "np.random.shuffle(rand_idx)\n",
+    "\n",
+    "train_test_split = 0.8\n",
+    "\n",
+    "face_split = np.int(train_test_split*faces.shape[0])\n",
+    "\n",
+    "train_faces = faces[rand_idx[:face_split]]\n",
+    "test_faces = faces[rand_idx[face_split:]]\n",
+    "\n",
+    "non_face_split = np.int(train_test_split*non_faces.shape[0])\n",
+    "train_non_faces = non_faces[rand_idx[:non_face_split]]\n",
+    "test_non_faces = non_faces[rand_idx[non_face_split:]]\n",
+    "\n",
+    "train_data = np.vstack([train_faces,train_non_faces])\n",
+    "train_labels = np.array([0]*len(train_faces)+[1]*len(train_non_faces)).astype(np.float32).reshape(-1,1)\n",
+    "\n",
+    "test_data = np.vstack([test_faces,test_non_faces])\n",
+    "test_labels = np.array([0]*len(test_faces)+[1]*len(test_non_faces)).astype(np.float32).reshape(-1,1)\n",
+    "\n",
+    "train_data = train_data.reshape(train_data.shape[0],-1).astype(np.float32)\n",
+    "test_data = test_data.reshape(test_data.shape[0],-1).astype(np.float32)\n",
+    "\n",
+    "# plt.imshow((train_data[1000].reshape(60,60,3)*255).astype(np.float32))\n",
+    "# plt.show()\n",
+    "\n",
+    "# tf.reset_default_graph()\n",
+    "def build_graph():\n",
+    "    g = tf.Graph()\n",
+    "    with g.as_default():\n",
+    "        train_x = tf.placeholder(shape=[None,train_data.shape[1]],name=\"train_data\",dtype=np.float32)\n",
+    "        train_y = tf.placeholder(shape=[None,1],name=\"train_label\",dtype=np.float32)\n",
+    "\n",
+    "\n",
+    "        train_x1 = tf.div(train_x,255.0)-0.5\n",
+    "\n",
+    "        learning_rate = tf.constant(0.05)\n",
+    "\n",
+    "        weights = tf.Variable(tf.random_normal([train_data.shape[1],1],stddev=1e-3),name=\"weights\")\n",
+    "        bias = tf.Variable(0.1,dtype=np.float32)\n",
+    "\n",
+    "        h = tf.matmul(train_x1,weights)+bias\n",
+    "        z = tf.sigmoid(h)+1e-6\n",
+    "\n",
+    "        loss = -tf.reduce_mean(train_y*tf.log(z) + (1-train_y)*tf.log(1-z))\n",
+    "        dw,db = tf.gradients(loss,[weights,bias])\n",
+    "\n",
+    "        weights_update = tf.assign_add(weights,-learning_rate*dw,name='weight_update')\n",
+    "        bias_update = tf.assign_add(bias,-learning_rate*db,name='bias_update')\n",
+    "\n",
+    "        with tf.control_dependencies([weights_update,bias_update]):\n",
+    "            train_op = tf.no_op()\n",
+    "        tf_to_dot(g)\n",
+    "        return (g,loss,train_op,train_x,train_y,z)\n",
+    "\n",
+    "(g,loss,train_op,train_x,train_y,z) = build_graph()\n",
+    "\n",
+    "with g.as_default():\n",
+    "    with tf.Session() as sess:\n",
+    "        sess.run(tf.global_variables_initializer())\n",
+    "        for i in xrange(2000):\n",
+    "            l,_ = sess.run([loss,train_op],feed_dict={train_x:train_data,train_y:train_labels})\n",
+    "            if i%100 == 0:\n",
+    "                print 'Training loss after %d iterations: %f'%(i,l)\n",
+    "\n",
+    "        y_ = sess.run(z,feed_dict = {train_x:test_data})\n",
+    "        y_ = y_ > 0.5\n",
+    "        accuracy = np.sum((y_ == (test_labels > 0)),0)[0]/(y_.shape[0]*1.0)\n",
+    "        print 'Accuracy of the model is ',accuracy\n"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -376,7 +1062,7 @@
  "metadata": {
   "kernelspec": {
    "display_name": "Python 2",
-   "language": "python2",
+   "language": "python",
    "name": "python2"
   },
   "language_info": {
diff --git a/LinearAlgebra.ipynb b/LinearAlgebra.ipynb
index 8049e9a..e623eb8 100644
--- a/LinearAlgebra.ipynb
+++ b/LinearAlgebra.ipynb
@@ -488,7 +488,7 @@
     "import numpy as np\n",
     "import pickle\n",
     "\n",
-    "faces = pickle.load(open('Linear Algebra KB v1.0/faces.pkl'))\n",
+    "faces = pickle.load(open('faces.pkl'))\n",
     "\n",
     "(num_of_images,height,width,clr_channels) = faces.shape #First dimension shows the number of face images we have.\n",
     "\n",
@@ -903,7 +903,7 @@
     "import pickle\n",
     "import matplotlib.pyplot as plt\n",
     "\n",
-    "faces = pickle.load(open('Linear Algebra KB v1.0/faces.pkl'))\n",
+    "faces = pickle.load(open('faces.pkl'))\n",
     "\n",
     "(num_of_images,height,width,clr_channels) = faces.shape \n",
     "\n",
@@ -1058,7 +1058,7 @@
  "metadata": {
   "kernelspec": {
    "display_name": "Python 2",
-   "language": "python2",
+   "language": "python",
    "name": "python2"
   },
   "language_info": {