{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analysing training dynamics using HSIC Criterion\n",
    "\n",
    "This notebook explains how we can analyse training process by using calculating HSIC criterion as measure of dependence between hidden representation and output label (generalization) and between hidden representation and input variable (complexity) and obtaining 2-D training trajectory in information plane (we will continue calling it information plane even though HSIC criterion has no counter part in information theory).  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Importing glow modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing PyGlow modules\n",
    "import glow\n",
    "from glow.layers import Dense, Dropout, Conv2d, Flatten\n",
    "from glow.datasets import mnist, cifar10\n",
    "from glow.models import IBSequential\n",
    "from glow.information_bottleneck.estimator import HSIC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hyperparameter\n",
    "batch_size = 64\n",
    "num_workers = 3\n",
    "validation_split = 0.2\n",
    "num_epochs = 7\n",
    "\n",
    "# load the dataset\n",
    "train_loader, val_loader, test_loader = mnist.load_data(\n",
    "    batch_size=batch_size, num_workers=num_workers, validation_split=validation_split\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IB based Sequential Model - IBSequential\n",
    "IBSequential is keras like Sequential model with extended functionalities which support tracking of training dynamics using evaluators (instances of glow.information_bottleneck.Estimator). It evaluates the dynamics using criterion defined in the evaluator and obtain 2-D information plane coordinates (x-axis - complexity and y-axis - generalization)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running on CUDA enabled device !\n"
     ]
    }
   ],
   "source": [
    "model = IBSequential(input_shape=(1, 28, 28), gpu=True, track_dynamics=True, save_dynamics=True)\n",
    "model.add(Conv2d(filters=16, kernel_size=3, stride=1, padding=1, activation='relu'))\n",
    "model.add(Flatten())\n",
    "model.add(Dense(1000, activation='relu'))\n",
    "model.add(Dense(500, activation='relu'))\n",
    "model.add(Dense(200, activation='relu'))\n",
    "model.add(Dense(10, activation='softmax'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Attaching dynamics evaluator to the model\n",
    "Attaching HSIC evaluator to the model. You can also use your custom criterion for evaluating the training dynamics (to know how refer Custom_criterion_class.ipynb notebook)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compile the model\n",
    "model.compile(optimizer='SGD', loss='cross_entropy', metrics=['accuracy'])\n",
    "model.attach_evaluator(HSIC(kernel='gaussian', gpu=True, sigma=5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "Epoch 1/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [04:07<00:00,  3.07it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 2.29 - acc: 0.30\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:03<00:00, 60.52it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 2.24 - acc: 0.22\n",
      "\n",
      "\n",
      "Epoch 2/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [04:01<00:00,  3.14it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.97 - acc: 0.72\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:02<00:00, 65.85it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.77 - acc: 0.59\n",
      "\n",
      "\n",
      "Epoch 3/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [04:08<00:00,  2.57it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.71 - acc: 0.83\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:03<00:00, 54.04it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.67 - acc: 0.88\n",
      "\n",
      "\n",
      "Epoch 4/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [04:05<00:00,  3.16it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.60 - acc: 0.88\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:02<00:00, 64.31it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.58 - acc: 0.94\n",
      "\n",
      "\n",
      "Epoch 5/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [04:03<00:00,  2.94it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.57 - acc: 0.91\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:02<00:00, 68.08it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.56 - acc: 0.88\n",
      "\n",
      "\n",
      "Epoch 6/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [03:56<00:00,  2.94it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.56 - acc: 0.91\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:02<00:00, 63.58it/s]\n",
      "  0%|          | 0/750 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.56 - acc: 0.84\n",
      "\n",
      "\n",
      "Epoch 7/7\n",
      "Training loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 750/750 [03:56<00:00,  3.27it/s]\n",
      "  0%|          | 0/188 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.55 - acc: 0.92\n",
      "Validation loop: \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 188/188 [00:02<00:00, 68.21it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "loss: 1.57 - acc: 0.81\n"
     ]
    }
   ],
   "source": [
    "# train the model along with calculating dynamics\n",
    "model.fit_generator(train_loader, val_loader, num_epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluated Dynamics\n",
    "The evaluated dynamics is a numpy array with shape (N, E, L, 2) where:\n",
    "- N: Number of epochs\n",
    "- E: Number of evaluators attached\n",
    "- L: Number of layers (which have parameters - Dropout and Flatten not included)\n",
    "\n",
    "Last dimension is 2 because it represents 2-D coordinates (calculated using criterion used) in information plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(7, 1, 5, 2)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "evaluated_dynamics = np.mean((model.evaluated_dynamics), 1)  # averaged over batches\n",
    "print(evaluated_dynamics.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting calculated coordinates on information plane"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 1\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 2\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 3\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 4\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 5\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "for evaluator_idx in range(1):\n",
    "    for layer_idx in range(model.num_layers-1):\n",
    "        print(\"layer no. :\", layer_idx + 1)\n",
    "        I_x_axis = []\n",
    "        I_y_axis = []\n",
    "        for epoch in range(num_epochs):\n",
    "            I_x = evaluated_dynamics[epoch][evaluator_idx][layer_idx][0].item()\n",
    "            I_y = evaluated_dynamics[epoch][evaluator_idx][layer_idx][1].item()\n",
    "            I_x_axis.append(I_x)\n",
    "            I_y_axis.append(I_y)\n",
    "            \n",
    "        plt.title(\"compression measure vs generalization measure\")\n",
    "        plt.xlabel(\"HSIC(H, X)\")\n",
    "        plt.ylabel(\"HSIC(H, Y)\")\n",
    "        plt.grid(True)\n",
    "        plt.plot(I_x_axis, I_y_axis)\n",
    "        plt.show()\n",
    "        \n",
    "# NOTE: Epochs is increasing from bottom to upward in the plots."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inference\n",
    "As you can observe that initial layers immediately start increasing HSIC(H, Y) and at the same time, decreases HSIC(H, X) (decrease the complexity of representation) but later layers have two phase training in which it first generalizes rapidly at the cost of increasing complexity of representation (generalization phase) but then after aquiring enough generalization abilities it tries to compress the representation and thus decrease the complexity (compression phase). These observations are given in Tishby's paper [Opening the black box of Deep Neural Networks via Information](https://arxiv.org/abs/1703.00810). This paper used mutual information as the dependence criterion but in this notebook we have used HSIC criterion to obtain the information plane trajectories.\n",
    "\n",
    "Our model is first increasing both the measures and then it is further increasing complexity of representation with decreasing the generalization ability and this is expected as no regularization is used in training the model. Now following is the same plots of HSIC(H, X) and HSIC(H, Y) vs epochs which will make things more clear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 1\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 2\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 3\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEWCAYAAACJ0YulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3XucHHWZ7/HPNyFIYICogRGSSBBiDghKmAgqrmYQJShCDsIKShRcjJ5jULygRN0IHF3wfo0XRFQUGRWQzWrW6EIGVo9AEkBigGiWawj3+2CQEJ79o35TWw490zM9qemeyvf9evUrdflV1fN0d/qZ+v26qxQRmJmZAYxpdgBmZtY6XBTMzCznomBmZjkXBTMzy7komJlZzkXBzMxyLgrWEElTJYWkrZody5ZE0rcl/XOz47Dqkn+nYI2QNBW4FRgXEU83Nxoz21x8pmBWAmX8/6skPkMtj9+0FSFpV0kXS7pf0q2S3l9Yd7qkiyT9VNLjkq6V9LLC+r0kdUt6RNJqSUcU1o2X9EVJt0t6VNLvJI0vHPrtku6Q9ICkTxS2O0DSCkmPSbpX0pf6ifsmSYcX5rdK+9pf0jaSfizpwRTbcknt/exniqRLUv4PSvpGWj5G0idT/PdJOl/SjmldbxfYiZLulPSwpPdKermkG9Ixv1E4xgmSfi/p6+m5uFnS6wrruyV9RtLvgb8CL5K0o6TvSbpb0l2SPi1pbGq/p6Qr0r4ekPTTtFySvpzifTTFsk9a9wNJny4c892S1kp6SNJiSbsW1kXK5y8pt0WS1M/zd7qkn6fn+3FJqyS9WNKCFMedkt5QaD9QXntIujy9Dg9IukDShMK2H0vbPC5pTe9zWCO3WZLWFeZvS9veADyR3iv9vu+tQRHhxyh/kBX3lcBCYGvgRcAtwKFp/enARuBoYBzwEVLXT3qsBT6etj0YeByYnrZdBHQDk4CxwKuA5wBTgQC+C4wHXgb8DdgrbfcHYG6abgNe0U/sC4ELCvNvAm5O0+8B/g3YNh27A9ihxj7GAn8EvgxsB2wDvDqte1fK70UpjkuAH6V1vTl8O23zBuBJ4FJg55TzfcBrU/sTgKeBD6bn7a3Ao8Dz0vpu4A7gJcBWqc2lwHdSXDsD1wDvSe0vBD6RXr9izIem13MCIGAvYJe07gfAp9P0wcADwP7pNfk6cGXheQngl2k/LwTuB2b38zqcnnI/NMV+Ptl75BMpj3cDtxbaD5TXnsDrU0w7AVcCX0nrpgN3ArsWXoM9+uaW5mcB6wrztwHXA1PI3nMDvu/9aPDzpNkB+LEZXkQ4ELijz7IFwPfT9OnAVYV1Y4C7gX9Ij3uAMYX1F6ZtxgAbgJfVOObU9KEzubDsGuDYNH0lcAYwsU7se5IVoW3T/AXAwjT9LuD/Ay+ts49Xpg+8rWqsuwz4v4X56WQFcqtCDpMK6x8E3lqYvxg4JU2fAKwnjcUVcu4tft3AmYV17WSFcnxh2XHAsjR9PnBO8TlMyw8G/gy8ovi6pHX5ByfwPeBzhXVtKbepaT5IhSbN/ww4rZ/n8HTgt4X5NwM9wNg0v33a34R6edXY9xzgusLrfR9wCNl4VM3c0vwsnl0U3jXY970fjT3cfVQNuwG7pu6ORyQ9QvaXf7Gr5c7eiYh4BlgH7Joed6ZlvW4n+yt5ItlfsP81wLHvKUz/leyDCeCfgBcDN6dun8OftWUWy1rgJuDNkrYFjgB+klb/CFgKdElaL+lzksbV2M0U4PaoPeC9a8qnmNtW/P1zc29hekON+bbC/F2RPn0K+9u1MH9nYXo3sr+y7y68Lt8h+8sa4KNkZwLXKOu2exdARFwOfIPsLO1eSedI2qFebhHRQ1bUJhXa9Pf61NI37wciYlNhnrT9gHlJ2llSV+oiegz4Mdl7qff1PoWsCN2X2hWfv3r6Pr/13vc2RC4K1XAn2an9hMJj+4h4Y6HNlN4JZQOgk8n+6l0PTNHfD4q+ELiLrGviSWCPoQYUEX+JiOPIPig+C1wkabt+ml9I9pfmkcCN6YODiNgYEWdExN5k3VaHA+/oJ/8Xqvbg43qyD49ibk/z9x+AQzGpT7/8C9MxehULxp1kf1FPLLwuO0TESwAi4p6IeHdE7ErWVfZNSXumdV+LiA6yrqgXA6fWyy09v88ne+3KNGBewFlkz8NLI2IH4Hiy4gdARPwkIl6dYg+y9wfAE2Rdhb1eUOPYfZ/feu97GyIXhWq4BngsDcKNlzRW0j6SXl5o0yHpqPTBeQrZf+qrgKvJ/jN+VNI4SbPIug660tnDecCX0oDeWEmvlPScegFJOl7STmkfj6TFm/pp3kXWn/9/+J+zBCR1Sto3DWA+RtY1Umsf15B1h50taTtlA9QHpXUXAh+UtLukNuBfgJ/2c1YxGDsD70/P1TFk/f1LajWMiLuB3wBflLSDskHvPSS9NuV3jKTJqfnDZB94m5QNdB+YzoqeICvMtfL+CXCipP3Sa/IvwNURcVuDuQ1KvbzIupp6gEckTaJQ0CRNl3RwivdJsjOQ3tyuB94o6XmSXkD2Ph3IYN73NkQuChWQTvHfDOxHNjj4AHAusGOh2b+SDYw+DMwFjkp/iT9F1mVzWNrum8A7IuLmtN1HgFXAcuAhsr/qBvO+mQ2sltQDfJVsrOHJfuK/m2xg+lXATwurXgBcRFYQbgKuIOuK6C//PckGetelXCEraj8iG+O4leyD6ORBxN+fq4FpZM/VZ4CjI+LBAdq/g2wQ9Eay5/4iYJe07uXA1ek5Wgx8ICJuBXYgG8B/mKx76EHgC313HBGXAf9MNu5xN9kZ3bHDyG0oBsrrDLLB70eBX5EN7vd6DnA22fN3D1mR/Xha9yOyLwzcRlZ0iu+FZxnk+96GyD9e2wJIOh3YMyKOb3Yso5mkE4CTUteHWSX5TMHMzHIuCmZmlnP3kZmZ5XymYGZmuVF3UamJEyfG1KlTG97+iSeeYLvt+vu6/OhRlTygOrlUJQ9wLq1ouHmsXLnygYjYqV67UVcUpk6dyooVKxrevru7m1mzZm2+gJqkKnlAdXKpSh7gXFrRcPOQdHv9Vu4+MjOzAhcFMzPLuSiYmVnORcHMzHIuCmZmlnNRMDOznIuCmZnlXBTMzCznomBmZjkXBWuaS6+7i4POvpxVdz3KQWdfzqXXlX0XSTOrZ9Rd5sKq4dLr7mLBJavYsHETTIG7HtnAgktWATBnxqQ6W5tZWXymYE3x+aVrsoJQsGHjJj6/dE2TImqcz3isSlwUrCnWP7JhSMtbVe8Zz10p7t4zntFaGFzgzEXBmmLXCeOHtLxVVe2MxwWu9Yx0Hi4K1hSnHjqd8ePG/t2y8ePGcuqh05sUUWOqcsYDLnCtqBl5uChYU8yZMYmzjtqXSenMYNKE8Zx11L6jbpC5Kmc84ALXipqRR2lFQdJ5ku6T9Kd+1kvS1yStlXSDpP3LisVa05wZk/j9aQez76Qd+f1pB4+6ggDVOeMBF7hW1Iw8yjxT+AEwe4D1hwHT0mMe8K0SYzErRVXOeMAFrhU1I4/SikJEXAk8NECTI4HzI3MVMEHSLmXFY1aWKpzxgAtcK2pGHoqI8nYuTQV+GRH71Fj3S+DsiPhdmr8M+FhEPOsGzJLmkZ1N0N7e3tHV1dVwTD09PbS1tTW8fauoSh5QnVyqkgdUI5dHNmzk3kef5LlbP8PDT42hfcdtmDB+XLPDGrLNlUdnZ+fKiJhZr10zf9GsGstqVqiIOAc4B2DmzJkxnJtX+yberacquVQlD6heLv9YgVxGKo9mfvtoHTClMD8ZWN+kWMzMjOYWhcXAO9K3kF4BPBoRdzcxHjOzLV5p3UeSLgRmARMlrQM+BYwDiIhvA0uANwJrgb8CJ5YVi5mZDU5pRSEijquzPoD3lXV8MzMbOv+i2czMci4KZmaWc1EwM7Oci4KZmeVcFMzMLOeiMMpU5cYhZtaamnmZCxsi3+zezMrmM4VRpCo3DjGz1uWiMIpU5cYhZta6XBRGkarcOMTMWpeLwihSlRuHmFnr8kDzKNI7mJyNITzOpAnjOfXQ6R5kNrPNxkVhlJkzYxJzZkyiu7ubk98+q9nhmFnFuPvIzMxyLgpmZpZzUTAzs1ypRUHSbElrJK2VdFqN9btJukzSDZK6JU0uMx4zMxtYaUVB0lhgEXAYsDdwnKS9+zT7AnB+RLwUOBM4q6x4zMysvjLPFA4A1kbELRHxFNAFHNmnzd7AZWl6WY31ZmY2gsosCpOAOwvz69Kyoj8Cb0nT/xvYXtLzS4zJzMwGoIgoZ8fSMcChEXFSmp8LHBARJxfa7Ap8A9gduJKsQLwkIh7ts695wDyA9vb2jq6urobj6unpoa2treHtW0VV8oDq5FKVPMC5tKLh5tHZ2bkyImbWbRgRpTyAVwJLC/MLgAUDtG8D1tXbb0dHRwzHsmXLhrV9q6hKHhHVyaUqeUQ4l1Y03DyAFTGIz+4yu4+WA9Mk7S5pa+BYYHGxgaSJknpjWACcV2I8ZmZWR2lFISKeBuYDS4GbgJ9FxGpJZ0o6IjWbBayR9GegHfhMWfGYmVl9pV77KCKWAEv6LFtYmL4IuKjMGMzMbPD8i2YzM8u5KJiZWc5FwczMci4KZmaWc1EwM7Oci4KZmeVcFMzMLOeiYGZmORcFMzPLuSiYmVnORcHMzHIuCmZmlnNRMDOznIuCmZnlXBTMzCznomBmZjkXBTMzy5VaFCTNlrRG0lpJp9VY/0JJyyRdJ+kGSW8sMx4zMxtYaUVB0lhgEXAYsDdwnKS9+zT7JNm9m2cAxwLfLCseMzOrr8wzhQOAtRFxS0Q8BXQBR/ZpE8AOaXpHYH2J8ZiZWR2KiHJ2LB0NzI6Ik9L8XODAiJhfaLML8BvgucB2wCERsbLGvuYB8wDa29s7urq6Go6rp6eHtra2hrdvFVXJA6qTS1XyAOfSioabR2dn58qImFm3YUSU8gCOAc4tzM8Fvt6nzYeAD6fpVwI3AmMG2m9HR0cMx7Jly4a1fauoSh4R1cmlKnlEOJdWNNw8gBUxiM/uMruP1gFTCvOTeXb30D8BPwOIiD8A2wATS4zJzMwGUGZRWA5Mk7S7pK3JBpIX92lzB/A6AEl7kRWF+0uMyczMBlBaUYiIp4H5wFLgJrJvGa2WdKakI1KzDwPvlvRH4ELghHSaY2ZmTbBVmTuPiCXAkj7LFhambwQOKjMGMzMbPP+i2czMci4KZmaWc1EwM7Oci4KZmeVcFMzMLOeiYGZmORcFMzPLDakoSNouXRLbzMwqaMCiIGmMpLdJ+pWk+4CbgbslrZb0eUnTRiZMMzMbCfXOFJYBewALgBdExJSI2Bn4B+Aq4GxJx5cco5mZjZB6l7k4JCI29l0YEQ8BFwMXSxpXSmRmZjbi6p0p7NffinTTHGoVDTMzG53qFYXvSfqWpAm9CyTtI+lK4C3lhmZmZiOtXlHYn+yeB9dJepekL5N1G30uIuaUHp2ZmY2oAccU0j0RzpL0NHAu2Z3TDoiIvndQMzOzCqj3ldQ9JC0FOoG9gC8AV0o6cSSCMzOzkVWv+2gp8N2IeGNErImIrwCvAQ6V9PvywzMzs5FU7yup+0VET3FB6jo6VtIh9XYuaTbwVWAscG5EnN1n/ZfJzkIAtgV2jogJmJlZU9QbU+gZYN1/DLRtuhzGIuD1wDpguaTF6Racvfv4YKH9ycCMQcZtZmYlKPOCeAcAayPiloh4CugCjhyg/XHAhSXGY2ZmdSgiytmxdDQwOyJOSvNzgQMjYn6NtruRXTZjckRsqrF+HjAPoL29vaOrq6vhuHp6emhra2t4+1ZRlTygOrlUJQ9wLq1ouHl0dnaujIiZ9drVG1MYDtVY1l8FOha4qFZBAIiIc4BzAGbOnBmzZs1qOKju7m6Gs32rqEoeUJ1cqpIHOJdWNFJ5NNR9JOmm9HjWX/0F64AphfnJZL9zqOVY3HVkZtZ0DRWFiNiL7Eqptw7QbDkwTdLukrYm++Bf3LeRpOnAc4E/NBKLmZltPg0PNEfEAxHxqwHWPw3MJ/utw03AzyJitaQzJR1RaHoc0BVlDW6YmdmgDTimIOlxao8DCIiI2GGg7SNiCbCkz7KFfeZPH1SkZmZWunq/U9i+d1rSdRHh3xGYmVXYULqP3L1jZlZxZf54zczMRpl6YwpHFWYn9JknIi4pJSozM2uKej9ee3Nh+oo+8wG4KJiZVUi9gWbfN8HMbAtS7yY7x0vqt026Cc+rN39YZmbWDPW6j55Pdn/mlcBK4H5gG2BP4LXAA8BppUZoZmYjpl730VclfQM4GDgIeCmwgewXynMj4o7yQzQzs5FS9yqp6cqlv00PMzOrsHpjCp+T9N4ayz8o6bPlhWVmZs1Q78drh5PuY9DHV4E3bf5wzMysmeoVhYiIZ2osfIbaN9ExM7NRrF5R+KukaX0XpmUbygnJzMyapd5A80Lg3yV9muwrqQAzgQXAKWUGZmZmI6/eV1L/XdIc4FTg5LR4NfCWiFhVdnBmZjayBvOV1D8B7xyBWMzMrMnqXSX13xjgPgoRcUR/69L2s8m+qTQWODcizq7R5h+B09Nx/hgRb6sftpmZlaHemcIXGt2xpLHAIuD1wDpguaTFEXFjoc00svGJgyLiYUk7N3o8MzMbvnpjClcU5yWNA/YB7oqI++rs+wBgbUTckrbtAo4Ebiy0eTewKCIeTsert08zMyuRIvq/y6akbwNfj4jVknYE/gBsAp4HfCQiLhxg26OB2RFxUpqfCxwYEfMLbS4F/kx2XaWxwOkR8esa+5oHzANob2/v6OrqGnKivXp6emhra2t4+1ZRlTygOrlUJQ9wLq1ouHl0dnaujIiZdRtGRL8PYHVh+hTg0jT9AuC6OtseQzaO0Ds/l6zAFNv8EvgFMA7YnaybacJA++3o6IjhWLZs2bC2bxVVySOiOrlUJY8I59KKhpsHsCIG+GztfdT78dpThenXA5emQnLPIArTOmBKYX4ysL5Gm3+NiI0RcSuwBnjWj+XMzGxk1CsKj0g6XNIMsi6eXwNI2goYX2fb5cA0SbtL2ho4Fljcp82lQGfa50TgxcAtQ0vBzMw2l3rfPnoP8DWy7qJTCmcIrwN+NdCGEfG0pPnAUrLxgvMiG5s4k+w0ZnFa9wZJN5KNVZwaEQ82no6ZmQ1HvW8f/RmYXWP5UrIP9AFFxBJgSZ9lCwvTAXwoPczMrMnq/Xjt6wz847X3b/aIzMysaep1H60oTJ8BfKrEWMzMrMnqdR/9sHda0inFeTMzq5563z4q6v9XbmZmVglDKQpmZlZx9QaaH+d/zhC2lfRY7yqyLw/tUGZwZmY2suqNKWw/UoGYmVnzufvIzMxyLgpmZpZzUTAzs5yLgpmZ5VwUzMws56JgZmY5FwUzM8u5KJiZWc5FwczMcqUWBUmzJa2RtFbSaTXWnyDpfknXp8dJZcZjZmYDq3c/hYZJGgssAl4PrAOWS1ocETf2afrTiJhfVhxmZjZ4ZZ4pHACsjYhbIuIpoAs4ssTjmZnZMCm7TXIJO5aOBmZHxElpfi5wYPGsQNIJwFnA/cCfgQ9GxJ019jUPmAfQ3t7e0dXV1XBcPT09tLW1Nbx9q6hKHlCdXKqSBziXVjTcPDo7O1dGxMy6DSOilAdwDHBuYX4u8PU+bZ4PPCdNvxe4vN5+Ozo6YjiWLVs2rO1bRVXyiKhOLlXJI8K5tKLh5gGsiEF8dpfZfbQOmFKYnwys71OQHoyIv6XZ7wIdJcZjZmZ1lFkUlgPTJO0uaWvgWGBxsYGkXQqzRwA3lRiPmZnVUdq3jyLiaUnzgaXAWOC8iFgt6Uyy05jFwPslHQE8DTwEnFBWPGZmVl9pRQEgIpYAS/osW1iYXgAsKDMGMzMbPP+i2czMci4KZmaWc1EwM7Oci4KZmeVcFMzMLOeiYGZmORcFMzPLuSiYmVnORcHMzHIuCmZmlnNRMDOznIuCmZnlXBTMzCznomBmZjkXBTMzy7komJlZzkXBzMxypRYFSbMlrZG0VtJpA7Q7WlJImllmPGZmNrDSioKkscAi4DBgb+A4SXvXaLc98H7g6rJiMTOzwSnzTOEAYG1E3BIRTwFdwJE12v0/4HPAkyXGYmZmg6CIKGfH0tHA7Ig4Kc3PBQ6MiPmFNjOAT0bEWyR1Ax+JiBU19jUPmAfQ3t7e0dXV1XBcPT09tLW1Nbx9q6hKHlCdXKqSBziXVjTcPDo7O1dGRN0u+q0aPkJ9qrEsr0CSxgBfBk6ot6OIOAc4B2DmzJkxa9ashoPq7u5mONu3iqrkAdXJpSp5gHNpRSOVR5ndR+uAKYX5ycD6wvz2wD5At6TbgFcAiz3YbGbWPGUWheXANEm7S9oaOBZY3LsyIh6NiIkRMTUipgJXAUfU6j4yM7ORUVpRiIingfnAUuAm4GcRsVrSmZKOKOu4ZmbWuDLHFIiIJcCSPssW9tN2VpmxmJlZff5Fs5mZ5VwUzMws56JgZmY5FwUzM8u5KJiZWc5FwczMci4KZmaWc1EwM7Oci4KZmeVcFMzMLOeiYGZmORcFMzPLuSiYmVnORcHMzHIuCmZmlnNRMDOznIuCmZnlSi0KkmZLWiNpraTTaqx/r6RVkq6X9DtJe5cZj5mZDay0oiBpLLAIOAzYGziuxof+TyJi34jYD/gc8KWy4jEzs/rKPFM4AFgbEbdExFNAF3BksUFEPFaY3Q6IEuMxM7M6FFHO57Cko4HZEXFSmp8LHBgR8/u0ex/wIWBr4OCI+EuNfc0D5gG0t7d3dHV1DTmeRzZs5N5Hn+S5Wz/Dw0+NoX3HbZgwftyQ99Mqenp6aGtra3YYm0VVcqlKHuBcWtFw8+js7FwZETPrtduq4SPUpxrLnlWBImIRsEjS24BPAu+s0eYc4ByAmTNnxqxZs4YUyKXX3cWCy1axYeMYPrzvM3xx1RjGj9vEWUftzZwZk4a0r1bR3d3NUJ+HVlWVXKqSBziXVjRSeZTZfbQOmFKYnwysH6B9FzCnjEA+v3QNGzZu+rtlGzZu4vNL15RxODOzUavMorAcmCZpd0lbA8cCi4sNJE0rzL4JeFbX0eaw/pENQ1puZralKq37KCKeljQfWAqMBc6LiNWSzgRWRMRiYL6kQ4CNwMPU6DraHHadMJ67ahSAXSeML+NwZmajVpljCkTEEmBJn2ULC9MfKPP4vU49dDoLLln1d11I48eN5dRDp4/E4c3MRo1Si0Kr6B1MzsYQHmfShPGceuj0UTvIbGZWli2iKEBWGObMmER3dzcnv31Ws8MxM2tJvvaRmZnlXBTMzCznomBmZjkXBTMzy7komJlZzkXBzMxyLgpmZpZzUTAzs5yLgpmZ5Uq7yU5ZJN0P3D6MXUwEHthM4TRTVfKA6uRSlTzAubSi4eaxW0TsVK/RqCsKwyVpxWDuPtTqqpIHVCeXquQBzqUVjVQe7j4yM7Oci4KZmeW2xKJwTrMD2EyqkgdUJ5eq5AHOpRWNSB5b3JiCmZn1b0s8UzAzs364KJiZWW6LKQqSzpN0n6Q/NTuW4ZA0RdIySTdJWi1pRO5zXQZJ20i6RtIfUy5nNDum4ZA0VtJ1kn7Z7FiGQ9JtklZJul7SimbH0yhJEyRdJOnm9P/llc2OqRGSpqfXovfxmKRTSjveljKmIOk1QA9wfkTs0+x4GiVpF2CXiLhW0vbASmBORNzY5NCGTJKA7SKiR9I44HfAByLiqiaH1hBJHwJmAjtExOHNjqdRkm4DZkbEqP7Bl6QfAv8ZEedK2hrYNiIeaXZcwyFpLHAXcGBEDOdHvP3aYs4UIuJK4KFmxzFcEXF3RFybph8HbgImNTeqxkSmJ82OS49R+VeKpMnAm4Bzmx2LgaQdgNcA3wOIiKdGe0FIXgf8V1kFAbagolBFkqYCM4CrmxtJ41KXy/XAfcBvI2K05vIV4KPAM80OZDMI4DeSVkqa1+xgGvQi4H7g+6lL71xJ2zU7qM3gWODCMg/gojBKSWoDLgZOiYjHmh1PoyJiU0TsB0wGDpA06rr2JB0O3BcRK5sdy2ZyUETsDxwGvC91vY42WwH7A9+KiBnAE8BpzQ1peFIX2BHAz8s8jovCKJT63y8GLoiIS5odz+aQTu27gdlNDqURBwFHpL74LuBgST9ubkiNi4j16d/7gF8ABzQ3ooasA9YVzjwvIisSo9lhwLURcW+ZB3FRGGXS4Oz3gJsi4kvNjmc4JO0kaUKaHg8cAtzc3KiGLiIWRMTkiJhKdnp/eUQc3+SwGiJpu/QFBlJ3yxuAUfeNvYi4B7hT0vS06HXAqPsyRh/HUXLXEWSnWFsESRcCs4CJktYBn4qI7zU3qoYcBMwFVqW+eICPR8SSJsbUqF2AH6ZvVIwBfhYRo/rrnBXQDvwi+9uDrYCfRMSvmxtSw04GLkjdLrcAJzY5noZJ2hZ4PfCe0o+1pXwl1czM6nP3kZmZ5VwUzMws56JgZmY5FwUzM8u5KJiZWc5FwWyIJM0azJVQJZ0p6ZAh7vs2SRMbj85seLaY3ymYjbSIWNjsGMyGymcKVkmSjk/3arhe0nfSD+SQ1CPpi5KulXSZpJ3S8v0kXSXpBkm/kPTctHxPSf+R7vlwraQ90iHaCtfqvyD90rxvDD+QdHSavk3SGWkfqyT9r7T8+ZJ+ky7a9h1Ahe2flYOk3ST9RdJESWMk/aekN5T7bNqWxEXBKkfSXsBbyS7sth+wCXh7Wr0d2fVj9geuAD6Vlp8PfCwiXgqsKiy/AFgUES8DXgXcnZbPAE4B9ia7IudBgwjtgXTcbwEfScs+BfwuXbRtMfDCgXJIl0z+LPBt4MPAjRHxm8E+N2b1uPvIquh1QAewPP0BP57s0tyQXdr6p2n6x8AlknYEJkTEFWn5D4Gfp2sATYqIXwBExJMAaZ/XRMS6NH89MJXsJkED6b144UrgqDT9mt7piPiVpIfr5ZBuGnMM8F5gv0E9I2aD5KJgVSTghxGxYBBtB7rOy7O6hAr+VpjexOD+L/Vu07d9rRj6zSFdB2dymm0DHh/Esc0Gxd1HVkWXAUdL2hlA0vMk7ZbWjQGOTtNvI+u6eRR4WNI/pOVzgSvSfSrWSZqT9vOc9IG8OV1J6tqSdBjw3EHk8Fmybq2FwHc3czxbe95JAAAAlklEQVS2hfOZglVORNwo6ZNkdw8bA2wE3gfcTnazlZdIWgk8StZvD/BO4NvpQ794Rc25wHcknZn2c8xmDvcM4EJJ15KNcdwxUA7pbnsvJxtr2CTpLZJOjIjvb+a4bAvlq6TaFkVST0S0NTsOs1bl7iMzM8v5TMHMzHI+UzAzs5yLgpmZ5VwUzMws56JgZmY5FwUzM8v9N0Cazpx5y0G1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 4\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer no. : 5\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for evaluator_idx in range(1):\n",
    "    for layer_idx in range(model.num_layers-1):\n",
    "        print(\"layer no. :\", layer_idx + 1)\n",
    "        epoch_axis = []\n",
    "        I_x_axis = []\n",
    "        I_y_axis = []\n",
    "        for epoch in range(num_epochs):\n",
    "            I_x = evaluated_dynamics[epoch][evaluator_idx][layer_idx][0].item()\n",
    "            I_y = evaluated_dynamics[epoch][evaluator_idx][layer_idx][1].item()\n",
    "            epoch_axis.append(epoch + 1)\n",
    "            I_x_axis.append(I_x)\n",
    "            I_y_axis.append(I_y)\n",
    "            \n",
    "        plt.title(\"epochs vs compression measure\")\n",
    "        plt.xlabel(\"epoch index\")\n",
    "        plt.ylabel(\"HSIC(H, X)\")\n",
    "        plt.grid(True)\n",
    "        plt.scatter(epoch_axis, I_x_axis)\n",
    "        plt.show()\n",
    "        \n",
    "        plt.title(\"epochs vs generalization measure\")\n",
    "        plt.xlabel(\"epoch index\")\n",
    "        plt.ylabel(\"HSIC(H, Y)\")\n",
    "        plt.grid(True)\n",
    "        plt.scatter(epoch_axis, I_y_axis)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Observations\n",
    "As you can observe for later layers, compression is increasing (complexity of representation is increasing) along with decrement in generalization abilities. This tells us that standard loss functions used for training deep neural networks without regularization is not sufficient to capture the optimality of intermediate representations which in turn governs the generalization ability of the model (optimal trajectory in information plane according to IB-theory). \n",
    "\n",
    "* Note that here we have not used any external regularization technique to train the network (no dropout used). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Future work\n",
    "You can now try using some regularization like dropout and observe the information plane trajectory. You can further change your dependence criterion itself and again obtain the trajectories. You can infer from that how different changes are affecting generalization and compression ability of model."
   ]
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}