new_net.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torchvision\n",
    "import torchvision.transforms as transforms\n",
    "import torch.optim as optim\n",
    "\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Net(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(Net, self).__init__()\n",
    "        self.conv1 = nn.Conv2d(3, 6, 5)\n",
    "        self.pool = nn.MaxPool2d(2, 2)\n",
    "        self.conv2 = nn.Conv2d(6, 16, 5)\n",
    "        self.fc1 = nn.Linear(16 * 5 * 5, 120)\n",
    "        self.fc2 = nn.Linear(120, 84)\n",
    "        self.fc3 = nn.Linear(84, 10)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.pool(F.relu(self.conv1(x)))\n",
    "        x = self.pool(F.relu(self.conv2(x)))\n",
    "        x = x.view(-1, 16 * 5 * 5)\n",
    "        x = F.relu(self.fc1(x))\n",
    "        x = F.relu(self.fc2(x))\n",
    "        x = self.fc3(x)\n",
    "        return x\n",
    "\n",
    "\n",
    "net = Net()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "mask = list()\n",
    "for param in net.parameters():\n",
    "    mask.append(np.random.binomial(1, 0.25, size=(param.detach().numpy()).shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "        [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0,\n",
       "         0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0,\n",
       "         0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,\n",
       "         0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1],\n",
       "        [0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0,\n",
       "         0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0,\n",
       "         1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,\n",
       "         0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0],\n",
       "        [0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1,\n",
       "         0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\n",
       "         0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "         1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1],\n",
       "        [0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0,\n",
       "         1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0,\n",
       "         0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0,\n",
       "         0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],\n",
       "        [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1,\n",
       "         0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1,\n",
       "         1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1,\n",
       "         0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0]]),\n",
       " array([0, 0, 0, 1, 0, 0, 1, 0, 0, 0])]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "dists = pickle.load( open( \"dists.pkl\", \"rb\" ) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, 3, 5, 5)\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "operands could not be broadcast together with shapes (1,6,3,5,5) (1,5,5,3,6) ",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-5-a5a0bcf19f23>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      2\u001b[0m     \u001b[0ms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mparam\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdetach\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m     \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m     \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdist\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresample\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      5\u001b[0m     \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.6/site-packages/scipy/stats/kde.py\u001b[0m in \u001b[0;36mresample\u001b[0;34m(self, size, seed)\u001b[0m\n\u001b[1;32m    473\u001b[0m         \u001b[0mmeans\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mindices\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    474\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 475\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mmeans\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mnorm\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    476\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    477\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mscotts_factor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (1,6,3,5,5) (1,5,5,3,6) "
     ]
    }
   ],
   "source": [
    "for param, dist  in zip(net.parameters(), dists):\n",
    "    s = (param.detach().numpy()).shape\n",
    "    print(s)\n",
    "    a = dist.resample(size=s)\n",
    "    print(a[0].shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-0.01486303, -0.11502002, -0.23385368, -0.32484883,\n",
       "          0.04858383],\n",
       "        [-0.63927781, -0.34327541,  0.03307063,  0.00684732,\n",
       "         -0.25447388],\n",
       "        [ 0.04741093,  0.30892178,  0.04839796,  0.08860916,\n",
       "         -0.11612456],\n",
       "        [-0.81160784, -0.09060007,  0.06798676, -0.27778544,\n",
       "          0.32953946],\n",
       "        [ 0.14057104,  0.14076293, -0.17918687,  0.45320029,\n",
       "          0.22065858]]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dist.resample((5,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import pickle\n",
    "\n",
    "paras = list()\n",
    "dists = list()\n",
    "for param in net.parameters():\n",
    "    paras.append((param.view(-1)).detach().numpy())\n",
    "    dists.append(stats.gaussian_kde(paras[-1]))\n",
    "\n",
    "pickle.dump( dists, open( \"dists.pkl\", \"wb\" ) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lbV4dKR4NzmZSza+oqPkBO+nKL4ruhJuPg+dvgerdhS5RpNXLOsDd/cfuPsjdy4BpwAJ3/0beKpN2wUnwZDCOr9Rcx9drfgKlx8D8n8LvxsIzv4C9OwpdokirpXHg0koYLwRjYfoc+JsFUHYmPPerMMjnXQsf6ZorIg3lJcDd/VmNAZe8GXQyTLsPvvsSjPoSvPQfcPPxMOcq2P52oasTaTV0BC6tV99RcMntcPVSOPEyWP4g/L4cHr4cNi8vdHUiBacAl9avZxlMuRG+vwLGXw1vPQW3nw33XgLrFoFrLLm0TwpwiY+u/WDiv8IPVsKEn8GW1+CeKXDH+bBqDgT6tSBpXxTgEj8de8BZ14RH5BfdCHu3wUOXwb+PgyX3aCy5tBsKcImvoo4w7gq4ailMvQuKO8Ofr4abjoWFN8C+nYWuUKRZKcAl/hJJGHsJVDwH33wMjjgWFvwb3DgGnvhn2Lm+0BWKNAv9pJq0HWYw7Nxw2rISXrgVXrkDXp4ZDkc8/UoYfEphaxTJIx2BS9t0xNhwCOL+kSvvPAt3ToT/nAArH4G0fvZN4k8BLm1btwHRyJVVcOFvYN8OmP3t8MSgRb+FPdsLXaFI1hTg0j6UdIFTK+DKJXDpA9BnODx9HfxuNDz2PXh/WaErFDls6gOX9iWRgJEXhtPW1bD4dnjtQXj1jzDoFBj3NzD6YijqUOhKRTLSEbi0X31HwZdugh+uhsnXh90r/1UBN46CJ/+3rrsirZ4CXKRjDzjtO/C9V8JhiGVnwov/F249Ce6eAitmQ111oasU+Rx1oYjsl0h8Ngzxo82w7I+w9A/wyBXQsScc9zU48RvhOHORVkABLtKYbv3h7H+CM6+Bdc+GfeSVs2DxbXDEcXD8pXDsV6GLfiZQCkcBLnIoiQQc9YVw2rsj7E5Z/ieY9+Own/zo8+G4v4aRX4TiToWuVtoZBbhIU3XqFQ5FPLUiHMGy/P4w0B+ZB0WdYdQUGHMJHHUepEoKXa20A1kHuJkNBv4A9AMcmOnuN+erMJFWre8omHgdTPgX2PA8rHgYVj0WDkks6R6G+agvK8ylWeVyBF4HXOPuS82sK7DEzOa7+6o81SbS+iUSMPSscPriDeEp+68/Cqv/DMvug+KuMOICOOaLcPRE6NCt0BVLG5J1gLv7ZmBzdH+3ma0GBgIKcGmfUsUwYlI41dXAuudg9Rx4Yy6snA2JojDoh18AwydC76MKXbHEXF76wM2sDDgRWNzIcxVABcCQIUPysTmR1i9VHIb08Ikw5SZ472VYMxfWPAF/+edw6n00HDUBjp4AR54Rnu4vchhyDnAz6wI8Anzf3T9q+Ly7zwRmApSXl+vHC6X9SSThyNPDadL/Cc/wXPsUvPVkOM785dvDo/PBp8DQs8Np4MnqO5eMcgpwMysiDO/73P3R/JQk0sb1PiqcTv278Off3n0R3l4A6xbCs9fDs7+EVAcYNA6OHA+DT4VB5dChe6Erl1Yml1EoBtwJrHb3G/NXkkg7UtQhHKly1Hnh4307Yf3zsOGFcHTLwt+AB4BB39Ew6GQYcFJ4hN53FCSLClq+FFYuR+BnAJcBK8xs/7U4f+Lu/y/3skTaqY49oyGIU8LHn3wEm5aEfejvLYZVc8JuF4BkSRji/Y8PT+/vNyYM+Y49Cle/tKhcRqH8D2B5rEVEGurQ7cAjdHfYuQ42LYXNy2Dz8nD8+dJ7Plun6wAoHQGlx4TXPe99NPQ6CroNDIc9SpuhMzFF4sQMeg0Lp2OnhvPc4aNN8MEq+GAlVK2Bqjdg6b1Qu+ezdZMl0PNI6HFkeNt9MHQfFE5d+0PXI/TFacwowEXizuyzIB4x6bP5QQC7N8OOt2H7WtjxDuzcADvXw8aX4ZNdn3+tjr2gS7/wIl2d+0LnPtCpd9i107EndOgRdtF06A4lXcOpqFNYg7Q4BbhIW5VIQPeB4TT07M8/X70bdm2CXRvDoN8/fbwV9lSFfe97d0B1I0F/AIPizmGQF3WMbjuEI2mSxeFRfbIYEqnwS9dEUVibJcMhlpYIX8OMA3tlo1HH7tEXudHt/inYfz8NQbrebQBBXSPz0jxavI0EAUkCEng0BZ/eGo5F843GRz17tFTw6W24ZkCCOhKkSVIXTbWepJYUtaTg/YEw4ITD/3c8BAW4SHtV0hX6HhNOh5KuDYP8kw9h34fhbfVuqP4o/JK1Zk80fQx1n0Dt3nB4ZLo6fPzJrvA1gtrotkG4fhrM9QPT+SzUCUN+f9DvD/36UyJZ7z+E6LbhvFQxH3tHAhKko9gOsOi+fRrM9cO5YYTv/+8lXINPXyWBk4z+Y0gSkKKOIkvTyapJsZdi6sK2yDMFuIgcWrIIuvYLp5j75oy5Bdv2+iGn5f019ZW0iEhMKcBFRGJKAS4iElMKcBGRmFKAi4jElAJcRCSmFOAiIjGlABcRiSkFuIhITCnARURiSgEuIhJTCnARkZjKKcDNbLKZrTGztWY2I19FiYhIZlkHuJklgX8HLgRGA5ea2eh8FSYiIoeWyxH4KcBad3/H3WuAB4CL81OWiIhkksv1wAcC79V7vBE4teFCZlYBVEQPPzazNVlurw+wLct124vYt5H9qtk3Efs2agFqo8wOu41y3LePbGxms/+gg7vPBGbm+jpmVunu5Xkoqc1SG2WmNspMbZRZa2mjXLpQNgGD6z0eFM0TEZEWkEuAvwIMN7OhZlYMTAPm5KcsERHJJOsuFHevM7MrgXlAEpjl7q/nrbLPy7kbph1QG2WmNspMbZRZq2gjc2/4u8siIhIHOhNTRCSmFOAiIjHVqgLczHqZ2Xwzeyu67XmQ5f5iZh+a2eMN5g81s8XRqf0PRl+utimH0UbTo2XeMrPp9eY/G13+YFk09W256ptXpks7mFlJtF+sjfaTsnrP/Tiav8bMLmjJultStm1kZmVmtq/efnNbS9feUprQRmeb2VIzqzOzqQ2ea/Rz12zcvdVMwK+BGdH9GcCvDrLcBOBLwOMN5j8ETIvu3wZ8p9DvqRBtBPQC3olue0b3e0bPPQuUF/p9NEO7JIG3gWFAMbAcGN1gme8Ct0X3pwEPRvdHR8uXAEOj10kW+j21sjYqA1YW+j20kjYqA44D/gBMrTf/oJ+75ppa1RE44an490T37wG+0thC7v40sLv+PDMz4AvA7Ezrx1xT2ugCYL6773D3ncB8YHIL1VcoTbm0Q/22mw1MiPabi4EH3L3a3dcBa6PXa2tyaaP2ImMbuft6d38NCBqs2+Kfu9YW4P3cfXN0fwvQ7zDW7Q186O510eONhKf7tzVNaaPGLnNQvy3uiv4M/mkb+nBmes8HLBPtJ7sI95umrNsW5NJGAEPN7FUze87MzmruYgskl32hxfejZj+VviEzewo4opGnrq3/wN3dzNrlGMdmbqP/5e6bzKwr8AhwGeGfgiKHshkY4u7bzexk4L/NbIy7f1TowtqzFg9wdz//YM+Z2Qdm1t/dN5tZf2DrYbz0dqCHmaWiI4fYntqfhzbaBJxb7/Egwr5v3H1TdLvbzP5E+CdjWwjwplzaYf8yG80sBXQn3G/ay2Uhsm4jDzt5qwHcfYmZvQ2MACqbveqWlcu+cNDPXXNpbV0oc4D939xOBx5r6orRDvYMsP9b4cNaP0aa0kbzgElm1jMapTIJmGdmKTPrA2BmRcAUYGUL1NwSmnJph/ptNxVYEO03c4Bp0QiMocBw4OUWqrslZd1GZlYa/QYAZjaMsI3eaaG6W1Iulwhp9HPXTHWGCv2tb4Nvd3sDTwNvAU8BvaL55cAd9ZZbBFQB+wj7mS6I5g8j/OCtBR4GSgr9ngrYRt+O2mEt8K1oXmdgCfAa8DpwM21otAXwReBNwlEE10bzrgO+HN3vEO0Xa6P9ZFi9da+N1lsDXFjo99La2gj4q2ifWQYsBb5U6PdSwDYaF+XOHsK/4F6vt+7nPnfNOelUehGRmGptXSgiItJECnARkZhSgIuIxJQCXEQkphTgIiIxpQAXEYkpBbiISEz9f/6PrBECfRROAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for p, d in zip(paras, dists):\n",
    "    x_plot = np.linspace(p.min(), p.max(), 100, endpoint=True)\n",
    "    plt.figure()\n",
    "    plt.hist(p, density=True)\n",
    "    plt.plot(x_plot, d.pdf(x_plot))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.92494032, -0.9247816 , -0.92462602, -0.92447358, -0.92432426,\n",
       "       -0.92417808, -0.92403502, -0.9238951 , -0.92375832, -0.92362466,\n",
       "       -0.92349414, -0.92336674, -0.92324249, -0.92312136, -0.92300336,\n",
       "       -0.9228885 , -0.92277677, -0.92266817, -0.9225627 , -0.92246037,\n",
       "       -0.92236116, -0.92226509, -0.92217215, -0.92208235, -0.92199567,\n",
       "       -0.92191213, -0.92183172, -0.92175444, -0.92168029, -0.92160928,\n",
       "       -0.92154139, -0.92147664, -0.92141503, -0.92135654, -0.92130118,\n",
       "       -0.92124896, -0.92119987, -0.92115391, -0.92111109, -0.92107139,\n",
       "       -0.92103483, -0.9210014 , -0.9209711 , -0.92094394, -0.92091991,\n",
       "       -0.920899  , -0.92088123, -0.9208666 , -0.92085509, -0.92084672,\n",
       "       -0.92084148, -0.92083937, -0.92084039, -0.92084454, -0.92085183,\n",
       "       -0.92086225, -0.9208758 , -0.92089248, -0.9209123 , -0.92093525,\n",
       "       -0.92096133, -0.92099054, -0.92102288, -0.92105835, -0.92109696,\n",
       "       -0.9211387 , -0.92118357, -0.92123158, -0.92128271, -0.92133698,\n",
       "       -0.92139438, -0.92145491, -0.92151858, -0.92158537, -0.9216553 ,\n",
       "       -0.92172836, -0.92180455, -0.92188387, -0.92196633, -0.92205192,\n",
       "       -0.92214064, -0.92223249, -0.92232748, -0.92242559, -0.92252684,\n",
       "       -0.92263122, -0.92273873, -0.92284938, -0.92296315, -0.92308006,\n",
       "       -0.9232001 , -0.92332328, -0.92344958, -0.92357902, -0.92371159,\n",
       "       -0.92384729, -0.92398612, -0.92412809, -0.92427318, -0.92442141])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}