{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.4/dist-packages/matplotlib/__init__.py:1350: UserWarning:  This call to matplotlib.use() has no effect\n",
      "because the backend has already been chosen;\n",
      "matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n",
      "or matplotlib.backends is imported for the first time.\n",
      "\n",
      "  warnings.warn(_use_error_msg)\n"
     ]
    }
   ],
   "source": [
    "import networkx\n",
    "import math\n",
    "import scipy.optimize\n",
    "import numpy\n",
    "from lib.time_graph import *\n",
    "from lib.vis import *\n",
    "from lib.syn import *\n",
    "from lib.experiments import *\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Size Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\", eps=1e-5), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "size = [1000, 1500, 2000, 2500]\n",
    "\n",
    "res = size_experiments(algos, size, True, n=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[{'sparsity': 0.00041837537080828107, 'time': 7.2947828769683838},\n",
       "  {'sparsity': 0.00032344381593990654, 'time': 15.226266622543335},\n",
       "  {'sparsity': 0.00022693042297480297, 'time': 78.253204822540283},\n",
       "  {'sparsity': 0.00073140410722163137, 'time': 178.47454023361206},\n",
       "  {'sparsity': 0.00022693042297480451, 'time': 0.50150251388549805},\n",
       "  {'sparsity': 0.00073604644551906984, 'time': 5.0997660160064697}],\n",
       " [{'sparsity': 0.00027111227672103796, 'time': 11.592995405197144},\n",
       "  {'sparsity': 0.00032548426669283802, 'time': 23.956495046615601},\n",
       "  {'sparsity': 0.00012389056501414217, 'time': 191.90035247802734},\n",
       "  {'sparsity': 0.00012487060559604037, 'time': 43.609651803970337},\n",
       "  {'sparsity': 0.0001238957381495161, 'time': 0.9593660831451416},\n",
       "  {'sparsity': 0.00055354486422367591, 'time': 10.006524801254272}],\n",
       " [{'sparsity': 0.00019964964459508698, 'time': 16.924439907073975},\n",
       "  {'sparsity': 0.00024393352891823175, 'time': 30.094156742095947},\n",
       "  {'sparsity': 8.2831986978613048e-05, 'time': 313.08514285087585},\n",
       "  {'sparsity': 8.6475823470633019e-05, 'time': 49.587661266326904},\n",
       "  {'sparsity': 8.2831986978612994e-05, 'time': 1.4889810085296631},\n",
       "  {'sparsity': 0.00035962085587008423, 'time': 16.079641103744507}],\n",
       " [{'sparsity': 0.00022861893183529858, 'time': 16.390578269958496},\n",
       "  {'sparsity': 0.00019810995619673865, 'time': 36.908218622207642},\n",
       "  {'sparsity': 5.7211145349334895e-05, 'time': 503.3889594078064},\n",
       "  {'sparsity': 5.7935117478231834e-05, 'time': 63.00629997253418},\n",
       "  {'sparsity': 5.7211145349334848e-05, 'time': 2.1148567199707031},\n",
       "  {'sparsity': 0.0003092175094376406, 'time': 22.440906286239624}]]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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AAPegKAYAbmHr1q1Wj009IGrXru2hiADgX/fcc4/VY9PFoBUrVujQoUMeiir/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\nTNtZuXJlFSpUyFOhAbjDnThxQq+++qo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t1KpVK3NSq+k8vnHjRquE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kz3PPPVel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\n8+fj2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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/syn_size_slide.png\"\n",
    "plot_size_experiments(res, algos, size, output_file_name, 0, 500, 2000)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-norm\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-norm\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-norm\", eps=1e-5), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-norm\"),\n",
    "             TemporalCuts(\"UNION\", \"union-norm\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-norm\")]\n",
    "\n",
    "size = [1000, 1500, 2000, 2500]\n",
    "\n",
    "res = size_experiments(algos, size, True, n=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AAPegKAYAbmHr1q1Wj009IGrXru2hiADgX/fcc4/VY9PFoBUrVujQoUMeiir/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\nTNtZuXJlFSpUyFOhAbjDnThxQq+++qo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t1KpVK3NSq+k8vnHjRquE\nGm9Vt25d3XLLLVYzBJiOITY21oORAYDr0Y79V9euXdW9e3eb2WLS0tI0adIkD0X1r4ULF2rfvn2S\nbG8gGTt2rJo1a+bWeNq1a+fW+gAAQPF44zgnSTEA4GUaNmyoChUq2DwAIK+UlBS70wiHhIR4IJqS\nZdq0acrJybHZbjAYvGa6aneZO3eu3e1PPvmkmyMpvPXr1+uLL76w+n9QuXLlMvc7BIDSIiMjQ0uW\nLLG5vqlSpYp69epltc3RbDGOzmveplOnTna3JyUluTkSAHAv2rFXOZotZvr06Tp16pSHovq3vWwZ\nk0nNmjX10ksveSIkAABQgtgb42zYsKFHYyIpBgAAoIQyTbufV3JyspsjKVkuXbpkNUuMdPWutz59\n+ujGG2/0YHTudfDgQe3atctqOmzp3/Xb69ev78nQrunSpUt6/PHHzc9Nv8OPPvrILVN5AwCcb9Gi\nRVZ3j5m+2x966CGb656BAwfK19fX/Nw0kDh//nybu+69keXyiZbxXrlyRWlpaZ4ICQDcgnbsVe3a\ntVO/fv1szltZWVkaP368R2L666+/tHXrVvN5Vbp6Ph4zZoz8/Pw8EhcAAEBxkBQDAF4mPj5e6enp\nNg8AyKtq1ap2B32Ydj9/v/76qy5cuCBJNp/fsGHDPBGSx/z888822wwGg3r06OGBaApn/Pjx5iUy\nTL/HLl266NFHH/VgVACA4nA0y4vl0kkmNWrUsLvsxKlTp7RixQqXxOdMFStWdPhaSkqKGyMBAPei\nHWttwoQJ8vG5OkxjSkaZO3euw6WmXGnp0qVWsZj4+PjYPR8DAADkZW+MMz4+3qMxkRQDAF4mODjY\n7gMA8qpTp47Vc1Pn2YoVK3To0CEPReX9li9fbv7ZspOvQoUK6tmzpydC8pjffvvN7vb27du7OZLC\n+fPPP/XRRx9Z/f4CAgI0a9YsD0YFACiOuLg4bdy40WZJjeuuu04dOnSw+56SvIRSfokvoaGhbowE\nANzLUTt21apVOnjwoIei8pymTZtq8ODBNolC2dnZeuONN9wej2V7Wbo6S8xtt92mGjVquD0eAABQ\n8njjOCdJMQAAACVU586dzT9bdqBlZ2drwIAB5tlQYG3dunV2l06KjIwsc1NBb9682WbwUZKaNWtm\ns+3QoUP68MMPdc8996hBgwaqUKGC/Pz8FBoaqsaNG+uee+7R+PHjtWXLFpfGnJubq+HDhysnJ0fS\n1d/f66+/rkaNGrm0bgCA68yZM8fquen73VHiiyT169dPFSpUMD83Daz+73//07lz51wWqzOcOnXK\n/LPludjPz08hISGeCAkA3MJROzYnJ0cDBgzQ+fPnPRGWR40fP17+/v7m56bz2eLFi7V79263xZGZ\nmamdO3fabSN269bNbXEAAAA4G0kxAAAAJVTeWU1Mg0eStHPnTrVs2VL//e9/lZ2d7YnwvFJmZqb+\n/vtvu6917NjRzdF4VnJyspKTk222GwwGNWzY0Px8//79uvfee9W4cWO9+uqrWrlypY4dO6bMzEzl\n5uYqPT1dhw4d0sqVKzV+/HjdeuutatSokWbNmmVOXHGmyZMna8eOHVbbbrzxRr322mtOrwsA4B65\nublasGCB3UG4QYMGOXxfYGCg7r//fpu7669cuaIFCxY4PU5n2rBhg93t1atXd3MkAOBed911l/n7\n3pT8YXr+119/qUWLFvrqq6/KVDu2fv36evLJJ23OZ0ajUWPHjnVbHLt27VJubq65bku33nqr2+IA\nAABwNpJiAAAASqjrr79effv2NXcimjoUTc9PnjypwYMHq379+ho1apRWrVql9PR0T4ftUfv27XPY\nyde8eXNPhOQxBw4csLu9UqVKKleunKR/E1Bat26tZcuWSZL570yy/fxMrxkMBh0+fFhPP/202rRp\noz179jgt5kOHDuntt9+2isFgMGjmzJllbpYfAChNVqxYYTVziun7vUOHDrr++uvzfa+9mWSMRqNX\nL6F0/Phx/fHHH3ZnritrSboAyp4GDRrogQceMLcn8rZjExMTNXToUNWrV0/PPvusYmJiykQ7dty4\ncQoKCjI/N30uy5cv16ZNm9wSw969ex2+Zm82UQAAgJKinKcDAAAAKE2effZZhYaGFruccePG6a67\n7rrmfu+++65WrlyprKwsu4kxpk7F6dOna/r06fLx8VHz5s11yy23KCIiQu3atdNNN91kToIo7Y4e\nPerwtcaNG7sxEs87ceKE3e1VqlSRJI0cOVIzZ860+rvKy15ijOXPe/bsUfv27bV48WL17t272DE/\n8cQTyszMtLqjdNiwYerUqVOxywYAeE7epZNMhg4des33duvWTbVr19bJkyclXR1E3L17t3bs2KG2\nbds6NVZnePfdd5WdnW0zQ4Ik9ejRw4ORAYB7vPPOO1q+fLn52t5eOzYpKUkzZszQjBkz5OPjo2bN\nmpnbsREREWrZsmWpSoyvVq2aRo8erUmTJtnMnPaf//xHa9eudXkMlu1lyxj8/f1Vp04dl9df1jir\n/yiv9evXO71MAABKurIx+gEAAOBCpsQAo9HolFkxTB2ABdG8eXPNmTNHgwYNsrrTzjKuvLN77N69\nW7t37zYPQAUEBCgiIkKdO3dW586d1aVLFwUEBBT7OLzR8ePHHb5Wo0YNN0bieZZ35EtX71APCAjQ\n22+/bU6IsXxNkvz8/FSrVi2Fh4crPT1dp06dUkpKink/6erfoMFgUGZmph544AH9+uuvxUpe+fLL\nL7V27Vqrztnw8HB98MEHRS4TAOB5Z86c0fLly20GAP38/DRgwIBrvt9gMGjgwIH68MMPbcqIiory\nuqSYb775RrNnz7abEFO+fHndc889HowOANzjxhtv1Ny5c/Xwww8XuB27Z88e7dmzR1FRUZL+bce2\na9fO3IYtDe3YV155RZ9//rm5fWU6V6xfv14xMTEFunGmOBzdOMHSfs7j7P6jvOwtRQkAAFg+CQAA\nwKksl5ApyqMoHn74YUVHRysoKMjuHXYmeTsXTY/Lly9rw4YNmjhxonr27KmaNWvq6aef1pYtW5zy\nmXiT8+fPm3/OO6tJ5cqVPRGSx5g6WvM6cuSI3n33XZuEmMjISC1ZskTnzp3T4cOHtWXLFu3du1fn\nzp3T1q1bNWbMGAUEBNjMKmMwGJSdna2HH35YycnJRYo1MTFRr7zyik1Mn3zySZn7vQFAaTN//nxd\nuXLF/Nz0HX/33XcX+Ds+74wypnPR119/rcuXLzs13uL49NNPNWTIEJtrPtMxP/PMMww8AigzBgwY\noPnz5ys4OLjI7djY2FhNmjRJPXv2VI0aNfTUU09p8+bNnjqkYgsNDdWrr75qd5bOsWPHurz+Cxcu\nWD03xVG1alWX110WFbf/yBn9SQAAlBUkxQAAADiRqSOvqI+iGjp0qDZt2qT27dvbTD+d9867vLGa\nXjM9UlJSNGvWLN1666265557XHL3kqdkZWXZ3V7S7ygsCsvPwvJutYyMDKvtfn5+mj17ttatW6d+\n/fpZrXNv0rZtW02ePFl79uyxWmvestxTp05p2LBhRYp15MiR5g5aU5k9evTQww8/XKTyAADeIzo6\n2u5AzpAhQwpcRvPmzdW6dWuba6kLFy7o+++/L3aMxXHq1ClFR0erbdu2ev7555WdnW018GsSFham\n1157zYORAoD7DRo0SJs3b9att95a7HZsamqqZs+erdtuu0133XWXdu/e7fbjcYbnnnvOahZT02ey\nc+dOLVmyxKV1Z2Zm2mwzGAwqX758scs+cuSIOnXqVKxHaVPc/iNn9ScBAFAWsHwSAACAE3ny7pyW\nLVtq48aNWr58uf7f//t/io2NlSS7HST27iSyN031ypUrtWrVKr3xxht666233HAUrnXp0iW72/39\n/d0ciedZ3pVvyXI2Fl9fX3377be69957C1Tm9ddfr7Vr16pr167as2eP1dIQRqNRP//8s7Zv366b\nb765wHEuWbJEP/zwg9Xfa2BgoGbOnFngMgAA3mnr1q3m84WlSpUqqU+fPoUqa8iQIdq1a5fN9qio\nKD300EPFijOv5OTkfAfnjEajUlNTdebMGSUmJpq3Wy4vaNpP+ve89tNPP6lKlSpOjRMASoLmzZtr\nw4YNWrFihd5//31t2LDB/FpR27G//PKL2rRpo9dff13vvPOOi4/AuQIDAzVu3Dg9++yzVucNo9Go\nN954Qw888IDL+h0ctZf9/PyKXXZGRoZiY2NtZhYtqNI4E4orjqk0fk4AADgDM8UAAAAUk2VH1dq1\na5WTk1PsR95lAAqjV69e+v3333Xo0CG98847uuWWW+Tn52d1F529O4ryrtlumcwwfvx49e/fX9nZ\n2cX/wDzIUfKLowSR0szX19fha6bf/ejRowucEGMSFhamhQsXmj/rvJ1y77//foHLunDhgp577jmb\nZZPefPNNNWjQoFBxAQC8z5w5c6yem77nBwwYUOgBuIEDB1qd20zXMGvWrNHx48eLHavlNdOlS5cU\nGxvr8LFx40bt2bNHSUlJdpc1sCwrJCRE3377rTp06FDsGAGgJLv77ru1bt06HT58WO+++26B2rF5\nl1vK246dMGGC+vXrV+Lae08++aQaNmxos/3gwYOKjo52Wb2OZlB19udXlpcFckX/keWjpPfZAADg\nKiTFAAAAOJE3TVnboEEDjR07Vps3b9b58+e1cuVKvfXWW+rdu7dq167tsHNRsr2D2WAw6Pvvv9eo\nUaM8djzOEBgYaHe7ozviSjN7CUKWHY5VqlTRhAkTilR2y5YtNXLkSKv/D6a/sx9++EFpaWkFKueF\nF14w32FvKqtFixZ66aWXihQXAMB7ZGVlafHixXYHuwYNGlTo8qpXr67u3bvbXIv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FF1ygZ599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\nfnL8/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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/syn_norm_size_slide.png\"\n",
    "plot_size_experiments(res, algos, size, output_file_name, 0, 500, 2000)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Density"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\", eps=1e-5), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "hop = [1, 2, 3, 4]\n",
    "\n",
    "res = hop_experiments(algos, hop, True, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_file_name = \"figs/syn_hop_slide.png\"\n",
    "plot_hop_experiments(res, algos, hop, output_file_name, 0, 500, 1000)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-norm\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-norm\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-norm\", eps=1e-5), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-norm\"),\n",
    "             TemporalCuts(\"UNION\", \"union-norm\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-norm\")]\n",
    "\n",
    "hop = [1, 2, 3, 4]\n",
    "\n",
    "res = hop_experiments(algos, hop, True, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_file_name = \"figs/syn_norm_hop_slide.png\"\n",
    "plot_hop_experiments(res, algos, hop, output_file_name, 0, 500, 2000)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Snapshots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-10\", \"fast-sparse\", eps=1e-5, k=10), \n",
    "             TemporalCuts(\"FSTC-50\", \"fast-sparse\", eps=1e-5, k=50), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\", eps=1e-5), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "n_snaps = [5, 10, 15, 20]\n",
    "\n",
    "res = num_snaps_experiments(algos, n_snaps, True, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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Zo5s3b0qyHfXdoUMHT4QEO/bs2WP3/3f27NlVpEiRVLdfsWJFh/0CgLchZ0i+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\nDQ3V5MmTndbfkSNHFB4ero4dOzrlhjA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9up577jlPhAQAPsveNc66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WP58uVavHix5s+fr02bNmWOzbrtgNmCkc1m09SpU9WtWze1bt3aewcDp9LT0/X111+bWrXA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\npk2b5rWc5s+fr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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/syn_num_snaps_slide.png\"\n",
    "plot_num_snaps_experiments(res, algos, n_snaps, output_file_name, 0, 500, 2000)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rank"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_file_name = \"figs/syn_norm_rank_time_slide.png\"\n",
    "plot_rank_time_experiments(res, rank, output_file_name)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_file_name = \"figs/syn_norm_rank_time_slide.png\"\n",
    "plot_rank_time_experiments(res, rank, output_file_name)\n",
    "Image(filename=output_file_name)"
   ]
  }
 ],
 "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": 1
}