diff --git a/MultiplicativeAlgorithm/Visualizations.ipynb b/MultiplicativeAlgorithm/Visualizations.ipynb
index e99967cbc343cb9ff2f6a4d5605eabb89945a248..159ea8334119ddb0123381e232740eee0b18dfb2 100644
--- a/MultiplicativeAlgorithm/Visualizations.ipynb
+++ b/MultiplicativeAlgorithm/Visualizations.ipynb
@@ -1158,7 +1158,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.7"
+   "version": "3.6.5"
   }
  },
  "nbformat": 4,
diff --git a/MultiplicativeAlgorithm/Visualizations.py b/MultiplicativeAlgorithm/Visualizations.py
index fbbfca6a735a6743d294eb11bc104a7c14806b87..cc5f52883115ca78c149e2c5ea1d4f510df42c8c 100644
--- a/MultiplicativeAlgorithm/Visualizations.py
+++ b/MultiplicativeAlgorithm/Visualizations.py
@@ -68,10 +68,11 @@ def Heatmap(W1, W2):
     Ro = np.corrcoef(W1.T,W2.T)[len(W1.T):,:len(W2.T)]
     plt.imshow(Ro, cmap='hot', interpolation='nearest')
     plt.colorbar()
-    plt.title('Heatmap for comparing two runs of W')
-    plt.xlabel('Columns of W1')
-    plt.ylabel('Columns of W2')
-    plt.savefig('Heatmap')
+    plt.rc('text', usetex=True)
+    plt.title(r'Heatmap for comparing two runs of $W$')
+    plt.xlabel(r'Columns of $W_1$')
+    plt.ylabel(r'Columns of $W_2$')
+    plt.savefig('Heatmap.pdf', bbox_inches="tight")
     plt.show()
     
     return None    
diff --git a/MultiplicativeAlgorithm/cSNMF.ipynb b/MultiplicativeAlgorithm/cSNMF.ipynb
index a21e801378929dd3891b09145d99ac488e19f594..1ee731164cb8e7b1c0478d24a84edb1b0c3b6da3 100644
--- a/MultiplicativeAlgorithm/cSNMF.ipynb
+++ b/MultiplicativeAlgorithm/cSNMF.ipynb
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -24,9 +24,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "OSError",
+     "evalue": "D_trips.txt not found.",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mOSError\u001b[0m                                   Traceback (most recent call last)",
+      "\u001b[1;32m<ipython-input-2-3d816c69a48c>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;31m## Read Full-Link data and prep for running cSNMF.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mconfig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mTRIPS\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m     \u001b[0mD\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mloadtxt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'D_trips.txt'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m     \u001b[0mlogger\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minfo\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Full_link data for trips has been read'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\numpy\\lib\\npyio.py\u001b[0m in \u001b[0;36mloadtxt\u001b[1;34m(fname, dtype, comments, delimiter, converters, skiprows, usecols, unpack, ndmin, encoding)\u001b[0m\n\u001b[0;32m    915\u001b[0m             \u001b[0mfname\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    916\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0m_is_string_like\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 917\u001b[1;33m             \u001b[0mfh\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlib\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_datasource\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'rt'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mencoding\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    918\u001b[0m             \u001b[0mfencoding\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfh\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'encoding'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'latin1'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    919\u001b[0m             \u001b[0mfh\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0miter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfh\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\numpy\\lib\\_datasource.py\u001b[0m in \u001b[0;36mopen\u001b[1;34m(path, mode, destpath, encoding, newline)\u001b[0m\n\u001b[0;32m    258\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    259\u001b[0m     \u001b[0mds\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mDataSource\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdestpath\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 260\u001b[1;33m     \u001b[1;32mreturn\u001b[0m \u001b[0mds\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpath\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmode\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mencoding\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnewline\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnewline\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    261\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    262\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\numpy\\lib\\_datasource.py\u001b[0m in \u001b[0;36mopen\u001b[1;34m(self, path, mode, encoding, newline)\u001b[0m\n\u001b[0;32m    614\u001b[0m                                       encoding=encoding, newline=newline)\n\u001b[0;32m    615\u001b[0m         \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 616\u001b[1;33m             \u001b[1;32mraise\u001b[0m \u001b[0mIOError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"%s not found.\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mpath\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    617\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    618\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mOSError\u001b[0m: D_trips.txt not found."
+     ]
+    }
+   ],
    "source": [
     "## Read Full-Link data and prep for running cSNMF.\n",
     "if config.TRIPS:\n",
@@ -79,6 +94,250 @@
     "np.savetxt('W_trips.txt', W)\n",
     "np.savetxt('H_trips.txt', H)"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "W1 = np.loadtxt('W_(seed_W = 100,seed_H = 210).txt')\n",
+    "W2 = np.loadtxt('W_trips.txt')\n",
+    "H2= np.loadtxt('H_trips.txt')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n",
+      "Possible Permutation! ith column of W1 can be mapped to jth column of W2 appears as j is in possible_maps[i]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 2000x2000 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "(array([[7.67188290e-05, 9.20103163e-09, 5.42188929e-05, ...,\n",
+       "         1.40227629e-04, 2.11072752e-06, 3.79809240e-10],\n",
+       "        [6.63275306e-05, 5.00029217e-05, 7.22200675e-05, ...,\n",
+       "         1.31085375e-04, 1.92060428e-05, 1.84821147e-05],\n",
+       "        [4.88593567e-05, 5.10923089e-05, 5.70885912e-05, ...,\n",
+       "         1.61205171e-04, 2.12402080e-04, 1.95784276e-05],\n",
+       "        ...,\n",
+       "        [2.07284711e-04, 2.24263509e-04, 2.02881843e-04, ...,\n",
+       "         1.46890199e-04, 2.53057322e-04, 2.05285071e-04],\n",
+       "        [2.32608307e-04, 1.47501161e-04, 2.01243495e-04, ...,\n",
+       "         5.39878210e-04, 4.42389769e-05, 1.74444826e-08],\n",
+       "        [2.31247962e-04, 2.31575360e-04, 1.33804750e-04, ...,\n",
+       "         1.39050830e-04, 3.93456999e-04, 5.80479135e-05]]),\n",
+       " array([[0., 0., 0., ..., 0., 0., 0.],\n",
+       "        [0., 0., 0., ..., 0., 0., 0.],\n",
+       "        [0., 0., 0., ..., 0., 0., 0.],\n",
+       "        ...,\n",
+       "        [0., 0., 0., ..., 0., 0., 0.],\n",
+       "        [0., 0., 0., ..., 0., 0., 0.],\n",
+       "        [0., 0., 0., ..., 0., 0., 0.]]),\n",
+       " array([[9.07232611e-05, 3.73643464e-05, 4.86803687e-05, ...,\n",
+       "         4.48682638e-05, 8.73163476e-10, 1.27228297e-05],\n",
+       "        [5.23872250e-05, 6.75064669e-05, 5.81001475e-05, ...,\n",
+       "         5.13826770e-05, 1.85895767e-05, 1.25693642e-05],\n",
+       "        [6.78787818e-05, 6.67554270e-05, 5.92127855e-05, ...,\n",
+       "         2.53375278e-06, 2.09295437e-04, 1.12410473e-04],\n",
+       "        ...,\n",
+       "        [2.07049437e-04, 2.13428910e-04, 2.31935024e-04, ...,\n",
+       "         1.86062317e-05, 2.52854702e-04, 2.18011259e-08],\n",
+       "        [2.52973268e-04, 1.51924502e-04, 1.91894746e-04, ...,\n",
+       "         2.03550313e-05, 3.64532025e-05, 3.33841507e-06],\n",
+       "        [2.55473138e-04, 2.43693691e-04, 1.27401473e-04, ...,\n",
+       "         1.09004101e-04, 3.77643862e-04, 1.98246368e-05]]),\n",
+       " [(0, 12),\n",
+       "  (2, 0),\n",
+       "  (5, 6),\n",
+       "  (7, 20),\n",
+       "  (10, 5),\n",
+       "  (12, 4),\n",
+       "  (14, 13),\n",
+       "  (16, 8),\n",
+       "  (18, 21),\n",
+       "  (20, 36),\n",
+       "  (22, 11),\n",
+       "  (24, 16),\n",
+       "  (28, 19),\n",
+       "  (32, 26),\n",
+       "  (36, 31),\n",
+       "  (38, 33),\n",
+       "  (41, 40),\n",
+       "  (46, 48),\n",
+       "  (1, 7),\n",
+       "  (6, 10),\n",
+       "  (11, 1),\n",
+       "  (15, 24),\n",
+       "  (19, 15),\n",
+       "  (23, 35),\n",
+       "  (29, 17),\n",
+       "  (33, 34),\n",
+       "  (37, 29),\n",
+       "  (43, 30),\n",
+       "  (3, 23),\n",
+       "  (8, 2),\n",
+       "  (13, 43),\n",
+       "  (21, 25),\n",
+       "  (39, 42),\n",
+       "  (4, 14),\n",
+       "  (17, 32),\n",
+       "  (26, 9),\n",
+       "  (30, 46),\n",
+       "  (45, 39),\n",
+       "  (25, 37),\n",
+       "  (34, 18),\n",
+       "  (27, 38),\n",
+       "  (44, 22),\n",
+       "  (31, 27),\n",
+       "  (40, 3),\n",
+       "  (9, 44),\n",
+       "  (35, 47),\n",
+       "  (48, 28),\n",
+       "  (47, 41),\n",
+       "  (49, 45),\n",
+       "  (42, 49)])"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from Visualizations import Heatmap, permute_and_sort\n",
+    "permute_and_sort(W2, H2, W1, permute = True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import sys\n",
+    "!{sys.executable} -m pip install folium"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
@@ -97,7 +356,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.6"
+   "version": "3.6.5"
   }
  },
  "nbformat": 4,