stratton-signature-NMF.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.spatial.distance import cosine\n",
    "from sklearn.decomposition import NMF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABjoAAAJZCAYAAAAQ8ey2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAAMC3WHQAAAAAAAAAAADf+gbJScnBjVegugAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2f87eb978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABjoAAAN1CAYAAADG6CJPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2f87eb9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum_map(\n",
    "    x=2,\n",
    "    y=2,\n",
    "    y_max=y_max,\n",
    "    heights=[x for x in mice],\n",
    "    xlabels=[xlabels, xlabels, xlabels, xlabels],\n",
    "    labels=py_labels,\n",
    "    titles=[\n",
    "        'AFB$_{1}$ Mouse 103', \n",
    "        'AFB$_{1}$ Mouse 104',\n",
    "        'AFB$_{1}$ Mouse 105',\n",
    "        'AFB$_{1}$ Mouse 124',\n",
    "    ])\n",
    "\n",
    "spectrum_map(\n",
    "    x=2,\n",
    "    y=3,\n",
    "    y_max=y_max,\n",
    "    heights=[x for x in controls],\n",
    "    xlabels=[xlabels, xlabels, xlabels, xlabels, xlabels],\n",
    "    labels=py_labels,\n",
    "    titles=[\n",
    "        'DMSO Sample 8113',\n",
    "        'DMSO Sample 4508',\n",
    "        'DMSO Sample 4509',\n",
    "        'DMSO Mouse 4510',\n",
    "        'DMSO Mouse 4511',])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fit a Two Signature NMF Model to Experimental Data\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NMF(alpha=0.0, beta=1, eta=0.1, init='random', l1_ratio=0.0, max_iter=1000,\n",
       "  n_components=2, nls_max_iter=2000, random_state=0, shuffle=False,\n",
       "  solver='cd', sparseness=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = NMF(n_components=2, init='random', random_state=0, max_iter=1000)\n",
    "model.fit(np.concatenate([mice, controls]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Completed in 19 iterations.\n",
      "\n",
      "Frobenius norm of the matrix dfference (Reconstruction Error): 20.684\n",
      "\n",
      "Cosine Similarity of NMF-AFB1 and Signature 24: 0.523\n",
      "Cosine Similarity of NMF-AFB1 and AFB1-Average: 0.986\n",
      "Cosine Similarity of NMF-DMSO and DMSO-Average: 0.975\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr4AAAEQCAYAAABWeXd2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAMAU/h9OXbR87R43KwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2ec4e4470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr4AAAIECAYAAAD/1i1mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAgAAwBb+H7trYw969+nmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2ec4e44a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr4AAAEQCAYAAABWeXd2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlYVGUbBvB7WFQEE5VNRQUEWQQE3AVT3FtcQFxzX7JM\nP8tyzTSt1Cx3TFNT0FxBBXfEErdEVCRNLRU3cEEgdjVZzvcHMTHODMswMzCe+3ddXVe8zznzPuc8\ngA9n3nNGIgiCACIiIiKi15xeZSdARERERKQNbHyJiIiISBTY+BIRERGRKLDxJSIiIiJRYONLRERE\nRKLAxpeIiIiIRKHUxjcxMRFdunSBi4sL3NzcsHr1agDA/PnzYW1tDS8vL3h5eeHo0aMK91++YoV6\nMyYiIiIiUoFBqRsYGGDZsmXw8PBAdnY2WrZsie7duwMApk6diqlTp2o8SSIiIiKiiiq18bWysoKV\nlRUAwMTEBM7Oznj48CEAgJ99QURERES6olxrfO/du4e4uDi0bdsWALBmzRp4eHhg3LhxyMjI0EiC\nRERERETqUObGNzs7GwEBAVi5ciVMTEwwceJExMfHIy4uDlZWVlzyQERERERVWqlLHQAgLy8PAQEB\nGD58OPr27QsAMDc3l8bHjx+P3r17K9zX0sICjx49UkOqRERERETKNWjQoMR4mRrfMWPGwMXFBVOm\nTJGOPXnyRLr2d+/evXB1dVW4b9LTp6UmQURERESkaaU2vmfPnsW2bdvg5uYGT09PSCQSLFy4ENu3\nb0dcXBz09PRgY2ODH3/8URv5EhERERGppNTG19vbG/n5+XLjvXr10khCRERERESawE9uIyIiIiJR\nYONLRERERKLAxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5EREREJApsfIlErpO3D4YNGVrZaZAW\nXfvjGt4bPARe7i3gYGuHH9asqeyUqIrZEhwMB1s7/PHHH5WdCpFalemT24jE5sWLF9ixbTuORRzF\nrZu3kJOTg9q1a8PVzQ1vv/MO+vr1g76+vkZzOB8djfPR5zF67BjUqlVLY/NIJBKNvXZ5xd+OR6/u\n3QEAu0JD4NWyZSVn9PrJy8vDRx98AIlEgk+nTUOtN2rB2cVF6fa7d+3C5zNnSb82MDCAiYkJGlpb\nw71FC/j5+8PTy1Nuv+VLl+KHwMKGeu36H9Ht37oWd/jQIUyZNBkA8Mlnn2LiRx9JY1mZmQjaHIRj\nR48iMTERBQUFqFuvHpydndG1Wzf0HxAg93rXr13HTxs34EJMDFKSU2BsbAwnZ2f4B/RHPz+/Ur/X\ni+dcmoGDB+GbRYvKtK265ebmYu2aH9CiRQt08u2skTkkEkmV+t1ApC5sfIlece/ePYwfMwb3791H\nB29vfPDRRNStUxepqSk4e+YsZk6fjtu3b2P6zBkazeN89HkErlqFgAEBGm18q5Ldu3bCxMQENWrU\nwO5du9n4asC9e/fw8OFDzJ3/Jd4bPqxM+0gkEoweOwbNXV1RUFCArKws3PrrJiKOHsGObdvQz88P\ni79bovCPwRo1amBPSKjCxndPSChq1KiBf/75R2Y8KzMTfXv3wePHj/HW229hwOBBMDQwRMKDB7h4\n8SK2BAfLNb5bgoPxzYKvULduXfj17w87OzukZ6Qj4shRTP/0MxzcfwA/rFuH6jWqKz3Ot995B03t\n7WXGFsz7EtWqVcOszz+HAEE63qRJkzKdO03Izc3F6pUrMXzkCI01vkSvKza+RMX88+IfvD9mLBIT\nH2LNurXo3qOHTHz8hAn44+pVXPn9isZzEQSh9I2KycvLQ35+PqpXV/4Pe1WWl5eH8H1heOudt1Gr\nVi3s3LETc7+ch5o1a1ZaTgUFBXj58iVq1KhRaTmoW/LTpwCA2rVrl2u/1m3ayDWvn3/xBWZMm4aw\nffvwxhtv4Isv58nEJRIJuvfsgSOHjyA1NRX16tWTxpKSknD2zBm80/td7A8Ll9lv+7btSExIwJcL\nFmDosPfkcklNSZH5+mTUSXw9fwGau7oieOtWvFH7DWls3Pjx+H7Jd/hx7Vp8OW8uFn37rdJjdHRy\ngqOTk8zYksXfokaN6ujdt4/S/V6Vk5MDY2PjMm9fXuX93UBE/+EaX6Jidu3cgbt372Lc+HFyTW8R\nVzc3uX+MIyOOYVDAALRo7ooWzV0xKGAAjkdGyu1btJ72Tnw8xo0egxaubvB0c8ekiRORkpws3W7G\nZ9MQuGpV4T4+HeFgawcHWzusXlk4tnL5CjjY2uHWrVv45quv4dO+A1ydnPF7XFyxY9mJvu/2hquT\nMzzd3DFq+AhcunixTOch9tIljBk5Cu1bt0FzRyd4t2uPcaPHyLy+uv1y/Dj+/vtv9A8IgH///niW\nk4NDBw/KbJOeng6XZo7St8dftXjhQul5KZKVmYlvFy1Cl06d4dLMEW1atsLUKR8jMSFRZt/du3bB\nwdYO0eeisWrFSvi+2QnNHZ1wLCICAHDq5En876NJ8O34Jpo7OqFlCw+MHjESFy9cUJjLoYMH8U6v\nXmju6IRO3j5Ys3o1Tp86BQdbO+wPl230/vnnH6xZvRq9uveQvvaEcePx540bZT5/CQkJmPrxx2jX\nqjVcmjmia2dfLF+6FP+8+O9q6uABAzDivWGFyxw+/gQOtnZoZtcUSUlJZZ6nuOo1qmPJ0u/RsGFD\nbN++HU+ePJHbxs/fHxAEhO8LkxnfExoKfX199OnTV26f+/fvAQDad2ivcN56ZmYyX3+3eDH09PSw\nfOUKmaa3yKfTPoOrmxv2hu5B/O34sh5emfTr3Qfv9OqFu3fuYMK48WjZwgPe7f7Lu6CgAJt/2oTe\nb78DVydneLi5Y+Tw4Yi9dEnutTZt/Akj3hsG77bt4NzMEd7t2mPmtOky9bl58yY8XN0gkUiwNXiL\n9HdDC1c3mdc68euvGD70PXi6ucPVyRl93nkXe0JCFR7DlqAgdPP1RXNHJ/To0hU7tm1X09khqnp4\nxZeomCOHj0AikWDQ4CFl3ufnrVsxf+48NLW3x0eTJ0EikWBP6B58+P4EfL1oIQYNHizdViKR4MmT\nxxg2ZCi69+yBbt274caNG9ixbTtysnOweUswAGDIe0ORnZ2NyGPH8MW8uTCtUwcA4PTv1aii9XdT\np3wMIyMjjBs/HhIJYGFhAQBYsmgxNqxfjxYeHvhs+nTk5GRj546dGDZkKNZt2IBOnTspPZ67d+5g\n1PARMLewwKgxY2BmZobk5GRcunQRN27cQAsPj3Kf17II2bUb1o0aoWWrVgAAl+bNEbo7BAMGDpRu\nY2pqCt8uXfDL8ePIysqSWQJSUFCAA/sPwM3dDQ4ODgCAzIxMDPD3x9OnTxEwcCDsHezxNOkptm3d\nit/OnkXYwQOwsrKSyeObr76CUFCAIUOHwMSkFmxsbAAAobtDkJWVhf4DAmBpZYUnj59g965dGP7e\nMGzfuVNmnWt4WBg++2Qq7Ozs8PHUTyCRSLB3z14cjzwut24yNzcXo4YPx5Xfr8DP3x+jRo9CRkYm\ndu3ciYH9A7ArNKTENbgAkJiQCP8+ffH8+XMMGzEcjRs3wblzv+GHwDW4HHsZwT9vhUQiweQpUxB9\n7hzW/bAW7w0fJl1KYlrbtJzV+k+1atXQ168f1q75AWdOnUbAwAEycXNzc3Ts9Cb2hIZgzLix0vF9\ne/age48eqG0qf+W5ceMmEAQBIbtD8Om0z0pcT3/v3j389ddfaNuuHWxsbRVuI5FIMGDgQMz74gsc\ni4jAh/YTVTxaxa+dnpaOoYMGw6djR0ybMR3p6RnS+EcffIioEyfwTu93MWToUDx/8Rx7Q0Px3uAh\n2BQchPYdOki33fDjj/Dp2BFvdnoTtd54A3/euIGQXbtx/vx5HDxyGMbGxqhfvz4WffstZs2YAZ+O\nHeHX3x9A4drrIps2/oRF33yDtu3aYfKUKahevTqiok5g5vTpePz4ESb973/SbdesXo0Vy5bDvUUL\nDBs+AtnZWVi1YgUsLC3Vdo6IqhRBw5YtX67pKYjUppWHp+Dh6lbm7TPSMwR3l+ZCN19fIScnRzqe\nnZ0t+L7ZSWjh6iZkZmZKxzt5+wgOtnbCkcOHZV5n3hdfCA62dsKd+Hjp2MrlKwQHWzvhYWKi3Lwr\nl68Q7G1shWFDhgr5+fkysTvx8YKDrZ0weMBAITc3VzqelJQkeLq5C519OgoFBQUyOb03eIj06+DN\nmwUHWzvh6pUrZT4PFZWUlCQ4NrUXVq9cKR0L2rRJcLC1E+Jv35bZNvLYMcHexlbYuWOHzPjJqCjB\n3sZW2BIcLB2bO2eO4ObsIty6dUtm28SEBMHdpbkwe+ZM6diunTsFextboVf3HsI///wjl+Pz58/l\nxpKfPhVatvAQJowbLx3Lzc0V2rZsJXRo207IysqSjufk5AhvdvAWHGzthPCwMOn4+nXrhGZ2TYXf\nzv4m89qZmZmCd7v2wohhw+TmfdXkiR8JDrZ2wpnTp2XGv17wleBgayfs3bNHOnb2zBnB3sZWJoeS\n7Nq5U3CwtRMijx1Tus2hgwcFextbYcnib6Vjy77/XnCwtRNuXL8uHDsaITjY2glXfv9dEARBOB8d\nLdjb2AqnT50SLsfGCvY2tsKawEDpvmlpaYJ3u/aCg62d0K5Va2HSxInC+nXrhEsXL8p87wqCIBw7\nGiHY29gKC7/+usTjiLt8WbC3sRU+nvy/Mh13Ee927YWunTsrjffr3UdwsLUT1q9bJxfbu2ePYG9j\nKxzcf0Bm/OXLl0Kv7j2Et3v2lBlX9D12PDJSsLexFbZt/Vk6lpOTI9jb2Arz582T2z7hQYLgZO8g\nfDH7c7nYzOnTBWeHZsLTpKeCIBR+/zo5NBP8+vQRXr58Kd3uwYMHgkszx8LfA1evKj12Il3EpQ5E\nxWRnZ8OkHDeSnTlzGs+ePcOIUaNk1qIaGxtjxMiReJaTg9/OnpXZx8LSEr3eektmrOiqz/3798s8\nt0Qiwagxo6GnJ/tjXLTE4v0PJshcBbKwsIB/QAAePnyIa9euKX3dWrVqQRAEHIuIkLvpSFNCQ0Ig\nCELh2+L/6tOvH/QNDBC6O0Rm286+vqhTty7C9u6VGQ/buw+GhoZ4t3dvAIXrIA/uP4C27dqhXr16\nSEtLk/5nVLMm3Fu0wJlTp+VyGTZ8OKpVqyY3Xnyd77Nnz5Ceng49fX24t2ghswTkyu+/IzU1FQMG\nDoCJiYl0vGbNmhg8VP6xcfvDwuHg4AAnZyeZHHNzc9GhQwfEnI9Bbm6u0nOXn5+PqBMn4ObuDm8f\nH5nYxEkfQRAEREYcU7q/OhQdZ3Z2lsK4b9cuqFO3DkJDCmu5JyQUVvXrw6djR4Xbm5qaIvzgAYyf\nMAEmtUwQceQovvt2CQYFDEDXzr4yP1NFc5Z2A2hRPCtLcY4VoW9ggBGjRsmN7w8Lh5mZGTr4eMvU\nNisrC76+vrh18xaSn/63xKnoe0wQBGRlZiItLQ0eHh6oVq1amZcZHdi/H/n5+eg/IEBmzrS0NHTp\n2hW5ubk4Hx0NADhx4gTy8/IwYtQoGBoaSl+jUaNG6PlWrwqcEaKqi0sdiIoxMTFBTnZ2mbdPTEiA\nRCKBvb2DXKyZYzMIgoCEBw9kxhs1aiS3rampKQRBQFpaWrnytbGRf2s34d+1q/YOinMCgIQHD+Dq\n6qrwNd/p3RvhYeFY98NabP5pEzw8PdHxzY54t3dvNGjYsMR8nj17hmc5OTJjtU1NZf5RVWRvaCgc\nnZyQl58vbf4FQUDLli2xb+9efDZjurTBNzAwQO/evbF1yxYkJCSgUaNGyMnJwfHISPh26YI6/y4L\nSU5ORmZmJk5GRaGNl/zTISQSiVyDK5FIYGNrozDH+/fvY+mS73Dm9Gm55qn48SX8+z2h6G13u6Z2\ncjcmxcfHIy8vT2mOAJCRng4zc3OFeaWkpOD58+dwaNZMLlanTh2YmZnJfQ+qW/a/PzMmJoqbTwMD\nA/Tt1w97QkIx5ZNPcPTIEYweO6bE16xXrx6mzZj+79KBdFyOjcWhgwexPywcH074AIePHkFDa2vp\nnKU1tEU5auIJKfXr11d4U2l8/G2kpqYqrC1QWN+UlGSYWxTW9uSJKPywZg3+uHoVL1++lNkuIyND\n4Wu86k58PARBQICfv8J44ZyFNwcmJiQAAOzs7OS2U/T7g+h1wMaXqBiHZs1w8cIFJCYkwrqRdanb\nq3JzdYnP/y3nCxoZKXjaQAXv+K5WrRqCtm7B1StXcPrUKcScj8HK5SuwasVKLF+1UulNfwCwcf0G\nrF65Uvq1RCLBzzu2o03btkr3OR8djfv37kMikaBbZ1+ZWFHj9+svv8g8UcAvoD+2BAcjbO8+TJ7y\nPxw5dBgvXrxAP38/6TZFDWbHN9/EuPffByB/XiQS+Te9jIyM5Mays7MxOGAAcnNzMXb8ODg4NIOx\niTH09PQQuGq1zI1Krza2pREEAc4uLpg5e7bCHIHCPx5K2r+y/XnjBiQSicIGqsiAQYOw+adNmDrl\nYzx//hz+AfLP4VWmaG23b5cusLCwxMb163Ho4EG8/8EHcPj3j7lrfyh/FwMA/rha+EEMzRwdyzxv\nWSn8OUThj2KDBg2waMkSKKttk3/XkEefi8b748bBwcEBs+Z8joYNG0qvAE8YNx4FQkGZchEgQCKR\nIPCHH1DrDcVNftEfZUXfOwqf11sFvq+INIGNL1Exvd7qhQsxMdi9ayemfvZZqds3btIYgiDg1q2b\ncneg37p5ExKJBI0aN1YpF1UfHt+4SWPp/K9eXb51s/BpB2XJyc3dHW7u7pg4CXjy5Al6v/0Oli9d\nVmLj69+/P1q3aS0z5uzsXOI8Ibt3o3r16vh++TKFxzxn1myE7Not0/i6urrCoVkzhO0rbHz37d2L\n2v82R0XMzMxgbGKCnJxspU8HKKuzZ84gNTUV3y9fhj59ZZ9CsGSx7OOxGjVqBEEQcPfOHbnXiY+P\nlzvGJjY2+Pvvv1XO0dzcHEZGRrh186ZcLD09HampqfD08lLptcvi5cuXCN8XBn0DA/i8qXjpAgA4\nODjA3d0dv509izZt26Kxij8Xnp6eEAQBSU8Kn3RgY2ODZo6Ff7Deu3dPejPiq0JDdkNPTw89evZU\naV5V2NjY4Pe4OLRu01pm2ZEiB/YXPuljy/ZtqFu3rnQ8LS0Nz58/l9m2pN8NRcdfz6ye9EZRZYpu\nIrx9+zbc3N1lYrdv3S5xXyJdxTW+RMUMHDwYdnZ22Lh+g8LHkQHAH1evYtvWnwEAPj4+qFmzJrYG\nByOn2Fv82dnZ2BK8BTWNjeXWXZZVTePCNcPF7xAvi67dugEANvy4Hnl5edLxp0+fYm9oKBpaW6N5\n8+ZK91e03MLKygp169ZFRnp6iXNbN7JG+w4dZP6r9Yb846WKZGVlIeLIUXR88030eust9OzVS+6/\nrt264dTJkzKPewMA//7+SHjwAAfC9+NCTAz69Okj01wUPiqrD2IvxSLymOI1rqmpqSUeTxE9PT0I\ngoCCAtmrbidPROGPq1dlxlp4eKBevXoIDQmVefs9Ozsbu7bvkHttP39/JD15gqBNmxXn+Moza1+l\nr68P3y5dcPXKFZz77TeZ2A+BgQCAHr000+y9ePECn30yFY8fP8aw4cNhWcqTAGbMnoXJU6Zg6mef\nlrhd7KVYpUsXjkVEQCKRwKHZf2/FT5sxA/n5+Zg6ZQoyMzLl9ln63Xe4euUq+g8IQFP7pmU4MvXw\n8/fH8+fPsWLZcoXx4rXV1yt8J+jVK/iB/z7CsLgaNWpAX18f6Qp+Ht/t06fw0W5Ll8kslyiSkZEh\n/b3Q2bczDAwNsSUoWGbb+/fvI+Lo0TIcIZHu4RVfomJq1KiB9Zt+wvtjxmLihA/g7eMD744+qGNa\nB3//nYroc9E4feoU3v/gAwBArTfewPSZMzF/3jz07+eH/gH9IQgC9u7Zi4QHD/D1ooUyNziVR9GV\nrW8XL0Lfvv1QvXp1ODg2QzMFazmLs7Wzw7j338fG9esxZOAgvPPuu8jOzsKunbvw7PlzLF+1ssQr\nRmtWB+LM6dPo0qULrP+9evnL8eO4e+eO9LjV5UD4frx48aLEG2l6vtULe0JDsXfPHpn5+/bzw/dL\nvsPcOXMAQPpYp+KmzZiOy7GxmPThRLz9zjvw8PSAgYEhHiYmIioqCp5enjIfO6ts2UCbtm1Rr149\nfLPgK9y/dx+WVpa4/sc1hIeHo5ljM9yJ/+/qroGBAWbMnoUZn01D/779EDBwAPT09LAndA/MzMzw\n+PFjSPDf+R8zbix+O3sGC7/+GmfPnkHbdu1gYmyMR48e4bezv8HExARBW7eUeB6nzZiB3377De+P\nHYf3hg9Do0aNER19DkcPH0EH7w7o269fifuXRhAEnI8+j5ycnMIbr7KycPPPv3DsWATS/k6Df0AA\nZn0+u9TXadO2bYnLXoqE7d2L8LAwdPb1hbtHC5jWNkVa2t848esJxJw/DycnJ/j595du39nXF3Pm\nfoFF3yxEj65d0X/AANja2iIjMwNHDx/B73Fx6NS5M+Z9Ob9C56G8/AP642RUFNavW4fLsbHo1LkT\napua4vGjx7h44QIy0tNx4MhhAIXf5zu2b8fwoe9h0OBBkEgkOBl1EomJiTB+5XeIRCKBm7s7Tvzy\nKzZu2ID6VvVhYGiAnr16wcbGBp/P/QJfz1+At3r0RJ++fVG/QX2kpqTixvXr+PWXX3Am+hxMTU1h\nZm6OiR99hNUrV2LwgAHo07cfsrKysG3rVjg0a4brJdwES6Sr2PgSvaJJkybYf+gQdmzfjoijR7Bu\nzQ/IefYMprVrw9XdDd8vX4beff77FKf3hg+DhaUFNq7fgMBVqwEATs7OWLv+R+nV1+KUNZ2vjnu1\nbIkZs2Zi+7bt+Hz2bOTn5WHylCmlNr4AMH3mDNjY2mDb1p/x/ZIlMDQ0hIenJ1auXqXwY4CLz92j\nZw+kJCfjyOHDSElJQY0aNdDExgYLFy+We0ZrRYWG7IahoSG6du2qdBtvHx8Ym5hgT6hs42tuYQ6f\njh1x6uRJNLW3h6ubm9y+td54AyH79mLj+vU4cvgwjkdGQt/AAFZWVmjTpg0GDh4ks72y2tSuXRtB\nW7fg20WLsSUoCPkFBXBzc8Pm4GBs+3kr7ty5K7O9n78/qlWrhrWBa7By+QqYmZlh0NAhsLOzw+SJ\nH8k8IcLQ0BCbt2zB1uBghIeFYfWKwjXSFpYW8PDwhH9Af5TGupE19oWHY/mypQjbuw+ZmZmo36AB\nPpo8CR9+9JHccZV3GY1EIkHw5sIr0vr6+jA2NoZ1o0bo9dZb8PP3h4enZymvUPrrF/9jYNjIEahT\ntw6iz0Xj4oYL+DstDdWrV4eNjQ0++XQqRo0ZI/fRwyNHj0ar1m2wedNPOLA/HCnJKTA2NoaTszOW\nLP0e/fz8Xp22XPmVGIfy+MrA1fDZ3RGhu0Pww5ofkJ+XB3MLC7i5uWHUmNHS7bx9fLBi9Sqs+2Et\nln73PWrWrIk3O3XCt98twdu93pKbY9GSb7Fg3pcIXLUaz3JyYFSzJnr2KvwDcviIEXB0dMRPGzZi\n288/IzsrC3Xr1UNT+6aYPmumzA1+k6f8D7Vrv4EtwcH47ttvYW1tjY8/nYrc3Fw2vvRakggavjNi\n+YoV+OTjjzU5BRGRTvhx7Tos/e477N0frvSpGkREpDlc40tEpGa5ubly64Gzs7Ox7eetqFu3bqk3\n/BERkWZwqQMRkZrdvXsXE8aNx7u934V1o0Z48vgJ9u3ZgyePn+CbxYtKfqQdERFpDBtfIiI1MzMz\ng4eHB/aHhSM1NRX6BgZwcnLC7DlzNPaEBSIiKh0bXyIiNatbty6Wr1pZ+oZERKRVXONLRERERKLA\nxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5EREREJApsfImIiIhIFEptfBMTE9GlSxe4uLjAzc0N\nq1atAgCkpaWhR48ecHR0RM+ePZGRkaHxZImIiIiIVFVq42tgYIBly5bh+vXrOHfuHNasWYM///wT\nixcvRrdu3fDXX3+hS5cuWLRokTbyJSIiIiJSSamNr5WVFTw8PAAAJiYmcHZ2RmJiIsLDwzFy5EgA\nwMiRIxEWFqbZTImIiIiIKqBca3zv3buHuLg4tGvXDklJSbC0tARQ2BwnJydrJEEiIiIiInUoc+Ob\nnZ2NgIAArFy5EiYmJpBIJJrMi4iIiIhIrQzKslFeXh4CAgIwfPhw9O3bFwBgaWkpver75MkTWFhY\nKNzX0sICjx49Ul/GREREREQKNGjQoMR4mRrfMWPGwMXFBVOmTJGO9enTB0FBQZgxYwaCg4OlDfGr\nkp4+LTUJIiIiIiJNK7XxPXv2LLZt2wY3Nzd4enpCIpFg4cKFmDFjBgYOHIhNmzahcePGCAkJ0Ua+\nREREREQqKbXx9fb2Rn5+vsLY8ePH1Z4QEREREZEm8JPbiIiIiEgU2PgSERERkSiw8SUiIiIiUWDj\nS0RERESiwMaXiIiIiESBjS8RERERiQIbXyIiIiISBTa+RERERCQKbHyJiIiISBTY+BIRERGRKLDx\nJSIiIiJRYONLRERERKLAxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5EREREJApsfImIiIhIFNj4\nEhEREZEosPElIiIiIlFg40tEREREosDGl4iIiIhEgY0vEREREYkCG18iIiIiEgU2vkREREQkCmx8\niYiIiEgU2PgSERERkSiw8SUiIiIiUWDjS0RERESiwMaXiIiIiESBjS8RERERiQIbXyIiIiIShVIb\n37Fjx8LS0hLu7u7Ssfnz58Pa2hpeXl7w8vLC0aNHNZokEREREVFFldr4jh49GhEREXLjU6dORWxs\nLGJjY9GrVy+NJEdEREREpC6lNr4+Pj6oU6eO3LggCBpJiIiIiIhIE1Re47tmzRp4eHhg3LhxyMjI\nUGdORERERERqp1LjO3HiRMTHxyMuLg5WVlaYOnWquvMiIiIiIlIrA1V2Mjc3l/7/+PHj0bt3b6Xb\nWlpY4NGjR6pMQ0RERERUZg0aNCgxXqbGVxAEmTW9T548gZWVFQBg7969cHV1Vbpv0tOnpSZBRERE\nRKRppTbpPe3HAAAbkUlEQVS+Q4cORVRUFFJTU9G4cWPMnz8fJ06cQFxcHPT09GBjY4Mff/xRG7kS\nEREREams1MZ3+/btcmOjR4/WSDJERERERJrCT24jIiIiIlFg40tEREREosDGl4iIiIhEgY0vERER\nEYkCG18iIiIiEgU2vkREREQkCmx8iYiIiEgU2PgSERERkSiw8SUiIiIiUWDjS0RERESiwMaXiIiI\niESBjS8RERERiQIbXyIiIiISBTa+RERERCQKbHyJiIiISBTY+BIRERGRKLDxJSIiIiJRYONLRERE\nRKLAxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5EREREJApsfImIiIhIFNj4EhEREZEosPElIiIi\nIlFg40tEREREosDGl4iIiIhEgY0vEREREYkCG18iIiIiEgU2vkREREQkCmx8iYiIiEgUSm18x44d\nC0tLS7i7u0vH0tLS0KNHDzg6OqJnz57IyMjQaJJERERERBVVauM7evRoREREyIwtXrwY3bp1w19/\n/YUuXbpg0aJFGkuQiIiIiEgdSm18fXx8UKdOHZmx8PBwjBw5EgAwcuRIhIWFaSY7IiIiIiI1UWmN\n79OnT2FpaQkAsLKyQnJyslqTIiIiIiJSN97cRkRERESiYKDKTpaWlkhKSoKlpSWePHkCCwsL5dta\nWODRo0cqJ0hEREREVBYNGjQoMV6mxlcQBAiCIP26T58+CAoKwowZMxAcHIy+ffsq3Tfp6dNSkyAi\nIiIi0rRSlzoMHToUHTp0wM2bN9G4cWNs3rwZM2fORGRkJBwdHXH8+HHMnDlTG7kSEREREams1Cu+\n27dvVzh+/PhxtSdDRERERKQpvLmNiIiIiESBjS8RERERiQIbXyIiIiISBTa+RERERCQKbHyJiIiI\nSBTY+BIRERGRKLDxJSIiIiJRYONLRERERKLAxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5ERERE\nJApsfImIiIhIFNj4EhEREZEosPElIiIiIlFg40tEREREosDGl4iIiIhEgY0vEREREYkCG18iIiIi\nEgU2vkREREQkCmx8iYiIiEgU2PgSERERkSiw8SUiIiIiUWDjS0RERESiwMaXiIiIiESBjS8RERER\niQIbXyIiIiISBTa+RERERCQKbHyJiIiISBTY+BIRERGRKLDxJSIiIiJRMKjIzjY2Nqhduzb09PRg\naGiImJgYdeVFRERERKRWFWp89fT0EBUVhTp16qgrHyIiIiIijajQUgdBEFBQUKCuXIiIiIiINKZC\nja9EIkHPnj3RunVrbNiwQV05ERERERGpXYWWOvz222+wsrJCcnIyunfvDmdnZ/j4+KgrNyIiIiIi\ntalQ42tlZQUAMDc3h5+fH2JiYuQaX0sLCzx69Kgi0xARERERlapBgwYlxlVufJ89e4aCggKYmJgg\nJycHx44dw7x58+S2S3r6tNQkiIiIiIg0TeXGNykpCX5+fpBIJMjLy8N7772HHj16qDM3IiIiIiK1\nUbnxtbW1RVxcnDpzISIiIiLSGH5yGxERERGJAhtfIiIiIhIFNr5EREREJApsfImIiIhIFNj4EhER\nEZEosPElIiIiIlFg40tEREREosDGl4iIiIhEgY0vEREREYkCG18iIiIiEgU2vkREREQkCmx8iYiI\niEgUDCo7AVLd2PNZSM8VpF+bGkrwU9talZgRERERUdXFK746rHjTq+hrIiIiIvoPG18iIiIiEgUu\ndSAiUUpq2w4FKSkyY3pmZrA8H11JGRERkabxii8RidKrTa+yMSIien3wii/Ra6Jdq9ZIKda4mZmZ\nIfrihUrMiIiIqGrhFV+i10TKK1crX/2aiIhI7Nj4EhEREZEocKmDGr36XF3g9Xm27qtvowN8K52I\niIh0CxtfNVL0HN2q+Gzdkj74QllM0dvmfCv99canHhAR0euGSx1EqKQPvuCHYlARPvWAiIheNzpx\nxfd1XkJARERE2hf813A8z0+Xfm2kb4qRjlsrMSPSBp244qsrSwiIiIhINxRvehV9Ta8nnbjiq228\nwlz5VL2ZjjfhERERkTJabXy13VCqOp+2rzCLtdEuqUlV9WY63oRHRKSbXl16AHD5AamfVpc6aLuh\n1JUlErqSp7qxSSUioiKKlhpw+QGpm84vdRDr1VIqv6q0DIIfLyw+rz4eTpOPhouLjUVeXq7MmIGB\nITy8vDQyHxGRrtD5xlfVq6W6suyipGfuUvlUpSvMJX28cElNMRtm3fXqo+A0+Wi4V5teZWNERGKj\nE0910ARdWXbB5+qKT0lNcUkxIiIiKlmFrvgePXoUH3/8MQoKCjB27FjMmDFD5dfSlSULupJnVVGV\nlhdoW1W5Oqsrn8CmK3mSvNd9acWrx/c6HVtJeLMZVVVpZ6Mh5P73MykxNEQd73Zl2lflK74FBQWY\nNGkSIiIicO3aNezYsQN//vmnqi+nMzd46UqeVUVVWl6gbVXl6qyufAKbruRJ8l73pRWvHsvrdGwl\n4c1mVFUVb3oVfV0Sla/4xsTEwMHBAU2aNAEADB48GOHh4XByclL1JUmNtLk2WNtXdavSfGK+oq2M\nJq7cqvqa2t5PVcpufHvdr6SWpKRjVzVGukvbn7Km7Iriq+PFY1WJruRZGVRufB8+fIhGjRpJv7a2\ntkZMTIxakqKK0+baYG1f1dXEfKo+U1jXr2hrosEr6cqtqvOp+pqqXkVWdT9Vn9yg7MY3TVxJ1XZj\nqOp8JR27qjFNUGUZRElLCFSNqUpXXlPbn7Km7IqioiuL5bnaqE4lNbeq5qlqw1zSfuWJaaM5V3mp\ngyDIN1ISiaRCyRBVFl1vYFWl7eUFmpivKi2R0OaTG1Sl7caQyyDklbSEQNWYqnTlNUmeJppwVV+z\npP3KE9PGHxESQVEHWwbR0dH48ssvcfToUQDA4sWLIZFI5G5wW75iRcWzJCIiIiIqg08+/lhpTOXG\nNz8/H46Ojvjll19Qv359tGnTBjt27ICzs7PKiRIRERERaYrKa3z19fURGBiIHj16SB9nxqaXiIiI\niKoqla/4EhERERHpEtF+chsRERERiQsbXyIiIiIShUprfDMyMrB///5y73fw4EGdmFPbx6cL87F2\nujsfa6e787F2ujufrtRO1flYO/XNV5E5X+faKaLyzW2qiI+Px6+//oqoqChcunQJpqam6NOnj9x2\nc+fOxd27d7F1a+HDrlu0aIGXL18CKPyo5MzMTAwdOrTKzant46us+YKDg5GSkoKGDRvKzcfasXba\nPj6x1K6k+fbt24e4uDgUFBTgq6++Yu10aD5drV3x+bTxe4W108zxvY61K41GG9+8vDzExMTgxIkT\n+PXXX5GUlITmzZvj2rVrqFWrFo4fP65wv3PnziE9/b+HXRsaGuLAgQMAgN69e2PLli1KD16bc2r7\n+KrKfMnJydi2bRtatWqltrm0fXxV5VyydqydOuZbt24dAgMDMWzYMHz11VesnQ7Npyu1K2k+Tfxe\nqSrHxtpV/dqVl0Yb37Zt26JWrVro2rUrZs2ahXbt2sHExATu7u4oKCiAnp7ilRbJyckynwI3e/Zs\nNG7cGEDhCX3w4AGmT5+ucN9Dhw7B3NxcK3MeOnQIhoaGsLKy0srxFc3Xv3//Sp3P0dERLi4uap2r\naD7WTrPzsXa6W7uS5nv69CnMzc2R+++nHrF2qp9Lbc+nK7Ur6fg08XuFtWPtynM+AWDJkiVKY8Vp\ntPF1dHTElStX8Pvvv8PY2Bi1atWCp6cnJBIJ2rZti2XLlmHmzJkwMPgvjfz8fNSsWRMWFhbSMX9/\nf+n/C4KAunXrSk/Gq8zNzZGSkqKVOc3NzZGUlIScnBxcuXJF48dXNJ+2zqey+fT09Fg7NZ1L1o61\nU8d8dnZ2+PTTT9GmTZtyzVU0H2vH2lXk+DTxe4W1Y+3Kcz7LQ+PP8c3IyMCpU6cQFRWFM2fO4J9/\n/kFubi6mTJmCsLAwpKenw9XVFbVr10ZGRgauXbuGGjVqIDU1Fd7e3vD09ETt2rWRmZmJq1ev4siR\nIwgKCkL79u2rxJzaPr6qMN/Lly9hZmaGly9fwt3dnbVj7Vi7Sp7v8uXLyMrKgre3N9q3b8/a6dB8\nulQ7ZfNp6vdKVTg21k43alceWv0Ai4KCAly8eBFRUVGIiorC3bt3sXr1aty4cQMpKSkwMzODs7Mz\nunbtiidPniAoKAjXr1+XxpycnBASEoK4uLgqOae2j68y5ztx4gTu3buHiRMnsnasXaUen5hqV9J8\nLi4uCA4OZu10cD5drN2r82n69wprx9qV53yWSKhEDx48KPc+Fy5c0Jk5tX18VX0+1k5352PttDff\n48ePS4wpmq+kfWJiYkrMRZX5VJ1Tm3Ppyny6UruS9isaV+fxVZVjK2k+1q58cxXF1H1s5aXRxnf3\n7t3CL7/8ojD21VdfCV9++aVaY7/++qswbdo0rc25e/duYcWKFcLOnTs1PldVimniuFk71q4yj6Eq\nxdzd3RUemyAIgqenZ7nGS4tVZF9VYtqcS1diulK7kmJVJQ9tx1i7qhErL41+gMXatWvh5OSkMBYZ\nGYljx46pNebi4oIDBw5obc61a9fC19cXa9as0fhcVSmmieNm7Vi7yjyGqhSTSCQKjw0ovMGjPOOl\nxSqyryoxbc6lKzFdqV1JsaqSh7ZjrF3ViJWXRp/qkJaWJnOHXnEZGRlKD0TVWN26dVFQUKC1OdPS\n0uDg4IDMzEyNz1WVYpo4btaOtavMY6hKsYKCAvz9998IDQ2Vi718+RKzZs1Cy5YtFY4LgiD3PE5l\n+xSP79mzR2E+Je2rSkzVPF/nmK7UThPHoOsx1q5qxIoEBAQojRWn0ca3adOmOHjwIPr16ycXMzMz\nQ0FBgcL9VI0dPnwYRkZGWpuzadOmWLRoEZo2barxuapSTBPHzdqxdpV5DFUplpubCyMjI4SHh8vF\n8vLyEBkZicTERIXjAPDw4cMy7VM8HhYWpjSmbF9VYqrm+TrHdKV2mjgGXY+xdlUjBhS+U1bWxlej\nT3WIiYnBhAkT0KFDB+mjKYoeAXLmzBkAgI+Pj9pi586dw5QpU7BixQq5OePi4nD69GmF+6oa+/XX\nX3Hp0iW0bNkSXbp00fjxKYtp4ti0fdysHWvH2hXGIiMjsWXLFrRt2xav8vLyQmxsbJnHS4tVZF9V\nYtqcCwA8PT1x+fJlrcW0eU4qsq8u1JW1Y+3KGisvjV7xbdOmDQ4fPoygoCCcPHlS5rEVR44cgUQi\nUWvs4MGDaNCgAXr27InNmzcr3FdPT09tMVdXV8yYMQOHDx+WGXdxcVG6T0Vj6j5nqsRcXV0xffp0\nHDlyhLVj7Vg7NceMjIwUNr2A7q811Pbav+KfAqWNGNeJqi/G2mkn9jrUrry0+hxfoPDTOYo+wzkq\nKkrmBg91xCIiIhAYGAg3Nze5ufft2wdBEGQ+DaQisbS0NMTGxsLMzAwtWrTA2rVrkZ+fDwB4/vw5\nOnfujNatWwOAWmLbt2/H7t27YW1tLZdj7969pZ9pra6YIsrqwNqxdqydemI//vgjJkyYIDNWdK5X\nrVqF1NRUuTrMnTsXxsbGCuuqbJ+i2oWHh2Pjxo0Kazd//ny4ubkprI8qscDAQDg5OcHc3BwtWrTA\nunXrkJeXB6DwHcLJkydLa6COWGBgII4fP66wds7Ozrhx44bceEVir3PtAGDu3Lno2LEjunfvDuC/\ncx0TEwNHR0eMHDkS1tbWrB1rp9XalZdWGt+0tDScPHlS+gkeOTk56Ny5M7p37w5fX1+1xq5fv670\nH+CePXsiLy8Pv/zyi1piH374IVq1aoW9e/fi0KFD8PT0RPfu3SEIAk6fPg1ra2vpDSrqiB08eBBd\nunRReMe3Jt8+UFa/Dh06oFatWqwda8falbM+FaldSXVQpa6VXbtu3boBgMIaVDTG2qmvdgAwbNgw\nJCQk4OTJk9Jz0a1bN8TExKB27dpo1KgR1qxZw9qxdpVSu7LS6FKH9evX48SJE7h69SqaNm2KDh06\nYNmyZZg8eTI8PT0REhKCuXPnqi22du1aeHp6wtXVVWE+T58+VXp5XpVYbGwsli9fjsDAQACApaUl\nlixZAqBwmUfxRdjqiEVGRuLChQtISEiQy6WgoAAxMTGoX7++2mI7d+7EuXPncPPmTZlz/eGHHyI9\nPR3ffvsta8fasXZaql1JdVC1rlWhdt999x0AxTWoaIy1U1/tAODmzZt4+fKl9Ouic922bVscPnxY\n2viwdqydNmtXpFGjRkpjxWm08V22bBkaNGiA+fPn46233kLNmjU1GgMK75a+evUq3N3d5fKpVauW\n0m8KVWJ6enqIjo5G3bp1AQBHjx6VxiQSifStUnXFXrx4gefPn0vfqihOEAQMHz5c4TqYisQAYOHC\nhTLnOi8vD0lJSaxdOWKsHWtXnhggXztAeR1UrSvA2rF2ZY8JggBTU1Pp10XnWk9PDw8ePJA+qYS1\nY+20WbuifMq6FEKjje/mzZsRFRWF9evXY968efDw8ED79u0hCIJGYgAwatQoTJw4Ee+//z48PDxg\namqK9PR0xMXFIScnBwCwZcsWtcTs7OwwadIkjBkzRua44+PjYWRkhLy8PPz5558yD/avSExPTw8D\nBw7El19+KXeuNXFn5rlz5xSea0NDQ3Tv3p21Y+1YOy3WrqQ6qFpX1o61K08sNzcXBgYGcufa29sb\nI0aMQIcOHdRWV9aOtStrrLy0dnPb3bt3ERUVhRMnTiA2NhZ16tRBt27dMG/ePLXH2rRpg/Xr1+Pm\nzZvIz8+Hvr4+mjVrhvHjx0MikagtZm9vj3r16uHChQvQ19dH7dq1kZmZiby8PPTp0wf6+vrYt2+f\n2mIFBQWIjY1F9erV5c6vptfNKDvXI0aMYO1YO9ZOy7UrqQ6q1JW1Y+3KEhs9ejQuX76M0NBQmXOd\nm5uLJk2a4MGDB6wda1eptSsToRJkZWUJhw4dEqZPn67RWF5enpCcnCzk5eXJba/OWGpqqhAdHS0c\nOnRIiI6OFlJSUjQSGzdunFw+RTQRU0ZZHVg75THWTv0x1q70GGvH2mkipqwOrJ1q+7B2FYuVl9Yf\nZ0ZEREREVBn0KjsBIiIiIiJtYONLRERERKLAxpeIiIiIREGjjzMDgLHns5Cey2XEusbUUIKf2tZC\nu1atkZKSUtnpUDmYmZkh+uIFJLVthwLWTufomZnB8nw04mJjkZeXW9npUDkZGBjid+PleJ6fXtmp\nUDkZ6ZtipONWpJ2NhpDLnz1dIzE0RB3vdqVup/Ervmx6dVNR3dj06p6imrHp1U1FdWPTq5vy8nLZ\n9Oqoorqx6dVNZa0blzoQERERkSiw8SUiIiIiUWDjS0RERESiwMaXiIiIiESBjS8RERERiQIbXyIi\nIiISBYkgCHzeGBERERG99njFl4iIiIhEgY0vEREREYkCG18iIiIiEgU2vkokJSVhyJAhcHBwQOvW\nrfHuu+/i9u3bZdr38uXL0NPTQ2RkpIazJEVUrV1OTg4mTpwIe3t7tGzZEq1bt8ZPP/2khYzpVarU\nsF27dvDy8kKTJk1gYWEBT09PeHl54cGDB1rKmv7++2/pea9fvz6sra2lX+fl5ZW6f0pKCqpVq4YN\nGzZoIVsqriK1y8vLw8yZM9GsWTO0atUK3t7eiIiI0FLmBFSsfvn5+Zg9ezaaNWsGLy8veHl5YdGi\nRVrKXPsMKjuBqsrPzw+jR4/Gjh07AABXr17F48eP0aBBA9SsWbPEfXfu3ImOHTtix44d6N69uzbS\npWJUrd24cePQtGlTaYOVmpqKTZs2aSVnkqVKDaOjowEAwcHBuHTpElatWqW1fKlQ3bp1cfnyZQDA\nggULYGJigqlTpwIA0tPTYWpqWuL+ISEhaN++PXbs2IHx48drPF/6T0VqN2fOHCQlJeH69eswMDBA\ncnIyTp48qZW8qVBF6vf555/j6dOnuHbtGgwNDZGTk4OlS5dqJe/KwCu+Cpw4cQLVqlWT+cXr5uYG\nR0dHNG/eHB9++CEuXryodP/Q0FAEBQUhIiICL1++1EbK9C9Va3fnzh1cuHABX3/9tXSsXr16mDZt\nmlbypv9U9OePqoZXHxjUqlUrDBs2DCdOnFC6z44dO7B06VIkJibi8ePHmk6RlChP7Z4/f46NGzci\nMDAQBgaF19LMzc0REBCglVxJnqr1MzQ0BAAYGxtj7ty5Wsm1MrDxVeCPP/5Ay5Yt5cYtLCxw8+ZN\n+Pr64vPPP0fLli0RGBiItLQ06TZnz56FnZ0dbG1t4evri8OHD2szddFTtXbXrl1DixYttJ0uKVCR\nnz+qum7duoWhQ4ciMDAQzZs3x+LFi2Wa28TERCQlJaFVq1YYOHAgdu3aVYnZUnEl1e727dto0qQJ\njI2NKzlLUqYs9SvtnezXCRvfcjI0NMTAgQMRERGBsLAwREZGomHDhnjy5AmAwisWgwcPBgAMGjQI\n27dvr8x0qZjSalfcwoUL4enpiYYNG1ZCpqRMeWpIVYtEIsHbb7+NPXv24OTJk4iPj0eTJk2kV+93\n7tyJgQMHAgAGDhzI351VSGm148cBVG3lqV9QUBA8PT3RuHFjPHz4sLJS1ig2vgo0b968xLdSk5OT\nsWzZMvTu3RsFBQXYsWMHLC0tUVBQgD179mDBggWws7PD5MmTcfToUeTk5Ggxe3FTtXYuLi74/fff\npdvNnj0bly9fRlZWljbSpmJUrSFVfZmZmdiwYQP69OmDW7duYdOmTXB3dwdQeNEgKCgIdnZ26Nu3\nL65cuYL4+PhKzpiKKKudvb09EhIS+O9cFVfW+o0aNQqXL1+Gqakp8vPzKzlrzWDjq0CXLl3w8uVL\nmTv6r169ilOnTsHPzw+dOnXCixcvcOTIERw4cAB9+/aFRCJBZGQkPDw8cP/+fdy5cwf37t1D//79\nsW/fvko8GnFRtXZNmzZFq1atMGfOHBQUFAAAXrx4wSsZlUDVGlLVNnz4cLRs2RJ3797F1q1bERUV\nhWHDhqFatWr466+/8OzZMyQkJODOnTu4e/cuZs2aJb25kSpXSbUzMjLC2LFj8b///Q+5ubkACp/O\nERoaWslZU5Gy1G/SpEn4559/ABQ+5eF1vj+JT3VQYt++fZgyZQoWLVoEIyMj2NjYYOHChZgyZQo6\nd+6scJ+dO3fCz89PZszf3x/r1q3DsGHDtJA1AarVDgA2btyIzz77DPb29qhXrx6MjIywZMkS7SVO\nUqrWkKquQYMGITg4GHp68tdblP3uHDJkCObMmaOtFEmJkmoHAF999RXmzJkDFxcXGBkZwdjYGAsW\nLNBylqRMafX7+uuv8cUXX8DV1RVvvPEGjIyMMHLkSDRo0EDLmWqHROAlLSIiIiISAS51ICIiIiJR\nYONLRERERKLAxpeIiIiIRIGNLxERERGJAhtfIiIiIhIFNr5EREREJApsfImIiIhIFNj4EhEREZEo\n/B/mtI382tNBMQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2ec4e44e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum_map(\n",
    "    x=1,\n",
    "    y=1,\n",
    "    y_max=y_max,\n",
    "    x_inches=12,\n",
    "    heights=[mice.mean(axis=0)],\n",
    "    xlabels=[xlabels],\n",
    "    labels=py_labels,\n",
    "    titles=['C10 - Average of AFB$_{1}$ Treated'])\n",
    "\n",
    "spectrum_map(\n",
    "    x=1,\n",
    "    y=2,\n",
    "    y_max=y_max,\n",
    "    x_inches=12,\n",
    "    heights=model.components_,\n",
    "    xlabels=[xlabels, xlabels],\n",
    "    labels=py_labels,\n",
    "    titles=['NMF Signature 1 - (AFB$_{1}$)', 'NMF Signature 2 - (DMSO)'])\n",
    "\n",
    "spectrum_map(\n",
    "    x=1,\n",
    "    y=1,\n",
    "    y_max=y_max,\n",
    "    x_inches=12,\n",
    "    heights=[controls.mean(axis=0)],\n",
    "    xlabels=[xlabels],\n",
    "    labels=py_labels,\n",
    "    titles=['Controls - Average of DMSO Treated'])\n",
    "\n",
    "print('Completed in {} iterations.\\n'.format(model.n_iter_))\n",
    "print('Frobenius norm of the matrix dfference (Reconstruction Error): {:0.3f}\\n'.format(model.reconstruction_err_))\n",
    "print('Cosine Similarity of NMF-AFB1 and Signature 24: {:0.3f}'.format(1 - cosine(model.components_[0], sig24)))\n",
    "print('Cosine Similarity of NMF-AFB1 and AFB1-Average: {:0.3f}'.format(1 - cosine(model.components_[0], C10)))\n",
    "print('Cosine Similarity of NMF-DMSO and DMSO-Average: {:0.3f}'.format(1 - cosine(model.components_[1], controls.sum(axis=0))))"
   ]
  }
 ],
 "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": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}