{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Uses For PCA Other Than Dimensionality Reduction Part I\n",
    "## Decorrelation, Factor Discovery, and Noise Modeling\n",
    "\n",
    "Principal Component Analysis (PCA) is frequently applied in machine learning as a sort of black box dimensionality reduction technique. However with a deeper understanding of what PCA is and what it does we can use it for all manner of other tasks e.g.\n",
    "\n",
    "* Decorrelating Variables\n",
    "* Semantic Factor Discovery\n",
    "* Empirical Noise Modeling\n",
    "* Missing Data Imputation \n",
    "* Example Generation \n",
    "* Anomaly Detection\n",
    "* Patchwise Modeling\n",
    "* Noise Reduction\n",
    "\n",
    "We will demonstrate how to use PCA for these purposes on an example face dataset. In this first post we will handle up till empirical noise modeling and handle the rest in subsequent parts.\n",
    "\n",
    "<!-- TEASER_END -->\n",
    "\n",
    "PCA is what is what is called a \"low rank matrix factorization\". That is to say if we have a matrix of observations $X$ which in which we have N rows and m feature columns we want to find a good approximation to X call it $\\hat{X}$ which can be written as a product of a tall skinny N by k matrix call it W and a short fat k by m matrix call it H.\n",
    "\n",
    "$$\n",
    "X \\approx \\hat{X} = W~H\n",
    "$$\n",
    "\n",
    "If we pick the W and H which minimize the sum of the squares difference between X and $\\hat{X}$ the result is principal component analysis. We call the rows of the matrix H the \"principal vectors\" and the matrix W is a set of weights by which we can multiply the principal vectors and sum to get an approximation of our data. I usually will call the columns of W \"principal components\" because \"principal component 1\" is a nice shorthand for \"data projected along the direction of principal vector 1\". There is some ambiguity here since sometimes the principal vectors $H$ are also called \"principal components\" usually the context is enough to clear up any ambiguity but I will endeaver to remember to always say \"principal vector\" when refering to the rows of $H$.\n",
    "\n",
    "Another way to think of this is that the principal components H encode information about the general correlation structure of our data (irrespective of row) and W encodes the information specific to each row.\n",
    "What we are doing when we use PCA as a dimensionality reduction technique is to replace our data matrix X by the matrix of weights W.\n",
    "By convention we choose H so that its rows are orthonormal to each other. This means that when we want to apply the same transformation to new data $X_{new}$ we need only project the data onto the principal components $W_{new} = X_{new} H^T$.  \n",
    "\n",
    "If this is still not making sense read on and see if the examples help you out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn\n",
    "import sklearn.datasets\n",
    "import sklearn.decomposition\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "plt.rcParams.update(\n",
    "    {\n",
    "        \"figure.figsize\":(10,6),\n",
    "        \"font.size\":16,\n",
    "        \"image.cmap\":\"afmhot\",\n",
    "        \"image.interpolation\":\"nearest\",\n",
    "        \"image.aspect\":\"auto\",\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Faces Dataset\n",
    "\n",
    "In order to show the utility of PCA for each of our tasks we need a nice rich dataset to play with. A collection of images of faces is ideal since the dimensionality of the data is large but not so large as to be intractable and the amount of correlation between the values at nearby pixels is large. As a nice bonus we all have some intuition for what faces are like and so we can use that intuition to help build up an understanding of what is going on inside the PCA black box. \n",
    "\n",
    "For simplicity we will use the olivetti_faces data fetching function inside of sklearn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces_ds = sklearn.datasets.fetch_olivetti_faces()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Modified Olivetti faces dataset.\n",
      "\n",
      "The original database was available from\n",
      "\n",
      "    http://www.cl.cam.ac.uk/research/dtg/attarchive/facedatabase.html\n",
      "\n",
      "The version retrieved here comes in MATLAB format from the personal\n",
      "web page of Sam Roweis:\n",
      "\n",
      "    http://www.cs.nyu.edu/~roweis/\n",
      "\n",
      "There are ten different images of each of 40 distinct subjects. For some\n",
      "subjects, the images were taken at different times, varying the lighting,\n",
      "facial expressions (open / closed eyes, smiling / not smiling) and facial\n",
      "details (glasses / no glasses). All the images were taken against a dark\n",
      "homogeneous background with the subjects in an upright, frontal position (with\n",
      "tolerance for some side movement).\n",
      "\n",
      "The original dataset consisted of 92 x 112, while the Roweis version\n",
      "consists of 64x64 images.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(faces_ds[\"DESCR\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "faces = faces_ds[\"data\"]\n",
    "#divide by the global standard deviation\n",
    "faces /= np.std(faces)\n",
    "\n",
    "target_ids = faces_ds[\"target\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400, 4096)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data comes with the pixels flattened out to make feeding in to machine learning algorithms a little easier but we will of course wish to visualize them as 64 x 64 images so it will be useful to have helper functions for viewing the data as an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "im_shape = (64, 64)\n",
    "\n",
    "def as_image(arr):\n",
    "    return arr.reshape(im_shape)\n",
    "    \n",
    "def view_as_image(arr, ax=None, **imshow_kwargs):\n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots()\n",
    "    ax.axis(\"off\")\n",
    "    im = ax.imshow(as_image(arr), **imshow_kwargs)\n",
    "    return im\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb83db0bcf8>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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APbaV6VVZ3eHekbFNtpVJVa5VeWWA229/Wyv/QiVJktTICZUkSVIjJ1SSJEmN\nnFBJkiQ1Gm8ofe5Duc2V/zl8fBsEyG6BgPbk2w+i9UfC7QvhOJkrk/NcBW0SsDUBClmm6yXh016B\n89SG3H8S5iSPaNo25iTo4zJoQ8LiKfR8P+iDhOhfC8dJaJo88yRE/NLw4euv5i4WyHlA4cBc2M7l\n6uu5j6tgi5slsvXMYjhOnnlSFJCeNfIskmIhIp2r13nIdl/pfUneP6SgCGwhlELnO2As9NhWpqpq\nM4ypA2+/QMe/UEmSJDVyQiVJktTICZUkSVIjJ1SSJEmNxhtKr+XcZCJcIgqhgQDfJFlZPIXVes1P\n50CbFAQkK4+TUC5ZqTiFBUnIGwQbY0CV3P9eqyaToH2HPi6+ktscejA0AIUF3/hPuc3ZFASvqg9/\nePj4dCqmqKp6FLRJOySQ4gPyPb+Qm5z/5vDx557Pfay9nNt87F/lNukZ2DyTu9gC927pRPu17NnP\nDwm/k/cleUelIDgZlyS4ToLTqTCDvC877TKSQudkhXMyLslOAFPhvXvs3tzHLvwLlSRJUiMnVJIk\nSY2cUEmSJDVyQiVJktRorKH0z380r5T+4APDxw//83+YT7S/16rVKRRHAtwkcEhWp02fiawwTJAQ\nd4/Vf0lYM91fsnpwr39DpEeHrEK/Lzc5fTq3+eq/HT7+2GO5j7R6cFXVww/lNvFZAyF7FBBOK3WT\ncQtWBL8KQtznzg8f30gB+qrrX1uLbRa++b/ztayuDh9/AYTsT5KV9WdBm/ReIKvZ93heybO4V/2Q\nzwPeC6igKIXoe90X8O5OK6WDZ6Q2wHghRWppxfUzYGeDw2/9n/0LlSRJUiMnVJIkSY2cUEmSJDVy\nQiVJktTICZUkSVKjfXfukIqy742P7tsXT57qcL7y4i/nEx3ZJZL/V82l7TuqcmVLqLBBfVSxKo9U\nZUaqFkklVI85d6ftC2JVEKny63VfEvI9E2Dbki88MXx8cTH3sQy2gTryztxmFCr0Xg8VcVVVB8nW\nDyfCcbCVxQ64t889C64lIBWUZ0FlEeknfY9kLPzYB3ObeP+rclUuqfLr8S7stfUMkarvSCU42eIG\nVKhGpFLwOmgDxuWty8PHL4D3QqqmrULbzD37H/5k8Pgf/EE+zcfv3HnLgelfqCRJkho5oZIkSWrk\nhEqSJKmREypJkqRGY916hkQFv5oafPlLuZOf+zlwJhKc7hU07iHdPXKtPcLXBDkP2XqGjJiEhFxJ\nQDVtlUCQiiHxAAAT6klEQVRCo2Drh5tgS4Zj9w0fXzmY+5hbyG3QfZkbPnyQhHLJaykFdy/mLi6B\nNvPgvsyHbXCugLFAtsyYAfc/hdIPHMh9VBhPVVVFxkv693qvopge7zGyDUuPa+mxTVcVC7enAhwS\nSidtwPOatqQi439qMrc5k7e2+uQnh48PR9a/4+O7/Hf/QiVJktTICZUkSVIjJ1SSJEmNnFBJkiQ1\nGmsoncSQT4Tjv/tPX4h9/Oo/IAE+cjUgFLdnUih0r8KcBFhJF11Lj+FKgu2kTbqWa6APcF+2yL0L\n1tfb+6iqmusxpkj4lwSnW6+jqlYO5TbbYCxsh/DvBBi3JHC+uJTbpBD9HOgDvTtIuDqFosl7mbxz\n07NGdkcg10IKWlIxEFkdnqyUTp6j9AyQ9xy5FrDbSnqOer2jvva12OSpcFta9vXwL1SSJEmNnFBJ\nkiQ1ckIlSZLUyAmVJElSo7GG0sm6yz8Ujv/+5dzHr26+mRvNkZBfh4AwCjaSryXNhcl5SOCwV6A8\n6bE6dq/zgNXJu6zaDsZlD1ug4GKDPCNkdezUD/kOr4I2Cfh+RmAskFXOUyid3H9iAty7tGo7ei/0\nksLKvVYN79VPQlYNT8hY6PV5evxekV9pELTfbIl6/2Uf+fP8+Wfzb9GFcLxlUuRfqCRJkho5oZIk\nSWrkhEqSJKmREypJkqRGTqgkSZIajbXKj2wIkGpWnicnevJLuc1H/iboKFUqkE9EkO0WSFViD2Bb\nAVS5kpChmLaHeA30QSrrSEVKatPp3ypToMomVXaRrU9IBRmSKnHIfVkEbVI1T6dXW6rgq8rbauwH\nn5lsKzMDtke5He7LiDzPPcZ/VZ+qXCK9C0llI6lmAxWfcesZMrYJslVLqkok1dnkeb2em6yHNmnc\nVlWdy+/3Tz+Ru0k1iWnOMcS/UEmSJDVyQiVJktTICZUkSVIjJ1SSJEmNxhpKJ5G4FHFdBn28/oef\ni20Odgmlk8AzCJ922cqFBORJEDOFLKv6BITJvUujgQRuyb8h9mp7DrDFxDQYL7ENGQtgzO2A7VxS\nuHQLbIcxR4oy5sJxsjUQCE2TIHgK3BJHj+Y2G2CLj9RmBnzP09dyG1QUcyAc77AdCUKeZ/LOJVvC\npPFNxjZ5XkmbHn8vIfcFvHe327ftufXkU7HN10E/6deo5dfXv1BJkiQ1ckIlSZLUyAmVJElSIydU\nkiRJjcYaSidSbJqsavqpT+U2H/stEJCMGW4SvOsROK/Kq5OT0OjdNJ8m15ICnyR8Su4LeSzSYOh1\n/3usiE9WVQaB57QieFXVhfPDxzdBKH1rLbeZXwjHwZuBtCEWw+rXMyBAPBk+T1XVPBgvGzeGj0+T\nYDUpEOkQxEcrqYOigBjQTgUMVI9nmrz/ye8IeI7itZD3D3jmb1zNbbbC79VGHnOf/kw+zZncJJYW\ntPwq3k2/qJIkSd+XnFBJkiQ1ckIlSZLUyAmVJElSo7GG0sk63WTN3uRLa7nNx555Jjd6fCU0IKsz\nkzZECjf2Wkm3RxvymcloSEiAlQRLSbg9hYhJaJeET8nKykmnlZcnwOvidlg1maz2feVKbnPp9eHj\nJHC+eii32Q/G/4GwIng6To1C+L2qaiE9RyD8Hgteqtiz1qNwhozdFG4nQXByHrITQ4o8k9Xhyf0n\n79T0ucGzSAoUyCro6Tk6fTp28edfzachdy69xUgfu/EvVJIkSY2cUEmSJDVyQiVJktTICZUkSVIj\nJ1SSJEmNxlrlRxbPT3UgpNbhm6BNPfFEbvP4T5KeAnLLSSVI0mPLkipWIdNjOx1S5ZeqnMi/D3oN\n+dlwnGyrQZ6AHv2Qe0u2pwGOHOnTTytS5be4lNuQ7Xamwv0d9ahgrcoVZFW5+o5cCzlPj89EquaI\nVGUGqkaLVGKSZzG9C3tVeff4HQH1bLdAtfJ+UBW9OVwtuP7k12MX38hnQb966a6AWtpd+RcqSZKk\nRk6oJEmSGjmhkiRJauSESpIkqdFYQ+kkQJYifGRjjjOgzZ/+YQ7ffeTXQ7hxBIKwdQm0OQHakK0S\neiDB6fQt9QrlpsAtuVayJQzYbiFeC9nig4RlyegNGzRdvQwuhVxLB3fTeTZu7M255udyH4ePgROR\nLZF6hNJJWLzXFjYJ+Td/jyA42eTsHtAmRZ5JAQ95jxHpNwKch2y9tAn6CW0+/b9yF6/kJmPnX6gk\nSZIaOaGSJElq5IRKkiSpkRMqSZKkRmMNpRPpAkl8kkTFP/X53OYjTz893ODxVXAmEgrdAG3SSt09\nwpxVLPafvgWy8jspUUj35SLoYy03+RZZkzc4AFZePgMC52sv5zbrYZXzayBwexkE19OK4FVVx+4d\nPr4BAv+3wbicCdcyC4LgqY8qFspNtkA4m1zvkcO5zYkTw8cX7s99oFXDSXFBunfk3ULuf2pD3rmk\nECWtyF6VA/Dk85BfNRL4J58pCCucVxUrADn32uDhZ57JXZDSgvSrWJW/gZZ9SvwLlSRJUiMnVJIk\nSY2cUEmSJDVyQiVJktTorg+lp+gdiRuSUPr/AG1++4//aLjB4z8JeiGBQxIWT6vgkpA3CTaSa5lp\nPF7FgvhhrdwboWigqurJL+U2qfigqnauDK+4PloBwd7NHH+8eSW3SZlzcBqWSZ/KsdCFF14YPH4T\nXMuboM2dMCxXQX3ILZByTeepYpnzZBo8Iu8AbVItxOiRU7mTUw/lNouLuU0K/d9HAvJkBfl0LWn1\n+Cr2Xiax6DRgyN8wyIAiq6l3WLV9GwTxL5zPbU6fHjzco8Shiv1apX5a/srkX6gkSZIaOaGSJElq\n5IRKkiSpkRMqSZKkRk6oJEmSGo21yo+cPNUpkNqMfaANWbL+n/zGcA3BJ34NbCWydBycCVTQRKTe\nYdSpTY+6iQ5bKZCKlAceyG1WVmKT0dlXhxuQ7RhAedj0kdzNofS514crEquq7iPXO5PLzG5dG35i\nN0AxJ9kpJ+22k45XsWrCN0D1474wvN8En5nsVER2wdkOhWgra8NVmFVVK1/ObZbI7jRpG5xH/1ru\n42HwJU0/HBqQtztB3qnpHUSq83qcp6p2wvtlBH6B03uuquocqPJbvzF4+GruocsmRASp5fxenl+S\nJOkHmhMqSZKkRk6oJEmSGjmhkiRJajTWUDqI1XW5QBJcJ9vT/Ndw/BO/89u5k4+nAGUV2yohhcVD\ngLvbearyNjcd9uaoqqqF4cNLR3MXS2Ari/tBUcB7Q1j2+su5j7W13Iakq5MNMBY2hkOj1OTmcOh2\nCSTOl0CIvrbC1kurh9r7qEKh3FtheJMgPsj7I2k7nXnyogNFGShFf+Sdw8eX78l9bIPvaDqNF/J3\ng0nQhkihcxJ5BkH8ApUbt0O4fR0Uoly4mNtsgaB9aEN+o3tJd7flUfQvVJIkSY2cUEmSJDVyQiVJ\nktTICZUkSVKjsYbSQdwwalnV9LuV1jj/G7+Z+/izj58DZ1oGbUJAGyFhcRLR67FSOmlzbzg+B/og\n4WsS1g/3ZeFU7uLda7nNTdDmyhvDx8GK7Cj8TkLc5FzJJgjRXw5LmE90erUt52dxMgT6l0JQv6qq\n5sHYnc0rfk+nBgdAEHzlYG5DQumLobhjAVxLU0T4L5GVx/fql4QUC4F31E1Q6ZCc/nZuc+lSbgPG\nZULuPvkWe/2ivV3+hUqSJKmREypJkqRGTqgkSZIaOaGSJElqNNZQOgmZpZAlWWF1r6LXz4E+6guf\ny21+AoRCY3CaBKvJ10/uXvomyXnA6uRxRXYQlK0LoE2HwCcKyD+Sm0wfyW0Op88EQtH1em5yEdy7\ntCw4Cq2D73E23N8rYBVoEn4nUnB9KkbFq1ZXcxsS/p0Nz/0KWEF+eim3QeM7Sc9zVVV74Jn1QcYC\neY7Squ2g+OMW2ClgE6ymnp61M2dyHwQpAAnPwDaIpZO3MinnSlfbUp7gX6gkSZIaOaGSJElq5IRK\nkiSpkRMqSZKkRk6oJEmSGo21yo/UdfXYEGAfaEPqN3rUm9TZ13Kb15/PbQ6mrWdIvQOpshmBNulb\nIsOMXEv6lkA1Va2ANmC7hfiZd0Af5N6SUZcqxMi/m8B9OXQU9JOq68CTdgNU6KWquHVQKbUNvqOw\nrUxV5YrD/eANNAOqcveD7zFtCTMib11SLUtqtFPtNBmXpP461X+RTc5IvTgRxvcN8G7ZABWHpEL1\nwsXh4+tgbJMtkUgVaxi75Hee/IqQEZXqI1u2pvEvVJIkSY2cUEmSJDVyQiVJktTICZUkSVKjsYbS\niRQQI2E2Eg8mEct0s8AmIVVTk7nNNghR7rw4fHx0ClwMiev32LaBhMVJWUAKjpI+SOSQbKuRviNy\nHjIye4T1SeCWBORJWDn9Gw2EaefIeAn3ZYn8W5Hc2x5bL4HPvAMCwiPyuk7fEfmeyX0hb9707gDb\np6ANR1IBArlW8gsArmUnFFRsgndU2r6pim2ttLY2fHwGPGcT4PeK9EN+91IXzT18R3qiDaVLkiSN\nkRMqSZKkRk6oJEmSGjmhkiRJajTWUHqP1VF7fQASg03XS+KrdfYsOBG4M5cvDx8/dBVcDAkKroM2\nZCXiBAR361o4Tr7FJdCmPUDJoo1oxHRAzgNC0V2+Z1I4QMLKqZ+0k0AV+/ckWVk8XS84z4iMOfK2\nmwdtEhJcJ/cutSFBcLDifSy6IMF28IzcBKucr4f3ZTpexQLnZ1/NbdIq/6snch8EWeU/tCHlOT1W\nQa/KpRItu7P4FypJkqRGTqgkSZIaOaGSJElq5IRKkiSp0VhD6eTkqQ2JuJLzkFBcCquRNcXRyrNT\nIFx9O1zxrddyH5MkCAsCh/GTk5ArkYLr5JsmQVjSJo0GEo/sMeqqchif3H8SZgZh2XjvyHdEVvBP\n/ZAgfq9xmf5dSj4Puf979bom45JIAWwynsj3SJ61Dq68kdukgiISOL8Ewu9nwfv9+PHh4wfAzgfX\nUiFQVc2C34iw+wd5ElvC4t9NPy1/ZfIvVJIkSY2cUEmSJDVyQiVJktTICZUkSVIjJ1SSJEmNxlrl\nR2pfUiK/x2YYvXS7mahqIlTikOqMA2dymxH5VKnKjNRikq1C0n3Zy38f9Kg/7VVNRbbt+X6SthIh\nelVZku9xKhwnVaOk4pb0k56BdK1VbKsW8uZN3yN5Xjtc7w6oD7t0MbfZBGMhbfeSjlflbcWqqqbA\neFleHj4+Ad7tpOJ8HlSohup2Uu9JqvxIrWx6M5BNw3bjX6gkSZIaOaGSJElq5IRKkiSpkRMqSZKk\nRmMNpYO4W4yE9ohMk/NU5Ug0CdmnJfirqmoOBLSvXx0+ToKCJCA5u5bbjI6FBuRbIqHc1A8JIvfY\n1qQqh3LJeci/Z8hnSqM3bQFSxbYY6qHTBhI7YeyOQJg59VEFizLS90jGNtlihcRlUz89YrtUj+8a\nFFzcDNdLCnSuXc9ttsCvRDrXhQvtfVTlbWWqqmbCL99tUOQwP5fbTIFnLdw7MuJ6TVZSP249I0mS\nNEZOqCRJkho5oZIkSWrkhEqSJKnRWEPpxCgcJ2sdkw9JYrspEkqC7TU7CxqBee7CEjnbsOmwkm5V\n1avP5zYrIXw6fS+4GBJgPRCOk/AvWYX7EmhDSh16IHHNFK4mq1qT0UuuJQVqwSrct0BAOwaEQZh5\nA7RZXMxt9ofndT/4PCMynsjbLoWIewXOyb/Fw7gjRQGbHb5H1AcYlz1WOb8AVmRfPZTbHEjvwqqa\nCYUmZLX12+B9SX7TwirzZG1+UpJBRmXqp2VS5F+oJEmSGjmhkiRJauSESpIkqZETKkmSpEZjDaX3\nODlYU7zAGrgx7lxV9WKHPmoWrDyLVtlOZ0tx/ioUcr33vtzm1VdCHySITwK3KSBJvgFyLVdAm1QU\nQCKUBFjNOI5wEvkkRQEg3J6CxiQgvA3GQupnHQSIUSgXXMv+8KyRlaQnwH1JIeOqqlEK6/d6Fsn7\nJVwLCXmTUHQKlF8CRSbroCzpWtidoiqvcj4LvsPV1dyGrGA+EX5h0W8RkIoyquKq7KRUAjxFXfYb\ncKV0SZKkMXJCJUmS1MgJlSRJUiMnVJIkSY2cUEmSJDUaa5UfSfanOhzSB/mQpJ+1cPx9oA9UndEF\n2ZqGfGow5047y1w8l/s4AK5lMlXf/XDuA1XfkRGTqu/IVi69tq9J1Y3kewZVZuS+jEKbKfCZN9P2\nNVW1HaoSZ8h5wHeEKphCbRHZ1mQCVM0tgorPrVCJeXAl94HGZYctbEgF3xVQcXsmVBmTPshYiNsd\nVR4vq4dzHytg6xkyvlNV6Px87oNUPxLh3nX6JUI10akNqRTcjX+hkiRJauSESpIkqZETKkmSpEZO\nqCRJkhqNNZROpNgi2TCDxJCfA21ScO4I6KMOoA1qgBRiBdtq1CJoQ7ZhCXd4Fmz+c+F8bpMCzYsg\n2jhNttUAYc34bxGwxQR6/Ei4PY3w46CPF0Abcu/CfZkET+MUCcgHZIsbsvUMkYLgYduNqqqaBe+F\nhXvAxaRtq8h3SLYYAtHdVDhAtnI5/e3c5syZ4ePk/hMkxJ22czkCQukkcE5+R9L7khRcpO1roJ3N\n4bHQI0xe1ecvRGRO8b08vyRJ0g80J1SSJEmNnFBJkiQ1ckIlSZLUaN+dO2C1WkmSJO3Kv1BJkiQ1\nckIlSZLUyAmVJElSIydUkiRJjZxQSZIkNXJCJUmS1MgJlSRJUiMnVJIkSY2cUEmSJDVyQiVJktTI\nCZUkSVIjJ1SSJEmNnFBJkiQ1ckIlSZLUyAmVJElSIydUkiRJjZxQSZIkNXJCJUmS1MgJlSRJUiMn\nVJIkSY2cUEmSJDVyQiVJktTICZUkSVIjJ1SSJEmNnFBJkiQ1+r/AjDoRMBJW+QAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83e05b940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_as_image(faces[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To carry out PCA we will simply use sklearn.decomposition.PCA class for convenience. The mean face and principal components matrix are respectively available as the .mean_ and .components_ attributes of the resultant object. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=None, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = sklearn.decomposition.PCA()\n",
    "pca.fit(faces)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Decorrelating Variables\n",
    "\n",
    "The reason that PCA works as a dimensionality reducer is that it exploits correlations in our input features to use fewer numbers to represent nearly the same relationships between pixels. Consider points on a line $y = mx+b$ if we are lots of pairs of points $x$ and $y$ that follow such a relationship we can simply fit for the slope $m$ and offset $b$ of the data and store only either $x$ or $y$ and use the linear relationship between them to recover the other. We do not usually think of this sort of thing as a dimensionality reduction problem but this is exactly analogous to what we are doing in PCA.\n",
    "\n",
    "If we make a scatter plot of the intensities of two nearby pixels in our image space we would see that they are strongly correlated to each other. Even two very distant pixels will likely be correlated to each other by virtue of similar lighting conditions but the relationship will in general tend to be weaker. Lets look at the joint distributions of a few pixel pairs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_face = np.mean(faces, axis=0)\n",
    "\n",
    "def pixel_pair_scatter(row, col, row_delta, col_delta, bg_img=None):\n",
    "    if bg_img is None:\n",
    "        bg_img = mean_face\n",
    "    #find the columns of the pixels in the flattened array\n",
    "    x1 = row, col\n",
    "    x2 = (row+row_delta, col+col_delta)\n",
    "    pix1_idx = np.ravel_multi_index(x1, im_shape)\n",
    "    pix2_idx = np.ravel_multi_index(x2, im_shape)\n",
    "    \n",
    "    fig, axes = plt.subplots(1, 2)\n",
    "    view_as_image(mean_face, ax=axes[0])\n",
    "    \n",
    "    #plot the selected pixel locations over the mean face for context\n",
    "    axes[0].plot([col, col+row_delta], [row, row+col_delta], c=\"r\", marker=\"o\", linestyle=\"none\")\n",
    "    \n",
    "    #plot the intensities at each pixel location against each other\n",
    "    axes[1].scatter(faces[:, pix1_idx], faces[:, pix2_idx], alpha=0.4, s=60)\n",
    "    axes[1].set_xlabel(\"intensity at pixel {}\".format(x1))\n",
    "    axes[1].set_ylabel(\"intensity at pixel {}\".format(x2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yhof/hcrKi6ivvwuwgQ0UFz/BJz/5HjweD1/+8i9YvnwdnZ0uXK4IyeRraN2M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m+itnY2Bw8+w8aNjxKJRPu0ewA1NdVEozupqVkxoL1M+rBUurmXXjrArl33MX36UyxY0K+N6+7u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\nhmEYhmEYJYIZboZhGIZhGCXC/wcWU0mCGG3hKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83db36438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pixel_pair_scatter(30, 13, 3, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kwIEePJ71tLXZ+eY3f8i2batYs6aWj37UD8zUaLsXl8tFOp3GYnmDXbsOUFJi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\nWWf68SWqq00kElGmpn5GX5+ZSOQYTucd6HQmhJDIyzNjtRqprHQQi3W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3B2lq+iRWa2bG\nJ5mMn9dXTD1r5XbXYrMdJC+vHJ3OhMEwTjJZitP5MLHYYRTFjcVSQyKxg/z8YRRlD52dJ3A6B4jH\nq7jnniVzMlu9Xi91dfUcOPAmqZQHvd4KgCzHiUbfxumsJJnsxuO5/7xjk2sWMZfVyUyW7czv/Wg0\nSiCwHb+/Gr3ej883xsBAhLy8exHCgCRNYrHcR0vLEKtW1fHaay2AoKLiiyiKIBIJMjV1CBA4nZsJ\nBo8xMfESTucdGI3vABEslhK83naWLCnGaDReNmPhax0tcLuBOHHkBN9/5C/Z0pEJnp5oqOFrj/13\nlqxa+gG03cf3H3mMLR2np9su4WuPfYUlq6qveNsaGudDUZS3zrV9hZjREVyA74rG1SI7CcHv9yHL\nDhQlxcREPy7XZ6itLUany/yZjEaXsWiRi8cff5yXXz7Gvn1hrNalDA1tp6GhnoaGDRgMpjk6q2g0\nytGjRwFYuXIlBQUFZ81aNTTU09q6E6t1DaFQN07nb5FKRUilJhAiRSpVjM22Fb3+OWy25dhsB6mq\n8vEnf/JH58xsra1dSioV5PDhf8FsXo4QOoQYpqSklmjUwLp15RddZko9izif1Yn6PM3NhxkZGaen\nByYmRhgbOw7UAnoSiQAOhxmdzojdvoGurgN4PKDX24hG+2hufpOJCT/RqJ22th3YbFMUFKRoaAgy\nMfFLFOUkijJGMLiBJUsqqK+vuWzGwtcDWuB2qWTPJiVUGiK1p5sll34snWM/QEy1rdZA5dJZSciy\nzPcf+Qu+c7R9VmX18aNtfPORP+E77z4z/S1IvTqkFiSpvc/UGrFQVjvqn89om2Q5zfcf+QHfOTqk\narufbz7yH3zn3b9Szbzpz3n83OtSj4U6q0s9JtnH5NIO5rou/9xTRVXaPfV9zPbqm206a5VN/SwY\n1Hq3C/HKm0/jpr5+Kcf2nI5l/ZzLk089lqr+JlVjFFOPHRBRvZbjWc81XNcqQgg7sBQoA4aA44qi\nBOc/Kue5JDI3rxr4e2AYeOry9FTjgyQazdQnlSQjOp0emy1TDD6RGGdgYIxTpwpxuTJVDQoKlpBO\nx2lt3Tnrp2YwmEgmi/nbv/0f7NkziSw3AiBJv+GBB5r4xje+PGfWymIpwe3upKPjF+TnNxKPjxGN\nDmE0WtHpbKTTR4lEbEiSF4Phx9xzz8Pk5y/D6/WeFbh5PB70+t1s2vRZSku7OX78BLKcj9m8DEkK\nUlHhZdu2R2Zn1GKxzO8Cs9mMx+OhufnwnKVjyD2LOF/pqpkl6I0b/5rR0ceZmJBRlGXEYl6EOEph\nYQV6/QTx+EHS6UKiUQgGx4lEwgwP7ycc9uB0fhG9/hCx2FGmpmqYmuokkdjJ6tWlfOYzq6a1c51I\nUoLBwa73bSx8PaEFbjcIR460saWj96w/75s7+jhypI3Vq6+cMeGRI4Ns6Rg/R9ujHDkywOrVVVes\nbQ2NS0EI8dfAH5PxCZ7JmgkKIf5RUZRvX8Ip9wOrp7c7ga2Koky8/55qXCmyhfYOhxNJOkU6rUNR\nUkiSH4slU580nU6iKJOMjAjs9hp0ujNfqnQ6Ey7XVk6efGrWT+3AgaNMTCRpaPg2RmPGijqRCPHM\nMz9Gkh7jD//wq1mzVvX4fB/iRz/qpKcnxfHjOmy21ZjNxShKgkRijFDoJRobq1m69A76+3ec85rO\nzOa9SWNjZjbP7/eRSsUJBge577472b//KLt2naS7O0Bf3ySQT1VVIRUVaYaGBliz5v+ZY4WSPYt4\nvtms7CXoDRvWsX9/B4qyHL+/hnT6Rfz+Q0SjXoQI4/NtR6eL4fefJh5PAVuwWj9DMHgIvz9Ifv5X\nsVohHD6I2z1JUVGKqqpS7rjjtqwl3fdnLHw9oQVuGhoaNxVCiEeB/wr8kIw+bRQoBh4CHhVC6BVF\n+dZFnvbzgJ3MWtCfAK8LIW5XFKX/XG/+1rfOnH7Lli1s2bLlIpvTeL9YLBbWr69k+/afUlq6Abe7\nhoaGBRw7Nko0upuami+g0xlJp5N4ve14PHkMDekwGLooL7+djo4TpNNJdDoDOp0JRfHg9w9jNLro\n6DjGmjX/ezZoAzAabVRW/g7bt/8VX/rS1OyyqceTyYI0m80YjaeJRGopKyuku3sf8Xgdme8V49OG\nvCWEw755dVy5NGj3399AOp3m9dcDRCI1TExEKS/fCkhMTLSj0wU5dSpBUVHG0HemaL3DkTnHxAQ0\nNzezYcOGnAFSNBqlubmZiQkoKsqsADQ0bCCV2s3LLz+DTqcnEIiTTjei19dhtd5OMhkgHP4JTmc1\ng4NHCIensFjiBIOdmEwPoSgSsdgAFosNnc5AQYGHXbt2zgaR12r26K5du9i1a9cVObcWuN0grFq1\niCcaqvm4aqlUBt5qqGLbqkVXuO1ynmgo4uOqpdJM28VsW1VxRdvW0LgEvgL8k6Iof6radwJ4Qwjh\nB74KfOtiTqgoysnpzYNCiFeAXuAvgN8/1/vVgZvG+yMajdLd3c3o6CjFxcXU1taed+ZlRsu1d28v\n4TDs3PkCEKSiooDiYi/xeDdTU79GksKYTEmWLCnGZnPQ3v4bNmy4BZvNQUPDAlpb23G5mtDpMhmc\nyWSclpaf43BUYbEUndWu0WgjnW7k6NGjbNmyZVZPlkyW0N8/xMGD+5icbGfBgq9gtZpJpYZxOOqR\nZT/l5XcDPtrbn+XBBxflvMZcGjSAv//7pyku/jg7d27H5XpodubQ5Wqiv/8NrNZ17NnzMq2tLShK\nKdHoOH7/uxiNBRgMpSjKGG+99fRZmbNqbdz4uJn33ovS1/f0rPZv6dLNpFJWXnjhVxQUrCcWiwBV\neL3dpNNp7Pat9PQ8h9W6ikhkkGDwJRIJPfF4P/G4D5PJRjxupr9/kL4+HSUlJde85Uf2F7JHH330\nsp1bC9wuBrV27SyfK5W+SK0PUlTbc2paqis5qn29YK5OK5d/19yFSUmCrz32N3zzkb9hc0fmS/6u\n+kq+/thfIc3W1sxVK1XdL7W2KVtXdu73SVKarz32Cb75yC/Z3DEx3babrz/2KSRJrYtT9zmXzsuu\n2p7rXD4XtZ5LrTlTn1fdX5XTuTdrBcvnUx2uOl59T/Wqj0rePH8UbKpr1Kl969QfNbU/23yZt+p7\ndCG6tvlqlUZzbKvuT0i1HcnWuKl+jpxbC3cdadwcwKs5XnsF+L33c3JFUfxCiFPAwvdzHo35CYfD\nPPvs8/zqV+8wPp6PEJUIcYjq6hgPP3wHd9xxe87M9jM2IJ+joiKTUToyMkBz88+w2cZZu/ZTdHW1\nMzLyQ2prb8FkCpBMDlBfP0Z19SrgjPnsyZMHSSYtRCK7SSQqWLNGpr+/8rz9V1uRdHUNMDFRRm3t\nRwgEfkY0+mus1rV4vSfx+X5DefkG9PpaQqF32Lix+oJ0XNmzUV1dXaTTHiKRSRTFk7Xca8BoLGF0\ntA2fzwFYCYcnCQYVQqEmFCVAcXGQurovEAr5ePrpt0kkEtx77x1nXUtRkaC//xB5ectpbX17Vvvn\ndufhdNYxNTWK0biARCJJXp4Tl8uGw2EnEBjB7+9HUUKUlpYQifSSSEBBwXKE0JNIjGK12hkY0JFI\nDAH15x2DGxUtcLuBWLKqie+8+zOOHMl8+f/uqsazciiuXNtlfOfd/8yRI8PTbXuQpPkCLw2Nq8Z+\nYA3w+jleWzP9+iUjhCgGmoCfvJ/zaJybmdmdH/94J4cPB4lEGrFal1FSUo7bXcno6HF++MN3kSTd\nOS05sjVYsizT3d3P3r3tjI2tQ4i3SSa9LFp0J5s2LaKj4zkWLw7wyU9+flq8/+ash1ljYx3l5Qto\nb/8NmzYt5xOf+CjRaJTt2/+WRCI0Z6kUMjo3ne4kjY0f4z/+47XZmp8dHWO4XGsAQWHh/cjy29TU\n1FBTU0sy+RYbNnwIISTicRef/ORvXTGrJSH0xGITjI+7cDo/STJ5HKt1NfH4BGNjP+Ppp3+K272J\ndHoxf/d3T6AoCps2rZsznsD0bGQPdvsm2tt/QTJp59ixY0xNncbpbGBwMEpBQRGFhQVIUiYM0ekM\nVFSsoLNzP5HICRKJcSyWTyOEnnh8EpNpAI+nDJermIGBJ3C5tl2RMbge0AK3GwxJkli9Wr00eiHV\nFi5n2+UfWHsaGpfIfwGeE0KkgGc4o3H7DPAI8MB0ligAiqLk/BAJIX4FHAbeI1NapBH4Jpm07X++\nUhdwM7NrVzMvvTTB6Og6hBjE7f48IDEy0o4QA7jdy/H5grz22olziumzbUA6OrppaQkRCtVTWFhH\nNCrQ6cppbe1FiHaWL/88nZ2ZBOFc+rEHHzzjYWaxWHjggSaeeebHVFb+zpzkhP7+H/PZzy4mFovN\n9mF8PFMVYGa5taTETU+PFdDhdDYxMdHN1FQb8fgQ27adXR7qQplJxsjLW4sQu0mn47Ozbul0kkTi\nNC5XCePjr2EyfZpgsI9EQocQfkymJMnkvfh871BVVU4yGScSWcMvf3mSycmJs2q7zsxGtrYeoatr\nkN7edkpLy6mokHE6b2F09DjRKIRCEex2O7IcR4hhyso+RjCYj92+F0VJ4Pf/GwbDavLz09TWVlNY\n6MHne5OKippzZtXeLGiBm4aGxs3Ge9P///30PzUCOK76WWH+35PNZAK+PyKz5j8AvAn8fa7EBI1L\nZ2a2LD9/K/F4C1AxO7Ofl9fE6OhB3O4KhCjC5zt9Xh3UjOmuydQExFSzPyby889kiqrLKJ3Pwwzg\nG9/4MpL0GNu3/xXpdOP03hNs3VrKffd9ataG41wUF7sJhQyEw+8xPj7IyMhe/i97bx7exnXe+38O\nQILgvoiLTK2kTEoWbVnyJnmRJUe2leYm3tPGdRo7SdOkSe/tktvc9rZp7DRpb2/6dLsPT7SJAAAg\nAElEQVRtkl/T7HUdp3HsOLFry5tkRZZsKZbkhZIokbQkitq4byAAAuf3BwDyzBADAlwEQng/z8NH\ng5kzc94zAKkXZ77n+3Z1hVi1qpFdu9rxeDxTVmaIx8SK09eor19GS8tLlJdHFif09h5m6dJiDh78\nBZWVy1m8OI/h4TDgobi4lLNnB/F4FjEyUsxbbz2Px9OEzzeAy9VLT887NDT82qT+tNaEQmMMDg5T\nW1tEMDhIaaliYGAnhYXV+P2n6e+voqAgB59vOwsXLmdoaA9r117KAw808tOfnqWvL8S5c78iP/8y\n3O52hoZ20dTUiNe7clJ/2YQkbqlgantGbPUuzfqNphbO1LtZPN1M7VeiAsamfsv84p+sl5epkTNF\nSE51PB08vhK1Cxrb5n2w/2Ex9WOmF5jZrsh4tJDrNU429WJ2jHukjT7Me2/q2LpsGrcBw8fNrE/q\nMvo0i0wXWR9/WMZiUmC8F7lO75f9XPM/gGS825xq4YL1/R6Nvz1s2JYZdUcnfb4tn/2J++ofmRij\nXfY5j/kyziWvUkJr/TXga7NxLWFqYrNlHs9kGYbLlYvWpfh8fXHOnMC0Aenv7yccLsXjifxXGJv5\nyc/faFkpameq1Yw5OTn84R/+Dg8+2MObb77JwYOHOHNmNUpdyg9/eJxw+D1OnjxDTc1Gw4YkGK1D\nGqSycpSlS9fy1luD1NfXcMcdD1FUVJpUZYZExGYMX3nlMJWVgxw/vhsoZunScoLBVkZH2wgENvHe\ne8eBk4yNjREILCEcziMY7CYQ0JSXr8HrrQP2Ul19PydOfAfYwbJlt1lmMZubfbjdK3G5nmZ0dAWj\no4vx+VrxeHYRDI7i8dzE4OBpurt91NTUkp9fzKWX1lNaWsz69evZs+dp1q79KFqHjRWuG1HKxblz\nj1Fbuynl8V8sSOImCEJWMQ2rD2GeUVpaRkGBl+7uNsJhv0VPGwqNofV5ysoGqa2tnXSuWbkgP/+K\n6L4CoIPh4V+xaFEjOTkTX6BmUkapoqIClyuf8+dXsHz5FoupbXv7P/Paaz/kppseHF+hWlJSx8DA\nqzQ21nH0aB/5+QOsWXMtRUWlQOqeanbsK05jM3/797/LgQPXU17+mzz3XBte780opRga+gldXT8l\nELgeCJGXF8TjWcjw8EssWtRIXl4ZZWW3AN+jvf056ureP67ZKylZw6FD3yYcLqag4EFcrjwKCoL4\nfLuorj7A2NhxFi1axzXX1FBTs4iCggWcPfsat9yyioqKCkt1iaqqFeP3LVuqIyRCEjdBEAQhI4jN\nlimlueyyJXR1dTA8vI3CwtsBF1r3MDIyRHV1C7fddrnjf+6xmacXXniOwcFewuHjFBUdJhSqZsGC\n2wEIhfxofYLBwWE++MFIopCohmc87AshYuTm5nHDDZ9l376/5tSpH+D1LqGy8hQnT36bJUvqCAar\nGBo6xHXX/RoNDdYVpLm5eYyOLmD37t0sW7bMMY5EsZozhj6fjx//eC91dXfidudy7lwfb775Cl5v\nEwUF1xMMfhO3ewS/f5Di4hICgadYtKiR6uoNhEJBcnN9NDZuYc0aPy0tj3H+vJe+vl7C4XfJzz9H\nRcX9xBwRXK5clKpi0aJ7OH/+O7hcOygoeD8+3yiBwE5L5YOpaqJmM5K4CYIgCBmBOVtWV3cLsIHX\nXnuF8+f/Dr8/THn5MIsXe3nwwfcl/M89NvN05ZWrWLDg39m37yCbN3+M8+dHOXLkVwSD+QwO7qKh\n4Rwf/OBqNm68jpdf3pWwhmc87AshTPLy8lmy5Cbuv38RXq8XaKC8/G56e3s5fvw4JSXFrFhhfRwa\nDodpadnN3r1vMDjYREXFmCUOv99PR0cHr7++n4MHuxgejoj3y8oGufXW1XFjtce4ZctNVFU18+ab\nB9C6jJKSxRQV7ef48VwaG/+A4uI6cnLyx42Jm5pqyM0dYsOGJu65p5bdu3ej1ChVVdeyd+8ySkqq\nOX36DAUFC3G5cgiHxxgZGSAYzOfjH7+K226LLKazawWTqYmarUjiJgiCIMxb7DNHEzMxj1NQUMvm\nzbUMDPRy6aVF3HbbHVx66dQrL03D2GCwEbf7FM8++zWWLl1OU1M9Pt8x1q9fwl13fRyXy8WPfvRT\ndu4MsmrVvRQWFgPONTzNeBMtQojh9XotermKigpqa2vZsePx8XJcMVpadvP2290UFW1h9eob8Hg8\nBIN+nnvuBQ4c+Bb9/XkcPdrLgQOjBAJLWLCgkgULFqJ1F+3t7wKa973vpoT3paWljRMnBigtXYbf\nP8zwcA/33nsjr712iq6ucwwMROShLlc/TU01LF9eS1fXzvGk6vrrr2fHjhPEdMk1NZUo1cWZM+0M\nDJxncPAIo6MLyc+Ht98+R2PjmfGks7W1dfx9BlKa3cwmJHFLBfOX0O426rQgwVJw3skE1TSKBasQ\n3VxskOPQxiTZQuNm/yMO2/Y/OsY5IWP8ppB9wCjgbhftmwJ3s1C7qWo3jW49hlFtHDFyXMzFEWb/\npvC+zyZeNo1nnWIxFySEbffYfG0uaLBsm8a8lpOt17Jo5s0FGbnEx1x8Yl/o4It/zGcuSHAw4B2y\n1Vo332OjXaJfCUGYCWZyFW+WyzoTsyWl/9hNw9jc3DyWL4fh4UEOH36aNWv83HPP75KXl8f27bt5\n8cV32bnzJAUF93Dq1Ns0NlbT2Fg/SW8Wa2/GGw4fp6PjBDU1G8nLs8aXSDtnzizGPOMCAR+HDx9C\nqXWsXl2GJ7pgKvLotI4nntjNHXf8Hm1tj6H1r1NWtoihoaOUlORTWXkj3d3FfP/7z3D99Vdb7pW5\nWKO19STNzT7Ky6/F7c4lFPLT39/MsWMLWLcuRGdnP8XFK8jJyaO0tAGl9CTNWSz2Z545gtbdhMNB\namqqCQa76OsbZNWqm1m8eCEjI2e59NK7eP75X44nnaFQLeFwmJMnH0WpIEuW3IhSrqRmN7MJSdwE\nQRCEeYc9uYLJs1zTKXnkpDsrLCxmzZr7aGl5DJ/PxxNP/JydOweprLyWkpLllJevIxQK0tx8GKXa\nWblyBbm5eeNWIcePn4kbb3v793nttW9w002fs+yfSmRv13j19nYyONjDddeV0dBQN94uEAjQ1tZP\ncfGNdHS8RXd3KWVly3C5ciwWKQsWrKGt7SXa2tpoamoaPz+WaD377HMcOlRKefmN40lbb+9LNDWt\npr7+as6efZRbby1h9+6X8Plq8fmcNWex2M+ff5Njx75FYeF6Tp1qo7FxI1VV5fT1vUJTUyOFhWX4\nfIU88UQv9933OQoLizl8+Bhnz1ah9SmqqkpYufKGGa+mvdiQxE0QhKxCKfUXwL9prSf5PCilLgE+\npbX+8oWPTIiRSNSf7KpKJ3F+It2Z251La2sff/Zn/8Y770Bh4eW0tLzAyMgCiouDjI76yM1dRHPz\nu9TVLRmf9RodHU2wCOG32Lfva5w69X1cruXRfqYW2ds1XseP51BcXEl9vTVZ7e/vixr4DjE8PEQ4\n7B33ozMtUoqKqtG6mLNnz1JfXz/p8fPp00/w+usv4XJFps6V6qSpqZGGhoixcDi8mIaGpWzatGFK\nzVks9uuuu5KnnnqW55//BcPD1Xi97zA0NHHdQMBHW9txioq2MjLiIzc3j5aWcyxYcC1w+biPnseT\nP6PVtBcbkrgJgpBtfIlITdLJBl1QGz0uiVsaSZRcmbNc8WbcpnrEmoiWlt20teVwzTXvo7jYTUVF\nE6OjGzhy5CucO7eDwsLVAPj9I7zxxhssX15Of/8BRkcXTLEIYYOxCCE1kX1sBahd9xYI+Ojv76S7\nu5tAIITX28kll1yPUj8bt0gJhwP4/f0MDbnxePJRqoP33itmx47HJ92b665by1tveSkpidzT0tKN\neDyTY5zKw86ksLCQBx74MGvXrubrX99Lbe0Ky3X7+zsZG6vG7x+ju7uHYHDMUkUi5qNXVbViyvc9\nm5DELRVMQY9p1Go/5lSQ22Iua+qP7L/sTs/w3Q7bIXtDh2NOxeSdtu2aKeO1qesyt01dWU+P9XTT\n6NbUAZr3K2zEa+racizCsMk6s3j9jxnbptZwxKYpHHUwDfYa/Zv9eRP8wTWPmde1aPeM9m77e+dU\nWN5J42ZiKwyvzfEbx4aM8Q8MOuw33qtJ7Sa2zY99MHMMeBO5OZdjfROEDGOqR6wbNqwb13SZiVZM\nQ1ZaejkVFZVALwB9fWPk5GxgcHAvFRXrcbsLGRx8iVdeOUZJiZd166r53vdeord3AYsXhx01WPZF\nCKkSe6T5/PMv4PMV0tZ2HK1rCQT8HDnyM669dh01NcuorCylv/95wuEVDA72MDY2gtvtob39nykv\nf4d3372G+voPTLo3mzcH8Hq7KStbPCkBnYmXHUB9fT2VlXst1w6Hw7S2vsfRox24XEHy8pYTCLzN\nyEgh5eVhjKpzgg25M4IgXPQopTYrpb6slIrNpH069tr4+RrwT8C7aQxVICaY7yQYnJxDTyQRk811\nJx6xbnF4xNoCwKZNDZw8+ZLl+l1d7fT1+Vm9egmVlZW4XP0EAqOcOzdIdfVdFBUVMDT0Lc6e/XsG\nBo5SVHQTJSWrWb/+o9TX/w7t7W0cOnQ4pXhTZf36tbjdB9m1aweBwOVovYi8vAVce+1HOHVqjNbW\nPVx//S2Ew7+iu/uH+P2tFBb24nYfpKSkCp+vibGx8rj3Zvfu42zYsHTSfYnp8TZvnr7pbSzpNK/d\n0tLG8eNetG5n6dIGqqqupKpqI11dXZw5c4ZQKFLForS0djyO2bqPmY7MuAmCkA1sAv48uq2Bj8dp\nEwCaiRShF9JIvFWVMLWoP9lHrPHMXfv7D1Bfv4CGhjpcLheNjdXs23eQUOgS3G4PRUWXUVtbxOHD\nP2LVqo+wfPk19PcfZWCgn6qqaq6++lb27Xua5cuXWCxDIknPshlZW8Qe/0ZWuI5SUXEHwWA3ixcv\nYN26q8nNzeXQoVoOHPhX1q27AY+nl5KStRQXuykrK6WgoIZLLinm1KmraG19i4YGn+UxaOzeXHrp\nErze87NmemvqDNevX4tSB9m+/TH8/kr27m2muLiCq69ezsBAG6HQCjyeApYtW0V7+z4gxNq1jXg8\n+eMrfm++uTDlGC5GJHETBOGiR2v9CPAIgFIqDGzQWr+R3qiERMylc348c9fy8mv4x398mlAoiMuV\nR2NjPf39fZw+vZ+hoW4CgZ34/V5qa6+kvn7DpEd5q1dvoqfnLdrbv0VJyeXRfjqorg7y2mu5/PKX\nwegYnK0tnBZUxB7/er03UVLSQXn5tYRCQTo7D1Ne3sHKlStoalpNfv6tXH55H4HADTQ0fIiRqCyk\ntLSM/v4+zpw5b9GNJXNfpmN6m0hn+IUvfJjXX3+dwcFqLrvsN8jJyePo0T0cOfIYWteSlxemsPBZ\nSku9eDy38+qr3+bkybdZsqSO5uaVtLQ8nvXWIJK4pYDf0PPkjdr0ROZr00vM1A0VGD5Z5abQKdHb\nYAqHzG+RyRYtT6aAvDkWU3NllwIZOjPzFybHYf+YLRbTG8zUUJnbTgXb7Zo2+7Wd2sXZHxq1irFM\n67Y8s659uHhi29Tb2TVypt+cGZfFU854v80YPQ7xgvVeJvMHyl7l3aIjNH3YHLRsTttg8W4zC8ub\n3m3+qb1G5wVa6+z8a59hTCeJMD3JktFp2YX29lm+devW0NHRx9DQ26xatYbFi1ezb98plHJFE7x+\nSksbxuNdvvwyyyKElpYcduwYnTRraLe2SJTorF+/dnzFal9fx3isbncu5eWrOHJk7/gK15wcD7W1\ntVRUjFFYWEhh4cQMVayY/Zj970Sce5PKAoR4JNYZHmTZsmWUl4+Nz/qtXHkDdXXrxovJDwz8Nz72\nsXr273+Xnh64666HKSwsc7x/2Yb8ARMEIWtRSlUrpZbaf9Id18WMz+ejtbWV1tZWfD7flO1jScSK\nFSsck7bYNTs7O2ek09q8+Xq2bi3j3LnHOHFiG2fObKem5jWWLu1i7doPUlVVj1KdBAJDdHW9Q3W1\nh/7+PgKBwHjyU19fP74KdM+eEwn1drHxxxKd6ur7Wbr0dpYuvZ3q6vvZtq2fp556dvzxb2lpLUp1\nEgpFxuZ25xIOl9Lf3zfe/9q1a+PqAz0eD/X1pQwO7qKgYEHK9yZZ4ukMA4EA5893MzKymB//+Jd4\nvd7xGCPHztHfP0hp6RLKyhbj9XZzySWXcPToCGvWfHQ8aXO6f9mGzLgJgpBVqMgzrq8AnwbKHJq5\nHfYL02Qqm46pHnvFe4xov2Yw6Gd4+F1KSkKcOtWRkm8axJ/lW7jwRt544yDbt0csNEpLezl48CsU\nFKwnJ6ch+vixmbKyFj71qdVJ+cWZeruIzYezZ90vf/mPhMNl5Oe3UlpaS2NjA83NL1FevgW3O9J+\nbGxC+1dRUeGoD/R627nvvmX09T1Fd7f18fN1111pKTk13SQuNm6tFWfPnqWt7QTvvnuS3l43WpcS\nCIxw+vTXuPHGBnbu/C79/atQqgrAch97e3unbQlzsSOJmyAI2cYfAJ8D/oZIAvdVIrXHHoj++3/S\nF9rFSzKVEOKRKOHTOswLLwyyaNFv0N7+Ji0tnYyNrWFgoJ3lyzv4wAfKWL9+HYsXJ37EGi8pNBMC\nM5nbtauHYDDI0FA3SsUeRZ4AhtB68rWnwinBi9hlnOStt8L4/a0cP76YnJydNDSs4LLLSjh69DHG\nxqoZHn4Hv7+crVubxhNTuz4wGPQzMnKI9euXc/fdD+ByuSyJ6euvH+CrX32U/v6IpKO0NMCttzZN\nS0cWDod5772THDiwj/Pnw5w82UcgAJWVKyktbWRoyEdXV4Bnn30LpbrxenNQKqa5mP59zCYkcUsB\n07Mqb1KtUuOgxTPMrONp6IZMXVix/RfD1D0VGNsOui5Le7t+wRQeBeLvN+uOmr+kyu4dZnxczPkI\nj1nfM8FEhVmf1LxHhn5Kj0zEZbGHs91u87XZzrRLM6Uc5rDsMjiLXM8cotMfLLuHn4l5cbOdJeCc\n+O3Beo+c9HqOcSXQuDncb8f6pEM2HZ+Dd5v58fZliMaNyIrSLwP/QCRxe1Jr/aZS6ivANkAelc4y\nM6mE4JTwPfPMs5w//w7r13+B1tZ9NDf3U15+P253HuXlQXp7d3HgQD+LFp2noaEhblypzALm5+dT\nW1tLa+somzb9PlqHxzVZpaUbUcrFq68+xg03XD3eNhm9XSyBstPS0kZzs4/i4jWsXJlHZ2c1BQU3\nc+jQqzQ1lbFly10cPvwEGzcu5957P2S5d2blgieffIbXX++gsHA1hw97+L//9z8t43vxxZ18+9tv\n0N9filKRe6D1Cdrb96C1ZssW56L08Th27CTt7W0sXHgfw8NngRoKC5fQ338UrQ/j8ZylpuZDHDw4\nyIoV1dx66z34fL2T7uO6davHH6fOtq9cpiMaN0EQso16YJ/WOkTkm04+gNY6SCSZ+0QaY7soSfax\noZ1EvmzFxStpb8/D7x+lpeWo5dGh252LUlUUF1+VUAuVSFu2Y8eeGY0jnncZTNaUxfOsCwQCtLSc\no6Skjpycc6xdu4GmpgJGRt5C60t4443/4vz5H/ORj1zGb/7mfZakzdQQvvrq67zzThGrVn2O+voP\nThqfz+fjBz/YRldXA6Wlv0V5+e2Ul99Oaelv0dXVwA9+sC0lHVlPTw/PPnuASy+9mjNnnmN0dAyl\nCnG5vHg8dfT0PE1l5TJCoRCwGL+/Gp+vl6qqFVRVrcDjyR+/j729vUndv2xEZtwEQcg2+oHYM65O\nYCWwK/o6B6hIR1DCZKZKlLQupqPjCFrXjidtJjk5efh88bVQqc4C+nw+jh8/Tk9PBwMDL9PWdgKt\nIzNUSu2ksbGB/HzrLHkylibxPOsiiw3yGRh4lcbGOgYHh6moKGbLloWMjAxz6lQTDzxwhaVYvH32\ncGwswGuvvcjatXeOl5Cyj6+kJI/2dli8eKvl/rndeVRWbqWtbe+kovTxiPX95JO72L+/mOLiBoaH\nX2FwcD/h8OVANdBJYWE+xcWLLecGg6OcPx/R1pWW1lr85ebSEiaTkcRNEIRsYz+wGngWeB54RCnl\nIzL79lXgzTTGdlGSqk1HMkyssLx80jHTqsNpwijZ2bO6urrxhMjvr2TnzjcZGTnLsmV3cMkll0Wt\nQfy8/fbz1Nbuo7Z20/h1krU0sScoPT09DA+/zSWXrKW1tYRjx85Hr3eMxsZqysrKxi1HYtgfKZ8/\nf478/EW0tJwmN3cPK1dOaAhj4zt06JAl6R0b8+HzxWYMa9G6lrNnz06ZuMX6XrDgg5SWdlBefgXF\nxQ309T3D2Fg35eVL8Xo34vPtRCkXHk8RWp9gaKiZ11/vwuVaBkQS4Pr6ZZSVdVBbu3HWfOUuNiRx\nS4FBQw5UOmoT9JgaJou2yPijMNA/sW1qwXJsb4PlM2nqlkzvN/Mpt/ktzyYGc9KyBRzKMeYYurZc\nu8bN1K8Zx/IMLZdZqzNRTU8HnZYp0/In8AgzpVmmFMxJ/uW2aNesx8y/f5bzXSr+AZfN386pU4tI\nz+F+2/c71YBNZpB27Z35mbT4uBlaNtOTztLGuMFAcDQct5n5a5ApPm5EHofWR7e/BFwFPBp9fRz4\nvXQEdTEz3UoIiRI+pVzU1QGcRusBQiE/bnceoVCQ3t7DNDXVoJSesRbKTIi0DlNY2EIw+EFOn/bh\ndrdTU7MCcKHUIuCA4/gTrX60Jyijo4v4ylfepbu7ngUL1ozPmIVCQd555y0uueQNS4LoNHvodnso\nLd3CkSOPUVe3blLR+AULFqBUJ2Njfrq69nH27NHxWUTYjlLvUlWVWONm9q11GKXeIBTy4/F4qa+/\nnsOHtxEMjuDxhFCqE49nA319hygufo2RkYUUF9+PxxOp4x0IDPHGG9/lN34jz/J5mKmv3MWGJG6C\nIGQVWusXjO0zSqnrgBVEVgIdimrdhFlmOo+9pkr4HnxwKy6Xi+9+9784duxbFBffSG6uj6amGpYv\nr512UhibBSwvv4Yf/GCnMYvVSnn5agoKiuno8HH06D607sPr9XPFFTXk5V03/ljWqQqC0/7YeGPn\n5uaC1qcAc0YxHN1nXYgUb/YwZrgLrknVEmLjW7/+DpYv30tz86P4fFUUFt6Py5VHODzG4GAbOTmt\nnDrVxRVXOL+v9r5Nu5JLLlnI8PAKRkff4ezZH1Nerjlz5pssXTpITc1Cyso+THv7WwwNlQKgdQ+r\nVl1Na+tuenp6qKgQ1UI8JHETBCGr0Vpr4Fi647jYme5jr6kSPpfLxXXXXclTTz3L66+/QkFBIzk5\nQ3R17ZxRUrh1a+MkL7FwOExPTy8+3wi5uQvw+xcwNHSC1asvo6Ghjo6OVsLhMC+/vGvSStWbb16B\n1rBzZ+uUK1g7OztZsuRGqqpKxktBASjVyZo1jXi9N0zpYebxeGhsrKa5+TBmomeOr6Kigvvvv4Ev\nfOFnwO/g83VHWw1SXHyW669/gN2797Jpky/px5ONjZH3KxZ3bm4rV101yHXXXcGSJTWUl5dz7tw5\nfv7zflaubGDlSujt7aW9/SSnT2vOnSvl2LECvvSlf+Puu2/M6tJWTkjiJgiCIFwwUn3slUzCV1hY\nyAMPfJh77vHNalLY3t5uaX/+vJ+urhOUld1Bfn4hLlc/VVWraWnpRqnDlJV1cuxYrMyV1b7km9/8\nNj7fea699hNUVdXg8XgS+tgp5ZpUCqq0dCMeTz4nTmyztHWaPWxsrCcUOsyBA9sYGAjh87VOmuVs\naFjG2rVr6e7uwxf19MnPH2X16kXRZPRUwiTR3rfLNRF3V1c73d0HeOSR36asrIzt23fz9NNv09UF\nb73l48SJfTQ2VqO1prMzj/LyK6Mrgk+xYMFitm17L6tLWzkhiZsgCIIw70km4ZvtpNBMSrRWtLUN\nsGzZBs6c2UF+/s0o1U9RUQOhUAn79v0zX/jC2miZq/sts3RHjrSzf38JWvcTDJ4jN/ckjY3VNDbW\nx13Bavbr8eRbCsI71VyNN3sYCgXJz3+PP/3TO2loWDppfLF7sHz5EjZsWE9/fx8Qeczq8Zia6sT3\nPF7fSrkYHX2Pe+65iYqKCl5+ede4VrCqKszx449TULCGd945xuDgcZYv/wBudy6hkB+lOqms3IhS\nKxJ6/GUrkrilQNDQeptGsQDKLI5ump2a2+Z0r1m03L44wcRraBmU2c5cKGCI0oM2hbi5UMLJ3NVc\nKOGZvMIqPmYsxkIFr3F+gWkebHttCuSNPnM9E/GbCxXi1EWOe8zpVrpMbb+tjeMsvHm/zAUJ9k6S\nMcS1OAAn8EUyFxikulBhzCbNMj+TlkUIDsa8lm1rjE6mu+Z+u0myIGQKTgmfmZTk519BOFzKJZdc\nRjj8Mm1tf0FFxVJ6e3vIyemiri6foqLcSVqzlpY2DhzoIi/vSpSqxusto6BgKc3Nh1GqnZUrV0wq\n3zSdxRzJPFKORyxJVEpTVVVtORYM+gmHjzM6uojW1lbHUlhT9R1v8UREC/cqOTnr6Oo6zvLlmlDI\nT2/vSzQ1NY4vpMjm0lZOSOImCIIgCA7EkpInn/xP+vu9dHfvoafnbWpqFlFQUILf30xj4zUUFwdQ\nyrriPGakW1paT29v73gpJ7c7l/LyVRw5spe6uiUJ+012MUds9vDKK1dx4EBkdevatXdMKfB3ShL9\nfh+vvfZDPJ4OHnvsVLT/+Jq8qWYu4y2eiGnh9u9/gtHRAU6f9lFUNEpTUyMNDdnr0ZYMkrgJgpBV\nKKVUdEGCIExJLClpbFzGQw/9b3p61rFmzZ+Tn18JQCjk59ChiIfb2rV/wI4dT4/rvfr7+wiHSykt\nrUTrFuAE+fmRR5xudy7hcCnd3WfjWpakspjD5/PR0dHB66/vp7m5D5drOQA7djwdN9GyEy9JPHFi\nD1DENdf8KXl5kT6nqi2byqPqmBZu0aIm/uM//oo1a8pobNxksSzJ9tJWTkjiJsJg5IUAACAASURB\nVAhCtnFcKfUt4Nta6/iFIgUhSqwqwIsvvsuZM/kMD1+G39/NwoVhamoqMT3c7LNXE2jy81uAIZSa\nSKBCoQCdna/ykY84l29KlAyZ1RJaW0O0tY1SVpbHqlWFNDZeTygUTJhoxZjsIzfKo48uZNGiB1Ou\nLRuPRNYreXleVq8uJDfXZ7k3U3n8ZTOSuKWAqecZHrEeKzI1QaaeyGPov8xvPKZQyC4CdRmaM4sW\nzeFaYw76OkgsDhu/boLC8NbAkriW8ZGyj6sgP/4xU/tmGNJ6w/H1bmCTCyahoU3U3jTgVTlmQ+N+\nm+Oyf3N1KizvCsZvk6jifTgJjZsTdgNey2fSF3+/w7YetQrWnLx5nfRu85yXgT8BvqiU+gXwTa31\ntinOEbKUmAGv13sTixcvZWzsUk6f7qS9vZPBwVyqqlwWDzdz9srvr2RwsBmo4KabVqMUtLREbDJC\noTFGR7dx9913Trt8Uyy2mpp76et7m2XLrgXCNDdHkrWVK29IKdGKJYmtra24XMunrCqR7OzaVJq9\nhx56H0q5pLRVkkjiJghCVqG1fkgp9fvAg8DvAM8ppdqBfwW+o7U+n9YAM5BEprKZHIspqu/r68Dl\nclFTs4LKyiUMDXUxNPQ2W7bcRGFhISdOROpt2mevLr98hP37c6mvv5bc3Dzq66+mq6ud06d3c/fd\nd/L+998yrdhjsdXU3Et7eyvnz58F2igqWkp5ubVawnwQ+CezeEJKWyWHJG6CIGQdWut+4J+Af1JK\nbSSSwD1MpG7pU0Rm4banL8LMwF7YHJwF7JkYiymqj9RG3TleWqu0tJZQqJeRkWE8npy4Fh0rVqyg\nrq6ORYsmJywf+chl47NJ04m9o6ODY8eCtLb+B6dPn2NgoIb29v0UFb1AXd2V5OUttFRLSIXa2lrC\n4Zfo7GweH3tMezZd3Vkymj0pbZUckrgJgpDt7AKqgEuB9cCHgA8rpX4FPKi1PpTO4OYz9sLmMLWA\nPVNj8XjyLeWcJgqzJ9ZiJZOwTCf211/fz4EDLWh9M5WVHyUUOoPbvRSfr5vW1p3U1HQCDSknWuFw\nmN273+TkyTO0tr5CSUkdOTk7aWxsoK7uKk6demVGujNJzmaOJG4pYPpU+ewaN1P4Y3qhmYXWcxz8\nzmyeWY6aM6+DzsnUNiUqWm5i0VkZC+ycvMcAbLXVxwk5eIHZ+3bStZn6K0NwpoxYvF5nrZ7TEJ2G\nkmvTuFls2Zy0bJaC8TbDMvP+W3zzktC1JaNdS4RFX2fzcTPfi4DDe2SOxdhv16uZr520nhmkcQNA\nKbUE+BTwCWAh8AJwJ/AMsAX4O+D7wHXpijEVLvTjSqfC5nYBOzDncSUbS6p920X1ZjmnsbFqhoff\nwe8vZ+vWpim1WE4Jy3Ri9/l8HDx4Dr/fT2npLeTkFFJcXEx//1k8nhr8/mvo6fl7cnIKUhb4x5LI\n6677Y6qrOzly5CzB4CXs2bOL7u7neeih94vuLM1I4iYIQlahlPoQ8GlgK9APfBf4hta6zWj2glLq\nj4gkcfOadD2ujOfNFSM3N4+xsYU88cTPOXp0ZM7jmiqW6Wq84onqV668gcWLV3P48BNs3Lice+/9\n0IyS0enE3tnZychIEQsWXMnQUDsFBasoKakEuujvb8PnO0ZxcSkdHT/knntuSjrRsieRK1euoK5u\nCf39fYyN3Ynf/xwbNqyT2qFpRhI3QRCyjZ8Be4HfBn6ktfY7tGsFHr1gUU2T+fS40uT48cN0dVWx\nZs38iitVnET1MY1aOpOYiopFlJQUcPbsXrQuJScHKip6qKoao6lpEZ/5zEaampqSvl68JNLj8YxX\nVDhxYlnaFzkIkrgJgpB9XKO1fnOqRtEZuI9fgHimzVw9IkyGRN5cw8N9nDjxHnff/ckLEleiWGZq\n4pqKEe50mE7stbW1lJYGUKqDyspbqKxcgs8XqTPq8dQxOPgGy5efo76+flZiFOYXkrilwKAhYzMl\nbQAVQxMCH3eBg0+WqWsztUUBmzbJ1EyZuqUxh7crUVHPpPy/jHMs8Sb5h8kcy1CCm+RUzNKsA2p+\nezX0Zjk51nGZcrmgcUibtncJrNdMzFvkttwLs86soTtMdDGLpjHJAEyc9I2J6tnGsH+OLJ8xc3vq\n+qTJatx8malx+1ul1Ge11oftB5RSjURWlL4vDXGlzFw9IkyGRN5chw8/wdKlV1BYWHxB4ppObc/p\n9HGh76NT7Pn5+dx6axPt7Xvo6nqeysqtFBVVEwoF6e5+iwULWrjttstnrOkzkSoG8wdJ3ARByDY2\nAyUOx4qBTRculMzG6THixo3FNDc73eILG0smmLhOJ/bNm69Ha80PfrCNY8f2MDpahcs1SGNjiE9+\n8rZpjflCJMDCzJHETRCEbMSpVukKYMjh2Lwj3TMkTo8RAY4effyCxjXXjzTnkunEHjsnEAjw9NO7\nGRwMUlCwkMpKcLYAmJpMToCzBUncBEG46FFKfZwJvZoG/lUpNWhrlg9cDrx0IWObCfNlhiTeY8R0\nxZVOn7CZWrKkGntkNfEol1/+P2dtAUgmJ8DZgiRuKTA4MLHdV2A9VlExsV1aZAh/Cgontk0NkmXb\n7gtm6KzCufH3W9qbOjhbvUonzzDzWqbmyfR0cyX41ubocWbEYte4mSKoQIKYZwkzRKN2sUUHBza/\nt8DEQbdZc9ZJBwgwYHwwTA8/U69mivJMPz+zHipYtWymXs5SA9VBL2f/fJjvq+Nnb6KNWZ80kcbN\nrE+aQbVKw0DsJirb6xjdwDeAv7mAcc2Y+TpDMl/jmgvSYcky1wtTxCh3/iKJmyAIFz1a6+8TMdNF\nKfUK8LvxFiekilLqPuAB4GqgEjgB/BT4K631BXnkOl9nSOZbXHNpUJwOS5Z0LkwR0oskboIgZBVa\n61umbpU0nwc6gD+J/rsWeITIAogLalQ2X2dI0h3XXM+GpdOSRchOJHETBOGiRyn1MeAZrXV3dDsh\nWusfJHnpD2qtu43XryqleoHvKaU2S6H69OLz+XjiiZ+zc2eQVavuHbcnmc3ZsHTNfMUWpgwP9zEy\nEvkIxorBzxfrjgtdhi1bkMRNEIRs4HvABiI6tu9N0VYDSSVutqQtxl4iOrpFyYcnzCaxWbYXX3yX\nnTtPUlBwD6dOvU1jYzWNjfUXxWxYXl4eJSWj/OQnX6O4+Ebc7hyU2kl9/TLy84d5//vTZ92RrjJs\n2YIkbinQ1zexbdRCB6z69KIi04zXELgXGL9EZpF1e2F487UpancZonLzg5+sAa+5barKh4zFdU6F\nye3nJ/OLN5pgXA7Gr06GwcrWnZMfrZMZr05Q191cG2LePjU68SLPM7Ft79sSm4OBsOX9NhcdFNj+\nsJrvtxmoZdFDEkbM4LgIwamwfKKC8U7m004LFeYhdcBpY3su2Uwk+Ts0x/0IDsQ0Z17vTZSUdFBe\nvo5QKEhz82GUamflyhWzNhuWLkuW7dt3c/bsYq655mZaW/sIh0sZG6ti795nueUWWLz41/H5fNNO\n3mYyWzZfy7BdLEjiJgjCRY/W+ni87dlGKbWIiMbthWTKagmzj6k56+vrGN/vdudSXr6KI0f2Ule3\nBI/5JWkGpMOSJTbGZcsiiVFDQ4De3l7a208CG9i5czuh0GG83l0pz3LNdLZMNH9zjyRugiBkFUqp\nSqBAa33C2PdpIh5uz2utfzHN6xYSKWAfAD4xG7EKqWNqzkpLa1FqJ6GQH7c7D7c7l3C4lP7+PsrK\nSmdtNuxCW5/YdXUej4fe3kE6O/OoqLiZnJwQJSUrKCtbnPIs10xny2S169wjiZsgCNnGd4isAP0s\ngFLqi0RmyXqBzyqlflNr/XgqF1RKeYFfAMuBm7XWnYnaP/zww+PbmzdvZvPmzal0JySJx5NPY2MD\nzc0vUV6+Bbc7kkyMjc3ubFi6rU8CgQAtLecoL78Wt3vCGzLVWS6ZLZs9tm/fzvbt2+fk2pK4pYCp\nY7Nr3Lq6JrZLjBJ9FjPeEUPLZRait2uWnMx5nQxxTXNWu4DL1I+Z7UxzWXNgiTRuow46KScmafeM\ncVlMe23t4rWxYcq5TF1b0EGvZuK3he52kAtaJGamf67t7TJf53omTsr3TnTktmgNTZNj22MHi44w\nicL2Fq2jrcj82NSmu+bnw2/o2oZtejWfg5bNIpXMmEJRXEPU0y3KZ4j4rv25UuqfgD8Ckk7clFI5\nwBPAVcCtWuvmqc4xEzdhdrFrzhobI7NhR448xthYNcPD7+D3l7N1a9Osz4ZdKOsT+xj7+yMaN7c7\nl1DIj1KdlJZGZhJTmeWajdmydJdhmy/Yv5A98sgjs3ZtWdohCEK2UQGcBVBKXQ4sZCKRewpYmeyF\nlFIK+A8iCxLu1FrvndVIhZSJac5OnnyJYNCPy+Vi5cob2LLlLpYtO82nP72cL37xo9xyyw0Zu7rR\nPsYYoZCf3t6XWLmyEY8nPbNiTrHFNH+bN0uh+pkiM26CIGQb3cDi6Pb7gE6t9dHo61xS+0L7deA+\n4CuATym13jjWobU+NdNghdRx0px95COXsWnThoxN2EzMMfr9lQwONgMVNDWtpqFhYiYxlVmu2Zot\ny6ZyZ+lAEjdBELKNF4GHo4sUPk9kli3GKiCVVafvJ2L98WfRH5NHgC/PIE5hmqRbc3YhsI/x8stH\n2L8/l/r6q8cT01RXtjqtkB0eHuTw4ae5+ebCKa4QPza4+O5/OpHELQUstcRtK8lNjzezXUnJhHBI\nmXozUxxkv5ipP8tx0Dk5eapN0jkZujZT22Tq7cztRJ5q5jGL+VkobhsdsIrMTN2UvdB7PEx/NLft\nC7LpM+ZkY+ekV7PL85ys7kwsUkNbLObbZ9q1mRS6JoJROaZW0FZk3vIeG/fVHEyyRebN1w7ebb6h\niQGbGjWfTePm5N1m7u+PH9V85AvAvwN/TcQs1xSfPAD8MtkLaa3n2hNOmAGzqTmbaRWAuaoiEBtj\nXV0dixbNfJbLnC0LBhdy4sQpTp58myVL6mhuXklLy+NJW4Oku9zZxYokboIgZBVa67PAbQ6HbwVG\nHY4JWchMfc0uVBWB2ZrlMq/zxBM/p7sb7rrrYQoLywAx0p0PSOImCIIQRWs9MHUrIZuYqa/Zha4i\nMJuzXEePjrBmzUfFGmSekfkKTUEQhBRRSm1SSn1TKfWsUupl289L6Y5PmB9M+JptcUheWvD5fHN2\nfjpJ1hoEIuNsbW2ltbU17nimOi6khsy4pcCAKUuzfS83NW79xrEyQwNUXGC8MOtVemy/GJa6lA4F\nIM3pdae6pWAVbVkEYDYtXDwCtjaWa02ta7PXuzR9wkzJlVN5TtMfTdut7ozzHYfosG2Py0njlmvE\nNWacY6+bmsBubpw841q5yYjqwCbS0/H3k2BgTvVgje1kPdmGHY6ZzYyKt/OaaJWEbwA9QAtgNxJ0\nMEwUso22tja6usDj6aC0tNZisZGMr9nFXkUgHA7z8su7HB8DA1Jsfg6QxE0QhGzj80S81z6htU7C\nSVrINmK6tCeffJ2DB/N5771WlNpJY2MDjY3ZkXAkYw1y7FgOO3aMOj4G1lpLsfk54OL/9AmCIFhZ\nBHxXkjbBiZgurb7+U5SVXUlJyS0UF99Pc3M/R4/uAUxfs1rH60SSn06LEW2MZM5PJ1MZ6V5//TL2\n7Dnh+Bj4hRfe5cUX383Ix8TzHUncBEHINn4F1Kc7CGF+YurSCguLaWysprf3MOCivHwLR460MDzc\nl1QVgEyvIrB58/Vs3VrGuXOPceLENk6c2Ma5c4+xdWsZK1YsTvgYuK+vmP5+T1IaOSE15FFpChgy\nNvJsGiBT49bbM7FdatQt9XonNEi5pkjO9GqL9zqGpXimqYMz3sZJXl6GTs3UpZk46eXsOGjknHRt\nifzSQg66NMfukpXupejpluhaJuYtDtljSeK3yNJnssGYJHOTJmncTN+9iffLPxLfu83cHrBpOAeN\n16bW0/w1yJxSpfwP4FGl1BGt9avpDkaYX9h1aY2N9SjVzpEjewmHSxkY8NHW9q/cc89NSfmjZXIV\ngUQWI62trWmOLnuRxE0QhGzj50AJ8IpSagTotR3XWutlFz4sYT4SqXW6grq6JfT393HqVDmf+czN\nNDU1JX1+plcRiGcxMpUGrqxsENBZX2x+LpDETRCEbOMlImWqBGESTgmJx+OhrKyUQGCU+vrUn7Sn\n6q82V5UWZgun8lgTZbaaoosTnI7P78fE8xlJ3ARByCq01g+lOwZh/jJ1QjK3CceFqrQwGyTzGDhT\nHxPPZyRxEwRBEASDdOrSLnSlhZmQzGPgTH9MPB+RxC0FzMUJRTatuLk4wWnbLEC+wGvYlXpshcZN\nJXwyBcWdHGztry2F6Y0FEGb/icxhHQx4Vc7EKoScnIk2IdvpRpSOwzL3O5nsQmJ9f7xrWRYX2Ns7\n6P6dboXb9ltjXttpOxmT3oQBWBaZGNvmTRqxmTWPxDfdNdcwmNvm4oTBBItvnBYkZNDiBJRS64Av\nAjcDZcB1Wus3lVJ/BbyqtX4urQEKaSVdurSJFa33Z1SZqakeA0ux+dll/sy5CoIgXACUUjcBu4FV\nRIx4zb+DYeAz6YhLmD/ESjR1dkZ81lasWHFBkqVUykwJ2YvMuAmCkG38H+B54C7ADfyecexN4GPp\nCEpIP5mkLxOyF0ncBEHINq4C7tFaa6WUfXVpF1CVhpiEeUC69WXJlJkSCw1BErcUGDa27XqeQkNe\n5KRxKzHMeAsKJvRL+R7b1XJsmrcYFgNeQzFmFqy3fyN0Emo56ejM/XbtndmP2b9hGJzrmRBN5YxY\nDWFNPZXTF1ezgLtZ5F0n0LjZjX5jBI025vmJbpFdvza+3zjHHDpAUdHEttcbf9tyjv0CTsE4OQMH\nTI2bUUpnxFY+xtC1+YYmrjXoYLprFpIftn0kB417bL6rTtvznFGgwOHYJUD/BYxFmCfMB31Zule0\nCpmBJG6CIGQbvwT+QCn1M2NfbObtk8DLFz4kId0kqy+ba5F9JldaEC4MkrgJgpBtfBHYBRwEfkIk\naXtQKfV3wNXAtWmMTchyLoZKC8LcIkpLQRCyCq31QSI2IGeBPwMUEwsUNmmtj6QrNiF9RPRlnZZi\n8DEm9GW1FyyemIXGhVrRKmQOMuOWAmaJdruex9RT9RsFuZ01bhPbHo/1au4cB0csU/Nk6s0snm6T\np/nj4lRY3rxuQaH1HEs/hv7Na/Q5NKEEVDbtXv6IoRI0rhV08Gsz76myfcVw8kgzQzR1aTjI+Ox4\nHfpMpHEz38t8UzllNjTfF0MTOFlwZ3zKxsxPnLFt3sdR4z+ZUavGzdS1WbRsDho3n6FxsxeZN698\nEWjc0Fq/CWxRSnmBCqBPaz0yxWnCRYzoy4RMQRI3QRCyCqXUd4C/1Fq3a61HgU7j2DLgS1rrT6Qt\nQCFtiL5MyAQkcRMEIdt4CPgm0B7nWCXwICCJWxYi+jIhE5DETRCEbMTu3xZjIdYnw0IWIiWahPmM\nJG4pYLhnWfRuYNX3DBr6IFPvZvpnmdo3u8ypwjVRx1SZB0z9k+nlFS6Mvx+c9VSm5sqy39Su2b5l\nOvnAJVNb1Y7hP5abMyEs04H4hUODtt1OOjUn7dtMDc9Nf7d8r+1YQRJaNqd7lKgerOnRZor3TF2b\noXfz20RmQw5aNrOkqZOnm73sqSnXdtK1OdjpzQuUUncDdxu7HlFKddma5QMbgV9dsMAEQRBSRBI3\nQRCygaVEkjKIzLatxZqPEn39GvCnFzAuQRCElJDETRCEix6t9T8C/wiglGoH7oraggiCIGQUkrgJ\ngpBVaK3r0h2DIAjCdJHELQVMNbPds8qUBHkNsY/pjWVq3/Kd6ljaXhdh6N3GDP2a1ya0Gj/ZVl/U\n0UvM0Mu5HOqeFiS5ksrJSG1szLmdw7ZysJdz2zRqIZs0LB5OujZ7PVK3g8ebua08xgu79s/0sXOq\nM+uka0ukcXOqT2rWIDU+X3ZdmpPGzfRoM3VxZq1S++fb1HSa72rAYf98RynlAq4j8gh10i+T1voH\nFzwoQRCEJJDETRCErEIptRp4CliBbf1PFA1I4iYIwrxEEjdBELKNrxP52/frwNtMXqQgCIIwb5HE\nTRCEbOMq4CGt9U/THYggCEKqSJF5QRCyjS7mt+2cIAiCIzLjlgKmGMZmc2v5X8DcdhKIm4XJ82zS\naHM9galVLwpPSMbdduF/vJPtHZkXMxcxuJzU+Q5Ce0h+4YKJU2F788YY+3MNibx9oUHAuMmmcN7p\nm0gij2DL/XdazGEuQDD3g/VeOjkAWxYdGBGHbVbOFqNdY4mAMWCn4vHmNlgXGzgtTjAXNJgLHezP\nDs3PtLlwIeywPc/5e+BzSqn/0lrbvbQFQRDmNZK4CYKQbVQBK4FmpdQLQI/tuNZaf+nChyUIgjA1\nkrgJgpBt/Lmx3RDnuAYkcRMEYV4iiZsgCFmF1lq0vYIgZCySuE0TuzDG1LyZ+iBTT2TqjEpKjPY2\nt1NTdxRykEkVGFqovLDRSaLC8AVGMXqvXaUXB7s5rEULZxajN/Vb5nVLnc932jbMZc0+3AGr6srr\nmlBd2cOMt9/RTBesmjVTr2beS/MCXpvGzSKgMwrLm/fCokk0NW624C1GuxMfDPMzYkrfnLRr9nYj\nDka95rbfELLZPx1OxeTN6OWPiSAIwtwj3zwFQRAEQRAyBEncBEG46FFKhZRS10W3w9HXTj+ZVL1L\nEIQsQ55uCIKQDXwZ6DC2dYK2giAI8xZJ3FIg0V9685iT3s30HjO3fTaNm8fQHSWj3wqOTbzIDwxb\n2rntPmExTJ2WY/H3JC2uchwKsDtVebf34+RJ5zR4rJ56bod2bvNFIn86pyLxFk83B682+zlmLE7j\nN/V6ozbHtCQKyPscNG6DNh83v0M7R72bWdPeFrIZpflxNd+5+ezjprV+xNh+OI2hCIIgzAh5VCoI\ngiAIgpAhSOImCIIwA5RSi5RS/08p9ZpSajiqoVua7rgEQbg4kcRNEARhZlwK3EekAsOriH5OEIQ5\nRDRuKaCmbgJYdT+mSsxJ4xa0CYpM/y0nyZR2kIjZr2XWN7Uou0xPN9M7bazI6DxBrVKXO/7+HGO/\n/XyL35vRf9j4f85JF5Zj04JZ+jHOd9LFOdVmBWcfN1PLZraxn2++dtILmv5s5ps/YtUkOtUhddKl\nmW1MTZz9mFm31Oze3G9q12yyS4tu00nXNp81bnOJ1noHcAmAUuqTwO3pjUgQhIsZmXETBEEQBEHI\nECRxEwRBEARByBAkcRMEQRAEQcgQROOWAqaqy67+MvVv5k21aIBMyZOD3g2smjVTPmVqlrze+O3t\n1zL7LDGUS7kFgxMHBgzvNXutUxOL35lDG6capGCrb+rgI+cy7qSlhqlNU+fknTbmUIM1J5EPmzv+\nMUsN0gTjcvK+M98MU0do1iAdsSrDnPRrphZteCh+myGbj5v52qluadDURxJ/G6y6NpfDdrZq3ARB\nEC4kkrgJgiBcYB5++OHx7c2bN7N58+a0xSIIwuyzfft2tm/fPifXlsRNEAThAmMmbsL8w+fz0dnZ\nCUBtbS35+QmeRAhCHOxfyB555BHnxikiiZsgCIIgAOFwmO3bd7Njx1FCoVoA3O6dbNrUwObN1+NK\nVMZPEC4QkrgJgiDMEKXUvdHNa4hIXj+glDoPnNdav5q+yIRU2L59N9u29bNkyf3k5kZ0uMGgn23b\nXkKpPdxyyw1pjlAQJHFLCfNm2e1nHexoreJtQ70dshSJt55jLjYw9fGm1j3scH6u7R11MvAt7+ub\neGExoDW27ZjC+6QWGtgXJzgI/82VFsniaHrrmdwWrIse7IsTTCwLEkyTXwdjXbAuiDCLxpsLEkYm\ntkNDEysF7AsKBgaIe8xcXODUxn4t8xynbYelHEkvTiCJ/VnCfzJRMUED/xLd3gG8Ly0RCSnh8/nY\nseOoJWkDyM3NY8mSLWzf/hgbNqyTx6ZC2snyv7WCIAgzR2vt0lq74/xI0pYhdHZ2EgrVWpK2GLm5\neYRCteO6N0FIJ5K4CYIgCIIgZAiSuAmCIAhZT21tLW53J8Ggf9KxYNCP291JbW1tGiITBCuicUsB\n82bZVVk5Dtum4sqpSLy9MHzYoYC8id84J9fY9tgkXnb93HiMOROdFHM2fpCTtFwlE9sFM9R5mP04\nGeCagxkz9HX22BLpz+L1l+zKMFPTl+hNMQvIO+ja9NBEMXlTi2bq1eyvnUxznXRtI7Yi8xb/X1Pj\nZvu8xSOU4Jh598yPm8NHTRAygvz8fDZtamDbtpdYsmSLZXHCyZMvsXVro+jbhHmBJG6CIAiCAGze\nfD1K7WH79scMO5BOtm5tZNOmDWmOThAiSOImCIIgCIDL5eKWW25gw4Z1hgHvRplpE+YVkrgJgiAI\ngkF+fj4rVqxIdxiCEBdJ3FLALCxvXzBu3kiz4LzHQVqVyO7MlFC5Hd4hUxcXMguF24RGeUkJjwy9\nW875+EGC1a8sUDSxXWDsN/VqiXzcktGoJbpJJslo3Jz22+Myb77lunpiO2ATiQUMMbMhNNMjE8Iy\nU7vmtA0waGjWzPfYybvN1LVNCst4bWoinbzbzI+Kth1z+kNh+aw7tBEEQRBmD1lVKgiCIAiCkCFI\n4iYIgiAIgpAhSOImCIIgCIKQIYjGLQUKje1Ea4xM/ZtpReZUItNJxwZWvzflkGY7ybLAqpNy8oQz\n5WPKNXFCEd22jgx1lOFRRpGxbdYttevSPA41TU2/NDNI0x8tYDPFNAVcAQfVVjKebvbzU40LLN5t\n/qGJdk7ea/2GXm3QVl902Hjt5MOWzH77MXNYdv3aeBtj2/6RdPqImncykfebIAiCMDvIjJsgCIIg\nCEKGIImbIAiCIAhChiCJmyAIgiAIQoYgGrcUKDa27bVKDfcya61SQ+NmSqvM/domxTK1cE66NidP\nOLvOKZm6p26Lxs08Yr1YUaBr4kWBWZNzog4nXkP9N0njlsuUmEGOOWjM7HGG3QAAE8VJREFUwKp5\ns9cxjZHIuy0ZLH1M9B8KWK/rM7Rkww4ea44aN5uPm5Mvm6lXs9wiY9tv93EzbfCM/ab3mqnWM0dl\n/3ybDDvsFx83QRCEuUdm3ARBEARBEDIESdwEQRAEQRAyBEncBEEQBEEQMgRJ3ARBEARBEDIEWZyQ\nAqaxrl1mn2OkwObiAqcFCYkWIJiGvLkpvkP2xQlOQnaTRPXbTfyGQD7POyFRLyyY2FYeI2C743BO\nEosTLKspDOm8LXg9NtFuOnXlk+k+aHQZMrbNhQL2104LEsw25v4hmwGvpRi86TGchOlu0Pb+mks2\nnN5iJ9Nc+ztlnm92Y96KGS4FEQRBEJJAZtwEQRAEQRAyBEncBEEQBEEQMgR5VJoa24HWdAchCBnA\nqXQHIAiCcDGitHYqOS0IgiDMNkopLX93BSG7UEqhtVZTt5waeVQqCIIgCIKQIUjiJgiCIAiCkCFI\n4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiCIAiCkCFI4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiCIAiC\nkCFI4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiCIAiCkCFI4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiC\nIAiCkCFI4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiCIAiCkCFI4iYIgiAIgpAhSOImCIIgCIKQIUji\nJgiCMAOUUouVUj9RSvUppfqVUk8opZakOy5BEC5OlNY63TEIgiBkJEqpfOAtwAf8WXT3V4F8YI3W\n2hfnHC1/dwUhu1BKobVWs3GtnNm4iCAIQpbyO8ByoFFr3Q6glHobOAp8GviH9IUmCMLFiDwqFQRB\nmD4fAvbEkjYArfV7wC7gznQFlYjt27dnbf/ZPPZ095/NY59tJHETBEGYPk3AO3H2vwusvsCxJEW6\n/wOT5CE7+8/msc82krgJgiBMnwqgN87+HqD8AsciCEIWIImbIAiCIAhChiCrSgVBEKaJUuoM8KTW\n+ndt+/8FuE9rXRPnHPmjKwhZiKwqFQRBSD/vEtG52VkNNMc7Ybb+eAuCkJ3Io1JBEITp8zSwQSm1\nPLYjun0j8LO0RCQIwkWNPCoVBEGYJkqpAuAAEQPeL0Z3fxkoBK7UWo+kKzZBEC5OZMZNEARhmkQT\ns/cBJ4D/BH4KXA6sACqTuYZSKhznJ6SUWpPk+fcppZ5USp1QSo0opQ4rpf5KKVWUxLl5SqmvKaU6\no+e+ppTamEy/s9T/jMYevcbtSqmXlFKnlVKjSqmTSqnHlVKXJXHubIx/Jv3PePxxrvlc9DpfTqLt\njMc/g75n473f5HCdniTOndHYZ9j3jMYuGjdBEIQZoLXuUEr9LXAN8CvADdye4mW+A/yrbV9Lkud+\nHugA/iT671rgEWAzcEMS/f4a8D+BduD3gOeVUhu01m9dgP5jMUx37BCxZNkH/AtwHlgK/CmwWyl1\nhdb65BR9z3T8M+k/FsNMxj+OUup+YA2Q7KO02Rj/dPuO9T/TsWvgvxN5D2KMJdn3TMc+3b5j/U9v\n7Fpr+ZEf+ZEf+ZmlH+CTQAhYmmT7MPDlGfS3IM6+34rGsDnBeVdG+/6Ysc8NHAaemuv+Z2PsCa7b\nGL32H871+Kfb/2yPn4hv4GngN5K57myOP9W+Z2vswKbo5+x9KZ4347FPt+/ZGLs8KhUEQchgtNbd\ncXbvBRSwKMGpdwAB4MfGtULAj4CtSqncOe5/Lok9rko0+zEr459B/7PN3wBvaa0fT7L9bI4/1b5n\nk+ms0p6tsadlhbgkboIgCOnnd6P6qOGoXuqmGV5vM5HHOIcStFkNtGutR2373wU8wKVz3H+MWRm7\nUsqllMpVSjUA/x/QCTyW4JRZHf80+o8x4/FHz/ko8LkUTpuV8U+z7xiz9bl/VCk1ppTqUko9qpRa\nMkX72XzvU+07xrTHLombIAhCevkh8FlgC/ApIpqpl5VSN0/nYkqpRUQ0Zi9ord9M0DRRua7Y8bns\nH2Z37K8DfuAIkQUiW7TWXQnaz/b4U+0fZmH80dmhbwJf01ofSyHeGY9/Bn3D7Lz3/cDfAr8N3EJk\nRfetwGtKqUSLg2bjvZ9u3zDDscviBEEQhDSitX7QeLlLKfU0kcL1f0lER5M0SqlCIv5xAeATsxbk\nHPU/m2MnMutTAtQTEZy/qJS6UWt9IsXrTJeU+5+l8f8vwAv81bSinhnT7ns2xq61PkDEjifGTqXU\nTuANIosGvpRqXMkyk75nOnaZcRMEQZhHaK2HgGeAa1M5TynlBX4BLAe2aq07pzill4io3E5stmFK\nW4MZ9j+J6Y49eu4RrfXeqM7qVqCIyEpXJ2Z1/NPoP941Uhp/9LHc/ybiIehVSpUqpcqih/Oir53+\nn5/R+GfY9yRm8t7brrOfyOrM6xI0m9X3PsW+452X0tglcRMEQchwlFI5wBPAVcCvaa3jltuy8S5Q\nF024TJqIzJgl/ehrmv3PGVrrfiLxJ9Iqzdr4p9n/bFAP5AH/TiQZ6SWSdGjgj6PblzucO9Pxz6Tv\ndDNn7/2FQBI3QRCEeYRSqgT4IBHNVDLtFfAfRBYE3Km13ptkVz8nIsT+sHEtN/DrwPNa6+Ac9x/v\nWimNPcF1aoBVJP4PeFbGP4P+452X6vj3E9FX3ULk/sd+FBEd1eYEMcx0/DPpexKz+N5fA6wE9iRo\nNifvfZJ9xzsvpbGLxk0QBGEWUErdG928hsh/Xh9QSp0HzmutX1VKLQXagIe11l+JnvN5IrMyrwBn\niTxm/DxQA9yfZNdfB+4DvgL4lFLrjWMdWutT8frWWh9QSj0O/INSykPEhPSz0RiS7Xva/c/S2FFK\n/RR4E3gLGCDyH+cfEJk5+btomzkb/3T7n43xa60HgFfjxARwXGu9c67GP5O+Z/G9/yHQSiSJHCAy\n4/snwEng/83V2GfS96yMfboGcPIjP/IjP/Iz8UPEVDMU5+fl6PFl0ddfNM75ILATOEdkReJ54Eng\n6hT6bXfoNwT8hVPf0f15RFbGdQIjwG5gY4rjnlb/szH26HX+mIhvXA8wRMSC5OsYBshzPP5p9T9b\n43eIKQQ8ciHGP52+Z/G9/xMiCwR6o9c5DnwDqJnrsU+379kYuxSZFwRBEARByBBE4yYIgiAIgpAh\nSOImCIIgCIKQIUjiJgiCIAiCkCFI4iYIgiAIgpAhSOImCIIgCIKQIUjiJgiCIAiCkCFI4iYIgiAI\ngpAhSOImCIJwkaKU+pJSKjTNc39fKXX3bMc0jTiWKaXCSqmPGfseVEp9PE3xfEkptXmWr7kpOsab\nZ/O6xvUfil5/aRJtlVJqv1Lqj4x9tyulXlJKnVZKjSqlTiqlHldKXRbn/DKl1L8ppc4rpYaUUi8o\npaZds1Qp9TGl1E+UUu9Fx/Adh3Z/rZQ6qJTqVUqNKKUOKaW+qJTKt7V7Uin1L9ONZz4giZsgCMLF\ny7eA66d57h8AaU/cgNPABuAZY99DQFoSN+BLwPtm+Zq/IjLGN2f5ujF09CcZfgtYSKT6Q4wKYB/w\nOeA2IlUDmoDdSqkltvN/AdwebXsPkAu8opSqnWbsHyVS0H4b0J+gXTHwHSJlo/4b8O/A/yZSR9fk\nEeBTSqlLpxlP2pFapYIgCBcpWutOIiV9MhatdQB4I91xzCVa6yHmzxg/D3xfaz0a26G1/hHwI7OR\nUmovcJhIndq/j+67k8gXhVu01q9G9+0hUhbtC0S+DKSE1vp2o89fS9Du92y7XlFKFQL/SylVobXu\nibY7oJTaH43Ffk5GIDNugiAIFylKqYeVUmHbvrBS6stKqf+ulGpTSg0opbYrpVYbbdqBpcBHo+0t\nj6iUUlcqpZ5WSvVEH0v9Uil1k62f70Ufqa1VSr2qlBpWSrUopT5ta1ejlPq+UupU9DFcZ/TaldHj\nlkelSqlXgE3AjUZsLyulropufyjOffieUuqEilZAd7hXtymlnon2P6yUelsp9UdKKZfRJkxk5urP\no32FlFJ/MdX9V0pdHo1xOHr9R2ztLI9KlVJN0fv6d7Z2X43eo7XGvkql1DeVUh3RY4eUUp9yiikR\nSqn1wBXAY0k074n+O2bs+xDQGUvaYLwY/c+BO6cT0wyJFyNEktAHlFJ5FzieWUESN0EQhIsXp0dk\nHwU+APwPIo8dlwJPGUnKXcBZ4DlgPZHHeH8JoJS6CtgFlAG/TeRxWDfwolJqna3vEuBR4IfAHURm\nlb6hlNpktPv3aB//f3vnGmNVdcXx32KCotLysIGmRE1sqwYfTbRabAK2auOk9gNJIw1FhZCoRQNa\nDTWYjkijHxr6TIwUioVatVbbavERQUQeflDxhRRERQStjyqIAoIzMv77Ye1LD2fOPXcuM8NwYf2S\nnbln733OXmefQ+6ftdbe9zrgfGAy8B/gyCr3NAl4AXgpY9uVkp7Hf+w9LwwHABcBf1T5j3MfDzyR\n7un7wHw8LHpzps8IwIB56fPZwNySa1bGux94DBcvdwEtBYJvj22S1uDzcbWZXZDu41zgeuB6SS+m\nui/gz6IZuDHZvQCf46tK7KpGM7BN0qqiRjPrY2Z9zezrwGzcm5sVeScD/y44dQ1wrJlVe6bdhpk1\nmdlRZnY+8FPg9iQesywHBrDvaQS9SoRKgyAIDj0+A34gqR08IR24FzgLeErSKjNrBTZLWpk7dyaw\nEQ+HVc5fiH85t+BCrkJ/YFImbLYCFwdjgWWpzwhgWgrHVfhHNcMlrTOzbUBTgW23AXPN7BhJb6W6\n8Xie1e1lEyJpdvbYzJ4EDscF1A2pzzPJafe2pM6GNgXMkTQzHS9OYvI6M/tdgaio2DMribb5SYTc\nASyU9PtMt2uAY4BTJG1IdUvMbBAw3cxmSfqczvMtYHVJ+9PAGenza8B5kjZn2gfjYdE8Fc/XIGBn\nHfbUhZmdzN72/5mckE+sAj7H372lPWVPTxEetyAIgkOPxyqiK7Ea9ySVrjo0s37AKODv6bjJzJqA\nJmBxasuyMxc2awNezY2zEphqZlOsC6sPE/fgCezZUOHlwEMp368qZvZlM5ttvnqxDRe3NwMDzWxI\nF+26r8DO/kCt+52Ih/mexed4Qq79AlxMbao8i/Q8FgFfAoZTH18BPihpvxgXd2OBbbgIrblSdT+y\nHvgmHkqfhv8n4i/5TpJ24+/Jvi6Y6FVCuAVBEBx6fJg7bk1/+9U4bzAuIFpwYVMpbXii98Bc/60F\n12jNjTMGD+9NBValXLeWWjdQhKRWPIw5MYX1RuLi5Q9l5yWP44N4qPEXwHdxAXBL6lJrXmrx34Jj\nA4aVnZQS6h8GDgP+KikvqobgYvmzXLkX9/QdXaed/fj/u1BkzyuSVkr6Gx7W7o+vMK2wFfeq5Rmc\nae8xJLVKel7SCkm/xFMBxprZWQXddwFHFNQf8ESoNAiCIOgsH+EhplvxMFTVZP/OkkJtk4HJKXdq\nPDDDzN7Phy87ySw8t2k0vp3JG5IW1Tjnq3gIcJykPTlb5qsku4OheHg5ewzwdtlJKUR6Ge5xu9LM\n7ky5fBW24CJwCsXP4pU67dxCsfDqgKSPzWw9kN1WYw2+XUie4cCbknosTFqFZ/F5+RodV+0OBjZ3\nOKMBCI9bEARBUEQrOY9E+uJdAXxD0gvJu7FX6cqAkl6T9HPcM1MWRuxgW+YaG/CFAFPxrSrmdGLo\nStL8ntWHZtYXGFfQt63a2CWMyR2PBbZTkk9mZkfj4vgh4NvAi8DduQT/R4GTgLeKnoWkT+q0cx2+\nSKMmZjY0jb0+U70AGJY8nZV+X8RXm/6rTlu6g+/gnsfXs5XJ9n7UL2wPCMLjFgRBEBSxFhhpZhcC\n7+ELFTYB1wLLzGwRnvD/Lp5PdTrQR9INnR0gfakvxldarsPDfKPxkOvCGrZNMrMx+JfydkmvZtpv\nw4VCG74pay1eBjYBt6QtP3bjif9Fif1rgQvTgoyt+PYX75Zc2/ANX5vwfL5mPHdtuqTtuX5Z5qW/\nEyW1m9mP8dW0t6bzwfdPGwM8aWa/xYXIUbigGilpdO1b34vlwAQzGyRpT1jTzP6Jbw78Ep7bdiI+\nP21AdsuSBcBTwJ1m9jPcQzsttc3M9MPMNgIbJJVuZmz+6wzD8fk5AjjOzH6YmpdK2mJmpwK/wnMJ\nN+CLSs7BPZGPSHo6d9kRuKBbTiMiKUqUKFGiHIQF385id66uHZiRqzsu1V+aqTsRX/m5I7X9Kdd2\nNy7odgFvAg8AzZk+84BNBTY9ATyePh+GhzZX44LgIzzZ/kc1bBuKe6I+Tm1LcmP0AT4B7qljrk7D\nv8h3pPu5CRdI7cCxmX5n4wJsZ2q7scb8t+PCY0my6R3gply/c1K/Uen4Klw8npvrNy71uyhTNwD4\nNS5gP03PZBkwJdNnfP4+qtg7MN3XJbn6qemeP0zz8zIujjtcL11jLh6G3IEvlDiloN/7wF2dfIfb\nq5TKfA3Bt5V5Pc3xB+k9+gnQt+Cac4Bnevvf574WSzcRBEEQBAcFZvY9PIx4nqSlvWjHdHx/tb6q\nb1uOXsPM5gHDlPnFgh4Y4wTcw3qmpOd6apwqYx+Oe4mvlTR/f47dXUSoNAiCIDgoMLPj8YUGvwGe\n603R1sDMANaa2enqYs5iCaOARftbtCWuwBd03NELY3cLsTghCIIgOFhowbfP2IWHBw8EGiqsJWkj\nvl9cV/euKxtjrqTmnrp+DT4FJjSKB7SICJUGQRAEQRA0COFxC4IgCIIgaBBCuAVBEARBEDQIIdyC\nIAiCIAgahBBuQRAEQRAEDUIItyAIgiAIggYhhFsQBEEQBEGD8D9mx4jI0K6WbwAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83d63f438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pixel_pair_scatter(30, 13, 10, 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at these distributions it is clear that there is a predictive relationship here. One way to quantify the shared information between these two values is in terms of the covariance between them. High covariances indicate strong relationships between pixels and signal that we could stand to gain something by using a representation that takes advantage of this relationship.\n",
    "\n",
    "Dealing with strongly correlated variables is a pain. Many statistical techniques assume that we are dealing with uncorrelated variables and for related reasons many machine learning algorithms (e.g. Naive Bayes) are drammatically adversely affected by strongly correlated inputs and even techniques which are somewhat robust to correlated variables (e.g. Random Forests) none the less can have their performance significantly improved by using decorrelated features even if we don't reduce the dimensionality of our data at all.\n",
    "\n",
    "Lets plot the transformed data against each other and verify that they don't exhibit any clear correlations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Gcrko09MT7NhhMDU1SaFQg66bLC6OkMmksKwgPl+IWOwIxWKScPgxSqU6kske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7cN0sR46k31aRdr+i2d4u3q6/kxDiZ/B5TEfxOxrXga8C/05KWblhvwS+COTzQBDfBuOfST94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\nS6UyT6k0RrMZR8q1PR6Uju+XUFUNzyugaRCJTOL7LWKxNLXaEp2OiqJU8P0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D+P4GmraJ\nED0MD9/PyopFqfQd2m0Hz4tQr1u47rcZHU0SCEyzs3OeSOSXMM1ebDuLpp3AdR0Mo0U4rNBuP0qr\ntYNpFgiF7qfZdNncXMNxBI2G5LXX5giFfCqVOktLRXx/mXg8z8REkqGhDLnc3MfK7fsYYuIefiFg\n/tzSXH19Y2Szqx/ux/mMQdwsLnrLE0IsA/+jlPJf3PUAQvx14L+TUk59BJ/vZ4YQ4mVAl1I+fdv2\nHwBIKb9wh9fI289DPp/nlVfy9Pcf3d/mODavvXYaIWY5c+YSqppgZyfI+voyrgu6btHT80u4bgXH\neZVOZ4VAYJCenhSww/j4V+jrG8X3fba3L+J5Waam+lhe/jGPPvrXCQSiFIurmGaBCxeusb6eol4P\nMTo6TDqdIJnspdEocenS8wSDCqYZIBj0MM0kmUyI3l4fTcvym795nNnZWV566Uf80R+tsL0doafn\n6yiKzsLCOba23kbKUQKBTSyrF9P8Ep1Og07nElDE9326jge9dBUSHkVRVlGUA3iejxDL+P41wEZR\nnsT3fwQ4dPOJgwjRRlXzDA4+RbH4/2FZK6jqNKp6EM9bxnF8uqL7NjAHXEdRfmXPteM10uljhELD\nhEINbPvPGBoaJxo9RrXafc9M5gjj4yeYn7/O7q6J76s0mwU0rUAs5jM4WOM3fuMAX//6LyGEuEkT\n8U6E9dCnbghECIHsZhAf1vE+lJgA7ngur1+/ypkzSwwOZmi3e2m34fLlRdbX54A69XqNvr4Mvb0S\nz+snnX6Szc3LlMsmnU6VgYGH0bR1VlaW2N3VEGIaVZ1BUSqEQhkcp0GzeR3D2OLpp4cIhRyuXzcJ\nhYL09ydJpWYoFq9TKDyP4yzT3/85FhdzVCphIpFeLEul1UqxuzuH59XR9UF0fRPfX0FVx2i3C3T/\n1F9GCBVFaWLbHaR8i+7wdB54AE3rR4gxHGeerhzMIVR1Dc+rIkQZVX0YIXaBOJ7n7CWTRRTFJhjs\nR1GG8bxtAJLJPizrBSKRFIoyQKuloqozuG4TKa9jWSqBQAVFKWCaIxQKRXx/FFU9ipR5QiEVy1rE\n817B9z2i0c8BIXx/B8+zUJTPoWlt4vFrHDvWi6Y9iBBhcrnX0HXBykqWyclfIpPpRVUdYrEWGxs5\nDhwYpF5fIhJpY5ojVCqbTE21ePbZI/T39yKE+Lk9hD8IPuyY+Dk/wx1j4hcF3UTqg7SAP3uv/Sx/\nnx9GTNytAjhIV/fgvbBM1wri04JvAf+7EGJcSrkKIIQYB54A/t4HOfANRwLD0PemfddYW1ul04nh\ned1Wku//W1R1BN8P7bU3d6hWDQxjjIWF81hWlpGRBykWXQYGfEZGjtLpFMnnzzM6+iSp1Dg7O5tM\nTR0kGKyyurpDJjOOaUp838E0wyiKy+BggGZT5YEHniUWS7Czs8a5c9col7cRQmdmpsDOzi6PPXaA\nl15aoFo9BQSIRLbp6alQqVSBQVx3Hc+bR1EqKIqDlIcRIrQnleGjKBMI4eN5CbqaweMoisD3k3Sr\nfevAKF1C/VGE6EEIE99/nWLxNdrtNL7v4vsjeF4P3QrKJt3KyhBwAiECGEYOKV08r0W1epZmc4NA\nII8QaVKpcfr6BE899SS5XJnTp8vUaht7+mtTqKpKp1OnUPgGIyNBfuu3/gbt9mUcx8EwjPdFWL8x\n6GPbNrZtY1nWL4QG4B4+tJi4/Vy6rsPly29x8uQXmZwc4803z3Lq1DbFYhLbfgLLOotpfoFyucHa\n2jkGByeIxRqoagZV1ajXFVS1OwTVagWQUsP3JYZhYpoxAgFBOJxGynUUpU6ttsrExDi+f5lSqUK7\nfT8bG/NsbX2XaBSi0WdZWxPkcm1Mc4xyuYWmueh6AdPcwbYrSPk6htFHJPIsnncNCCLl43sSNUMI\nsYPr1mk2x3CcM6jqOJrm4DhlpKzTVc+ZRdNS+H4NVU0Bq7juDkKkUNU4qhpCVQ0cZxIhLqGqFj09\n4zQaKxiGQiaTYX19ACkltu0SjT4N+NRqVaLRB9A0E8t6jXa7SCBwHMex0PX78P0aoBIOz9Juv4bj\nHEHK+3Ddw/j+ddrtJL5/HU37CcFgBCEidDp9+H6Z0dHDKEqWXO6HTE8PMT4+jmEEqVQ22d3tMDBw\nkmz2CmNjGo8//gU6nRaWFWdu7nu88cYi0aiNpunvKXh/D/dwD58N3C0BtOj2Ot4LEbpaCZ8W/N/A\nfwE8L4T4+3vb/gGwBvzB+z3I7d69N8MwAtj2EsViB9c9jK4/jq4rtNvr2HYd171AKFTC94fRdZNA\nIIoQUxhGmrW1N1GUs7TbG/T3jwGCUChIKvX/s/feQZad53nn7zvpnptD3773ds6TIyZhEEgQBAFJ\npEhRpixZK61Ey1x5i65aqbS21qqVq1Trsr2rqlWti1yvZLnKyomiKRE0IYgUwABAGAwmT0/PTPf0\ndO57u/vmdOK3f9yewWAwyGmG6qeq63af+PU59/3Oe97wPFVKpe8jRDcbG/PYdp3BwWFsu8XU1HMo\nShxVrdLdHWFwUCefn+fw4f+RZLKL5557mgsXqrhuN4HAGH/5l6f46EcP4nlhduwIcOTIEXS9n3a7\nTiAwQrW6m6997Xep1WxAwfNeRsooQmzH91U6vMAbQBvfP0hHCmsCKcsoytNIGaPjxM0j5X46qbE2\nHefOwPdbgKDRKGGaB5Cyje+vIcQBPG9jc/s6HcLdBVR1AE2LoyhXgQkSiTaK0sJ1u4AxlpfLtNsz\nDA7uY2RkiJMn5ykUWiQSJqqq4vsOlnWVdHoCTSvQblvYdvhmc8cbFaxLKZmcvMqFC6vMzbU4e/YK\nGxs1urr66OoKMjQk73kVEN4jm4DXFv+vra0Bh+nvH8FxHFotle7uUVZXN3CcJJq2E983sawYUKBW\nS7GwME84HMWyHDxPx3XDBIOD6Poiuq5gWRvYdgVNE0hpIGWLeFyluztIJpPn6NFHSKcfxHFslpdn\nOHfuOXR9gL17f4Fnn/1TVld9qtU2nreKrg8QCEQJh8OEQjFCoQJSbtDTc4BM5girqwa2vYFt7wKu\nYNvP4vthhHBwnCXgOp5n4/suQoToRBsmUNVdSNlAURSEaOB5ZcBGiEEMw6ajI2xjWev4vkGjMY/n\nPYVp2rhumHL5BaScpFbzEOJR2u0VVFUipU8olKXZXKBev4jvg+M0NzvoXRTFwzAiFIsnse0VfP9z\nCGHhuvM4jsQ0H8S2d6Aof41pPohpVnEch2LxAuFwkkbjEkNDI+RyB1haugJsx3HK6HoCRVGo1ZbJ\nZNIEg2EKhTInTsxy9WqA3btzxOMaIyMJ+vq2cerUJe4FCiUhxFPA48C/lVL+m1uWJ+gQQX+GjrDz\nC8Av/yDWsm9hC6+HN3IALwIfB775Jsd4jI5G0l0BKWVTCPEo8FvA7/OK7NUvv5HI9+24E9dVJJJA\nyknW1z2SSY3V1QCBwCCW5aBpUXTdwfc1PM+n3c5jmr1EIiqhUJCVlZc3ucBUpqefIpfrJRA4yNmz\n52k05jHNnQhRwvcvIUSNRmOdU6dySLmNSMTGskL4foalpUt0d59k//7DKMoC3/72dzl7toGiZPC8\nZXx/ANfdwVe/eoqBgRS6DooiiMd3kEx2dGxtu8LQ0H0sLKwixDChkKBcbtJqFfH9G5coSCeyd4GO\nj38BqOD7N0hwI3T4Vn1uJc3tRNTXNn9iuO4GilIlEAjieS08T73l+B5QxPcbOM44sIRpLtLVtRsp\nXVqtPhxnGdPMUK938/TT6+zenSedBte9ysbGKpbVj+uuoaqSYHCUSgVefHEe151jaMiiu7v7puN2\np4L1G40+7XY/V6/O4HnHGRjYRaOxhGFoFAotnnzy2k3H517Ee2UTt+LWa6lpBQDq9TrNpsbGhkW1\nGiEaHcN1W9h2HSEyuG4K15U0GlECgSKWFUDTLBRFQ1EMIpEeWq0pVDWwSbI8TiLRhesWEKLAwECD\nn/iJvXjeEhsbDVzXwXHmCATaxOMPcvLkSVZXfUqlJu12GNP8ScDGthdQVQtNG0TXu6jXX0ZKC1XV\nUJQuAgGHen0Sw+hB13tota7jODWEGENKB1V1AR3ft9D1R3DdLLpuIqWP73soSnTzOnsoSoBAIESz\nuQIYaNoUvm+jKF0oSgjfTyNElFIpT7sdoqvLJRCQBAIZyuU1mk2bfP40nnedUCgB7KDZLOJ5ERTF\nx/PqWFYcWEHXd+L7fXhegXa7Bhi4bmWz638c398gmRwlk6mRyzkYxjyZTJRweJTu7gmknGJ6+utE\noxFqtTyqep1cTtDfP8Lc3BJTUw1qtRTZbIqurl5CoRRXr14HCvT33/0USkKIf0KnQ+1Oeb4n6Uxw\nX6RTjPxrwDNCiP1SyuUPbpRb2MKHhzdyAP+YTtroz6WUJ+60gRDifjpKAv/y/RjcLeeZoNNo8igd\no60BLwG/LqU8d4ddfhjYQ6eA7TrwtOzkKt8W7pQ6TKVWKZVW6ekZodUycJwGpdIsjUaNQMAjFNJR\n1Sjh8HYCAQdV7SKTOU4wuESx2FGvgEGkXGN6egEhbMbH95PJ7GZ5eZKLF8sEgwHqdZ319TC2nURR\nmvT2Bkkm45TLLWz7Ivl8DSGKnDkzT6MRRgiVUOgxNC2GrvehKPuYnPwbXHeKPXvGmJ39FhMTh8hk\nulhaWqKnZyfVagHfrxGPP4AQZaBCvV5EiCxCjAG78bx1OjJvvXRoMIpAN6oaQ9c/Qqu1DMzSkcra\nSce3cIEUiuIhRJ1w2ELKQaQs4rpZfD9AJ4JYQogKQgTwvDqed42uripS1nCcXRQK38P34xjGQXRd\nIEQPCwtzRKMmExMatVqRZlNi24PU6yEsK4GiWESjPbhug5kZja6u149S3OC1i8X28PLLJymVaiS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WbmFKurbTY2QoRCvcAUlcpFEonj6Pp+kslprl17gUYjg6Ko6LqO54lNiokWvl8lELgPISwc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\nYRhGgfH/Ot0Y8lWc+oYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb838689e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the projection weights W\n",
    "transformed = pca.transform(faces)\n",
    "\n",
    "n_pairs = 3\n",
    "fig, axes = plt.subplots(n_pairs, n_pairs)\n",
    "\n",
    "for i in range(n_pairs):\n",
    "    for j in range(n_pairs):\n",
    "        if i!=j:\n",
    "            axes[i, j].scatter(transformed[:, i], transformed[:, j], s=60, alpha=0.25)\n",
    "        else:\n",
    "            axes[i, i].hist(transformed[:, i])\n",
    "            \n",
    "for i in range(n_pairs):\n",
    "    axes[-1, i].set_xlabel(\"PC {}\".format(i+1))\n",
    "    axes[i, 0].set_ylabel(\"PC {}\".format(i+1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now our data looks rather a lot like undifferentiated (hopefully Gaussian) blobs. From the perspective of most statistical techniques this is great this is exactly the kind of data that generations of statisticians wrote theorem after theorem about because it is easy to deal with. But all the structure that was present in the original data is still present in this new form but we have simply applied a rotation $H^T$ to flatten out any linear relationships."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Semantic Factor Discovery\n",
    "\n",
    "One of the wonderful things about PCA is that every once in a while the shape of the principal vectors gives you an important insight into your data that you otherwise might have missed. Although sometimes important insight is found by looking at the distribution of the data in its transformed state (for example the data falls into distinct clusters that you had missed prior to transformation! Something that is not happening here but that does happen with regularity.) usually the insights are to be found by interrogating the principal vectors. \n",
    "\n",
    "Lets visualize the components and see if we can glean anything interesting from them. As you scroll down try and come up with your own interpretations of what potentially could be causing the variations indicated by these vectors. Consider these vectors as incremental changes you might make to one of the images. You may find it helpful to ask yourself \"what would adding a little bit of this vector to a face image do?\". I will give you my own interpretations at the bottom. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OQRB81fl9WXX1QeTkmB/7hWejoPdmM/xiLqgpZWFNt2pyso1kNXUX5pSkqVmR\n9zIInF+YIgdJmg0vPC5J2tt8qn+d5H1OLC+Gd3g2rw+cSz6sn6xqPUbg/7id4WPamvtDkiZBEUMT\nhKsXZqX65B4Z7X41gfIkFJ2swu32JSkyGYtb8TvZl6T4IOG6FiTdHLJnarCCvHkft53vJrAProXH\nD03lkqSJKTRJzstd+IQKAACgEhMqAACASkyoAAAAKjGhAgAAqMSECgAAoNJZq/ySliQ7t5R/UJy0\nNa1RxjIJuhckx5xIqtWcpJrHVfAdx5hqnqCVRcJV+SXFMUkFzXzub4vFYvjNXi6Cdi9RSyQ/5mCu\nu01QWbpZ+wszOS/L5fDOXJjvS9I0qPJzkgripBI2altiqqk603ZDyiqLXHWSJB3MgSetf1yl2nFM\nfeVc8ux2xyNJm/Wztwp5I6LzYirRklZGk+BzjuQ55vY3uea23Tjn1m1nu/H3SBOUXyfb2ZlzN096\n1d2BT6gAAAAqMaECAACoxIQKAACgEhMqAACASi986xkXXEy2sVr7MdOgxYdbHT8JGbdBcD0Jy7pw\nexL4TAK3SUC4lOGD2u2CMGHQhsK1/hmjZYwkzYP2KK5tSbIviSDDaq+F9caf223Q1uHefX+Bu3Pn\n3kMpLO4wWdkkNJ20p0nukWLeo2kQ5t8EwfXJxJ//zjwQ22kQik6C08F75ELPNS0+3sh2kvYpyb7s\nkooi1/pnpDY4Y7Wn8a/jr4U+qJAa47j3wfmfTP2FeTBFUrSeAQAAOCMmVAAAAJWYUAEAAFRiQgUA\nAFDphV8pvdvWh9mug1D6SyZkLPmVuJMwebLC+fMK6yfB3THC1S60K0lNEP6dmQ1lIfv6wLkkjZGn\nTbaR3COu6OLVV/1S6W07znlxYyYjhWnduRurKCAxM0HYgwkqS9Lj11Z2TBsEbhtzfl1XA0lqW/9c\nmAXFHe49SO5XBa/jgvbJCudJEU8SBHfh6yQgfwgC3O59TraT7EsiCZy7czcJqhz6xr9Osi+77XBF\nS3Kf3YVPqAAAACoxoQIAAKjEhAoAAKASEyoAAIBK510pPQjcutWMk2BjsiLy/uC343JzbiX1ZBtS\nFpC020gC8iOF6J0kiNxEK7KbbQT/PEhWwU3GuPdxFqy8nzD5SUnSw0fDN1JSfHB5z+/wLAj0J2FZ\nu41gE415cu2C6ym5tne7oNAhCE4711d+G6urjR2zvJybbfgChSZYKX2/9NeLK3QY4z6T/M+RZOX3\nviTB6qC3CoesAAAgAElEQVTjQxD6H0MSXHeh813QHSE55iT0796DJiiKSXQrf3278zILikjuwidU\nAAAAlZhQAQAAVGJCBQAAUIkJFQAAQCUmVAAAAJXOWuU3n/kxroovqQKJ2r0ExRm2siiopkpaiTQj\n9DVJKrtG6jyQtZAYwfOq8muDu2JmWqwkb2Fy/h9d+UHX18OlgLOZPzHzYEzSemZmquuCgitNg/Pf\nmvt+jGpDSep7/4Bx15RrjSJJl5vh6jxJevTg2o5Zr4ZLjZN7tev8QyqpELu8P3xM06DFR7K/7vwf\ngiq0Q1L9G9ywvSkQS86bVF/BJ2VtWPw2gnMXnF9/j/ib/hD88EzOy2wxPPGoacnDJ1QAAACVmFAB\nAABUYkIFAABQiQkVAABApbOG0pdBKH2xGA6zJW1aJrNx2lCsNsNhtSTY3nX+hZJA7RhB8KQlTxKu\nfl5h8dr9GJPLRybFB1fXftB1MMZdC4uFv80vlv5NmgbtXJY+W22ZzKgkadYOX7ttdH8E91lwL7rr\nbrv199lLL/sTl4Rlr01rmfW1b82RtGrpRggIX97zx5y09XHPjpI8T+2I7PnuChBK8hGG7zCkXXD+\nXUuYNigKSK6XpFWRk1xzu6APV7Iv7npICrrufP1n/psAAACQxIQKAACgGhMqAACASkyoAAAAKp01\nlD41wVIpWJE6mBImiyZHgXKTiUtC3okkxOrGJKtaR6vtjnBIfZ+E7OtfKHkPE+t1cv6HA5/JIsU7\nsw0pW+V8sRgOlyaB83sXdki0yrkbk5yXNrgW3Jhg8Wb7bJGy4gJXFJAUZSSx6OaVpR3TtsMv9vGf\n9sFeF2aWskDzdjP8Wq9Fq60v7JjZfPjHmDsnUroiu78u3arhpfjzdkg6biQXpttGcP6T1daT0L87\nL8m+bDfDXQAkqQluNndMyerwd77+M/9NAAAASGJCBQAAUI0JFQAAQCUmVAAAAJXOGkpPwqfJ6sz+\ndfyYXTC1PJhwdT+t34aUBcFrVnN9Y6/jxxzMhpJgYxKid5KigM0mCD92wSrESbrauLjwF4wLnEvS\n5cXwxZsEzi/m4xRUjFHE4FZBl6Tdfvh6WXf+enJFJlLWicFJOh9cXgSFG8EK2pNmOMS92/kD+thP\nPvQvFHBh5UNwL143fqXuvTmmSRBKT4LrySrcrtAnKUQZKyzuxrjntpQFzqMxh/rne3LM+0PQWcIU\nVCSrtt+FT6gAAAAqMaECAACoxIQKAACgEhMqAACASkyoAAAAKp21yi8J0ydtY8Z4nUQzH/7+NKhU\n6/zq+eqC1jOuVUIJztsuqHKSgkoQU8ERFDbaVi6Sr+JLtrFe+zcgqcTxLSb8Qb/lreaCkjSf+e1c\nmO4cy1l9K5eUq75L7sWkxUdnynKTCr6NLyAbxSGoTmqC1ifTqT95nalQdW1aJH9tS9LVtS85bEzl\nXDv1+zIN2oC4yrrk/CeSVl1O1OJm4c9L8nxxh538WDwELW6SakFf/Rj9MLKSikN33SXbuAufUAEA\nAFRiQgUAAFCJCRUAAEAlJlQAAACVzhpKb5ogrGmmfEFmMTJGy4ykxU3Gh+JcQDvJYbpzK0l9kig3\nwfWk3UXX+TGubcwuCFCurnwSebvxAUkXXJwvgj5EgRK8Ry5DfLVO3sMgLBtsxoXOgxyyNlt/Iz1e\nmW0EgfNt0KpoEtzT16vh624bXNtJEDZpveHutevHPkzerf3Ju354ZcfsTd+qJJSud77VDpnOhrfT\nBO9h0sqrTVqsuJskeeYGRUn7oHDABcqjbQRjklY5LnS+3QTVWoFJcMO69ygJ/N+FT6gAAAAqMaEC\nAACoxIQKAACgEhMqAACASmcNpbdBKN2t8vxo5QNkQa4u4jLPJoMZbeO4nSB8asYkYf1kBeHNxm/I\n7a8Lk0vS1qzwLEmbtQk2BstjJwHKZOXf1iRdm2BJ8MePfBCzD97Hh4/qt5Gs4LxY+GN66d7wdpIV\nzJN75PHV8EFtNsEK/0H2dB/cI49eGw5xZ0UZyT0SFEuYg3rwUw/tNq4emAtKUrf24XZnc2UqCyQ1\nQcjYhfVdaF2S2ql/nSaoOmrN6vBJyDsJiycFChvTFWIfrE6ePAsPwfXtQumH4Idnci0kxR2uYGhS\n0VqFT6gAAAAqMaECAACoxIQKAACgEhMqAACASmcNpR8OPkDmcoDJ6uRJyDXJobkcYBesvLxe+zF9\nEAR0qzwfgmB7En5PAuXr1XDgMFpJN3iT3ArmyeskocXp3K9yPp8P3zqL5TgrpT9+5FetdqHn5Jhd\nmPZo5keYcG+yOnmyav719fB7PUbnA0naboPArTn/SbD3+tHajlld+SC4W5386sHj6m1I0iRY5dyt\n1N1Eq8MHgX6zsnuy8nuyOnYT3CPJSt1Ocv6bYH9duD0KyCc/PAMulJ68z4nS+GdUUlzwrPiECgAA\noBITKgAAgEpMqAAAACoxoQIAAKjEhAoAAKDSWav8pm1QQWMqAadBy4yo3UtQZOCKL3ZBW40uqhoK\nqvxMq4rdCNVJkrRe+fYorpokqb5L2i3sg+04bVCFM5v5MfPF8K1zeS+oFJz5f88krU/c9dK2/h7Z\nBpV1ybV7dT38/aSY5+oqaCEUXLtO0r4jeR1XxZdU3EbVp0ELFZmCtnbmr8vJSFVQrrJru/HVdwm3\nnaTFVlJxmBirKs5J3qPSDD9fksq65Nwl3Gu5fZWy1jNJ9aO7LpPn/52v/8x/EwAAAJKYUAEAAFRj\nQgUAAFCJCRUAAECls4bSmxKENc2YdhIEDpOgWpAldBm+pJVLH2RpN2u/M51pw7JZJ8HeJCweBOQ3\nw8H1pMXBGOHHSdA/qDWtUdIxi+XwrXP/nt/G5dLv7zToYLM1dQPRtT1SrxZXuLFa+WshaXfkrv+k\nlU5ybY9VUOFEgfNA0h7FSVqfHEYoCkjavYwRkE/C10mLoSjEbe6jfeeLfBJJ+xTXBifZRvIeJa3S\nku04ybWQHJObD9Tci3xCBQAAUIkJFQAAQCUmVAAAAJWYUAEAAFQ670rpEx9+LMUE64IpYZJr7IJV\nzrdmReokWJ2svOwCt5IPnUcrj48QOJd86DwJ9ibcatLJatPJmCTQ7ALw02mw8nUQOL+Y+zEyY4K3\nUHvTkSDlFr/e7YIgctD9wN1ryQr/SfFBwoVyxyqWSMK/zmwRXHTyY1ZXaztmMh3+8eK+L0l7s6q1\n5FcnT7aRFGWMESg/BIH/sbbTmwfMNPnhGQwZI3CerFSfvE4SKJ/Oh8e002f/nIlPqAAAACoxoQIA\nAKjEhAoAAKASEyoAAIBKZw2lt8UHp9vGBcH964yQmTu9llkFN8gbJqH0JCDpAqrR6wRLaCernLvQ\n+S4IhfZBoN+tAj3WatNJKL0xweldUOSQrGCeLMLtii7Guv7diuyStOmG38ckVz2b+YD2bjH8Xied\nAvbBPbINqlXcpeu6PaT7kigmaLy89PdIVDizDopVJvXHlDwXbCh9pCB4wj2X3fsj+eORxllBPjkv\nEwWrqQdFJG5/k/OSFG5EBSBuXyoemHxCBQAAUIkJFQAAQCUmVAAAAJWYUAEAAFRiQgUAAFDprFV+\niXk7XInQNCO1j4iqBV36v741RMrtSx+UPyZtWBKuWiSpFEwqW6ZN0jZjmKvwkKQmqBSZmHOXtPVx\nbVokqQ9awlwuh7+fVMKOUcEnSev18Ittt0lLpODaNdd/Uu3TmwpiSdpG79Hw/h5GKjJLqo/adnhM\n0uJjLK4qN6ngS6rZDvvhMZOJ30ZS8ZZUovUjVBSO1YalGaEScCyNeQ+ytmH+/Lu2Mscx7nqhyg8A\nAOBsmFABAABUYkIFAABQiQkVAABApRc+lN6Ytg2zNgjKdkngze+LywG6QKiUhWWbEXqFJK/jWsak\n3P6O1fjBBRencx9aX1z4MdNp0r7AhaL9e5gUQiQ2JlCetK9JAufdNmgDYoLGu10QRA6uXWn4oJL7\neR8cT8KF6KN2GEFbjYRvA+XvxqRVVBIibpvhHy9JKL0P2tfUtAp5oltt7JhDUMTgChSSYHXyWEi2\nY5/LSYA+CPQnXEueduKnIsk9khQdzcx2ktZXd+ETKgAAgEpMqAAAACoxoQIAAKjEhAoAAKDSWUPp\nxQTOJWliQ+k+wjcJAnyz4ExsTRD5EIQsmyCsHK3UbVYhHuutPZgwoRSsbN2NE3K9uD+8JPhLLy/s\nNl5+eW7HzGb1K1LPpsH7nBRCBGM6E0pPVkpPAuerVRBoNqHzrvPbSMLKO7Oy/iFYqT4R7IoNnY8V\nOB9DFCaf+mdH8h6NsS/J60zN8yd5naRTg4Kwfj/C6uSNxrlekme3k60gX18UkGxjGvyQTrbjfr4m\nxWV3bvuZ/yYAAAAkMaECAACoxoQKAACgEhMqAACASi/8SuljmAQr3Er1IeJpEESeBatwr4PgemtC\n6cnqwW71WikInAevlYQJJ0EQ9vLecOj8fhA4v3fPBz6nQSjRr5pvN6Eky5lkf93bmIRTk/zqZuMD\nql03fL24MLk0XqDcaZKAti3+kHYmqzzGPZRy93QS8o5W+Q+C9slq3s4hul7qV6qfBGHyrav+CCTH\n04wQbE+M8f7ErzXC9T2d+4dqzSrnT9TsK59QAQAAVGJCBQAAUIkJFQAAQCUmVAAAAJWYUAEAAFR6\n4av8kvY0zqEfp4JmYgoIku4FbhtSVlnkqnVKUNm43/vXSSpBXBVN00ztNmYLP2a+GL5c5zO/r/Og\nrczM74oVFHYpKGxUUvBztTYDdkFbh+CYk+qXEbpQRO2ZXCVg1OIpOJ5SghOzHq7+SqppkzEJ91xI\nqkabYNAYFWLbja+aS6oSXRVlUmW5C9rKJBV6TnQtJC3MggdDb3pOJe9hdo8EY8yDYbaY2W0k1eJJ\n27apqbRP2n3d+frP/lcBAAAgMaECAACoxoQKAACgEhMqAACASmcNpbfFhwV7E0pvRgitS2FY02Tv\n9kFmMWl3MQvC1XsTyk1C6bukJUPSBse0oXCBREm6vD/cVkbyrWUWiyRkaYdEXLY0eZ2Ruo3Y1xrr\ndZJroTGFA8m1sNv554K775NwqmtZImXHnLQ2GcO288HpJIDt7KJQev1FFV0LW/9QdYHyscLvh+AB\n35iqI/f9474EPxcPSRDcFAslRSZB+D0rXBrejvsZIvmipJQ77OS83Pl3n/lvAgAAQBITKgAAgGpM\nqAAAACoxoQIAAKh01lD6pAnCpxoOC06C8HW2L36MWyh3rMBzssqzW+01Cae2ZhuSNOn8mJ058GhF\n3uCYZ8H+Ot0uWHk5CHw6bXBnBYsz63Hnx6w3w+911/ljXq994Ha9ClaTNi+1C1ab7oNctVtxupii\nDUnamBXOpXEC58nq2Mkq0Ml2kjC+k4Tfk7D4GMZaWXwM7dyv5l0TaH4iWbV9jFXOk220STuHQGO6\nfzyvwg5JWiyC9hPPiE+oAAAAKjGhAgAAqMSECgAAoBITKgAAgEpnDaVPiw/fNWY19UXrtzFrp3bM\nZhusGmuGtK3fRrcNgqXJCrYmxJ2s2p5IQq4uUDhWZvQQBFSdbXD+98E/My6Ww+d/7i85rTd+zD44\nee693gVB/GR18s0mCJSb9+gQHM8YIeMkzJyEr31s3V//yYrg7UiB83ZqgsjJsyXZ32BlaxdcT0LR\niYMpdOiTYPWF79SQcIHyZLX1kqzIPsIq58m1MBkplO5WSp8t/AMzeS4sLvz+up/TyTPqLnxCBQAA\nUIkJFQAAQCUmVAAAAJWYUAEAAFRiQgUAAFDprFV+syZo/aDhqonFxLcDWM78mHXnT8XBFEIllXWT\noMVKUok2hrEqflz1UQkqmJLWAwfTTiSrZvNjgstFvWlPE3T+UQn+ObOcJ9Wnw2OmpvJLkuZzvzOL\nhb9HttvhA3ctk6Ss4tBVzq2u/LNlsfSVRcm+uIrbWVARN50FVXPBvrSmxUdis/H7cggu8M16+Nmd\nVGImz0t3LSTVYcmYbu37QK2u6p/dSfVjNMY8FyamCjDlKvgk31ppNvfPlqTKdbH0++Kr/Owm7sQn\nVAAAAJWYUAEAAFRiQgUAAFCJCRUAAEClM7ee8SG/th8Oly4mc7uNi5lvMXEVBEcP/XCYzXRAkCTN\ngoDwNuh30fhDem5cuDQJnE+C8LsLlK/XFWnCG5IWQi5QHhyybWUkSUlu1I8JjicoUNjugsIBk8lN\njtl074hsXvKPtiBLq12wL77djt9G0oWl64I2ROYNGKsNUdv68+uC9tvOPzC7YIwLlCedRFzLGClr\nw9KaMX1wMbhtpFzoPDmeJrgwm6AQYmpC566wQ5JmM/86F0EofWqf78FD6g58QgUAAFCJCRUAAEAl\nJlQAAACVmFABAABUOmso3QXOJWnSD4cFl83KbmPZLu2Yi1mwavJ+OPCWBIjNJmIuxJesmLwzq1pL\nWVjZjUlWuHVhWsmvwp0EWKPjaZLbYviYzMLAxy0E/5yZNM9n1fwkRJ8UXezNCvLB6VewgLZdiX4z\n8y801jHXhFg/8TpB+L0Uf2KuV8M7HBVCjLDauiRtNsNv0vWVL0rq1kGFjrEPVnVPVkpPuOdLssJ5\nE1RLJB0sZovhgq0kTO66MEjSdO5/drrCpDb44bm88A/V+Uj3/bPiEyoAAIBKTKgAAAAqMaECAACo\nxIQKAACg0llD6U3vE5/tYTi4mGzjMgilP5r6Fdfnu+HAW7KS9C5Z+TpYqdstuNsHgcN2Wr/ytSRt\nu+FEbRKgTALyLjiahNKTfUnC4uvL4TcyCnMGd1+ygvxiNnxeXFBcysLXyRgX+ExC9m4V+tOowe8m\n4esgqxxJQvROtJp3tMq5WSk9uc+CA9rv/ZhHrw0XDD16cO33JTgxxbzZSSFKIjkvLuhdtn5fxlop\nvQ26fzhNEBafLXwofXk5/PM1WQV9HowJastG6eZw59999r8KAAAAiQkVAABANSZUAAAAlZhQAQAA\nVGJCBQAAUOmsVX7Tw8aOmXePhwcElReXlxd2zKK9Z8d0pipus/Xz003QSWExD6rvXJlfIGkxkVTz\nuNYy+13Q4iYorej74TGHqMVEfSsdyVeIXa/GqWZLqvyuVq4NkX+dpOJtW98FJDq3SaWO28zaP1qi\nazupvjuM0Lak6/w21mtfZtl1w2/kOmjlst3413GVvZK0uhp+E1aPfduw5J52z5+sNYqvZuuDZ66r\nSkyec01QZjxG5WLSBse1jJGkadBna3kx/B7cuxdUCi6CVjnBM9V1cKopsuQTKgAAgEpMqAAAACox\noQIAAKjEhAoAAKDSWUPps61vPTBdPxz8ft/4MKFrXyNJy9aPWU2GT9d86kOLq02yxL4dErUTcSaT\nICA88+d3bYKLu4MPuSbh060J3CaSkGXSBsEFmnc+sxvyYWXXEiNpZZS0NdkGY5w+eAuT/XVjxmjT\nImWFAwdzLbiguCRtg7ZJ3TYIi5tA+eOHPgieBM6jwo3t8Haie37jn8tNECh3+mlQoBDsrysWGitw\nPlv6HxIuIJ+EyadzP2YWjLl/fzh0fv+efw8vfQc5BZ1ybKHJxTx5zj39PeITKgAAgEpMqAAAACox\noQIAAKjEhAoAAKDSWUPpbXdlx5R9fbp3tl/7MRO/gvB0Mhw4nLY+zBYs2qsge6qZCeUm4d/dLglI\n+mOamuC6C01L0iZYwdlJVr4eK6B9dT38JrlAaCpZzd4VF2yCla+T4HRyft17nZyX1nQkkPx52QWr\n8++2Qcg4eBtdoHyXhMmDIHhyj3RmzPraPwuT92iMFb+T8HUyxq1gnhxPMmaM7hTJ8TTRPR88u82z\nLnmdRRB+d6ugS9JyOfxay4XdhO5fjPNMnTTD21nOkvf56cfDJ1QAAACVmFABAABUYkIFAABQiQkV\nAABApbOG0ic7vwquzEroSWi93fkg5rT121lMhsesGn86F7MglBuE0nf74cDhoffhx/khmU/7gJ4L\nRSfB6vUIIe4gJ6t26pfS3az9tbA3+5sEnpNVuNtg6V93fpOigCSUmwS97QryQUA72V8X7k22kexL\nMsaFxZMVtndmVXFJ2gSB8u2mvrjDhbwlqQmuyzHeo+S6nEyHn7uHvX8P9yOE7CV/zEmYvzXHI0lN\nEEp3z7pkpfRFEDi/Z1ZBl6TZdPi4L+Z2E5oFRV+z1l+7y+nwvTYJCrGkpx8zn1ABAABUYkIFAABQ\niQkVAABAJSZUAAAAlZhQAQAAVDprlV/SH6U3VX6Tva9qmew2dsys+DHTyXLw+656QJKCwhatt36e\na1vPBK9zOCStH/y+rFbD75FrzZFylS2zub+cXZscyVfwSb4SMKkOSzSNv6Zmi+HjboJ2F0lbmaQ9\nyt5UtEXVhMG5c6+TVdYlVX7+mF1lXVRx2Pnn2D7Yl4Nt/RM8c6N+O35fkoo2p536CrLGvE4JqvOS\n6yWpvnOSljFJZW+ynfli+Nxd3POldfO535eLpR+zMC+1nPvz71q/SdIiqNa/Nx2ulm2bpPXMxVO/\nyidUAAAAlZhQAQAAVGJCBQAAUIkJFQAAQKWzhtLLIQjuupClCa1LUnPwgc/L7Wt2TNcOJ+t6n5+U\ntLAj+mBDG/POBRlLBdlH20pBki4vhzfUdUH7lKAljBuzMOHs4zb8vyG6rj64O1ZbjeQWceflIP86\n+6CtTDdCcUHSGiVrgzO8L8k21kErlygI7q6FIAiehKL3QQsVd9xJG5ZEckwuDO5axkhZixV3/pug\nfdbMpaaVhexdAchsMbPbmAbFNUko3YXOLy6C1jOLpPWVHSLX5eZy7q/LJmgJ0zR+zHwy/AwqwfPy\nztd/5r8JAAAASUyoAAAAqjGhAgAAqMSECgAAoNJ5Q+m7zg+aREnvQU2Q7J3uVnbM/ebV4QHB2dz3\nPuTX7f2YWTs8F05WQTe5XklSCcLtbqXixdKfmN3OhzUnI7xOEixNQun2dZLVyaPgehAW3wwHp5PA\nv1t5XJKSha/ddsZYPVsKzm/wT8UmWEE7iXC763+7fT6Bc8mHzvfBTe+OZyzJCubJmImprpnO/M+Q\n2TJ4/gRBcGcZrE6ePDuSrhCt+RlxcRH8nJn5Y046MbgCqGnjr8tlsAp6CYLr0+K386z4hAoAAKAS\nEyoAAIBKTKgAAAAqMaECAACo9MKvlF56E3LdBUG1vV+duQ1WXF+a7+8XPvy4DZaVXe2CEKVd8TsI\n3AbB9WBha7WtWR04WJ384sIf8zTYjrMPgr2TSRCyNEHvJOSdvE6wgLl2ZlCyCndwWkaRBauDlepN\noP+QhK+DkHESinZB76SwIJEE+ou5p5PAeRQWD4LIdqX0SdCqIeDex+ncP1uSwHlyvbjXmgc/I1yY\nPB0zN6ucJ8/Ti2V94Pw4Zvh+nU78PXJvem3H9PL7O9HwnCEJtt+FT6gAAAAqMaECAACoxIQKAACg\nEhMqAACASkyoAAAAKp23yi9ot6CDqeJLqvyCapJ2c+X3xVS2LBt/OvdBy4DrdmHHJO1pvHGqeTad\na73ht3F56Y/HVaXsdr46Y7MZp/qumFOXVFONVPxl7bb+PjsEbXCSFhNuO0kFX7K/TlJl+bxMpkFL\npGB/S7Cdw8S0ngmeuUmVX8JdL0nVXBscs6usi6rzZv51mqCc7eJyuIVNUp2XtJVJKvTmpm1M0kkn\nOC1Rld98OvxcKPLPn3nZ+BcKuCq+VkFp+x34hAoAAKASEyoAAIBKTKgAAAAqMaECAACodNZQunb1\nIbOyCwJkKx84n2z8svauVc5uemG3MT34Y75o13bM7jA8F26DgPyk+DThofdjVtPh8Glnvi9lgWfX\n4ibR934b263/d4ZrVeFa00jSPugrk8QjXZuVpGWJ9j4UmrXTGT4v9XHzTNJKJAm/J0UZLjjt2uRI\n47Wn2ZrWPm0QOE9C3MkxuXM3nQ8HuKUwlD4bDqVPk5B3MGZpAueSNDfbiQpegmuuCbYzm5nznzyX\ng49cgrdIs7b++m5K8PwxbWUk6aDhZ7P7/hA+oQIAAKjEhAoAAKASEyoAAIBKTKgAAAAqnTeUbgKU\nkW3nxwSh9GQ19aYxY15+t99G74Ow88YH1xftcBBzYlaDlaQmGJOEuNfz4fOy3yeBcztEPgebBD79\nvyG6Lli11xzzbusDlElwfdIF4WpTLJHog3sxWeXcbecQvM5YAW2nCVatngRFGXtXFJCEjJNV0IPz\n71cNH6PDwlih9OF9Tce4+2ix9GHyxYV/nYtgzHQ2vC/JfZaYBIUmrQmuJ5dC8IhSO/HHNGmGxyQ/\nrxLtwZfxlH745+u+8e/zXfiECgAAoBITKgAAgEpMqAAAACoxoQIAAKh01lB6CVYn77vh0HkfrJTe\nb4P1pmdzO6R0wyuYT3Z+hfMmWE09WRF21gwf0yTYRgmCgIcglP7y5fD351M/b99s/eu4TG6S90zC\nnLtdslL0cFqz6/z535kws5Stct60w/uSLJQ+1qrhLqychJkTbtX25LxFQfwRAvLRSvWB2cKHq8d4\nraRrQXK9uLD4JFkFPVjB3IXOL4IVzhfL4HUWfoyreekP9feQlHWNcGOSS2Xa1gfOE8nPvD4oOjoE\n3T9aUxg2CYLtd+ETKgAAgEpMqAAAACoxoQIAAKjEhAoAAKASEyoAAIBKZ63y6x89tGMO6+HKuX4f\nVCcFa+yXSXAqTFVQu37sX2fxVjtmIn9MkzI8ZlZ8pUJbdnZMUdBiwoyZBuc2qQS83gyPSQrItv6Q\ntVz4fdluh19sGVQNXV8n1Tz+2u0PwweVVH5NJv6YD0E1z2E3XK0znfnzsguqzEpTX33XJ5WwFW0o\nxrZY+kpkV/04lqQlzMRU+c2CayG5Xuam+m4ZtIyZzfz1n1TW7c3PiKSCrzEtYyRpNquv5gweLQpu\nRe2DykVnNvEP5lZJW5mgPdNuFe3Ts+ATKgAAgEpMqAAAACoxoQIAAKjEhAoAAKDSWUPpB9NWRpIO\n640ZEARLlws7pt8HAe3DcBC82Zl9VRaIayd+f9syHLScBqH0WfH7206DgLwJCLeND9MefHcITScu\nXPkTOEAAAAFASURBVDrO5ZwEMTfd8KD9Pgm5+jGLIFDrJEFl1yZEkjbroNDBbGesNiwHs52kTU6y\nL4fg3D2vIHjyHj2v818af+3OTduY6Tw4niA5PTfbcd+XpEkQBB+pa5I1TdrKBPvbmsdh8BZGktYz\nrfkZMWv8XKAEb8C+8T8DWvdzOvkBcAc+oQIAAKjEhAoAAKASEyoAAIBKTKgAAAAqlWTlVgAAANyN\nT6gAAAAqMaECAACoxIQKAACgEhMqAACASkyoAAAAKjGhAgAAqMSECgAAoBITKgAAgEpMqAAAACox\noQIAAKjEhAoAAKASEyoAAIBKTKgAAAAqMaECAACoxIQKAACgEhMqAACASkyoAAAAKjGhAgAAqMSE\nCgAAoBITKgAAgEpMqAAAACoxoQIAAKjEhAoAAKASEyoAAIBKTKgAAAAq/X9LBCnwVy6dIQAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83d6824e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4PbhuQzBmXHxwvYvg4b1M28VaklQOjza/PxyDYHsSBF/9mB4rpZckLB4cbzE/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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83daf4b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2QulLUVfUZLSeGa1Quj4v41QeMwzOnOP+MXxDBQAAUIkJFQAAQCUmVAAAAJWYUAEAAFQ6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\nSv8/vgTK2MayOrAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83d68a5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YBPfiENwjyf16bq7dvklWSvfPsbNNPdH8c807Z29DkvrWX3Ou48DVsV8p/R3b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\nAADMxIQKAABgJiZUAAAAM/3/bEfUe+WyqP0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8396fa6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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14ff2zIfb3fVdBh9ETkLcKxO0T4p8SnAtKChQcMd7MO1gJGnf+Pdo3/vXdDDX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\nqAAAACoxoQIAAKj0/wNga8S5nAK39AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb838271f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5dqzvkUHc0ndO9TZa45/Zxwv9jNrk8jPqsDmV2ximZ2Sb97xUPmC1HE9ExHym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\npf8fg7faAvA0+aIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8381d1c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5mmE4IqIp88uooHhERG+klZ33s4/Q+b6244SV98Gb8fvFBJEVp7DACeU6s0CrYhRnO7XR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\nAICBGFABAAAMxIAKAABgoP8fnqGZQKNpZfYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8381abc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uMbPmBwUXb794l23TPPUxts3Dvl4skXzO7BSsGjHUC6Qk6ei8/h4tHvr3efdW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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb838184e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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d5Q1V9eXcl9vG7/BuW95hF1qXpH7wz3O28/fd3bw85qBZ221chG+oAAAAJmJCBQAAMBET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\nAJiICRUAAMBETKgAAAAm+v8Ba4GQ4ySqlowAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8380d47b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "principal_vectors = pca.components_\n",
    "\n",
    "for i in range(9):\n",
    "    cvec = principal_vectors[i]\n",
    "    max_mag = np.max(np.abs(cvec))\n",
    "    view_as_image(cvec, cmap=\"coolwarm\", vmin=-max_mag, vmax=max_mag)\n",
    "    plt.title(\"principal vector {}\".format(i+1))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Principal vector 1 affects most of the face in the same overall sense and so adding or subtracting a little bit of it from an image would tend to change the overall apparent brightness and so this vector is likely related to the ambient lighting conditions and/or skin tone. \n",
    "\n",
    "Vectors 2 and 3 and 4 have a kind of di-pole look to them. Vector 2 looks like almost a pure linear shift just shifting the face a little to the left or a little to the right without much affecting its pose. Adding a little of vector 3 looks like it would effectively shift the face a little up or down. Vector 3 however doesn't look quite like a linear shift but looks more like a change in the inclination of the face since the action of vector 3 would strongly change the lightness of just around the eye sockets and on the cheeks but much less strongly affect the heavily shadowed parts of the face this is consistent with the changes in facial shadow that one would expect to come from inclining the head. Likewise vector 4 looks as though it might adjust somewhat for a left right change in pose what we might expect from turning the head a little instead of a simple left right shift as per vector 2.\n",
    "\n",
    "The components get progressively less clear in terms of interpretation but vectors 5-9 clearly have a strong connection with whether or not the subject is wearing glasses and all the changes to the face that that might entail both including the glasses themselves and changes to shadow and/or different specular reflections off the glass. \n",
    "\n",
    "\n",
    "It is important to note that interpreting the \"meanings\" of principal vectors is a tricky business and there is not really any one \"right\" interpretation. Since we didn't inject any context in to the generation of the principal vectors we shouldn't expect that they will correspond to humanly meaningful concepts in any real way although sometimes that seems to happen by luck. This is especially tricky as we move to higher and higher principal component numbers since increasingly the interpretation of the actions of these components must be done in light of the previous components. \n",
    "\n",
    "Instead of assigning any semantics directly to the principal vectors and/or their associated principal component values I would advise you instead to look to the principal vectors for inspiration. For example the 2nd principal vector above very strongly looks like the change that would occur from a left/right shift of the face this could be a strong indication that our system for centering our faces could be slightly improved to remove these shifts.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Empirical Noise Modeling\n",
    "\n",
    "The data as we have been dealing with it up till now is essentially free of noise. However it is frequently the case in real world applications that the data we are looking at is extremely noisy. Usually we are not given any indication of exactly what sort of noise to expect in our data but instead we must somehow figure this out directly from our data.\n",
    "\n",
    "One possible answer to the question of how to determine the amount of noise in our data is to use PCA! One classic aspect of PCA that we have not as of yet mentioned is that we can look at the fraction of the data variance which is captured by each of our components. Usually the convention is to look at the cumulative sum of the captured variance. Conveniently there is an attribute of the PCA object called .explained_variance_ which we can use to analyze the amount of data variation due to each component. This is not any different than simply taking the variance of the features after transformation into PCA space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.testing.assert_allclose(np.std(transformed, axis=0)**2, pca.explained_variance_, atol=1e-7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_variance_curve(pca_result, ax=None, cumulative=True, normed=True, **line_kwargs):\n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots()\n",
    "    \n",
    "    cvar = pca_result.explained_variance_\n",
    "    if cumulative:\n",
    "        cvar = np.cumsum(cvar)\n",
    "    \n",
    "    if normed:\n",
    "        cvar /= np.max(cvar)\n",
    "    \n",
    "    x = np.arange(1, len(cvar)+1)\n",
    "    ax.set_xlabel(\"principal component #\")\n",
    "    ax.set_ylabel(\"Captured Variance\")\n",
    "    \n",
    "    return ax.plot(x, cvar, **line_kwargs)\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This looks like a classic \"good\" PCA captured variance plot most of the variation of the input images can be captured in only a small fraction of the total number of dimensions of the input data. One thing you might be thinking is \"Hey! there were 4096 pixels in the input how come there are only 400 components?\". Well there are only 400 input images in this data set and so 400 components suffices to capture all the structure exactly. We could extend the basis of principal vectors out to be a complete basis of all 4096 dimensions but after the first 400 dimensions there would be no meaning to the way in which we ordered them. \n",
    "\n",
    "Although the fraction of captured variance goes to 1 in this plot that is really more an artefact of our limited sample size than anything else. Just as any 2 points fit a line perfectly any 400 points fit a 400 dimensional hyperplane perfectly (doesn't roll off the tongue quite as nicely does it?). Sometimes in regard to PCA you will hear someone say that the principal components \"explain\" the variance. As evidenced by the fact that the attribute name of the sklearn PCA object is called explained variance. Note that I have chose to call it \"captured variance\" instead which is much more accurate.\n",
    "\n",
    "This may seem two faced since just above this I suggested that the principal vectors of PCA were suitable for \"semantic factor discovery\" and now I seem to be suggesting that they have no meaning at all! what is going on here! It may be a subtle distinction but it is we who give meaning to the results of our analysis not the analysis itself in the case of the facial decomposition that we did above it is clear that it would be posible to interpret the values of some of the principal components are physically suggestive. For example the value of component 2 will correlate to a left right shift of the face and the value of component 7 will correlate with whether or not the person in the image is wearing glasses. However I want to stress again that this was a happy accident and not something intrinsic to the analysis technique itself. It is our interpretation of these vectors that give them their meaning. \n",
    "\n",
    "To see that it is an overstep to say that our principal vectors \"explain\" anything consider what happens when we apply PCA to pure white noise. Because there is no true underlying correlation between our input variables the resultant PCA expansion will be nonsense. By pure happenstance however random statistical fluctuations will make it so that our data appears to have a greater amount of variance in some directions than others. The more dimensions we have the more evenly the variation will be spread out among them all and our captured variance curves will look less and less impressive. To illustrate this effect I have generated some random noise with the same number of samples as our faces dataset in various numbers of dimensions (including our case of 4096) and plotted up the results for comparison."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb8380d8160>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MHjzY6jhOTQo+YZn9+02rnre3TNK4k8jYSIauG8qm85v4odMPPFn1SasjuZf4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TAAAg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\nBEEQBEFQcSLgC4IgCIIgqDj/B5CmuY97WOk3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8380b89b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "npts = len(faces)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "for n_dim in [100, 200, 400, 4096]:\n",
    "    x_random = np.random.normal(size=(npts, n_dim))\n",
    "    pca_random = sklearn.decomposition.PCA()\n",
    "    pca_random.fit(x_random)\n",
    "    \n",
    "    line ,= plot_variance_curve(pca_random, ax=ax)\n",
    "    \n",
    "    line.set_label(\"# of Dimensions = {}\".format(n_dim))\n",
    "\n",
    "plt.plot([1, npts], [0, 1], linestyle=\"--\", c=\"k\", label=\"Idealized\")\n",
    "plt.title(\"PCA of White Noise\")\n",
    "plt.legend(loc=\"best\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Take Away:\n",
    "\n",
    "* <b> For small sample sizes and/or small number of dimensions even complete randomness can make a captured variance curve that looks good! </b>\n",
    "\n",
    "However lets suppose that we are operating in the regime where we are considering only k principal vectors with k << N and/or k << D. In this regime we expect white noise to look essentially like a straight line in the cumulative variance plot. \n",
    "\n",
    "Variance is additive whether do to structure in the data (signal) or random statistical fluctuation (noise). Therefore the variance curves that we look at for any given real dataset can be thought of as a sum of a signal variance curve and a noise variance curve. That means that he the analysis of the behavior our the tail end of our variance curve can give us a robust estimate of the amount of noise present in our data. To see how this works lets intentionally inject different amounts of noise into our faces dataset and look closely at what happens to the cumulative variance curves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "signal_to_noise_ratios = [0.5, 1.0, 2.0, 4.0]\n",
    "\n",
    "noise_realizations = []\n",
    "noisy_faces = []\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    #generate noise of the right magnitude\n",
    "    noise = np.random.normal(size=(faces.shape))\n",
    "    #note that we divided our input data by its standard deviation on input\n",
    "    # therefore the signal variance is == 1.0\n",
    "    noise /= signal_to_noise_ratio\n",
    "    \n",
    "    #add noise to the data\n",
    "    noisy_faces.append(faces + noise)\n",
    "    noise_realizations.append(noise)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2wB+oHA6Hw+FwOA4QOZvyuz+vfjjSCM/drGmYaz+B7wh6562fpL2ZSrQHT0cK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83808e9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, face_axes = plt.subplots(2, 2)\n",
    "face_axes = face_axes.ravel()\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"SNR {}\".format(signal_to_noise_ratio)\n",
    "    \n",
    "    ax = face_axes[snr_idx]\n",
    "    view_as_image(noisy_faces[snr_idx][0], ax=ax)\n",
    "    ax.set_title(\"Example \" + label_str)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "looking at the example faces with different amounts of noise injected it is striking how at a signal to noise of 1/2 it is practically impossible to even determine that the image we are looking at has a face at all. While at a signal to noise of 4 the face is already quite dominant. Lets carry out PCA on each noisy dataset and see how things change relative to the noiseless case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "noisy_pcas = [sklearn.decomposition.PCA().fit(noisy_data) for noisy_data in noisy_faces]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb83827d470>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fypYti4+PDx07dmTNmjVpdfz8/HBzc2PevHnpjg0MDEw3Gz84OBg3N7e0zdvb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\nP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WeeeSYvv/wyDzzwAJ9//jnnn38+TZo0AWDjxo38/PPP7Nmzh5dffpkzzjjD5WiVr59+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\nKaWUUkpVcJrwKaWUUkpVcP8PjCLrqIWiF4gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83d69cb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2)\n",
    "axes = axes.ravel()\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"SNR {}\".format(signal_to_noise_ratio)\n",
    "    \n",
    "    line ,= plot_variance_curve(noisy_pcas[snr_idx], ax=axes[0], normed=True, cumulative=True)\n",
    "    line.set_label(label_str)\n",
    "    \n",
    "    line ,= plot_variance_curve(noisy_pcas[snr_idx], ax=axes[1], normed=False, cumulative=True)\n",
    "    line.set_label(label_str)\n",
    "    \n",
    "axes[0].set_title(\"Fractional Variance\", fontsize=16)\n",
    "axes[1].set_title(\"Unnormalized Variance\", fontsize=16)\n",
    "\n",
    "line ,= plot_variance_curve(pca, ax=axes[0], linestyle=\"--\", c=\"k\", label=\"Noiseless\")\n",
    "line ,= plot_variance_curve(pca, ax=axes[1], linestyle=\"--\", c=\"k\", label=\"Noiseless\", normed=False)\n",
    "\n",
    "plt.legend(fontsize=14, loc=\"best\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at the fractional variance plots as we have been doing up to this point we can see that for the highest signal to noise data the captured variance curve is very similar to the noiseless case for low numbers of principal components and then approaches a slow nearly linear curve which takes us up to 100% of the data variance. However what is really going on here is somewhat masked by normalizing the variance to add up to 1 regardless. \n",
    "\n",
    "When we add noise into our dataset we are increasing the total amount of variation present in our data. I can't let this opportunity slip by without giving voice to a small rant;\n",
    "\n",
    "<b> Variation is NOT the same as information! </b>\n",
    "\n",
    "I am not completely blameless here. I admit that when I am explaining PCA to someone who has never encountered it before I frequently will use the words \"PCA helps you pick out the most informative directions in your data.\" I do admit that this is a helpful way to think about what PCA is doing. However I want to stress again that the relationshp between variation and information is a purely hueristic one and one should be careful to always keep in mind that PCA is looking at variation it requires a more powerful mind to turn that into information. While this example is slightly contrived (since who wants to intentionally add noise into their data?). This is a perfect example of how variation and information are very different. There is a lot more variation in the lower signal to noise data but there is <i> less </i> information overal. By injecting so much noise into our dataset we have doubtless <i> destroyed </i> some of the information that used to be present! Also I want to head off a common potential mis-understanding you might think that you can partially avoid this problem by moving from looking at covariance between inputs to looking at correlations between inputs. After all perhaps variance isn't information but clearly correlation always signals shared information right? Unfortunately this is emphatically not the case. Moving from covariance to correlation is exactly the same as rescaling each input feature by its variance prior to carrying out PCA (sometimes called whitetening your data). Moving to correlation space does not make your principal components any more meaningful. In fact in this particular case because we have an equal amount of noise variance in every input pixel but the amount of signal variance is dominated by the pixels where there are interesting facial structures whitening actually hurts us. The features which are nearly pure noise are rescaled by $1/\\sqrt{noise\\_level^2 + 0}$ but interesting pixels with high amounts of variation are rescaled by $1/\\sqrt{noise\\_level^2 + signal\\_variance}$ effectively systematically ignoring our most useful input features! That is not to say that pre-whitening is never the right thing to do. Sometimes you are dealing with data in which your input features have drammatically different scales in such cases something must be done to normalize them and dividing by the column standard deviation is as good a place to start as any. But don't always whiten without first giving it a little thought and especially don't whiten when you are dealing with lots of measurements which are all interpretable on the same scale (e.g. your input features are pixel intensities in an image). OK rant over now back to the task at hand.\n",
    "\n",
    "Now you might suppose that because the facial structure in the noisier images is only barely perceptible that the principal vectors that its corresponding PCA found would also look essentially like noise (garbage in garbage out as it were). After all if we look at the fractional variance curves it is clear that the amount of variance present in every principal component is dominated by noise variance. Lets look at the principal vectors and see how they look as a function of signal to noise. I have picked the second principal vector because I think it looks rather striking.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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g4p8Mt4n7x5SmHBVohUgxDsP734jXRzFPzLBlKQZskCeh1TwJ7bkkrDqF/XWw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\noUokEolEIpG4EflClUgkEolEInEj/g8wxk+PI/p8kAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8381974e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2)\n",
    "axes = axes.ravel()\n",
    "\n",
    "principal_vector_number = 2\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"Principal Vector {} SNR {}\".format(principal_vector_number, signal_to_noise_ratio)\n",
    "    \n",
    "    ax = axes[snr_idx]\n",
    "    comp = noisy_pcas[snr_idx].components_[principal_vector_number-1]\n",
    "    mag_max = np.max(np.abs(comp))\n",
    "    view_as_image(comp, ax=ax, cmap=\"coolwarm\", vmin=-mag_max, vmax=mag_max)\n",
    "    ax.set_title(label_str)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Even though the noise in the individual images is almost overwhelming for the lower signal to noise images in fact the principal vectors we recover are extremely similar regardless of signal to noise. In retrospect we might have expected this since the noise has no consistency between face image samples and so will get attenuated by having a large number of samples. In this case we have 400 samples and so can roughly speaking expect an increase in signal to noise in our principal vectors of around a factor of $\\sqrt{400}=20$. This is somewhat of an overshimplification since the signal variance is not flat for all components but actually drops off very rapidly at higher dimensions. Therefore the higher order principal vectors fare considerably worse.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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c4j4ymc+PM8mgoMo7VIVo2WdytKXrVPX1eJqsRTRE1qizmvN2Kj+7bh7YSav/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\nqroU5BeJDgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb82b747320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2)\n",
    "axes = axes.ravel()\n",
    "\n",
    "principal_vector_number = 10\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"Principal Vector {} SNR {}\".format(principal_vector_number, signal_to_noise_ratio)\n",
    "    \n",
    "    ax = axes[snr_idx]\n",
    "    comp = noisy_pcas[snr_idx].components_[principal_vector_number-1]\n",
    "    mag_max = np.max(np.abs(comp))\n",
    "    view_as_image(comp, ax=ax, cmap=\"coolwarm\", vmin=-mag_max, vmax=mag_max)\n",
    "    ax.set_title(label_str)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MMrU86WYVbM92rWzAXLKzKsnZekMpZ6A5wtlzYQcTK1orOKPMD5Nh05dyKRnl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\nmCt4uwd5Pv1VrF5ecJCr1bdOJf05mmGor3KElYwbfKSylVbOVq8O3h4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PzWJ5ie5c+rSq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7+NVGj7FApPi5++G3ZqMdfOyjgYWmv0k67c1kJq+qoq0u6/28twyrIpFASHXKSqM0K2cVIHQ4PJ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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb82b74c8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2)\n",
    "axes = axes.ravel()\n",
    "\n",
    "principal_vector_number = 50\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"Principal Vector {} SNR {}\".format(principal_vector_number, signal_to_noise_ratio)\n",
    "    \n",
    "    ax = axes[snr_idx]\n",
    "    comp = noisy_pcas[snr_idx].components_[principal_vector_number-1]\n",
    "    mag_max = np.max(np.abs(comp))\n",
    "    view_as_image(comp, ax=ax, cmap=\"coolwarm\", vmin=-mag_max, vmax=mag_max)\n",
    "    ax.set_title(label_str)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets return to the variance curves for a moment and remember that ostensibly our goal goal is to empirically determine how much noise is present in our data.\n",
    "Each of these curves is in fact really just a sum of two curves the signal variance curve (which does not change regardless of the amount of injected noise) and added on to that a noise variance curve which has been scaled by the amount of noise variance we have injected. Variance is the sum of the squared deviations so adding a noise term of magnitude 2 times that of the data (signal to noise = 1/2) will add $2^2=4$ times as much variance as present in the noiseless data. Looking at the unnormalized curves we can in fact see that the total variance present matches our expectations with the variance present in the signal to noise 1/2 data being roughly $1^2 + 2^2$ = 5 times that present in the noiseless data and that present in the signal to noise 1 data is roughly 1^2 + 1^2 = 2 times as much etc etc. Lets make this a little more rigorous and compare the actually observed curves to the sum we are suggesting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise_pcas = [sklearn.decomposition.PCA().fit(noise) for noise in noise_realizations]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb83851f470>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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12bp1K2XLlmXPnj1A3Hvr1asX586dw9/fH39/f86dO8fVq1epWrXqC8+5Zs0a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\nREREUkKJpYiIiIikhBJLEREREUmJ/wfGN+wiKnYZyAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb83d6a29b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "for snr_idx, signal_to_noise_ratio in enumerate(signal_to_noise_ratios):\n",
    "    label_str = \"SNR {}\".format(signal_to_noise_ratio)\n",
    "    \n",
    "    line ,= plot_variance_curve(noisy_pcas[snr_idx], ax=ax, normed=False, cumulative=True, c=\"k\")\n",
    "    summed_variance = noise_pcas[snr_idx].explained_variance_ + pca.explained_variance_\n",
    "    sum_line ,= ax.plot(np.arange(1, len(summed_variance)+1), np.cumsum(summed_variance), c=\"k\", linestyle=\"--\")\n",
    "    \n",
    "line.set_label(\"PCA of Noisy Data\")\n",
    "sum_line.set_label(\"Sum of Noise PCA + Noiseless PCA\")\n",
    "plt.legend(loc=\"best\", fontsize=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the sum of the noise variance alone and the structure based variance we get from doing PCA on the noiseless dataset are very close. The because of the nature of the PCA algorithm it tries to push as much variance as it can into the lower components and even in the case of pure noise it is able to do this a little bit. That is why the sum of the cumulative variance of the PCA of the noise alone + the noiseless PCA tends to be above the curve for the noisy data. When we are taking the PCA of noise and data jointly we have less freedom to overfit and so the captured variance curve is a little flatter since we have to split the difference between capturing noise variance and signal variance. \n",
    "\n",
    "I have shown that the PCA captured variance curve is very nearly the sum of a noise only term and a signal only term which is interesting but not particularly useful. Lets put some code where my mouth is and see if we can reverse engineer the signal to noise of the data directly from the variance curves.\n",
    "\n",
    "Now here unfortunately we are posed with a dillema which is in the strictest sense unsolvable. Namely our data could have any sort of variance structure imaginable such that our cumulative captured variance curves could take the shape of any monotonically increasing curve. Luckily for us however in practice the true underlying signal variance curve tend to look similar to each other even for extremely different types of data. We want to make as few assumptions as possible about the shape of our signal variance curve since those assumptions will bias our findings. However one assumtion that very often turns out to be true in practice is that the underlying signal variance is very low dimensional relative to the total dimensionality of our feature space. In that case that means that the variance captured in the highest order principal components will be almost totally noise dominated. \n",
    "\n",
    "To state this more formally we expect that for component index i sufficently high we expect that roughly speaking the projected variance $V_i$ (as opposed to the cumulative variance) should roughly obey the relation,\n",
    "\n",
    "$$\n",
    "V_i \\approx Noise^2\n",
    "$$\n",
    "\n",
    "Annother way of saying the same thing is that the slope of the cumulative captured variance curve should eventually approach a slope which is proporitional to the squared noise magnitude $Noise^2$. In order to turn this into signal to noise ratio we would also need to somehow estimate the signal variance. This is rather a fuzzy concept in real world datasets since there is almost never going to be a clear answer to the question of where the signal components stop and the noise components begin. We will dodge this question for now and simply assert that the \"signal\" variance of our data is equal to 1 per pixel because we divided it by the global standard deviation of our data as we loaded it in. Obviously in real world data we cannot first normalize on signal only and then add in noise afterwards (wouldn't that be nice?) so deriving a signal to noise may not be possible. However it is really the amount of noise in our data that we should be interested in anyway since it gives a concrete answer to the question \"by how much can I expect a given pixel to vary in intensity due to noise alone?\" or equivalently \"About how much intensity variation can I safely ignore?\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True Noise   Predicted Noise\n",
      " 2.00         5.62\n",
      " 1.00         2.91\n",
      " 0.50         1.57\n",
      " 0.25         0.92\n"
     ]
    }
   ],
   "source": [
    "variance_slopes = np.zeros(len(signal_to_noise_ratios))\n",
    "\n",
    "k_start = 200\n",
    "k_end =   399\n",
    "\n",
    "for snr_idx, snr in enumerate(signal_to_noise_ratios):\n",
    "    cum_var = np.cumsum(noisy_pcas[snr_idx].explained_variance_)[k_start:k_end]\n",
    "    line_coeffs = np.polyfit(np.arange(np.abs(k_end-k_start)), cum_var, deg=1)\n",
    "    cslope = line_coeffs[0] #numpy polynomial format is highest power first\n",
    "    variance_slopes[snr_idx] = cslope\n",
    "\n",
    "print(\"True Noise   Predicted Noise\")\n",
    "for true_snr, pred_noise in zip(signal_to_noise_ratios, np.sqrt(variance_slopes)):\n",
    "    print(\"{: 5.2f}        {: 5.2f}\".format(1.0/true_snr, pred_noise))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Treating the noise based variance as being completely flat gives us an at least reasonable estimate of the signal to noise of our data but turns out to be an overestimate. We could have guessed this from looking at the pure noise captured variance curves earlier which are all noticeably curvier than straight lines. In particular because our datset has fewer examples than there are dimensions in our feature space we are always guaranteed to get a perfect representation of our data by the last dimension and this tends to anomalously flatten out the captured variance curve as our component number approaches the total number of sample observations. We may be able to improve our estimates a little bit in principle by avoiding the very last few components and instead look a range in the data with a high enough component number to have nearly no signal variance but still far enough away from the number of samples in our dataset to not be too heavily affected by our small sample size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True Noise   Predicted Noise\n",
      " 2.00         6.68\n",
      " 1.00         3.48\n",
      " 0.50         1.93\n",
      " 0.25         1.25\n"
     ]
    }
   ],
   "source": [
    "variance_slopes = np.zeros(len(signal_to_noise_ratios))\n",
    "\n",
    "k_start = 100\n",
    "k_end =   250\n",
    "\n",
    "for snr_idx, snr in enumerate(signal_to_noise_ratios):\n",
    "    cum_var = np.cumsum(noisy_pcas[snr_idx].explained_variance_)[k_start:k_end]\n",
    "    line_coeffs = np.polyfit(np.arange(np.abs(k_end-k_start)), cum_var, deg=1)\n",
    "    cslope = line_coeffs[0] #numpy polynomial format is highest power first\n",
    "    variance_slopes[snr_idx] = cslope\n",
    "\n",
    "print(\"True Noise   Predicted Noise\")\n",
    "for true_snr, pred_noise in zip(signal_to_noise_ratios, np.sqrt(variance_slopes)):\n",
    "    print(\"{: 5.2f}        {: 5.2f}\".format(1.0/true_snr, pred_noise))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If your data is small enough that you don't mind running the PCA expansion twice you can do better yet and partially take into account the fact that a purely white noise based PCA curve will differ from a straight line by feeding pure noise with the same shape as your input data through PCA and then doing a linear regression using the pure noise cumulative variance curve as one of the regressors.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True Noise   Predicted Noise\n",
      " 2.00         2.06\n",
      " 1.00         1.07\n",
      " 0.50         0.59\n",
      " 0.25         0.38\n"
     ]
    }
   ],
   "source": [
    "variance_slopes = np.zeros(len(signal_to_noise_ratios))\n",
    "\n",
    "k_start = 150\n",
    "k_end =   200\n",
    "\n",
    "noise_pca = sklearn.decomposition.PCA()\n",
    "noise_pca.fit(np.random.normal(size=faces.shape))\n",
    "noise_curve = np.cumsum(noise_pca.explained_variance_)\n",
    "\n",
    "for snr_idx, snr in enumerate(signal_to_noise_ratios):\n",
    "    cum_var = np.cumsum(noisy_pcas[snr_idx].explained_variance_)[k_start:k_end]\n",
    "    #line_coeffs = np.polyfit(np.arange(np.abs(k_end-k_start)), cum_var, deg=1)\n",
    "    fit_matrix = np.stack([noise_curve, np.ones(len(faces))], axis=1)\n",
    "    fit_matrix = fit_matrix[k_start:k_end]\n",
    "    line_coeffs = np.linalg.lstsq(fit_matrix, cum_var)[0]\n",
    "    cslope = line_coeffs[0] \n",
    "    variance_slopes[snr_idx] = cslope\n",
    "\n",
    "print(\"True Noise   Predicted Noise\")\n",
    "for true_snr, pred_noise in zip(signal_to_noise_ratios, np.sqrt(variance_slopes)):\n",
    "    print(\"{: 5.2f}        {: 5.2f}\".format(1.0/true_snr, pred_noise))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However this deviation from a straight line of the PCA expansion of random noise is primarily a small sample size effect. If your dataset is such that the number of samples is much larger than the number of input dimensions the purely linear approximation should suffice. "
   ]
  }
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   "description": "PCA is more than just a dimensionality reduction tool!",
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   "slug": "other_uses_for_PCA_part1",
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