Variance Partitioning Comparisons.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 382,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'retina'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 383,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib.pyplot import *\n",
    "import npp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 384,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "matplotlib.rc('image', cmap='gray_r')\n",
    "matplotlib.rc('axes', titlesize=24)\n",
    "matplotlib.rc('text.latex', preamble=r'\\usepackage{amsmath}')\n",
    "\n",
    "rtitle = lambda t: matplotlib.pyplot.title(t, y=1.2)\n",
    "def matshow_symm(data, *args, **kwargs):\n",
    "    maxabs = np.abs(data[~np.isnan(data)]).max()\n",
    "    matshow(data, *args, vmin=-maxabs, vmax=maxabs, **kwargs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 385,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create fake dataset with specific variance properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 386,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_params():\n",
    "    # partitions are always listed in the order (A, B, C, AB, AC, BC, ABC)\n",
    "    part_names = ('a', 'b', 'c', 'ab', 'ac', 'bc', 'abc')\n",
    "    model_names = ('A', 'B', 'C', 'AB', 'AC', 'BC', 'ABC')\n",
    "\n",
    "    # which partitions are combined to get each full feature space?\n",
    "    combs = [[0, 3, 4, 6],\n",
    "             [1, 3, 5, 6],\n",
    "             [2, 4, 5, 6]]\n",
    "\n",
    "    # total_variance is total fraction of non-noise variance in responses\n",
    "    total_variance = 0.05\n",
    "\n",
    "    # true_variances is proportion of variance assigned to each partition\n",
    "    #true_variances = np.ones(7) # each partition is equal\n",
    "    #true_variances = np.array([1088, 662, 9501, 251, 284, 1872, 555]).astype(float) # values from speech experiment\n",
    "    #true_variances = np.array([1088, 0, 0, 251, 284, 1872, 555]).astype(float) # values from speech experiment\n",
    "    true_variances = np.array([1, 1, 1, 1, 1, 1, 1])\n",
    "    true_variances = true_variances / float(true_variances.sum()) * total_variance\n",
    "\n",
    "    noise_variance = 1.0 - true_variances.sum()\n",
    "\n",
    "    # P_parts is number of components that together describe the variance in each partition\n",
    "    #P_parts = [1] * 7 # 1 component in each partition\n",
    "    #P_parts = [10] * 7 # 10 component in each partition\n",
    "    #P_parts = [10, 10, 900, 10, 10, 10, 10]\n",
    "    P_parts = [1, 1, 1, 1, 1, 1, 1]\n",
    "\n",
    "    # P_models contains size of each feature space (each must be bigger than sum of constituent parts)\n",
    "    #P_models = [300, 22, 985] # like speech experiment\n",
    "    #P_models = [1200, 88, 3940] # REALLY like speech experiment\n",
    "    #P_models = [9, 5, 19] # like Mark's experiment\n",
    "    #P_models = [50, 50, 50]\n",
    "    #P_models = [10, 10, 10]\n",
    "    P_models = [50, 10, 300]\n",
    "\n",
    "    # Pnoise_models is number of noise features in each feature space\n",
    "    Pnoise_models = [P - np.array(P_parts)[c].sum() for P,c in zip(P_models, combs)]\n",
    "\n",
    "    # N_R is number of training (regression) timepoints, N_P is number of validation (prediction) timepoints\n",
    "    N_R, N_P = 3737, 300 # like speech experiment\n",
    "    #N_R, N_P = 1260, 126 # like Mark's experiment\n",
    "\n",
    "    # M is number of voxels to simulate\n",
    "    M = 500\n",
    "\n",
    "    data_params = locals()\n",
    "    return data_params\n",
    "\n",
    "data_params = make_params()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 387,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_parts[0].shape (1, 4037)\n",
      "Btrue_parts[0].shape (1, 500)\n",
      "Y_parts[0].shape (4037, 500)\n",
      "scaled_Y_parts[0].shape (4037, 500)\n",
      "scaled_Y_noise.shape (4037, 500)\n",
      "Y_total.shape (4037, 500)\n",
      "Xtrue_feats[0].shape (4, 4037)\n",
      "Xnoise_feats[0].shape (46, 4037)\n",
      "mixing_mats[0].shape (50, 50)\n",
      "X_feats[0].shape (50, 4037)\n",
      "bulked_X_feats[0].shape (300, 4037)\n"
     ]
    }
   ],
   "source": [
    "from varpart import make_data, compare\n",
    "\n",
    "# Create dataset\n",
    "data = make_data(use_mixing=False, orthogonalize=True, noise_scale=0.1, **data_params)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare correlation ($r^2$) vs. coefficient of determination ($R^2$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 388,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "corr MSE: Orig: 0.000132, Fixed: 0.000050, Ratio: fixed 2.658x better\n",
      "Rsq MSE:  Orig: 0.000384, Fixed: 0.000039, Ratio: fixed 9.950x better\n",
      "\n",
      "corr vs. Rsq fixed MSE: corr 0.776x better\n",
      "\n",
      "corr Variance: Orig: 0.000084, Fixed: 0.000035, Ratio: fixed 2.415x better\n",
      "Rsq Variance: Orig: 0.000122, Fixed: 0.000011, Ratio: fixed 11.165x better\n",
      "\n",
      "corr vs. Rsq fixed variance: corr 0.312x better\n",
      "\n",
      "corr Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.20596230e-02  -4.26930503e-03\n",
      "  -1.00617752e-02  -2.87394773e-03   7.57145673e-03], \n",
      "Fixed: [  4.59800314e-05   4.11099489e-03  -4.45263412e-03  -1.22188199e-03\n",
      "  -6.42975672e-03  -4.46185473e-03  -2.12888158e-03], \n",
      "Ratio: fixed 1.716x better\n",
      "\n",
      "Rsq Bias: \n",
      "Orig: [-0.00693937 -0.00692395 -0.03842088 -0.01065519 -0.00276186  0.00606748\n",
      "  0.01027402], \n",
      "Fixed: [ -3.56609126e-03   8.98496282e-05  -7.11294332e-03  -3.83354407e-03\n",
      "  -7.03115496e-03  -6.97422987e-03  -4.21125359e-03], \n",
      "Ratio: fixed 2.500x better\n",
      "\n",
      "corr vs. Rsq fixed bias: corr 1.436x better\n"
     ]
    },
    {
     "data": {
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aqu4z1QV9O6ov1HEQRTD2JnBWPQMiYmOKYCwpQqdqs4Yup1gmOQL4hxqnurlaMFbhTeDK\neuqq4mCKYOx14CuVjeVyz9YlrftExOY1znNFRy8cEZtQBGNZ7dqlyzt63r7KcEySJEmSJDWqvcrj\n3Mz8U51jWoO6BO6v1iEzl7J6KWatYK+epZF/yMxX6qyrUutDBOZm5pIafX5KseSybf+2kvqXcLbV\nulyyBXioWofMfBZ4rhPn7nMMxyRJkiRJaiy/7qa+HdUX6midLfVsB8ZsWh6XZOZf2+n3QkX/Suua\nNVZvn1par/tCrQ6Z+TrwMsXeYpt0YQ2t51pSXqOWFztx7j7HcEySJEmSpMZyJqtnC7Wnpezb3+vo\nrCHrOX5lF/VZl6HrM7jGslG1YTgmSZIkSVIDyeQXwAV1dL2g7Nuf61hQHrfpwJiXyuOG5d5atWxd\nHtdn9tf6aK3z7bU6RMRQYEz5sivrbD3XqIhoL0Tcsguv2WsMxyRJkiRJajCZXAKcR/WZWy3AeWWf\n/l7Hz8vjOyNiqzrHtC7xDIqN+dcSEaOAd5Uvf9X58tZL63Xf0c697QcMpNhbrCvr/E15HADsXa1D\nRLyddoK7RmI4JkmSJElSAypDp72AB9u8/SCwZ08EY32kjnsp9uQaBHy1ngGZ+Srwk/Ll5yMiqnT7\nPMWyy9eAu7qgzs64G1gKbECVJ3FGxECKYBLggcx8qbJPZ2XmIuABigDxczW61fV00EZgOCZJkiRJ\nUoPK5BeZ7Nvm9b6Zq56y2O/ryMw3gc+WL4+KiO9FxI6t7RGxcURMjYivVwxtne02EfhuRLy17D8i\nIs4Fzin7fTkz/1Lt0l16I9UuUDws4LLy5T9HxLkRMbys863Af1LM6loJfLEbSvhSeTwkIm6IiE3L\na4+MiIuAU4BaT9FsKIZjkiRJkiSpYWXmf1EEZC3AEcBjEfFaRLxK8STHbwITKsY8TBHutI55LiJe\nARYDl1CEXzOAL9e4bLXZZt3ha8DN5fUuAZaUdT4HfIQiGPt0Zj5Y+xSdk5n3AheWL08E/lxe+xWK\ncPFKYG7Z3t4TLfs8wzFJkiRJktTQMnMasBswHXiaYh+ulRThzVXAGVXGfAvYA7iVYmnmMOBViuWM\nR2TmsTWe9Jise+ZYl8wsy8yWzDyeIgi7myKYGlbWeyvw7sy8viuuVeP6XwIOA35KscR0APAL4LjM\nPAsYXXZd3F019ITwiZ49KyISIDN7KmWWJEmSJPVx6/uzYgTl+B6b0dSn61D3K5d4LgIGA9tl5rNd\nfP4O/ZlYnz9DzhyTJEmSJElSR/0zxcMCft/VwVhPG9TbBUiSJEmSJKnviYjWfcX+u/VpmBGxBcV+\nbeeW3a7opfK6jMsqe5jLKiVJkiRJlfxZUX1RRDxA8URMKDbdXw6MKl8ncEu5J1p3XLvHllUajvUw\n/8KTJEmSJFXyZ0X1RRFxCHAk8G5gC2AExUMLfgl8OzPv7MZrG471V/6FJ0mSJEmq5M+K0prckF+S\nJEmSJEnqAYZjkiRJkiRJalqGY5IkSZIkSWpahmOSJEmSJElqWoZjkiRJkiRJalqGY5IkSZIkSWpa\nhmOSJEmSJElqWoZjkiRJkiRJalqGY5IkSZIkSWpahmOSJEmSJDW6iCQie7uMPlOH1AGGY5IkSZIk\nSWpahmOSJEmSJEl9VERsFBFXRsSTEfFGRLRExNNl2/Hl6/t6u856RMScst7jeruWtgb1dgGSJEmS\nJEmq6Q7gICCBpcDfgJcq+jTaUtY+Va/hmCRJkiRJUh8UETtTBGNvAPtl5v9UdFkMPA4829O19SeG\nY5IkSZIkSX3TzuXxkSrBGJn5feD7PVtS/+OeY5IkSZIkNaqIPYh4sM3rB4jYo2nr6H82LI9/6dUq\n+jnDMUmSJEmSGlHEF4GfA3u3eXcf4OdlW1PVERF/FxHXR8QTEfHXiFgcEfMi4usRMbHGmN0iYkZE\nPBcRr0fEyxHxo4j4UDvX+WO5qfz+EfHWiLg2Ip4qx/+67LPGRvkR8YmIuD8iFpXvH7aOe7kwIlqA\n6eVbB5TjWr/2r3adNuMvK99fGBGbVzl/lPfZEhG/iIhBFe0bRMRpEfFARLxS3tszEXFjRIxfR+2H\nRMRPImJJRCyNiIcj4uj2xvQ2l1VKkiRJktRoitDp4hqtA4CLiYDMS5qhjoj4NDCtvGYCy4CVwE4U\nSxPfCRxYMeaTwHVAlGMWAyOBDwAfiIgZwPGZ2VLlkgnsANwOjCmv9zpVNpqPiKuB08p6lpTHdW1I\n/xqwABhW1rQCWNSm/fUq9bR1PjAJ2A34NvCPFe2nUtznX4GjM/PNNvVuCfw3xfeMst5lwNbACcBR\nEfGJzLyzyr2eBVxevmyhuN89gJsjYtf2b7n3OHNMkiRJkqRGUixXvKiOnhd169LGPlJHRBwBfJ0i\n47gN2CkzR2bmGGAT4GjglxVj3svqYOw24G1l/7cAX6QIm44GvlDrssAVwAvAezNzo8wcCXykot+7\nKIKo84ExmblJeY2H27unzLwiM7cCPlO+9bPM3KrN18/XMf5N4BMUT7b8YER8qs297wh8pXz5+cx8\nvE3bYOAHFMHYPcB7gKGZORp4K3AVMBS4JSLGrvENidiH1cHYLcBW5fd0THm9M4Fd2qu7txiOSZIk\nSZLUWK6kvp/nB5R9+20dZZgzrXx5a2Z+tG3Yk5mvZuatmXlWxdCLKQKuB4GPZeaLZf9lmXkZ8OWy\n3+cjYqMal18BHNw2qMrMpyr6jAD+NTMvycylZZ+/ZObCem+xzn5rycz5wOfLl1+NiB3K5ZMzKAKu\nH2fmNRXDjgN2B34KfDAz/09mrizPtyAzzwS+STGj7YyKsa1B6U8y87jMfKkctyQzzwFuBEZ19n66\nk+GYJEmSJEmNZbdu6ttRfaGOg4CtgDeBygCsqojYmGKJZVIEV9WWOF5OsXRxBPAPNU51cx0h15t0\nb0DZrsz8BvBjijBrBvAlitlsiyiWSFY6rjx+vTUUq+LW8vj+1jcqvqeXVxsEXNah4ntQw4ZjEbF1\nRHw7Il6MiOUR8XRETIuI0d11nojYtmIDvMqv/+y6O5QkSZIkSeuwV3mcm5l/qnNMa1CXwP3VOpSz\nvH5Z0b9Su0sjS3/IzFfqrKu7nEARhu0OnENx35/KzAVtO5Wzyt5dvrwhIhZU+wLuKPu8vc3w1u9R\nC8VsvLVk5tPA811yR12sITfkj4hxwEPApsD3gfnAnhRrcQ+JiL3r+fCtx3l+U/av9NtO3I4kSZIk\nSR3xa4qnQdbbtz/X0fokxmc7MGbT8rgkM//aTr8XKvpXqmdpZL3LJ7tNZi6IiH8Bri/fui0zb6/S\ndWNgcPnrt9Rx6qFtft32e/q3dsa8QLGxf5/SkOEYcC3FN/7TbdfHRsQVFGteLwU+VWNsV5znN5n5\npc6XL0mSJElSp50J/Jx1rwZrKfv29zo6a8h6jq+17LCjfbpVRAxk9XJJgN0iYliVYLD19zGB3TLz\nkR4psA9ouGWV5Wyvg4Gnq2wcdwHlY0gjYlhPnEeSJEmSpB6V+QuKn1vX5YKyb3+uo3Vp4DYdGPNS\nedwwIjZpp1/rDKden/21ns6heOrkYuA54B0UT9qstIgiyISOfT9h9fd0VERs2E6/rTp43h7RcOEY\nxQZvAHdXNmTmX4CfAcNZve64O87z1og4OSLOLY8T6i1ekiRJkqT1lnkJcB6rw4y2WoDzyj79vY7W\nJ0W+MyLqDV5al3gGq7OBNUTEKIqN6wF+1fnyeldETKQIMBP4NMUMsgROjogPtu2bmSuAX1B8Xz5I\nx7R+TwdQY6ltRGwHvK2D5+0RjRiO7Vgen6jR/vvy+I5uPM/BwHXAJeVxbkT8JCL65G+yJEmSJKkf\nKkKnvVhzA/QHgT17JBjrG3XcS7GP1SDgq/UMyMxXgZ+ULz8fEVGl2+cpll2+BtzVBXX2uHIG1wyK\n783tmfkfmTkHmFZ2uTEixlQM+055PD4i3rmO8696kGH5Pb2XIlg7u8aQczp0Az2oEcOxUeVxSY32\n1vfX9dTKzpxnGcVjTyeW748G9gfuAw4A7nUZpiRJkiSpx2T+gsx927zel8xftjOiX9WRmW8Cny1f\nHhUR34uI1skwRMTGETE1Ir5eMbR1tttE4LsR8day/4iIOJfVQc6Xy9Vla126S2+ke1wOjAdeBE5u\n8/65wKPAFsA3K8bcSDEbbyjwk4g4KSI2am2MiK0i4riIeIDiYYZtXUjxfTkoIr4TEZuVY0ZFxGXA\nVGpnML2qEcOxXpOZCzPzwsz8TWYuLb8eAD4A/B9ge+Ck3q1SkiRJkqTmkZn/RRGQtQBHAI9FxGsR\n8SrwMkUANKFizMPAKW3GPBcRr1Dsy3UJRcgzA/hyjctWm23WZ0TEB4DTKO7jnzJzcWtbZr4BHA2s\nAD4UEce1aXsTOIxiq6mNgW8BiyNiUUQsA54HpgPvpWIpbWb+jGLGHcCxwILye7qIImy8AvhN19/t\n+mvEcKw1ZRxVo731/cU12rv6PGTmSuDfy5f7tte3VURkO19zyuOFNcZeaLvttttuu+2222677bbb\nbnv/aa/W1pnxs2fPzrZfH//4xzMi8uMf/3hWtnVHe2UdPXX9o4466sp/+7d/G3jwwQfHFltsERts\nsMGIjTbaaPTo0aMDiEMOOeTAyrGzZs365qRJkwYCMWzYsBg8ePBbRo4cOXDixInxhS98YcCsWbOO\nOeqoo1oqr7/ZZpttM2DAgPjXf/3X+2vVd/rpp0+PiNhss80OrKf+Wr+/FEFVANvV2x4RbwG+TRGM\n/RL4ceX5M3MuxV5kAXwnIqa1aVtIsUruE8AfKLKjURRP3nwMuAk4Eri88vOZmV+j2K/sPmApMAwY\nCNyZmWe1XqLy89vO/dO2vU3/tb5qja9HZDbCTMDVIuJE4AbgW5n5/1Zp/zHFnmAHZeZ93X2eNv0P\nA+4EfpSZ/9BOvwTIzD6dMkuSJEmSes76/Kw4e/bsnDxlSvHrWbO6uLKO6St1NJLJkyebD1TR0T8T\n6/NnqBFnjrUGVQdHrLlpXhTrYPem2Bvs55UDu+k8rVqfavlUnf0lSZIkSZLUyxouHMvMp4C7KaYM\nnlrRfBHFlL1bMvNvABExKCLGR8TY9TlPea6JlUFa+f5BwBmsXpMsSZIkSZKkBtBwyyoByqDrIWAz\n4AfAfGBPiidGPg68t3yMKBGxLcVsrmcyc7vOnqfsP4di0/2HKB4VC/BO4ECKYOy8zLxsHbW7rFKS\nJEmStIb1XVbZ9RWpp7issjqXVa5DOetrd+A7FGHWmRQzwK4C9mobaLUd1gXnuRn4NbAHxVMpPwWM\nA74H7LeuYEySJEmSJEl9S0POHGtkzhyTJEmSJFVy5ljzcuZYdc4ckyRJkiRJknqA4ZgkSZIkSZKa\nluGYJEmSJEmSmpbhmCRJkiRJkpqW4ZgkSZIkSZKaluGYJEmSJEmSmpbhmCRJkiRJkpqW4ZgkSZIk\nSZKaluGYJEmSJEmSmpbhmCRJkiRJDW7KlMlMmTK5t8voM3VIHWE4JkmSJEmSpKZlOCZJkiRJktQk\nImLbiGiJiJberqWvGNTbBUiSJEmSJHXWtGnTuO+++9Z6f8iQIWyyySbsvPPOTJ48mW233bbni+vb\nsrcL6CsMxyRJkiRJUsMbOHAgI0eOBCAzWbp0KS+88AIvvPAC9957L6eeeirvf//7e7nKPuEN4HEM\nx1YxHJMkSZIkSQ1vp5124tJLL131euXKlcydO5drr72Wl156ieuuu45dd92VTTbZpBer7H2Z+SLw\nd71dR19iOCZJktQgIor/w5tJ9HYtkqTe0/rvwWqrnw5Z7UmRs2bN7pY62nsqZU/WUcvAgQOZOHEi\nn/vc5zj77LNZsWIFDz30EIceemiP1qG+z3BMkiRJkiT1WzvuuCNDhw5l+fLl/OlPf6raZ8GCBdxx\nxx3MnTuXl19+GYBRo0ax+eabM3HiRCZNmrRqyWZbc+bMYfbs2TzzzDMMGjSIsWPHcvjhh7P77rtz\n4oknsnDhQi699FImTJjQ4boj4kPAJ4F3ASOBhcAc4IrM/HWV/tsCTwFk5oCI2Av4HLA3sBlwdWae\nUdmvxrUnA58FJgIBPApcl5k3R8QcYD/ghMy8qcM31gcZjkmSJEmSpH4ts5hsN2jQ2jHIH/7wB849\n91yWL1+upsuTAAAgAElEQVRORDBw4ECGDh3KokWLePnll3n00UcZN24cEydOXGPc9ddfz1133QXA\ngAEDGDx4ML/97W+ZN28eJ510EgARQUTHJnxHxABgOnBM+dabwGvAlsDHgY9FxGmZeX2t242IjwIz\ngAHAEmAFa+8xVnXPsYj4IvCl8mVLOX4PYM+I2LXNuH6zZ5nhmCRJkiRJ6rcee+wxXn/9dQC22Wab\ntdqnT5/O8uXL2XHHHTnllFPYbrvtAHjjjTd49tlnuf/++xk+fPgaY+bMmcNdd91FRHD44Ydz5JFH\nMmzYMBYvXsz06dOZPn06gwYNWhXKddDZFMFYC3A+8PXMXBYRWwHTgCOAb0TEo5n5QJXxAdwA3Al8\nLjOfjYiBwNbrunBEvI/Vwdi3gXMy8+WIGEkxC+2LFGFZv2I4JkmSJEmSut3kKVOYPWtWj13vzTff\n5JFHHuGaa64BYMyYMey3335r9Zs/fz4RwdSpU1cFYwAbbLAB22+/Pdtvv/0a/TOTW2+9FYD3ve99\nHH/88avaRo8ezRlnnMErr7zC3LlzO1xzRIwAvlC+vDwzL2tz3Rcj4iiKGWT7AJcA+9c41W8y88g2\nY1cCz9RRwgXl8ceZeVKb8UuB8yNiDPCpeu+nURiOSZIkSZKkhve73/2OY445ZtXrpUuXrpq5NW7c\nOM466yw22GCDtcYNGzaMJUuW8Morr9R1naeeeooFCxYQERxxxBFV+xx55JHMnTu3w0sqgYOBjYDX\nga9UNmZmS0RcDPwY2CciNs/MP1c5zxUdvXBEbALsS7Fccq1rly6nH4ZjVTdekyRJkiRJaiQrV65k\n6dKlq75ajRgxgpNOOomtttqq6rg99tgDgGnTpnHTTTfx+OOPs3LlyprXefLJJ4Fillitc44fP54B\nAzoVubRubDY3M2stX/wpxZLLtv3bSuDhTlx71/LYAjxUrUNmPgs814lz92nOHJMkSZIkSQ1vwoQJ\nXHrppUCxpPK5557je9/7Hg899BAXXHABl19+OePGjVtr3AknnMDzzz/P/PnzmTlzJjNnzmTw4MGM\nHz+effbZh4MOOmiNGWdLlhSZ1cYbb1yzlsGDBzNy5EgWL17c0dvYtDy+UKtDZr4eES9TPIFykxrd\nFnb0wm3OtSQzX2+n34vA2zpx/j7LmWOSJEmSJKlfGTRoENtttx3nnHMOu+22G2+88QZXXXVV1Q3y\nN9poI77yla9w8cUXM2XKFMaNG8fKlSuZN28e1113HaeddhqLFi3q6VsYuj6Ds5NPAmhWhmOSJEmS\nJKnfOvnkkxkwYADPPPMMc+bMqdlvl112YerUqUybNo0ZM2Zw6qmnMmLECBYsWMANN9ywqt/o0aMB\n2t2jbMWKFSxdurQze469VB7fXqtDRAwFxpQvOzNDrJbWc42KiCHt9NuyC6/ZJxiOSZIkSZKkfmur\nrbZi3333BeC2226ra8yIESOYNGkSxx57LACPPvroqrbWpZmLFy/mxRdfrDp+/vz5tLS0VG1bh1+V\nx3dERPUNzWA/YCDF3mK/qtGnM35THgcAe1frEBFvp53grlEZjkmSJEmSpH7t8MMPB+D555/n4YdX\n71Wfme1uvt+619iKFStWvTd27Fi23HJLMpPbb799rTFt3+/E6sa7gaXABsBZlY0RMRA4r3z5QGa+\nVNmnszJzEfAAEMDnanRbq6b+wA35JUmSJElqIJmssVZv9uzZOWXKZABmzZrdY3VUu1atOiZPmdIj\nNdUyduxYdtllF+bOncvMmTN5z3veA8CyZcv4zGc+w6RJk9hzzz3ZeuutGThwIC0tLcybN49bbrkF\ngIkT13wo5FFHHcWVV17JPffcw8iRIzniiCMYPnw4r776KjfddBOPPPIIQ4YM4fXX29vXfm2Z+deI\nuAz4MvDPEbEQ+HpmLouItwLTKGZ1rQS+uJ7flmq+BPz/wCERcQNwbmYujIiRwGeBU4AlwKhuuHav\nMRyTJEmSJEn93oc//GHmzp3LE088wbx585gwYQIACxcuZMaMGcyYMYOBAwey4YYbsmzZslWzvrbY\nYgtOPPHENc51wAEH8Pjjj/PDH/6QO+64gzvvvJNhw4axbNkyIoKpU6dy5513snBhp7YE+xqwE3As\ncAnwpYhYCowu21cCn87MBztz8vZk5r0RcSFwIXAicGJELAZGUqw+vALYg2JpZ8eSvz7MZZWSJEmS\nJKlhRURdG9/vuuuujB07lohg5syZAAwfPpzzzz+fQw89lB122IHRo0ezfPlyNtxwQ3bYYQeOOeYY\nrr76asaMGbPW+U4++WTOPPNMdthhB4YMGUJEMGHCBM477zwmT57c6fvJzJbMPB74CMUyy1eAYcAL\nwK3AuzPz+k5fYN3X/xJwGPBT4DWK7OgXwHGZeRarQ7rF3VVDT3PmmCRJkiRJalinn346p59+el19\nr7rqqjVeRwS77747u+++e6eufcABB3DAAQd0auy6ZOYdwB0d6P9H6pgEVU+/zJwFzKp8PyKGA+Mp\nHgbwWL219XXOHJMkSZIkSVI9/pniYQG/z8xne7uYruLMMUmSJEmSpG5Qz3LPviYirgTmAv/d+jTM\niNiCYjP+c8tuV/RSed3CcEySJEmSpAbXk0+pbE9fqaOvaN3Uv8HsAZwOEBGvA8tZ/XTKBG7OzBt6\nqbZuYTgmSZIkSZLUDRpx5hhwKXAk8G5gC2AE8Gfgl8C3M/POXqytWxiOSZIkSZIkdbEbb7yxt0vo\nlMz8EfCj3q6jJ7khvyRJkiRJkpqW4ZgkSZIkSZKaluGYJEmSJEmSmpbhmCRJkiRJkpqW4ZgkSZIk\nSZKaluGYJEmSJEmSmpbhmCRJkiRJkpqW4ZgkSZIkSZKaluGYJEmSJEmSmpbhmCRJkiRJDW7ylClM\nnjKlt8voM3VIHWE4JkmSJEmSpKZlOCZJkiRJktSHRMRGEXFlRDwZEW9EREtEPF22HV++vq+366xH\nRMwp6z2ut2upZVBvFyBJkiRJktRZ06ZN47771s6JhgwZwiabbMLOO+/M5MmT2XbbbXu+uM67AzgI\nSGAp8DfgpYo+2dNFrac+W6/hmCRJkiRJangDBw5k5MiRAGQmS5cu5YUXXuCFF17g3nvv5dRTT+X9\n739/L1e5bhGxM0Uw9gawX2b+T0WXxcDjwLM9XVt/ZTgmSZIkSZIa3k477cSll1666vXKlSuZO3cu\n1157LS+99BLXXXcdu+66K5tsskkvVlmXncvjI1WCMTLz+8D3e7ak/s1wTJIkSZKkRhKxxvK0yW1/\nXeVJkbNnzeqWMtp7KmVfeGLlwIEDmThxIp/73Oc4++yzWbFiBQ899BCHHnpob5e2LhuWx7/0ahVN\nxHBMkiRJXSqi2FMkk+jtWiRJ2nHHHRk6dCjLly/nT3/6U9U+CxYs4I477mDu3Lm8/PLLAIwaNYrN\nN9+ciRMnMmnSpFVLNtuaM2cOs2fP5plnnmHQoEGMHTuWww8/nN13350TTzyRhQsXcumllzJhwoR1\n1hkRFwLnt3nrgIhoafP6wMy8PyKOB74N3J+ZB7YZfxlwDrAI+PvM/HPF+QP4b+ADwP8C78nMN9u0\nbwB8Evgoxey14cAC4B7gq5k5v53aDwHOBt4FBPAocE1mzljnjfcBhmOSJEmSJKlfyywm2w0atHYM\n8oc//IFzzz2X5cuXExEMHDiQoUOHsmjRIl5++WUeffRRxo0bx8SJE9cYd/3113PXXXcBMGDAAAYP\nHsxvf/tb5s2bx0knnQRARFBkUnV5jSKMGgaMBFZQBF2tXq+8rYrX5wOTgN0owrN/rGg/lSIY+ytw\ndEUwtiVFcPbO8q2VwDJga+AE4KiI+ERm3llZdEScBVxevmwBlgB7ADdHxK7t33LfYDgmSZIkSZL6\nrccee4zXXy9ypW222Wat9unTp7N8+XJ23HFHTjnlFLbbbjsA3njjDZ599lnuv/9+hg8fvsaYOXPm\ncNdddxERHH744Rx55JEMGzaMxYsXM336dKZPn86gQYNWhXL1yMwrgCsi4jhgOvCzzHxfB8a/GRGf\noJgV9sGI+FRmXgcQETsCXym7fj4zH28dFxGDgR9QBGP3AOcBv8zMlRGxBcWMsNOBWyLinZn5VJux\n+7A6GLsFOCszX4qIUcAXyrFL6v4m9BLDMUmSJEmS1O+8+eabPPLII1xzzTUAjBkzhv3222+tfvPn\nzycimDp16qpgDGCDDTZg++23Z/vtt1+jf2Zy6623AvC+972P448/flXb6NGjOeOMM3jllVeYO3du\nZ0vv9LYEmTk/Ij4PXA18NSLuBZ4CZgBDgR9n5jUVw44Ddgd+CnwwM1e2Od8C4MyI2BA4GTgD+HSb\nsReVx59k5nFtxi0BzomIMcCJnb2fnmI4JkmSJEmSGt7vfvc7jjnmmFWvly5dumrm1rhx4zjrrLPY\nYIMN1ho3bNgwlixZwiuvvFLXdZ566ikWLFhARHDEEUdU7XPkkUcyd+7cjiyp7DKZ+Y2I+EeKJZYz\nKGaDvYtiieYJVYa0hlpfbxuMVbiVIhx7f+sbEbExcCDF8s7La4y7jAYIxwb0dgGSJEmSJEnra+XK\nlSxdunTVV6sRI0Zw0kknsdVWW1Udt8ceewAwbdo0brrpJh5//HFWrqyVEcGTTz4JFLPEap1z/Pjx\nDBjQq5HLCRRh2O4Um/Qn8KlyJtgqETEIeHf58oaIWFDtC7ij7PP2NsN3K48twIPVisjMp4Hnu+SO\nupEzxyRJkiRJUsObMGECl156KVAsqXzuuef43ve+x0MPPcQFF1zA5Zdfzrhx49Yad8IJJ/D8888z\nf/58Zs6cycyZMxk8eDDjx49nn3324aCDDlpjxtmSJcUWWhtvvHHNWgYPHszIkSNZvHhxF99lfTJz\nQUT8C3B9+dZtmXl7la4bA4PLX7+ljlMPbfPrTcvjksz8WztjXqDY2L/PcuaYJEmSJEnqVwYNGsR2\n223HOeecw2677cYbb7zBVVddVXWD/I022oivfOUrXHzxxUyZMoVx48axcuVK5s2bx3XXXcdpp53G\nokWLqlyl74qIgaxeLgmwW0QMq9K1NRdKYLfMHNjO14DMHNjtxfcCwzFJkiRJktRvnXzyyQwYMIBn\nnnmGOXPm1Oy3yy67MHXqVKZNm8aMGTM49dRTGTFiBAsWLOCGG25Y1W/06NEA7e5RtmLFCpYuXdor\ne46VzgHeAywGngPeAVxRpd8iimWRAGs/yrN9L5XHUeWG/bVUX3vahxiOSZIkSZKkfmurrbZi3333\nBeC2226ra8yIESOYNGkSxx57LACPPvroqrbWpZmLFy/mxRdfrDp+/vz5tLS0VG3rbhExEbiAYjbY\npylmkCVwckR8sG3fzFwB/ILiCZkfpGN+XR4HAPvUqGU74G0dPG+PMxyTJEmSJEn92uGHHw7A888/\nz8MPP7zq/cxsd/P91r3GVqxYseq9sWPHsuWWW5KZ3H772tt4tX2/2jLO7lTO4JpBscf87Zn5H5k5\nB5hWdrkxIsZUDPtOeTw+It65jvOPbv11Zr4K3EsRrJ1dY8g5HbqBXuKG/JIkSf1dRPFf5pm9trZD\nktSFKv4+nz17dk6eMqX49axZPVZGtWvVqqP1/d4yduxYdtllF+bOncvMmTN5z3veA8CyZcv4zGc+\nw6RJk9hzzz3ZeuutGThwIC0tLcybN49bbrkFgIkTJ65xvqOOOoorr7ySe+65h5EjR3LEEUcwfPhw\nXn31VW666SYeeeQRhgwZwuuvv97Tt3o5MB54ETi5zfvnApOAnYFvAh9p03YjxeyyvYCfRMQ5wPcy\n8zWAiNgKOBg4CbgHuKjN2AuB9wEHRcR3gLMz86WIGAV8HpgKLAFGdelddjHDMUmSJEmS1O99+MMf\nZu7cuTzxxBPMmzePCRMmALBw4UJmzJjBjBkzGDhwIBtuuCHLli1bNetriy224MQTT1zjXAcccACP\nP/44P/zhD7njjju48847GTZsGMuWLSMimDp1KnfeeScLFy7ssfuLiA8Ap1EsofynzFz1qMzMfCMi\njgb+B/hQRByXmTeVbW9GxGHAHcDewLeAb0bEYoqnU7buJ5bA3W2vmZk/i4jPA18BjgWOLceNpFit\neAWwO7B/N912l3BZpSRJkiRJalgRUdfG97vuuitjx44lIpg5cyYAw4cP5/zzz+fQQw9lhx12YPTo\n0SxfvpwNN9yQHXbYgWOOOYarr76aMWMqVyIWG/2feeaZ7LDDDgwZMoSIYMKECZx33nlMnjx5fW5p\nXWsx12qPiLcA3y7brs3Mu9calDmXYi8ygKsi4u1t2hZSBFifAO4C/gwMB1YCjwE3AUdSzEyrPO/X\nKPYruw9YSpE1/Q9wTGaeVec99aro6fWvzS7KZQ3psgZJktRBEZT/HUHH/juih5dVdrpOSWpi6/Oz\nYm8tq6xmXcsqe7u+nnTiiSeycOFCLrvsMv7+7/++Zr/Jkyf772UVHf0zsT5/hpw5JkmSJEmSpKZl\nOCZJkiRJktQN6lnuqd7nhvySJEmSJDW4vrJcsa/U0Ve4lVVjcOaYJEmSJElSN3DmWGNw5pgkSZIk\nSVIXu/HGG3u7BNXJcEySJGk9zZ49u4fWTEzu1PVaHybf1+vsDT39hLBG+J6oNj8vqpdPH5Qai8sq\nJUmSJEmS1LQMxyRJkiRJktS0DMckSZIkSZLUtAzHJEmSJEmS1LQMxyRJkiRJktS0DMckSZIkSZLU\ntAb1dgGSJEmSJKkQEdnbNXSrKVN6u4K+qH//njcAZ45JkiRJkiSpaTlzTJIkSZKkXpaZ0dmxs2fP\n7rGZR1OmTAZg1qzZHRo3uZwxNnvWrC6vqdFNnjy507/36hrOHJMkSZIkSVLTMhyTJEmSJElS0zIc\nkyRJkiRJUtMyHJMkSZIkSVLTMhyTJEmSJElS0zIckyRJkiRJUtMyHJMkSZIkSVLTMhyTJEmSJElS\n0zIck6RuEEFGkL1dhyRJkiSpfYZjkiRJkiRJalqGY5IkSZIkSWpahmOSJEmSJElqWoZjkiRJkiRJ\nalqGY5IkSZIkSWpahmOSJEmSJElqWg0ZjkXE1hHx7Yh4MSKWR8TTETEtIkb35Hki4t8joqX8Gtu5\nu5EkSZIkSVJvGdTbBXRURIwDHgI2Bb4PzAf2BD4DHBIRe2fmK919noiYAvwT8Bdg+HrdlCRJkiRJ\nknpFI84cu5Yi0Pp0Zn4oM8/NzIOAacCOwKXdfZ6I2BS4Afgu8L9AdPpuJEmSJEmS1GsaKhwrZ3sd\nDDydmddUNF8A/BU4OiKGdfN5vgW0AKdiMCapgUWQEWRv1yFJkiRJvaWhwjHgwPJ4d2VDZv4F+BnF\nEse9uus8EXE8cBhwcma+Wm/hkiRJkiRJ6nsaLRzbsTw+UaP99+XxHd1xnojYBvg6cEtmzlrHNSRJ\nkiRJktTHNVo4Nqo8LqnR3vr+up422eHzRMQA4CZgKfDP6zi/JEmSJEmSGkCjhWO96QxgP2BqZtYK\n1eoWEdnO15zyeGGNsRfabrvtfbsdqjb3mfpst932rm+/9dZbmTJlCrfeemu15i5pL7Y6rXr5dY6/\nELq9vkZu76nPT1+9f9vra+/Pf7/Y3th/v/Tl+29tr1p8H6qvN9v78n/f9LX2Nq/X+qo2vl6R2Tj7\nMEfEV4HPAp/NzGlV2r8BnAJ8KjO/2VXniYgdgEeAGZl5UkXfORSh2Tsy88k67iEBMtON/KV+rHWT\n+8y+/dCORqlT6utmz57dI/9BNWXKZABmzZrdoXGTp0wBYPasntkVorN19obJkyf36N9/PfVZUffw\n86J69efPSqP8W9RIevrz0l+tT97SaDPH5pfHHWu0t+4RVmsvsc6eZydgA+CfIqKl7RdFMAbw+/K9\nw9ZxbUmSJEmSJPURg3q7gA66rzweHBGRbaa9RcRGwN7AMuDnXXyep4EbgWpp/GRgC+C/KPYje7pD\ndyRJkiRJkqRe01DhWGY+FRF3Ax8ATgW+0ab5ImAYcH1m/g0gIgYB2wNvZOZTnT1PZs4FplarqVxW\nuQVwbttrSJIkSZIkqe9rqHCsdArwEHB1RBxEsURyT+AA4HHgX9r03Rr4HfAMsN16nEeSJEmSJEn9\nUKPtOUY5O2t34DsUYdaZFMHXVcBemflqtWFddJ6qJVU7vyRJkiRJkvq+Rpw5RmY+D/xTHf3+SDsB\nYL3nWcc1Dlyf8ZIkSZIkSeo9DTdzTJIkSZIk/V/27j7MsqyuD/131XQwAbXIdEh84bXprm6Lm6st\nIM5MwwXmAkqq1MdcLVPpJGaqk4DG+II1HcHrzPASLRnlJcEnwSkQaE8oSXxJlQRGr4ICDQq+5D6e\nmS6bnjHiQBwHqCiowVvr/lHVRU93VVd11a5z6tT+fJ7nPKf3Xuus9Tvdu0+d/vbaewNNEY4BAAAA\n0FrCMQAAAABaSzgGAAAAQGsJxwAAAABoLeEYAAAAAK0lHAMAAACgtYRjAAAAALSWcAwAAACA1hKO\nAQAAANBawjEAAAAAWks4BgAAAEBrCccAAAAAaC3hGAAAAACtJRwDAAAAoLWEYwAAAAC01oHtvKiU\ncluSup3X1lpfvp3XAQAAAEDTthWOJbltB3MKxwAAAADYE7Ybjj230SoAAAAAoA+2FY7VWt/TcB0A\nAAAA0HMuyA8AAABAa233tMp1lVK+Mslkkq9I8qha682r+5+Y5GuS/HKt9ZNNzgkAAAAA29VYOFZK\neUWSlyYpq7suvZvldUnenuR7kry+qTkBAADoj7Hx8STJwvx8nysB2JlGTqsspXxbkpcluTvJ8SQ/\nnM+HZKm1fjTJh5OMNzEfAAAAADShqWuO/askH03yTbXW303yuXX63JPkSEPzAQAAAMCONRWO/d0k\n76q1/uVV+jyQ5Esamg8AAAAAdqypcKwkWd6kz99J8hcNzQcAAAAAO9ZUOHY+yY0bNZZShpLclOT3\nGpoPAAAAAHasqXBsLslTSynfv0H7S7NyvbFOQ/MBAAAAwI4daGic1yX5liQ/Wkr5los7Syl3JnlW\nkqcl+WCSNzY0HwAAAADsWCMrx2qtn03y3CRvTfLUJE9fbfq+JF+d5G1JXlBrXe8ulgAAAADQF02t\nHEut9dNJvr2U8pKshGMHkywl+VCt9cGm5gEAAACApjQWjl1Ua30oybuaHhcAAAAAmtbUBfkBAAAA\nYOBsa+VYKeXNSep2XltrvWU7rwMAAACApm33tMp/soM5hWMAANdgcXE4d931lLXt06dvyNRUNyMj\nS32sCgBgf9juaZWHLnscTjKf5FNJ7sjKnStHV59fnuTTSf5LkifvsF4AgFaZmzuc6ekTueee69f2\ndbsHMz19InNzh/tYGQDA/rCtlWO11vsv3S6lfG+SZyb56sva7k3ynlLKW5J8JMk3JXnNtioFAGiZ\nubnDOXPm2Lpty8tlrW1i4nwvywKALRteXMxT7rprbfuG06fTnZrK0shIH6uCh2vqgvz/PMnPXB6a\nXVRrvS/JO5L8s4bmAwDY1xYXh9PpHN20X6dzNIuLwz2oCACuzeG5uZyYns7199yztu9gt5sT09M5\nPDfXx8rg4ZoKx56YlVMqr+bTSZ7U0HwAAPva7OxolpfLpv2Wl0tmZ0d7UBEAbN3hubkcO3MmZXn5\nirayvJxjZ84IyNgzmgrHHkrygo0aSyklyfNX+wEAsIkLF7a+Guxa+gLAbhteXMzRTmfTfkc7nQwv\nLvagIri6psKxn0nyVaWUd5RSHrY6rJRyaLX9K5OIhQEAAGAfG52dXXfF2OXK8nJGZ2d7UBFcXVPh\n2G1JPpzk7ydZLKXcX0r5UCnl/iSLq/t/M8ntDc0HALCvHTq0tCt9AWC3DV+4sCt9Ybc0Eo7VWv80\nK3er/MEk9yd5fJKnrz5fSPKyJM9c7QcAwCamproZGqqb9hsaqpma6vagIgCA/amplWOptf5lrfXf\n1FqPJBnOSjA2XGsdqbX+cK31fzU1FwDAfjcyspTJyXOb9pucPJeRESvHANg7lg4d2pW+sFsaC8cu\nVWv901rrx6wUAwDYvomJ8zl58t51V5ANDdWcPHlvJibO96EyANhYd2oqdWjzuKEODaU7NdWDiuDq\nDjQ5WCnlUUm+OclXJXl0kqUkv5Xk52qtn2lyLgCANpiYOJ/jxx/M7Oxout2DSZLR0Ydy6lQ3R45Y\nMQbA3rM0MpJzk5M5dubMVfudm5zM0shIj6qCjTUWjpVS/l6StyS5fp3mT5ZS/mmtdb6p+QAA2mJk\nZCkzM2czPj6WJJmZOdvnigDg6s5PTCRJjnY6V9y5sg4N5dzk5Fof6LdGwrFSylcn+c9JrktyJsmv\nJPlEki9N8pwkk0neUUq5qdb6kSbmBAAAAPau8xMTefD48YzOzuZgd+XmMQ+NjqZ76lSWjhzpc3Xw\neU1dc+xlq8/PqrX+41rrT9Va31VrfXOt9R8nuemyfgAAAMA+tzQykrMzM2vbZ2dmBGPsOU2FY89M\n8o5a67pr/GutH0ryjiQnGpoPAAAAAHasqXBsOMl/36TPH672AwAAAIA9oalw7ONJvmaTPk9d7QcA\nAAAAe0JT4dgvJrm5lPIDpZTrLm0opVxXSnlJkucleWdD8wEAAADAjjVyt8okr0zyTUleleSfl1J+\nPSurxL4kK9cZe1JW7l75yobmAwAAAIAdayQcq7V+vJRyIsm/z8oKsSdc1uWXkryo1vpAE/MBAAAA\nQBOaWjmWWut9SV5QSnlskuNZufj+UpLfqrX+UVPzAAAAAEBTGgvHLqq1fizJx5oeFwAAAACa1tQF\n+QEAAABg4DS2cqyU8qgkU0m+Msljk/y19frVWp/b1JwAAAAAsBONhGOllP89Kxfdf0wT4wEAAABA\nLzR1WuXrkvytJD+U5IlJHlFrHVrv0dB8AAAAALBjTZ1W+YwkP1trfWVD4wEAAADArmtqJddnktzf\n0FgAAAAA0BNNhWO/kpXVYwAAAAAwMJoKx16a5CmllB8opZSGxgQAAACAXdXINcdqrR8tpTwryfuT\nnKDSPVMAACAASURBVCql/E6SpQ363tLEnAAAAACwU42EY6WUxyX5uSRfvPp40lW6C8cAAHpgeHEx\nT7nrrrXtG06fTndqKksjI32sCgBgb2nqbpWvTXI4yZuSvCXJx5P8VUNjA7RHKTVJUqtT1IEdOTw3\nl6OdTsry8tq+g91uTkxP59zkZM5PTPSxOgCAvaOpcOy5Se6utZ5qaDwAALbp8Nxcjp05s25bWV5e\naxOQAQA0d0H+kuS/NTQWAADbNLy4mKOdzqb9jnY6GV5c7EFFAAB7W1Ph2AeT/G8NjQUAwDaNzs4+\n7FTKjZTl5YzOzvagIgCAva2pcOwHkzy7lPIPGhoPAIBtGL5wYVf6AgDsV01dc+zvJfmVJD9dSnlR\nkg8nWVqvY6315Q3NCQAANGxsfDxJsjA/3+dKAKA3mgrHbrvk189cfWxEOAYAsEuWDh3KwW53y30B\nANquybtVAgDQZ92pqZyYnt70umN1aCjdqakeVQXsZePjY0mS+fmFPlcC0B+NhGO11vc0MQ4AADuz\nNDKSc5OTOXbmzFX7nZuczNLIyI7nu/iP6q22+cc3ALDXNLVyDACAPeL8xESS5Ginc8UKsjo0lHOT\nk2t9AADaTjgGALAPnZ+YyIPHj2d0dnbtGmQPjY6me+pUlo4c6XN1AAB7x1C/CwAAYHcsjYzk7MzM\n2vbZmRnBGADAZYRjAAAAALSWcAwAAACA1hKOwTUoJbWU1H7XAQAAADRDOAbQoFLy9FLyvku2f72U\nPL2fNQEAALAx4RhAQ0rJDyb5YJKbLtl9IskHV9sAAADYYw40NVAp5WCSW5I8PcnfTHLdev1qrc9t\nak6AvWI1/HrFBs1DSV5RSlJrXtnDsgAAANhEI+FYKeVYkvcmeUwT4wEMktXTJu/YQtc7Ssm7a81v\n7nZNAAAAbE1Tp1XemZVg7EeSHEryiFrr0HqPhuYD2Et+PFv7PB1a7QsAAMAe0dRplc9M8s5a60sb\nGg9gkBzfpb4Ae978/MIV+8bHxzZsAwDYa5payVWS/F5DYwEAAABATzQVjv1WkqMNjQUwaH57l/oC\nAMCesLg4nFtvvXFt+/TpG7K4ONzHiqA5TYVjdyR5YSnlOQ2NBzBIvi/J8hb6La/2BQCAgTE3dzjT\n0ydyzz3Xr+3rdg9mevpE5uYO97EyaEZT1xx7fJJfSPLuUsrbk3w4yafX61hrfWtDcwLsCbXmN0vJ\nbUlesUnX29ypEgCAQTI3dzhnzhxbt215uay1TUyc72VZ0KimwrE3X/Lrk6uP9dQkwjFg36k1rywl\nycpK2stX5S5nJRh7Za/rAgCA7VpcHE6ns/kVlDqdozl+/MGMjCz1oCpoXlPh2C1b7Fcbmg9gz1kN\nyN6d5MeTnFjd/b4k31trPty/ygAA4NrNzo5mebls2m95uWR2djQzM2d7UBU0r5FwrNb6U02MAzDo\nVk+bfGYpK/8ZUGue2eeSAABgWy5c2PoF96+lL+w1TV2Qv+dKKY8tpbyplPJAKeUvSin3lVJeU0p5\n9G6NU0p5XCnlJ0opHyqlfGK1/wOllPeXUl5USvnrzb1DAAAAAHbbQIZjpZQnJ/lIkm9P8sGsnMJ0\nIcl3JzlbSrl+41fvaJwnJ5lM8qkkP5vkziT/Jcljk/xEkveWUr5gB28NAAAA9oRDh7Z+DbFr6Qt7\nzbZOqyyl3JeV64fdXGu975LtTdVaD21nzsv8RJLHJPmuWusbLqnrx5J8b5JXJXnxLozz/lrreivK\nDiS5O8mzk3xrkrdd4/sBAACAPWVqqpvp6RObXndsaKhmaqrbo6qgedtdOVZWH5duD23hsfmV/Dab\neGW11/OS3HdpoLXqtiSfTXKylPLIpseptX5uvbFqrX+V5BdWN79sq+8FAAAA9qqRkaVMTp7btN/k\n5Dl3qmSgbWvlWK31iVfb3mXPWX2++/KGWuuflVLen5XQ62uT/EoPxkkp5bokL8zK6rn3bvYGAAAA\nYBBMTJxPknQ6R69YQTY0VDM5eW6tDwyqRu5W2WNHV58XN2j//ayEWkdy9VBr2+OUUg4m+a6srIR7\nzGq/v52V0zM/uEn9AAAAMDAmJs7n+PEHMzs7mm73YJJkdPShnDrVzZEjVowx+AYxHLt4f9iN/gZe\n3L/ZXSt3Ms5jkvxQVlaKXYzO35Z1VqEBAEA/jI+PJUnm5xf6XAmwH4yMLGVm5uzaZ8vMzNk+VwTN\nGci7VfZbrfXeWutQVsLFJyT5niTfmOQ3SimjfS0OAAAAgC0bxHDs4oqu4Q3aL+7/9G6PU1f8Ya31\n9Un+RVZWmd2+ybxJklJKvcrjPavP645VSrlde//ak9uzl+vTvjfaN/oo2Oz1t2f1jid7/P1p1679\nSp1OJ+Pj4+l0Ous1N9K+8gmx7vSbvv72ZNfrG+T2Xh0/e/X9a99a+379fLn4DaTfv7/7tb0Xny97\n+f1fbF+3+D1UXz/b9/L3m73Wfsn2FY/1Xr9VpdYdvb7nSilTSX4yyRtrrS9ap/3dWbkG2M211l/d\n7XEu6T+c5FNJztVav+Iq/WqS1Fp3fOdOeq+UrP757fzOq+xv2z5WLn6o9+gzwjENzVhYWOjJF6rt\nniY3Nj6eJFmYn2+8pvUM0ul8Y2NjPf3869WxkgzO8TJI9uvx4lhp3n49VhLHy27o9fGyX+0kbxnE\nlWMXg6rnlVIe9oZLKV+U5KYkn0my2YXxmxrnoi9fff6fW+wPAAAAQJ8NXDhWa72QlQvfPynJd17W\nfEeSRyZ5W631z5OklHKglHKslHJoJ+OsjnW8lHLF71kp5QuTvG518+e2+94AAAAA6K1BvFtlknxH\nkg8keX0p5eYk9yZ5RpJnJzmX5GWX9H1skm6SP8hKELbdcZLktiQ3llI+kOQPk3w2yeOSfH1WrlH2\nS0l+vIk3CAAAAMDuazQcK6V8ZZLJJF+R5FG11ptX9z8xydck+eVa6yd3Ok+t9UIp5WlJXp7k65K8\nMMkDSV6b5I5a69J6L2tgnDcm+dPV9/LsrKwueygrp152aq1v2+l7AwAAAKB3GgvHSimvSPLSZO2i\nzpeGUdcleXuS70ny+ibmq7V+LMktW+h3f65y+uhWx1nt+84k79xiiQAAAADscY1cc6yU8m1ZOQXx\n7iTHk/xwPh+Spdb60SQfTjLexHwAAAAA0ISmLsj/r5J8NMk31Vp/N8nn1ulzT5IjDc0HXEUpqaVc\neSoxAAAA8HBNhWN/N8m7aq1/eZU+DyT5kobmAwAAAIAdayocK0mWN+nzd5L8RUPzAQAAAMCONRWO\nnU9y40aNpZShJDcl+b2G5gMAAACAHWsqHJtL8tRSyvdv0P7SrFxvrNPQfAAAAACwY02FY69L8jtJ\nfrSU8qEkX58kpZQ7Sym/keTlST6Y5I0NzQcAAEAfDC8u5sZbb13bvuH06QwvLvaxIoCdaSQcq7V+\nNslzk7w1yVOTPH216fuSfHWStyV5Qa11vbtYAgAAMAAOz83lxPR0rr/nnrV9B7vdnJiezuG5uT5W\nBrB9B5oaqNb66STfXkp5SVbCsYNJlpJ8qNb6YFPzAAAA0HuH5+Zy7MyZddvK8vJa2/mJiV6WBbBj\njYVjF9VaH0ryrqbHhY0sLCzU3s021oc5t2NQ6kzGxsZKL+fr3e/J9v4Mxlaf93qd/bB/jxV2Q6+P\nF4D9bnhxMUc7m19C+minkwePH8/SyEgPqgJoRiOnVZZS/nYp5VmllC/eoP2LV9sf08R8AAAA9M7o\n7GzK8vKm/cryckZnZ3tQEUBzmrog/8uSzCf5qw3al1fbf6Ch+WCgjI2PZ2x8vN9lAADAtgxfuLAr\nfQH2gqbCsecl+eXVC/Nfodb6Z0nuTvL8huYDAAAAgB1rKhx7XJLzm/S5L8njG5oPAACAHlk6dGhX\n+gLsBU2FYzXJIzbp84gk1zU0HwAAAD3SnZpKHdr8n491aCjdqakeVATQnKbCscUkL9iosZRSsnJK\n5WarywAAANhjlkZGcm5yctN+5yYn3akSGDhNhWPvSHKslPKGUsrfuLShlPLIJG9IcizJXEPzAQAA\n0EPnJyZy78mT664gq0NDuffkyZyfmOhDZQA7c6Chcf5tkn+Q5MVJvrGU8mtJ/ijJlyd5VpIvS/Lf\nkry2ofkAuEbj42PX1DY/v7Cb5QAAA+j8xEQePH48o7OzOdjtJkkeGh1N99SpLB050ufqALankZVj\nq3epfE6Styf50iTfluQlq89fmqST5Nkb3c0SAACAwbA0MpKzMzNr22dnZgRjwEBrauVYaq2fSjJZ\nSvmeJE9P8ugkn0ryG7XWP2lqHgAAAABoSmPh2EW11j9O8otNjwsAAAAATWvqgvwAAAAAMHAaWzlW\nSjmY5JasnFL5N5Nct16/Wutzm5oTAAAAAHaikXCslHIsyXuTPKaJ8QAAAACgF5o6rfLOrARjP5Lk\nUJJH1FqH1ns0NB8AAAAA7FhTp1U+M8k7a60vbWg8AAAAANh1Ta3kKkl+r6GxAAAAAKAnmgrHfivJ\n0YbGAgAAAICeaCocuyPJC0spz2loPAAAAADYdU1dc+zxSX4hybtLKW9P8uEkn16vY631rQ3NCcA1\nmJ9fuGLf+PjYhm0AAABt0FQ49uZLfn1y9bGemkQ4BgAAAMCe0FQ4dssW+9WG5gMAAACAHWskHKu1\n/lQT4wAAAABALzV1QX4AAAAAGDjCMQAAAABaq6lrjqWU8oVJviPJ85N8eZIvuLxLklprPdTUnAAA\nAACwE42EY6WURyd5f5KvSPKnSb4oyVJWArK/vtrtgSSfa2I+AAAAAGhCU6dV/mBWgrFTSR69uu+1\nSR6V5MYkv53ko0lGG5oPAAAAAHasqXDsG5L8eq31TbXWurqvrvpgkq9PcizJyxqaDwAAAAB2rKlw\n7HFJPnzJ9nIuueZYrfWPk7wryURD8wEAAADAjjUVjn02K4HYRf8zyZdc1ud/JHlsQ/MBAAAAwI41\nFY59LCurxy7qJnlWKeXS8W9K8omG5gMAAACAHWsqHHtPkmeXUsrq9tuTPDnJfy2lfGcp5T8luSHJ\nOxuaDwAAAAB27EBD47w1K9cYe1yS/57kPyR5bpJvSvK81T7vz8pdLQEAAABgT2gkHKu1fiTJRy7Z\n/lySby6lPC3J4ST3JfnNWuvyBkMAtNrw4mKectdda9s3nD6d7tRUlkZG+lgVAADA/tfUyrF11Vo/\nnIffxRKAyxyem8vRTidl+fP/f3Cw282J6emcm5zM+Qk3+gUAANgtuxqOAXB1h+fmcuzMmXXbyvLy\nWpuADAAAYHdsKxwrpdyWpCb5d7XWT16yvala68u3MyfAfjO8uJijnc6m/Y52Onnw+HGnWAIAAOyC\n7a4cu231+e1JPnnJ9lYIxwCSjM7OPuxUyo2U5eWMzs7m7MxMD6oCAABol+2GY89dff7Dy7YB2KLh\nCxd2pS8AAABbt61wrNb6nqttAwAAAMAgGGpikFLKr5ZSXtHEWABtsXTo0K70BYDtGF5czI233rq2\nfcPp0xleXOxjRQDQG42EY0mekeS6hsYCaIXu1FTq0OYfw3VoKN2pqR5UBEBbHZ6by4np6Vx/zz1r\n+w52uzkxPZ3Dc3N9rAwAdl9T4dj5JI9raCyAVlgaGcm5yclN+52bnHSnSgB2zeG5uRw7c2bdm8SU\n5eUcO3NGQAbAvtZUOPaTScZKKU9oaDyAVjg/MZF7T55cdwVZHRrKvSdP5vzERB8qA6ANhhcXc7TT\n2bTf0U7HKZYA7FtNhWMLSX49yftKKd9VSnlGKeUJpZTHX/5oaD6AfeP8xETe9+pX56HR0bV9D42O\n5n133ikYA2BXjc7Orrti7HJleTmjs7M9qAgAem9bd6tcx0cv+fXrrtKvxrXJAK6wNDKSszMzGRsf\nT5KcnZnpc0UAtMHwhQu70hcABklT4dhbt9ivNjQfAAAAAOxYI+FYrfXbmxgHAADonaVDh3Kw291y\nXwDYj5q65hgAADBgulNT694U5nJ1aCjdqakeVAQAvSccAwCAlloaGcm5yclN+52bnMzSyEgPKqKX\nFheHc+utN65tnz59QxYXh/tYEUB/NHXNsSRJKeVrkjw/yZcn+YL1+tRab2lyTgAAYPsu3hn5aKdz\nxZ0r69BQzk1OunvyPjQ3dzidztEsL5e1fd3uwUxPn8jk5LlMTJzvY3UAvdVIOFZKKUnekuTkFroL\nxwAAYA85PzGRB48fz+js7No1yB4aHU331KksHTnS5+po2tzc4Zw5c2zdtuXlstYmIAPaoqnTKv9l\nVoKxtyZ52uq+1yW5KclLk/xpkrcneVJD8wEAsM+MjY9nbHy832W01tLISM7OzKxtn52ZEYztQ4uL\nw+l0jm7ar9M56hRLWsnPonZqKhz7J0kWk/zTWutvre77VK31bK31R5I8O8nfT3JzQ/MBAABwjWZn\nRx92KuVGlpdLZmdHe1ARQP81FY4dS/L/1FrrJfvWTtmstf52kl9M8uKG5gMAAOAaXbiw9dVg19IX\nYJA1ebfKpUt+/dkk11/W/vtJvqLB+QAAAABgR5oKxx7Iyh0qL7qQ5KmX9Tmc5DMNzQcAAMA1OnRo\nafNO2+gLMMiaCsd+Iw8Pw96Z5BmllB8qpTyllPIvk3xjkg82NB8AAADXaGqqm6Ghumm/oaGaqalu\nDyoC6L+mwrH/lOS6UsrFu1G+Osn9SW5P8v8meX2STyf51w3NBwAAwDUaGVnK5OS5TftNTp7LyIiV\nY0A7HNi8y/pKKd+YZL7Wulxr/fkkP3+xrdb6UCnlq5OcysrplPcleWut9eM7LRgAAIDtm5g4nyTp\ndI5ecefKoaGayclza30A2mDb4ViSn0vyQCnlzUnuqrX+waWNtdZPJ7lzJ8UBAADQvImJ8zl+/MHM\nzo6m2z2YJBkdfSinTnVz5IgVY0C77OS0yl9O8mVJXpbko6WUd5VSvrmUcl0zpQEAALBbRkaWMjNz\ndm17ZuasYAxopW2HY7XW5yc5lORVST6R5PlZufbYx0opP1xKOdRMiQAAAACwO3Z0Qf5a6/211v87\nyROSfEOS+SR/K8npJIullF8qpXxLKWUnp28CAAAAwK5o5G6Vtdb/r9a6UGv9xiSPT/KDSf4gyc1J\n5pL8USnlR0spR5qYDwAAAACa0Eg4dqla68drrf8mK3epfF5WwrEvTvL9Se5tej4AAAAA2K7Gw7GL\naq01ya8l+dkkv7u6u2z8Cti7FheHc+utN65tnz59QxYXh/tYEQAAANCEXbkWWCnlWJJTSf5Rkses\n7r4/yV27MR/sprm5w+l0jmZ5+fPZbrd7MNPTJzI5eS4TE+f7WB0AAACwE42FY6WUv5HkW7MSit20\nuvuvkvznJD9Za727qbmgV+bmDufMmWPrti0vl7U2ARkAAAAMph2HY6WU40n+WZJvS/Lo1d0fzcoq\nsTfXWv94p3NAPywuDqfTObppv07naI4ffzAjI0s9qAoAAABo0ravOVZKeXEp5SNJPpLkRUkeleRn\nkvyftdYjtdYZwRiDbHZ29GGnUm5keblkdna0BxUBAAAATdvJyrE3rD4vJvnJJG+ptf7JzkuCveHC\nha1fcP9a+gIAAAB7x07Csf+Y5I211vc2VQwAAACw/yzMz/e7BNjQtk+rrLX+Q8EY+9mhQ1u/hti1\n9AUAAAD2jm2HY7DfTU11MzRUN+03NFQzNdXtQUUAAJtbXBzOrbfeuLZ9+vQNWVx0CQgA2IhwDDYw\nMrKUyclzm/abnDznTpUAwJ4wN3c409Mncs8916/t63YPZnr6RObmDvexMgDYu3ZyzTHY9yYmzidJ\nOp2jV9y5cmioZnLy3FofAIB+mps7nDNnjq3btrxc1tp8dwGAh7NyDDYxMXE+r371+zI6+tDavtHR\nh3Lnne/z5RIA2BMWF4fT6RzdtF+nc9QplgBwGeEYbMHIyFJmZs6ubc/MnM2RI06lBAD2htnZ0StW\nua9neblkdna0BxUBwOAQjgEAwIC7cGHrq8GupS8AtIFwDAAAAIDWEo4BAMCAO3Ro65d7uJa+ANAG\nwjEAgAExP7+Q+fmFfpfBHjQ11c3QUN2039BQzdRUtwcVAcDgEI4BAMCAGxlZyuTkuU37TU6ey8iI\nlWMAcKkD/S4AAADYuYmJ80mSTufoFXeuHBqqmZw8t9YHAPg84RgAAOwTExPnc/z4g5mdHU23ezBJ\nMjr6UE6d6ubIESvGAGA9A3taZSnlsaWUN5VSHiil/EUp5b5SymtKKY/erXFKKUdKKadLKb9SSvnD\nUspfllI+UUr5+VLKsxt7cwAAsE0jI0uZmTm7tj0zc1YwBgBXMZArx0opT07ygSSPSfLzSe5N8owk\n353k60opN9VaP7kL47wiybcm+b0kC0k+meRYkm9I8g2llO+utf7bZt4lAAAAALttIMOxJD+RlUDr\nu2qtb7i4s5TyY0m+N8mrkrx4F8b5r0l+uNb6u5cOUkp5VpJfSvLqUso7aq2f2Na7AgDYB9xREwAY\nJAN3WuXqaq/nJbnv0kBr1W1JPpvkZCnlkU2PU2t9y+XB2Or+X0vy3iSPSHLjNb4lAAAAAPpk4MKx\nJM9Zfb778oZa658leX+SRyX52h6Nc9HnLnsGAAAAYI8bxHDs6Orz4gbtv7/6fKRH46SU8oQkNyf5\nTJJf26w/AAAAAHvDIF5zbHj1eaNb7lzcv9ldKxsZp5TyBUl+OiunVL6s1upWQAAAAAADYhBXju0Z\npZTrkrwtK9cZe3ut9ceu4bX1Ko/3rD7fvsFrb9e+cXun08n4+Hg6nc56zTtuT27f1fGbaE9Kktv3\nbH1Xax/04+Ni+3Z//2/Pyp/eXv3z6Xf7fv980T7Yx0+/399WPl/2cn2dTucqP70G//i42L6Xf/+1\nb96+X3/+XPwG0u/f3/3a3ovPl738/rVv4effHv739V5rv2T7isd6r9+qUuuOXt9zpZRXJ3lJkpfU\nWl+zTvu/S/IdSV5ca/0PuzVOWQnGziSZSDKX5B/WWpe3UH9Nklpr2awvW7OwsNCzg3h8fCzJtd+F\na2x8PEmyMD/feE3r2W6d/TA2NtbTvwu9Ol4cK83br8cKu8Px8nC9/mzZrn7UuZ+PlUH5WTRI9uvx\n4lhp3n49VpLB+v64HW34WbRf7SRvGcSVY/euPh/doP3iNcI2upbYjscppfy1JP8xK8HYTyeZ3Eow\nBgAAAMDeMojh2K+uPj+vlPKwNLCU8kVJbsrKhfE/uBvjlFIekeQdSf6vJG+ptf6jOmjL7wAAAABI\nMoDhWK31QpK7kzwpyXde1nxHkkcmeVut9c+TpJRyoJRyrJRyaCfjrI71BUl+Lsk3JLkryS1NvS8A\nAAAAem8Q71aZrFwL7ANJXl9KuTkrp0g+I8mzk5xL8rJL+j42STfJH2QlCNvuOEny75N8fZI/SfJA\nktsuW3SWJL9aa33v9t8aAAAAAL0ykOFYrfVCKeVpSV6e5OuSvDArYdVrk9xRa11a72UNjPPE1XEO\nJvmhDeZYTiIcAwD2DBfLBgDY2ECGY0lSa/1YtnBaY631/lzl9NGtjrPa9zlbrQ+SZHhxMU+56661\n7RtOn053aipLIyN9rAp2zt2pAIBB4XsLsJmBu+YYDIrDc3M5MT2d6++5Z23fwW43J6anc3huro+V\nAQAAABcN7Mox2MsOz83l2Jkz67aV5eW1tvMTE70sCwAAALiMlWPQsOHFxRztdDbtd7TTyfDiYg8q\nAgAAADZi5Rg0bHR2NmV5edN+ZXk5o7OzOTszs6P5xsfHrqltfn5hR/MBAADAfmLlGDRs+MKFXekL\nAAAANE84BgAAAEBrCcegYUuHDu1KXwAAAKB5wjFoWHdqKnVo879adWgo3ampHlQEAAAAbEQ4Bg1b\nGhnJucnJTfudm5zM0shIDyoCAAAANuJulbALzk9MJEmOdjpX3LmyDg3l3OTkWh8AAACgf4RjsEvO\nT0zkwePHMzo7m4PdbpLkodHRdE+dytKRI32uDgAAAEicVgm7amlkJGdnZta2z87MCMYAAABgDxGO\nAQAAANBawjEAAAAAWks4BgAAAEBruSA/DLj5+YUr9o2Pj23YBgAAAHyecAwAgJ4bGx+/praF+fnd\nLAeAFvKziIucVgkAAABAawnHAAAAAGgt4RgAAAAArSUcAwAAAKC1hGMAAAAAtJZwDAAAAIDWEo4B\nAAAA0FrCMQAAAABaSzgGAAAAQGsJxwAAAABoLeEYAAAAAK11oN8FAADQPgvz81fsGxsf37ANAJrm\nZxEXWTkGAAAAQGtZOQYAAABsyfz8Qr9LgMYJxwB2gS8NAAAAg8FplQAAAAC0lnAMAAAAgNYSjgEA\nAADQWsIxAAAAAFpLOAYAAABAa7lbJQAAANdsYX6+3yUANMLKMQAAAABaSzgGAAAAQGsJxwCgz8bH\nxzI+PtbvMgAAoJWEYwAAAAC0lnAMAAAAgNYSjgEAAADQWsIxAAAAAFpLOAYAA2psfDxj4+P9LgMA\nAAaacAwAAACA1hKOAQAAANBawjEAAAAAWks4BgAAAEBrCceANS7uDQAMCt9bAGiKcAwAAACA1hKO\nAQAAANBawjEAAAAAWks4BgAAAEBrCccAAAAAaK0D/S4AAAAAmnC1O5iu17YwP7+b5QADQjgGwFX5\nkgkAAOxnTqsEAAAAoLWEYwAAAAC0lnAMAAAAgNYSjgEAAADQWsIxAAAAAFpLOAYAAABAax3odwEA\nfN7C/HxP55ufX+jpfAAAAHuNlWMAAAAAtJZwDAAAAIDWEo4BAAAA0FquOQYAAMC+sN71W8fGxzds\nA0iEYwBswpdMAABgP3NaJQAAAACtJRwDAAAAoLWEYwAAAAC0lnAMAAAAgNYSjgEAAADQWsIxAAAA\nAFpLOAYAAABAawnHAAAAAGitA/0uAAAA2DsW5uf7XQIA9JSVYwAAAAC0lnAMAAAAgNYSjgEAAADQ\nWsIxAAAAAFpLOAYAAABAawnHAAAAAGitA/0uAADaanFxOHfd9ZS17dOnb8jUVDcjI0t9rAr68iSo\ntgAAGMVJREFUZ2F+vt8lANByfha1k5VjANAHc3OHMz19Ivfcc/3avm73YKanT2Ru7vBVXzu8uJgb\nb711bfuG06czvLi4a7UCAMB+JhwDgB6bmzucM2eOZXm5XNG2vFxy5syxDQOyw3NzOTE9nevvuWdt\n38FuNyemp3N4bm7XagYAgP1KOAYAPbS4OJxO5+im/Tqdo1lcHH7YvsNzczl25kzK8vIV/cvyco6d\nOSMgAwCAayQcA4Aemp0dXXfF2OWWl0tmZ0fXtocXF3O009n0dUc7HadYAgDANRCOAUAPXbgwvHmn\ndfqOzs6uu2LscmV5OaOzs9uqDQAA2kg4BgADYPjChV3pCwAAbSccA4AeOnRoaVf6AgAA2yMcA4Ae\nmprqZmiobtpvaKhmaqq7tr106NCW57iWvgAA0HbCMQDooZGRpUxOntu03+TkuYyMfH7lWHdqKnVo\n8x/bdWgo3ampHdUIAABtIhwDgB6bmDifkyfvXXcF2dBQzcmT92Zi4vzD9i+NjOTc5OSmY5+bnMzS\nyEhjtQIAwH43sOFYKeWxpZQ3lVIeKKX8RSnlvlLKa0opj96tcUopB0op311KeXMp5XdKKf+rlLJc\nSvFf9ABck4mJ83n1q9+X0dGH1vaNjj6UO+983xXB2EXnJyZy78mT664gq0NDuffkyZyfmNi1mgHY\nn+bnFzI/v9DvMgD65kC/C9iOUsqTk3wgyWOS/HySe5M8I8l3J/m6UspNtdZP7sI4X5jkNUlqkv+R\n5ONJHre6DQDXZGRkKTMzZzM+PpYkmZk5u+lrzk9M5MHjxzM6O5uD3ZVrkj00OpruqVNZOnJkV+sF\n6Jex8fFraluYn9/NcgDYZwZ15dhPZCXQ+q5a6zfXWl9aa705K8HV0SSv2qVxPpPk65N8Wa31y5K8\nuYH3AgDXZGlkJGdnZta2z87MCMYAAGCbBm7l2Opqr+clua/W+obLmm9L8i+SnCylvKTW+tkmx6m1\nfi7Juxt6K9BX/gcWAAAABnPl2HNWn+++vKHW+mdJ3p/kUUm+tkfjAAAAADCgBjEcO7r6vLhB+++v\nPm92fklT4wAAAAAwoAYxHBtefV7aoP3i/s3uWtnUOAAAAAAMqEEMxwAAAACgEYMYjl1c0TW8QfvF\n/Z/u0TjbUkqpV3m8Z/X59g1ee7v2jds7nU7Gx8fT6XTWa95xe3L7ro7fRHtSktx+1dev37ryqo1f\nvfv1D/rx0Zb229dtHfzjw/Gzv9sdH9r3wufLXn3/e7399lz9+8lm7U3V5+fPYLbfnpXjYz9/vuzl\n33/tm7fv5X9f77X2S7aveKz3+q0qte7o9T1XSplK8pNJ3lhrfdE67e/Oyl0ob661/upujrP6h/ND\nSU7VWt+0xfprktRay1b6s7mFhYWeHcTj42NJkvn5hWt63cW7P/bqjo9bqfNqd6tcz27VPjY21tO/\nC708XvazXh/Tyf4+Vgbls2WQ7OfjhWbt52Nlu58te5HvLeyE7y3sdb0+XvarneQtg7hy7GJQ9bxS\nysPecCnli5LclOQzST7Yo3EAAAAAGFADF47VWi8kuTvJk5J852XNdyR5ZJK31Vr/PElKKQdKKcdK\nKYd2Mg4AAAAA+8+BfhewTd+R5ANJXl9KuTnJvUmekeTZSc4ledklfR+bpJvkD7IShG13nCRJKeVf\nJzm2uvlVq8+3lFKetfrrX6+1zu7gvQEAAADQIwMZjtVaL5RSnpbk5Um+LskLkzyQ5LVJ7qi1Lq33\nsobGeUGS/+OS8WqSG5LcuPrr5STCMQAAaMh614py3UUAmjKQ4ViS1Fo/luSWLfS7P1c5fXSr41zS\n/zlb7QsAAADA3jaw4Rj0w36429NF/gcWAAAAhGMAALAv7af/1AOA3TRwd6sEAAAAgKYIxwAAAABo\nLeEYAAAAAK0lHAMAAACgtYRjAAAAALSWcAwAAACA1hKOAQAAANBawjEAAAAAWks4BgAAAEBrHeh3\nAUDz5ucX+l0CAAAADAQrxwAAAABoLeEYAAAAAK0lHAMAAACgtYRjAAAAALSWcAwAAACA1hKOAQAA\nANBawjEAAAAAWks4BgAAAEBrHeh3AdAGC/Pz/S4BAAAAWIeVYwAAAAC0lnAMAAAAgNYSjgEAAADQ\nWsIxAAAAAFpLOAYAAABAawnHAAAAAGitA/0uAIDBszA/3+8SAAC2xPcWYDNWjgEAAADQWsIxAAAA\nAFpLOAYAAABAawnHAAAAAGgt4RgAAAAArSUcAwAAAKC1hGMAAAAAtJZwDAAAAIDWEo4BAAAA0FrC\nMQAAAABaSzgGAAAAQGsJxwAAAABoLeEYAAAAAK0lHAMAAACgtYRjAAAAALSWcAwA2JLx8bGMj4/1\nuwwAAGiUcAwAAACA1hKOAQAAANBawjEAAAAAWks4BgAAAEBrCccAAAAAaC3hGAAAAACtJRwDAAAA\noLWEYwAAAAC01oF+FwAA7G9j4+NJkoX5+T5XAuwnPlMAaIpwDFjjSyYAAABt47RKAAAAAFpLOAYA\nAABAawnHAAAAAGgt1xwDAK4wPj52TW3z8wu7WQ4AAOwaK8cAAAAAaC3hGAAAAACtJRwDAAAAoLWE\nYwAAAAC0lgvyAwCNGRsfv6a2hfn53SwHAAA2ZeUYAAAAAK0lHAMAAACgtYRjAAAAALSWcAwAAACA\n1hKOAQAAANBawjEAAAAAWutAvwsAAPae+fmFK/aNj49t2AYAAIPKyjEAAAAAWks4BgAAAEBrCccA\nAAAAaC3hGAAAAACt5YL8AEBjFubnr9g3Nj6+YRsAAPSblWMAAAAAtJaVYwDQZ/PzC9t6nZVYAACw\nc1aOAQAAANBawjEAAAAAWks4BgAAAEBrCccAAAAAaC3hGAAAAACtJRwDAAAAoLWEYwAAAAC01oF+\nFwAADIb5+YV+lwAAAI2zcgwAAACA1hKOAQAAANBawjEAAAAAWks4BgAAAEBrCccAAAAAaC13qwQA\ndtXC/Hy/SwAAgA0JxwAAAICBNT4+dk395+cXdqkSBpXTKgEAAABoLeEYAAAAAK3ltEoAAKAnnPrE\nVjlWgF6ycgwA4P9v786DLqnKO45/fwxYKJEhyqKCCsimViIqo4gUi0gIFovBNcbIgJJEE8FUihgR\nAySopSZSonGjVHZGg5UQ1LiALMqmjIhaCJKwiKgsEQfZFOHJH91XX67vffe7zf1+qm4d3u7TfZ+e\nOvQ57/OePi1JkqSJZXJMkiRJkiRJE2ssk2NJtkjyySQ/TvJAkhuTnJBko36fJ8kuSb6Q5GdJ7kty\ndZIjkozlv6VG35lnnjnsEDQmbCuaD9uL5sq2ovmwvWiubCuaD9uL+m3sEjpJngasBlYClwPvB24A\njgAuS/K4fp0nyYHAxcCuwGeBDwKPAk4AVi3isqSezjrrrGGHoDFhW9F82F40V7YVzYftRXNlW9F8\n2F7Ub2OXHAM+DGwCvLmqDqqqo6pqL5oE1fbAO/txniQbAicBDwJ7VNVhVfVWYEfgMuDlSV61BNcn\nSZIkSZKkARmr5Fg722tv4Maq+reu3ccA9wGvTfKYPpzn5cDGwKqq+lZnY1X9Eji6/fGN87wkSZIk\nSZIkDdFYJceAPdvyy907quoe4BJgA2DnPpznRW35xWnOdzFwP/CCJOvN8t2SJEmSJEkaEeOWHNu+\nLX/QY//1bbltH87T85iqegi4EVgX2HqW75YkSZIkSdKIWHfYAczT8rZc02N/Z/tsb61cyHmWAzXL\nMZnDd0uSJEmSpCVy7rmfG3YIGnPjlhxbaySpYceg8bH//vsPO4R+8v+FJWRb0XzYXjRXthXNx1K2\nlxFseraXJWRb0XzYF6mfxu2xys6sreU99ne2/7wP5+nMDFvsd0uSJEmSJGlEjNvMsWvbcvse+ztr\nhPVaS2wx57kOeG57zFVTKydZF9gKeBC4YaYvrqrMEpskSZIkSZIGZNxmjl3QlnsneUSSKcljgRcC\n9wKX9+E857flH09zvt2ARwOXVtWDs12EJEmSJEmSRsNYJceq6gbgyzSztP66a/dxwGOA06rqfmhm\ndCXZIcnWizlP62zgTuDVSZ7b2ZhkfeD49sePLOLyJEmSJEmSNGCpGq9139pE16XApsA5NI9IPh/Y\ng+bRx12q6q627pY0jzneXFVbLfQ8U445kCZJ9gCwCrgLOADYDvj3qnrVEl+uJEmSJEmS+mjskmMA\nSbYA/onmEcfHAz8G/gM4rqrWTKm3JU1y7Kaq2nqh5+k6Zhfg7cALgPWB64FPAifWOP5jSpIkSZIk\nTbCxTI5JkiRJkiRJS2Gs1hyTJEmSJEmSlpLJMUmSJEmSJE0sk2PSiEry9iQPt5/thh2PRsuUtjH1\n80CSG5OcnGSHYceo0dO+wfmDSb6XZE2SXya5Ncnnkhya5FHDjlGDN5f+JsnKHvedu5OsTvK2JI8e\ndOwavPmMT5I8Psk7klya5M4kv2rLi9s2s+mg4lb/LWZskmSDJG9J8tUkt7f9011JrkhyfJKteh2r\n8TGI/saxjhbKNcekEZQkNC+TeGq76V+r6sghhqQRk+RhoIDjpmxeTvPW3V2Ae4Fdq+rqIYSnEZTk\nH4FjgNC8rflK4BfAE4DdgG2B1VW1YmhBauDm2t8kWUnzAqJvA//Zbl4HeCKwP007+hqwZ1U93Oew\nNSTzGZ8k2Q84HdiQ5gVWFwK30/RVK4DnAfcB21TVbf2NXIOw0LFJkp2Bs4EnAbcA59O8KO0xwLPb\nYwF2rqqr+nkN6p9B9DeOdbQYJsekEZRkH+C/gVOBfWlu8JtX1YNDDUwjozMArapl0+w7Efgb4JSq\nOmTgwWnkJDkKOB74IfCKqvrmNHX2AY6sqhcPOj4Nz1z7mym/rJxcVYd27VsOfAd4Ms0vKxcNIHQN\nwTzay+7AecCvgDdW1anTnOvpwAeAN1TVD/sdu/pvIWOTdjbZFTSJsKNoEibdCY8nA+8BPlpVF/fx\nEtRH/e5vHOtosXysUhpNh7Xlx4EzgI2BPxleOBozX2nLjYcahUZCki2BY2l+SX3JdINFgKr6EvCS\ngQWmUbHo/qaq1tD8dR6876ztZm0vSdYBPgYsA46YLjEGUFXfB/ahmSGktV+vsckHgccC76mq9003\n87Sqbqmq1wCX9zlG9Vff+hvHOloKJsekEZNkM+AA4AdVdSnwqXbXXwwvKo2Zzl/DrpyxlibFIcC6\nwGer6pqZKlbVrwYTkkbBUvU37V/yVwAPAT7ytJaaR3vZHdgO+BHwiZnOWY1fL3WsGkm/MzZp1xHb\nC7gfeO9sJ7CPGl8D6G8c62jR1h12AJJ+R+fmfjJAVX03yVXAnkmeVlX/O8zgNFKSpLOuAjTruqyg\nWZvjXOBfhhWYRsqubXn+UKPQKFpIf/PsJMe2/70OsBmwH83Mj8Or6oa+R61hmWt76dxzLizXb5lE\n8xmbdNrK6qq6e3Ahagj63d841tGimRyTRki7UOUbaP4aMvUxhE8BJ9JMR/6HIYSm0XXMNNuuAVZV\n1b2DDkYj6Ylt+aOhRqGRsoj+5lntZ6oCVgEXLH2kGgXzbC/eczTXsYltZQIMqL+xLWnRfKxSGi0v\nArYGvlJVU9fgOJPmGfqVSUxqq6Oqap3OB9iA5o1QtwFnJDl+uOFJGmEL7W9O7rrvbAb8OfBHwBVJ\nnt3vwDUUjk80V45N1M3+RmPB5Jg0WjrP3Z8ydWNV/Qz4HLApcOCgg9J4qKr72wVID6J5XfrfJ9li\nyGFp+H7SlrYFTbUk/U1V3VFVZ9L81f+xwLuXOE6Nhvm0F+85+o1ZxiadRMnmQwlOgzKI/sb7jhbN\n5Jg0IpJsAry0/fGsJA9P/dAMKsCF+TWL9k0+P6B5dP45Qw5Hw/e1ttxrqFFoZPSpv/lGW65Yqjg1\nGhbQXjr3nN3bN1dKvcYmX2/LnZJsOJTA1FcD7G8c62jRnP4sjY6DgfVo3uLz7R51DgRenGTLqrpp\nUIFpLP1+W2bGWpoEnwLeBrwsyfFV9f1eFZM8yrc4TYR+9Dede47JkLXPvNoLcBFwHbA9zSLcPd9Y\n2a5FtMw3Vk6MR4xNquqmJOfRvMnySOAdMx1sHzWWBtXfONbRopkck0bHYTSLTL6pqq6crkKSnwJH\n0yxqefQAY9MYSfJSYEuadRwuHW40Graqurl929M7gc8neUVVre6ul2Rfml9OXjTgEDV4S9rfJFkG\nHNH+eOHShakRMa/2UlVHJ/lL4DzgxCQPVNUZ0xzzTJrFuA8Fbu5b9BoJM4xNDgcuB96W5C7gA1X1\nUNexTwHeB3yYJvmq8TGQ/saxjpZCfMOyNHxJ9gC+Cnynqnacod5TgRtpnqt/SvfgQZOjnYoOcBy/\nnR22AfAMYF+agciRVfX+IYSnEZTkHTRvEFuH5heT1cA9NAvc7gZsA3yzqp4/tCDVdwvtb2gWQf4k\ncDVwzpSqm9L8krEdcAewa1Vd35fgNXCLGZ8k2Q84DVhO8zjdRTRtZDmwE/A8mnvQNlV1Rz+vQ4Ox\n0LFJkucDZ9OsPXYLTZv7cXvss4AX0rzpcOequrrPl6ElMoz+xrGOFsPkmDQCkpwO/ClwRFV9aJa6\nX6KZfn5QVZ0zU12tvdoBaPHIxyYfAm6nWYvhQ1V1/jBi0+hKsgPwJmBPmgHo+sCdNI86nA2cXlUP\nDi9C9dtC+xtgI5rHVrrvO/cDNwFfAt5bVT/tQ9gaksWOT5I8juaesy/NY5YbAncD1wJfAD5eVXf2\n7wo0SIsZmyTZgGaW0QHAM2kenbsX+B/gyzRtxRmGY2RY/Y1jHS2UyTFJkiRJkiRNLBdNlSRJkiRJ\n0sQyOSZJkiRJkqSJZXJMkiRJkiRJE8vkmCRJkiRJkiaWyTFJkiRJkiRNLJNjkiRJkiRJmlgmxyRJ\nkiRJkjSxTI5JkiRJkiRpYpkckyRJkiRJ0sQyOSZJkiRJkqSJZXJMkiRJkiRJE8vkmCRJkiRJkiaW\nyTFJkiRJkiRNLJNjkiRJkiRJmlgmxyRJkrRgSfZI8nCSYxZ5npXteQ5eqtgkSZLmwuSYJEnSGGkT\nSA8neSjJ1jPUu2BK3UEknGrEziNJkjQnJsckSZLGz6+BAK+fbmeSbYHd23pgwkmSJKknk2OSJEnj\n5zbgSuCQJMum2f+Gtjx3cCFJkiSNJ5NjkiRJ46eAk4AnAPtN3ZFkPWAlcAlwTa8TJNk2yalJbk3y\ny7Y8Jck2PepvluQTSW5Lcl+Sq5K8bqYgkzwuybuTfL895udJzkuy9zyvV5IkqW9MjkmSJI2ns4B7\n+e0ssY4DgE1okmeZ7sAkK2hmnv0ZcAXwPuBy4LXAlUl26qq/MXApcAhwLXAC8G3go8Df9viOpwKr\ngbfSzHT7CPBp4OnAF5N0xy1JkjQU6w47AEmSJM1fVd2TZBWwMsnmVXVru+swYA3wGeDo7uOSBDgV\n+D3gtVV11pR9rwRWAacleUZVddYqexewFXBCVf3dlPofAi7rEeIpwJOBV1fVZ6Ycsxy4EDgxyX9V\n1e3zv3pJkqSl48wxSZKk8XUSsAw4FH4zW2tv4IyqeqDHMbsA2wOXTU2MAbRJrK+3+3dtz7kezQyz\nu4Fju+qvBs7o/oIkzwJ2Az47NTHWHrOmPc/6wMvmfKWSJEl94swxSZKkMVVV30jyXeDQJMfTPGIZ\nmqRZL89py6/22H8BTWJsR+BrwA7Ao4FvVtUvpql/EXBw17YXtOVGSY6d5phN2vLpM8QpSZI0ECbH\nJEmSxttJwInAvjRrgl1ZVVfPUH95W/6kx/7O9o266t/Wo/5Pp9n2+Lbcu/1Mp4ANeuyTJEkaGB+r\nlCRJGm+nAfcDHwOeBHx8lvpr2vIJPfY/satep9ysR/3pztM55vCqWqfHZ1lVvX6WWCVJkvrO5Jgk\nSdIYa9fwOhvYHLiH5i2WM/lWW+7ZY/+eXfWupUm+7Zhkw2nq7zHNts4i/bvNEoskSdLQmRyTJEka\nf0cDLwX2qap7Z6pYVZcA1wG7JnnEgvhJXk6z3th1VfX1tv6DwOnAhnQtyJ9kJ5rF+ru/YzXNemUH\nJTlkujiS/EGSTabbJ0mSNEiuOSZJkjTmquoW4JZ5HHIw8BXg00nOoUmWbU+TYLsbeF1X/aOAvYC3\ntAmxS2gev3wl8HnggGm+4zU0i/5/IsnhwDeAnwNbAH8IPBPYGbhjHnFLkiQtOZNjkiRJa69qP4/c\n2LzlcgXNjLMXA/vTJKnOAP65qq7vqv9/SV4IvKutuxPN45Z/BdzMNMmxqro1yXOBNwMvo0mWLaNZ\n8P8a4APA92aLVZIkqd9S5RhEkiRJkiRJk8k1xyRJkiRJkjSxTI5JkiRJkiRpYpkckyRJkiRJ0sQy\nOSZJkiRJkqSJZXJMkiRJkiRJE8vkmCRJkiRJkiaWyTFJkiRJkiRNLJNjkiRJkiRJmlgmxyRJkiRJ\nkjSxTI5JkiRJkiRpYpkckyRJkiRJ0sQyOSZJkiRJkqSJZXJMkiRJkiRJE8vkmCRJkiRJkiaWyTFJ\nkiRJkiRNLJNjkiRJkiRJmlj/D3p3wCRX5LJVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115295250>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Qj8A/JeybsC3VhpfzE96U8JnLMolMomqTVwFvpUqwvRK4MSJuo1qX7HSqJNFK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\nAAAAxjVL3jLWM9cAAAAAYOHsHnJQVV2QpJP8bnffsGx7Td3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k4LAhh6wx6re9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115982590>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 619
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(metric=\"corr\"), dict(metric=\"rsq\"), \"corr\", \"Rsq\", \n",
    "        data_params, data, verbose=False, nboots=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare ridge regression vs. ordinary least squares (OLS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 389,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ridge MSE: Orig: 0.000119, Fixed: 0.000049, Ratio: fixed 2.437x better\n",
      "ols MSE:  Orig: 0.000208, Fixed: 0.000049, Ratio: fixed 4.217x better\n",
      "\n",
      "ridge vs. ols fixed MSE: ridge 1.009x better\n",
      "\n",
      "ridge Variance: Orig: 0.000071, Fixed: 0.000034, Ratio: fixed 2.088x better\n",
      "ols Variance: Orig: 0.000117, Fixed: 0.000033, Ratio: fixed 3.532x better\n",
      "\n",
      "ridge vs. ols fixed variance: ridge 0.983x better\n",
      "\n",
      "ridge Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.19224234e-02  -4.26930503e-03\n",
      "  -1.02052359e-02  -3.01114730e-03   7.71491734e-03], \n",
      "Fixed: [ -5.65157377e-05   4.04966238e-03  -4.32686625e-03  -1.13450182e-03\n",
      "  -6.60942897e-03  -4.59421173e-03  -1.93356757e-03], \n",
      "Ratio: fixed 1.740x better\n",
      "\n",
      "ols Bias: \n",
      "Orig: [-0.00521448 -0.00294641 -0.02140037 -0.00402971 -0.00639225  0.00076654\n",
      "  0.00895285], \n",
      "Fixed: [-0.00233116  0.00156539 -0.00577904 -0.00160878 -0.0064211  -0.00502895\n",
      " -0.00125605], \n",
      "Ratio: fixed 2.072x better\n",
      "\n",
      "ridge vs. ols fixed bias: ridge 1.057x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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VkCwzJ1M8AXIJcATwUNl+LsWe5tMoHvy3fgfvr63VfS5vKi8n7lwH9ANuyMyf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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c41be10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cdwHPBi5u7a+jW9P9fLqNE7cd8v5m29Drcp/ytn78h4GN6fIVH59V/8/pNrLY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\ngAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8bd2d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 619
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(use_ols=False), dict(use_ols=True), \"ridge\", \"ols\", \n",
    "        data_params, data, verbose=False, nboots=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare correction with unconstrained bias vs. negative-only bias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 390,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "uncons-bias MSE: Orig: 0.000119, Fixed: 0.000049, Ratio: fixed 2.437x better\n",
      "negonly-bias MSE:  Orig: 0.000119, Fixed: 0.000079, Ratio: fixed 1.505x better\n",
      "\n",
      "uncons-bias vs. negonly-bias fixed MSE: uncons-bias 1.619x better\n",
      "\n",
      "uncons-bias Variance: Orig: 0.000071, Fixed: 0.000034, Ratio: fixed 2.088x better\n",
      "negonly-bias Variance: Orig: 0.000071, Fixed: 0.000058, Ratio: fixed 1.211x better\n",
      "\n",
      "uncons-bias vs. negonly-bias fixed variance: uncons-bias 1.725x better\n",
      "\n",
      "uncons-bias Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.19224234e-02  -4.26930503e-03\n",
      "  -1.02052359e-02  -3.01114730e-03   7.71491734e-03], \n",
      "Fixed: [ -5.65157377e-05   4.04966238e-03  -4.32686625e-03  -1.13450182e-03\n",
      "  -6.60942897e-03  -4.59421173e-03  -1.93356757e-03], \n",
      "Ratio: fixed 1.740x better\n",
      "\n",
      "negonly-bias Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.19224234e-02  -4.26930503e-03\n",
      "  -1.02052359e-02  -3.01114730e-03   7.71491734e-03], \n",
      "Fixed: [ 0.0002859   0.00747945 -0.00443715  0.00161245 -0.0065841  -0.00440845\n",
      " -0.00194024], \n",
      "Ratio: fixed 1.477x better\n",
      "\n",
      "uncons-bias vs. negonly-bias fixed bias: uncons-bias 1.178x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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7q8h044NlKSISIDOXaFipJEnScqf6dxL+O0nqVB36GyTiDsq0xVbcSeZuSxBa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\nfHjDOKZOnco111zDfffdx4s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56u3vujKWjvob8OCDDxIR7Lvvvl0djpZcbUH+2zs7Mbas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\n+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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11416b6d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
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6P1/JmkFbS/smrmm5xQs4Qk6SJEmSJGkd3by/+OMiBzKbQ/rxGVW1ZVVdr7/O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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11677f790>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 626
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(neg_only=False), dict(neg_only=True), \"uncons-bias\", \"negonly-bias\", \n",
    "        data_params, data, verbose=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare bulked features vs. raw features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 391,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bulked MSE: Orig: 0.000058, Fixed: 0.000048, Ratio: fixed 1.218x better\n",
      "raw MSE:  Orig: 0.000133, Fixed: 0.000050, Ratio: fixed 2.642x better\n",
      "\n",
      "bulked vs. raw fixed MSE: bulked 1.054x better\n",
      "\n",
      "bulked Variance: Orig: 0.000038, Fixed: 0.000027, Ratio: fixed 1.427x better\n",
      "raw Variance: Orig: 0.000086, Fixed: 0.000035, Ratio: fixed 2.425x better\n",
      "\n",
      "bulked vs. raw fixed variance: bulked 1.318x better\n",
      "\n",
      "bulked Bias: \n",
      "Orig: [-0.00333379 -0.00272585 -0.00254136 -0.00598548 -0.00594005 -0.00568953\n",
      " -0.00325295], \n",
      "Fixed: [-0.001496   -0.00098281 -0.00091819 -0.00602356 -0.00605834 -0.0058898\n",
      " -0.00587406], \n",
      "Ratio: fixed 1.082x better\n",
      "\n",
      "raw Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.20596230e-02  -4.01393494e-03\n",
      "  -1.00680363e-02  -2.87394773e-03   7.32234768e-03], \n",
      "Fixed: [  3.27566472e-05   4.10031100e-03  -4.44120280e-03  -9.24016110e-04\n",
      "  -6.43691536e-03  -4.47720272e-03  -2.39126611e-03], \n",
      "Ratio: fixed 1.698x better\n",
      "\n",
      "bulked vs. raw fixed bias: bulked 0.837x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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lWPaoM5pNxczMcynWFh8E/CgiDm9S9g/eSBR9LiIujYg1g2UiYnhEHBgRl1LM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\nLGzXfLnQRn4Pnv7sZ2fP5z+/ofb+4Uu/NO9829saGduw2q1zJRme+eK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qb77aliuWKk6N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\nJEmSJE0tk2OSJEmSJEmaWv8PIsu2IU7yyZIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113e24d50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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T72yaZbBD1yYVD6JZ9vqCJC8DTmir31tV3+vpsg/NEtWfVdVpA8a8BPg+sKht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\n3Ld194nx/m9K8qdJ7pbkgu7+0KxjXpLkh5Kc091/vcLX3UnS3bWS4wF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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ee640d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 626
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(use_features=\"bulked\"), dict(use_features=\"raw\"), \"bulked\", \"raw\", \n",
    "        data_params, data, verbose=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare same-size models vs. raw features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 392,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "same MSE: Orig: 0.000202, Fixed: 0.000060, Ratio: fixed 3.386x better\n",
      "raw MSE:  Orig: 0.000119, Fixed: 0.000049, Ratio: fixed 2.438x better\n",
      "\n",
      "same vs. raw fixed MSE: same 0.819x better\n",
      "\n",
      "same Variance: Orig: 0.000172, Fixed: 0.000038, Ratio: fixed 4.546x better\n",
      "raw Variance: Orig: 0.000071, Fixed: 0.000034, Ratio: fixed 2.089x better\n",
      "\n",
      "same vs. raw fixed variance: same 0.892x better\n",
      "\n",
      "same Bias: \n",
      "Orig: [ 0.00189871  0.0025039   0.00264617 -0.00535205 -0.00564304 -0.00544222\n",
      " -0.00991922], \n",
      "Fixed: [ 0.00055604  0.0010336   0.00232928 -0.00542048 -0.00593127 -0.0058617\n",
      " -0.00677266], \n",
      "Ratio: fixed 1.197x better\n",
      "\n",
      "raw Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.19224234e-02  -4.26930503e-03\n",
      "  -1.02052864e-02  -3.01114730e-03   7.71496784e-03], \n",
      "Fixed: [ -5.66758619e-05   4.04972972e-03  -4.32671457e-03  -1.13434169e-03\n",
      "  -6.60919910e-03  -4.59436341e-03  -1.93379745e-03], \n",
      "Ratio: fixed 1.740x better\n",
      "\n",
      "same vs. raw fixed bias: same 0.814x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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9DQK+2Zlj7ICflMdPRsRaY6vW0YcIboyI2Bq4rHx7fmbek5k/pXg4wBbAz8rZ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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116766ed0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HdS3dZeGafEJLL2DIxLqeLw8G45rejLcC/n4ws6puoFtvL3TLVvU7pKVvHxaM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\nlYxuWd25SP27JfnbJJ/r7nuu5INV1WeS3DPJP+/uPz9JPausAjDVrLI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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113ddcbd0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 626
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(use_features=\"same\"), dict(use_features=\"raw\"), \"same\", \"raw\", \n",
    "        data_params, data, verbose=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare L2 vs. L1 bias minimization in correction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 393,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min-L2-bias MSE: Orig: 0.000133, Fixed: 0.000050, Ratio: fixed 2.642x better\n",
      "min-L1-bias MSE:  Orig: 0.000119, Fixed: 0.000087, Ratio: fixed 1.375x better\n",
      "\n",
      "min-L2-bias vs. min-L1-bias fixed MSE: min-L2-bias 1.721x better\n",
      "\n",
      "min-L2-bias Variance: Orig: 0.000086, Fixed: 0.000035, Ratio: fixed 2.425x better\n",
      "min-L1-bias Variance: Orig: 0.000071, Fixed: 0.000065, Ratio: fixed 1.089x better\n",
      "\n",
      "min-L2-bias vs. min-L1-bias fixed variance: min-L2-bias 1.835x better\n",
      "\n",
      "min-L2-bias Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.20596230e-02  -4.01393494e-03\n",
      "  -1.00680363e-02  -2.87394773e-03   7.32234768e-03], \n",
      "Fixed: [  3.27566472e-05   4.10031100e-03  -4.44120280e-03  -9.24016110e-04\n",
      "  -6.43691536e-03  -4.47720272e-03  -2.39126611e-03], \n",
      "Ratio: fixed 1.698x better\n",
      "\n",
      "min-L1-bias Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.19224234e-02  -4.26930503e-03\n",
      "  -1.02052359e-02  -3.01114730e-03   7.71491734e-03], \n",
      "Fixed: [  4.76989235e-04   8.04533419e-03  -4.45177392e-03   7.11033803e-05\n",
      "  -6.59421002e-03  -4.44261962e-03  -1.92971934e-03], \n",
      "Ratio: fixed 1.519x better\n",
      "\n",
      "min-L2-bias vs. min-L1-bias fixed bias: min-L2-bias 1.141x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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iCuxOVUXzWTG1cVO6gTI59TmKxfzHRMTXKaZT9gVuzMwbqutHxAcoRofNAa6p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      "text/plain": [
       "<matplotlib.figure.Figure at 0x115983450>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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u6tC/wUF3nJDksm7dtkuS/GuSzeey7/2q6oaqOm+S9Ito3xPAI2Z6vyS7JPl4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114891790>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 626
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(minimize=\"l2\"), dict(minimize=\"l1\"), \"min-L2-bias\", \"min-L1-bias\", \n",
    "        data_params, data, verbose=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare ideal models vs. raw features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 394,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ideal MSE: Orig: 0.000186, Fixed: 0.000048, Ratio: fixed 3.919x better\n",
      "raw MSE:  Orig: 0.000133, Fixed: 0.000050, Ratio: fixed 2.642x better\n",
      "\n",
      "ideal vs. raw fixed MSE: ideal 1.058x better\n",
      "\n",
      "ideal Variance: Orig: 0.000102, Fixed: 0.000033, Ratio: fixed 3.120x better\n",
      "raw Variance: Orig: 0.000086, Fixed: 0.000035, Ratio: fixed 2.425x better\n",
      "\n",
      "ideal vs. raw fixed variance: ideal 1.083x better\n",
      "\n",
      "ideal Bias: \n",
      "Orig: [-0.00490585 -0.00320983 -0.02105005 -0.00365657 -0.00598351  0.00174667\n",
      "  0.00786299], \n",
      "Fixed: [-0.00204621  0.00148446 -0.00565482 -0.00179866 -0.00631727 -0.00466926\n",
      " -0.00103296], \n",
      "Ratio: fixed 2.105x better\n",
      "\n",
      "raw Bias: \n",
      "Orig: [  7.66829301e-05   2.30875002e-03  -1.20596230e-02  -4.01393494e-03\n",
      "  -1.00680363e-02  -2.87394773e-03   7.32234768e-03], \n",
      "Fixed: [  3.27566472e-05   4.10031100e-03  -4.44120280e-03  -9.24016110e-04\n",
      "  -6.43691536e-03  -4.47720272e-03  -2.39126611e-03], \n",
      "Ratio: fixed 1.698x better\n",
      "\n",
      "ideal vs. raw fixed bias: ideal 0.991x better\n"
     ]
    },
    {
     "data": {
      "image/png": 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TJk06OCICuKJ9+dSpU/98xRVXjN1hhx0CiCFDhowaN27cJu95z3vimmuu2fmT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\nrW8BMG/ePO644w4efPBB5s6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wZrADA5RniMxcdSUyglwEbaxWQce5y3RXLKpRsUF7Csgo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\nMjkmSZIkSZKkiWVyTJIkSZIkSRPr/wHisg9gNxxrmAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a37f590>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 611
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rk5mPn2vHu0emtcTS4cBPgD8fUL413XC4YuHJtc31h8A36JJh7wbe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\nkiRJkiRJ6ugPMdrGIAcRLRYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114a0bd50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 381,
       "width": 619
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(dict(use_features=\"ideal\"), dict(use_features=\"raw\"), \"ideal\", \"raw\", \n",
    "        data_params, data, verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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