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Gaussian Process with PyMC3 and GPflow with non-Gaussian likelihood
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cmap\n",
"cm = cmap.inferno\n",
"\n",
"import numpy as np\n",
"import scipy as sp\n",
"import theano\n",
"import theano.tensor as tt\n",
"import theano.tensor.nlinalg\n",
"import sys\n",
"sys.path.insert(0, \"../../..\")\n",
"import pymc3 as pm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Data and code modified from the example provided on the [PyMC3 website](http://pymc-devs.github.io/pymc3/notebooks/GP-introduction.html#Example-1:-Non-Linear-Regression)\n",
"\n",
"# Generate Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6nVLJ2KNcLqvZbKparT75vjp79qympqY0NTW1py3vIwCDxjpEAIDIGo2GKpWKOp3OnlLJ\nQRAoCALV63WVy2WFYajFxUWtrKxoc3NT+Xxes7Ozmpub4yAWkfE+AtCvXtYhIiECAEQShqFKpZLa\n7faRbVgsEwAwCliYFQAwcAsLCycuoMlimQCAtCEhAgBEsrq6GikhYrFMAECakBABACKJuggmi2UC\nANKEhAgAEAmLrmKUHVf9EACOQ0IEAIiERVcxqhqNhkqlkpaXl9VqteTuarVaWl5eVqlUUqPRGHaI\nAEYYVeYAAJFQZQ6jiPclgMNQZQ4AMHAsuopRRPVDAKdFQgQAiKxcLqvZbKpare6Zq1GtVtVsNlUu\nl4cdIjKG6ocAToshcwAAILUmJiYU5VhmYmJCW1tbCUQEYBQwZA4AAGQC1Q8BnFZsCZGZPdPMPmJm\nf2NmnzaztxzS5qVmtmFmj3YvvxBXPAAAYPxQ/RDAacXZQ3RZ0ry73yDphZLuMbMbDmn35+5+U/dy\nb4zxAACAMTM/Px8pIZqbm0soIgBpE1tC5O5fcvePd/9uSXpM0rVxPR8AAMgeqh8COK1E5hCZ2XlJ\nN0t6+JC7X2RmnzCzhpk994jHV81szczWLl68GGOkAAAgbah+COA0Yq8yZ2Z5Sf+PpH/j7h/Yd19B\n0rfcfdPMXinp19z92cdtjypzAAAAAI4zMlXmzCyQ9PuS3rc/GZIkd/+6u292/35IUmBmT4szJgAA\nMJ7CMFStVtvTS1Sr1RSG4bBDAzDC4qwyZ5Lul/SYu//KEW2+s9tOZvaCbjxfjismAAAwnhqNhkql\nkpaXl9VqteTuarVaWl5eVqlUUqPRGHaIAEbUVIzbfrGkWUmfNLNHu7f9rKTrJMndf0NSRdLdZnZZ\n0iVJr/e0rRQLAACGKgxDVSoVtdvtA/d1Oh11Oh1VKhU1m02KKwA4ILaEyN3/oyQ7oc2SpKW4YgAA\nAONvYWFBnU7n2DadTkeLi4taWuKwA8BeiVSZAwAAiMvq6mqkhGhlZSWhiACkCQkRAABItc3NzYG2\nA5AtJEQAACDV8vn8QNsByBYSIgAAkGozMzMKguDYNkEQaHZ2NqGIAKQJCREAAEi1+fn5SAnR3Nxc\nQhEBSBMSIgAAkGrFYlH1el25XO5AYhQEgXK5nOr1OiW3ARyKhAgAAKReuVxWs9lUtVpVoVDQxMSE\nCoWCqtWqms2myuXysEMEMKIsbeugTk9P+9ra2rDDAAAAADCizOwRd5+O0pYeIgAAAACZRUIEAAAA\nILNIiAAAAABkFgkRAAAAgMwiIQIAAACQWSREAAAAADKLhAgAAABAZk1FaWRm3yHpxZL+W0mXJH1K\n0pq7fyvG2AAAAAAgVscmRGb2/ZLeKunbJf21pMclXSnpByUVzawuacHdvx53oAAAAAAwaCcNmXul\npH/t7v/c3avu/nPu/lPufpuk52k7SfqB2KMEAACISRiGqtVqKhQKmpiYUKFQUK1WUxiGww4NQALM\n3YcdQ0+mp6d9bW1t2GEAAIAx0Gg0VKlU1Ol01Ol0nrw9CAIFQaB6va5yuTzECAH0w8wecffpKG0j\nFVUwsxUze8qu6+fN7MIJj3mmmX3EzP7GzD5tZm85pI2Z2TvNbN3Mmmb2fVHiAQAAOK0wDFWpVNRu\nt/ckQ5LU6XTUbrdVqVToKQLGXNQqc/9R0sNm9koz+9eS/lTSr57wmMuS5t39BkkvlHSPmd2wr01Z\n0rO7l6qkd0eOHAAA4BQWFhYOJEL7dTodLS4uJhQRgGGIPGTOzP6FpI9I+gdJN7v73/f0RGZ/JGnJ\n3T+067bflPRn7v473et/K+ml7v6lo7bDkDkAADAIhUJBrVYrUruNjY0EIgIwKHEMmZuV9ICkN0j6\nLUkPmdnzegjovKSbJT28765rJX1+1/UvdG/b//iqma2Z2drFixejPi0AAMCRNjc3B9oOQDpFHTL3\nw5L+hbv/jru/TdJd2k6MTmRmeUm/L+kn+i3P7e73ufu0u0+fO3eun00AAADskc/nB9oOQDpFSojc\n/Qfd/fFd1/9K0n9/0uPMLNB2MvQ+d//AIU2+KOmZu64/o3sbAABArGZmZhQEwbFtgiDQ7OxsQhEB\nGIZjEyIz+zkz+/bD7nP3J8zsZWZ26xGPNUn3S3rM3X/liKd4UNIbutXmXihp47j5QwAAAIMyPz8f\nKSGam5tLKCIAwzB1wv2flPTHZvaPkj4u6aKkK7VdFe4mSf+3pP/jiMe+WNKspE+a2aPd235W0nWS\n5O6/IekhbS/+ui6pLelH+/6fAAAA9KBYLKper5+4DlGxWBxilADidmyVOTNbcfdZM/tpSY9Lerqk\nS5Iek/RRd7+UTJj/hCpzAABgkMIw1OLiolZWVrS5ual8Pq/Z2VnNzc2RDAEp1UuVuZMSor+R9D9K\nakj6/v33u/tX+g2yXyREAAAAAI7TS0J00pC535B0QdJ3S9qdhZgk794OAAAAAKl0bFEFd3+nu/8z\nSQ+4+3fvulzv7iRDAAAAAFItatntu+MOBAAAAACSFnVhVgAAAAAYOyREAAAA+4RhqFqtpkKhoImJ\nCRUKBdVqNYVhOOzQAAwYCREAAMAujUZDpVJJy8vLarVacne1Wi0tLy+rVCqp0WgMO0QAA0RCBAAA\n0BWGoSqVitrt9p6FWiWp0+mo3W6rUqnQUwSMERIiAACAroWFhQOJ0H6dTkeLi4sJRQQgbiREAAAA\nXaurq5ESopWVlYQiAhA3EiIAAICuzc3NgbYDMPpIiAAg5aiGBQxOPp8faDsAo4+ECABSjGpYwGDN\nzMwoCIJj2wRBoNnZ2YQiAhA3c/dhx9CT6elpX1tbG3YYADB0YRiqVCqp3W4f2SaXy6nZbKpYLCYY\nGZBefK6A8WBmj7j7dJS29BABQEpRDQsYvGKxqHq9rlwud6CnKAgC5XI51et1kiFgjJAQAUBKUQ0L\niEe5XFaz2VS1Wt0zN69ararZbKpcLu9pzzw+IN0YMgcAKTUxMaEo3+ETExPa2tpKICIgexqNhiqV\nijqdzp4TFEEQKAgC1ev1AwkUgPgxZA4AMoBqWMBwhWGoSqWidrt9oLe20+mo3W6rUqnQUwSMuNgS\nIjN7wMweN7NPHXH/S81sw8we7V5+Ia5YAGAcUQ0LGC7m8QHjIbYhc2b2Ekmbkn7b3W885P6XSvop\nd7+1l+0yZA4AtlENCxiuQqGgVqsVqd3GxkYCEQHYMRJD5tz9o5K+Etf2ASDrqIYFDNfm5uZA2wEY\njmHPIXqRmX3CzBpm9twhxwIAqdNrNSwAg8M8PmA8DDMh+rik73L350l6l6Q/PKqhmVXNbM3M1i5e\nvJhYgACQBsViUUtLS9rY2NDW1pY2Nja0tLREzxAQM+bxAeNhaAmRu3/d3Te7fz8kKTCzpx3R9j53\nn3b36XPnziUaJwAAwGHm5+cjJURzc3MJRQSgH0NLiMzsO83Mun+/oBvLl4cVDwAAQC92z+Obmpo6\ncP/k5KTe9a530VsLjLg4y27/jqS/kPQcM/uCmd1hZneZ2V3dJhVJnzKzT0h6p6TXe9pWiQWAmIQh\nK98DaVAul/Wud73r0PvMTG9+85vVaDQSjgpAL2Irux0Xym4DGHeNBivfA2lB+XtgNI1E2W0AQO/C\nkJXvgTRhcVYg/UiIAGCEcHAFpMvq6mqkz+zKykpCEQHoFUPmAGCEFAqsfA+kycTEhKIcS01MTGhr\nayuBiABIDJkDgNSKuqJ91HYA4tXL4qwUSwFGEwkRAIyQXg6uAAxf1MVZX/KSl6hUKml5eVmtVkvu\nrlarpeXlZZVKJSrRAUNEQgQAIyTqwRUr3wOjIcrirJOTk7pw4QLFUoARRUIEACMkysFVELDyPTAq\ndi/Ouv+zGwSBcrmcbrnlFl2+fPnY7VAsBRgeEiIAGCFRDq7q9TrrmQAjpFwuq9lsqlqt7pkfVK1W\n1Ww29dGPfpRKdMAIo8ocAIygMAy1uLiolZUVbW5uKp/Pa3Z2VnNzcyRDQMpQiQ5IXi9V5kiIAAAA\nYkQ5fSB5lN0GAAAYERRLAUYbCREAAECMKJYCjDYSIgAAgBhRLAUYbSREAAAAMTupEl25XB52iEBm\nUVQBAAAAwFihqAIAAAAAREBCBAAAACCzSIgAAAAAZBYJEQAAAIDMii0hMrMHzOxxM/vUEfebmb3T\nzNbNrGlm3xdXLAAAAABwmDh7iH5L0iuOub8s6dndS1XSu2OMBQAAAAAOiC0hcvePSvrKMU1eI+m3\nfdtfSnqqmT09rngAAAAAYL9hziG6VtLnd13/Qvc2AAAAAEhEKooqmFnVzNbMbO3ixYvDDgcAAADA\nmBhmQvRFSc/cdf0Z3dsOcPf73H3a3afPnTuXSHAAAAAAxt8wE6IHJb2hW23uhZI23P1LQ4wHAAAA\nQMbEWXb7dyT9haTnmNkXzOwOM7vLzO7qNnlI0mclrUt6j6RaXLEkIQxD1Wo1FQoFTUxMqFAoqFar\nKQzDYYcGAAAA4Ajm7sOOoSfT09O+trY27DD2aDQaqlQq6nQ66nQ6T94eBIGCIFC9Xle5XB5ihAAA\nAEB2mNkj7j4dpW0qiiqMsjAMValU1G639yRDktTpdNRut1WpVOgpAgAAAEYQCdEpLSwsHEiE9ut0\nOlpcXEwoIgAAAABRkRCd0urqaqSEaGVlJaGIAAAAAERFQnRKm5ubA20HAAAAIDkkRKeUz+cH2g4A\nAABAckiITunVr351pHa33XZbzJEAAAAA6BUJ0SmZWaR2Dz/88MAqzbHmEQAAADAYrEN0SrlcTpcu\nXYrc9rRrErHmEQAAAHA81iFKSBiGkZMhSadek4g1jwAAAMYXo4CGg4ToFBYWFnp+zElrEh33QWDN\nIyB5/DgBAJLQaDRUKpW0vLysVqsld1er1dLy8rJKpZIajcaxj+f36hTcPVWX5z//+T4qrr76apfU\n86VQKBy6vYceeshzuZwHQbCnfRAEnsvl/OzZs6faPoDeHPWZ3LmcPXvW7777bl9fXx92qADwpPX1\ndb/77rv96quvdjPzq6++mu+qY4zC67W+vu65XO7Y47tcLndkTCcdQz700EOJ/V9GhaQ1j5hfDD3B\n6fUyCgnRzgenn2RIkk9MTOzZTr+J1UnbB9C/KD9OknxqaiqzPzYARg8Hxr0Zldfr7rvvPvLk2+6Y\n7rnnngOPPW0yNa56SYgYMtej3d2Z/crn8we6RQeJNY+A04syRFWSLl++zPw9ACPhtHONszbkapTm\nZq+urkaaFrGysnLgdqZUnB4JUQ+O++BEFQSBbrvttlNv57jtz87ODnSbQBZF+XHajR8bAMPWy4Hx\n/uQnl8vpe77ne/Se97ynr/kraTRKicTm5mbf7U6TTGEbCVEPop4xPk4QBHL3gSdCO6ampjQ3NxfL\ntoFxctKZ0Kg/Tjv4sQEwTGEYanl5OdKB8QMPPHBg8v6lS5d0+fJlXb58+UD7ce0FH6VEIuronsPa\nnSaZwjYSoh70esZ4tyAInlyH6MEHH4wtIbrllltULBYlZa/rG4jqqEo+7373u/WsZz1LuVxOU1NT\nPW+XHxsAw7DznRb12OLSpUs9j1IZx17wOBKJfo+9ZmZmNDk5eWybycnJQ0cBnSaZwjYSoh708oG4\n8cYblc/nn/wwVKtVNZtNlcvlWA+aPvrRj0o6felGYFxFGfq6c6a0V/zYAEja7u+0OI1jL/igE4nT\nHHtVKhVtbW0du/2trS390A/90IHbZ2ZmFATBsY9lSsXxSIh6EPUDUSgU9MlPflKtVktbW1va2NjQ\n0tLSkz03cR40bW5ujtQkwd3oscIoiDr0dbtATXT82AAYhkEM549q3HrBoyQSkvT1r3/9xGOW0x57\n1ev1SD1EH/jABw7cPj8/HykhYkrF0UiIejCoDDzqB3D3NqPK5/MjNUlwBz1WGBWnGfp6HH5sAAxD\nXN9phxlWL3hcJ1SjJBI7TjpmOe2x1+rqaqQeosN66YrFour1unK53IH/z+4pGzsn5nGIqPW5+7lI\neoWkv5W0Lumth9z/JkkXJT3avfzYSdsc5jpEg6rzHnV9EzPzQqHg99xzj//Ij/xI5Pr0Udc1SmoB\nV+rjY5SYWc9rewVBcOTCyKztAWCYevlO62WR96OOMZIW9zpBJy3AHfWY5bTHXlH343FrTa6vr/s9\n99zjhULlFpM6AAAgAElEQVTBJyYmnjyGzOrxlUZhYVZJk5JCSd8t6YykT0i6YV+bN0la6mW7w16Y\ndVAfzF6300tSMYgP1aCsr6/7c5/73JH9okX29LMQspm5Oz82AEZP1O+0IAieXBC+l4P/45KAuCV1\nQnX3d3u/yeFpj71G7WT2OBiVhOhFkj646/rbJL1tX5vUJUTugzso6nU7UZOoUflQ7cQb9cuWDzmS\n0M/BwJkzZ4YdNgAcKsp32u4D+PX1db/iiisif/8Nsxe81//bIPR7DHXaY69h/F/H3agkRBVJy7uu\nz+5PfroJ0ZckNSXVJT3ziG1VJa1JWrvuuuviet1SIUoSFfeHaucM09VXX+1m5ldffbXffffde2KI\nOixw9yWJHqtRFOX1zJK4X49+3ptBEAzkuQFg0HrtRYmaEO0etj+s36NhnODtt6fntMdeozi9IO3H\nJ2lKiK6RdEX37zslffik7Y5CD9Goi/NDFbWXqp+z8FnsIYp7bHTaJPV69Np7uTNkDgBGUS/fnWnq\niRjGFIBehlXvThAGcex1//33+9TU1IHHTU1NJX5MMA7HJ6OSEJ04ZG5f+0lJGydtl4QomjjeyL18\n2HudpzEqX75JGsWzQcOU9Ouxvr4eOWnPYrIOIF2iDsOP+vucz+eH3jswjB6iXk/o7j6uOs2x185j\nD0uIJicn/f777x/Y/9H9YO/PVVdd5c997nP9qquuivT/3t/rOOz3ymFGJSGakvRZSdfrn4oqPHdf\nm6fv+vtfSvrLk7ZLQhTdoCeA93JWqddKXlk68N8R5fU0Mw+CYKS+YOIyjLOWaTpTCgCD0Mvv87B7\nB+6++26fnJw8NsbJycmBfkf3M6x693FMP8depzkhuJOM7E9krrrqqiOPGfqprHfUb+Mo9ySNREK0\nHYdeKek/a7va3P/Wve1eSbd1//5lSZ/uJksfkfQ9J22ThGh4ejlT00sP0bA/MEnb+fLq9wvoqNfr\nuDM0o3r2ZrdhnAmklw5A1vRTaXNY34sXLlyIFM+rX/3qgcbTT8JwmpNn/Z6c24nzqKRxcnLywDFD\nvwnfYZd8Pj/Sv6EalYQojgsJ0fD0MpY3apfzjTfemKmDzUGclTnsC+a4MzRXXHGFX3HFFSN59ma3\nYZWLH+WzWwAwaP2W3R7UwX+vsZ7UQyRtj6YY9Pd1r6W4pf5P2PVzQrCXxGb3McMg9v/+98IovFcO\nQ0KEWPTygc3amfe4Ku8ddZmamtpTQvU02x2V/TDMcvGsLwQgKwb1W3TYd/GgRyP02psV1+9Z3Cfs\n+tl+L4nN7qRkED2Eg3ivJEEkRIhDr126WTnzHmflveMuZ8+eHch2R2WODPN5ACAZx/1uRf3t2H/w\nH8dvfq/zkeP6jYj7hF0/2+81sdl5bK+v6XGvdb/vlaSIhAhx6KfXZ9zPvEd5TSYnJ/3ChQuxnJXp\np6LfIL/Ek34tR6U3CwDS7qjf56hVxnodvtXL9/dp5trG8XsW9wm7frbfa2Kzk5QM6ljkyiuvPLQi\n3igdY4iECHHJSq9PVHfffXekL4SpqamBnZXZfemnot9xX5TDdtz768orr/RXvepVI10YAgDSrp+D\n80EmDKedaxvH71ncJ+z62X6/PUSDGFWyMzc5yvEHc4hIiMZW0r0+o1wh7ezZswNPcnr9ghuXHqId\nh72/br31Vj979iyJOADELM6D85N+awYxvymu37O4Twj3uv1+5xD1+xqbmRcKBZ+Zmenp2IcqcyRE\nGIBevyCSTJ7W19d7/jIZdELUS0W/4+Ia5bWOGEoHAMnq9bd3UEUHRn1ObNwnhHvZfr9V5tyj98Id\ntr+j7qM4Kv/1ioQII29QVdl2f8iTHs7X7/jmQV6iVvTr9Qdl2F9iu1FsAQCS18vB+aB6iE474iFr\nJ8f6WYdox/79m8/n/cYbb/R8Pn/s/o66j4IgGPq+ICHCSBtkVbadA+ELFy6cOJdn0F+UcZauDILg\nxP9PlIp+4/DDMsxy3ACAk532xNVpiigcdvyQJTuJTT6f3/Oa5PP5WKYzDGvNwH70khDZdvv0mJ6e\n9rW1tWGHgT6FYahSqaR2u31km1wup2azqZtvvlmtVuvEbZ49e1ZPPPGEtra2jm0XBIGq1aqWlpZ6\njvswExMT6vXzMzU1JUm6fPnykW2CINDrXvc6feADH4j0OhWLRUnbr+3i4qJWVlbUarV6ju2wOAb5\nevUr6us8MTFx4nsAADB4vfy27/xm7Wg0GqpUKup0Oup0OpGeLwgCnT17Vpubm8rn85qdndXc3NyB\nbWPwCoVCpGOzQqGgjY2NBCI6mpk94u7TUdpOxB0MsNvCwsKJX3idTkeLi4va3NyMtM1Lly5FOhDu\ndDpaWVmJtM0o8vl8z4+5/vrrdebMmWPbBEGgt7/97arX68rlcgqC4MD9uVxO9Xp9z5d/sVjU0tKS\nNjY29K1vfUsPPfTQkY+PYtCvV7+ivs797A8AwOkVi8Wef7Ok7USqUqmo3W73lAxVq1VtbGxoa2tL\nGxsbWlpaIhlKyMzMzInHEUEQaHZ2NqGIBoOECIlaXV2NlBCtrKzEcoAbNck6SRiGuu6663p+3Oc/\n//nIPxrlclnNZlPValWFQkETExMqFAqqVqtqNpsql8vHPtdxjzezSPEO6vU6jXH98gWAcdLPb1aU\nk6T7BUGgubm5QYWNHs3Pz0f6TU7bPmLIHBLVy/CnO++8U8vLyz1/WR5nEF24O937TzzxxLFD346y\nvr4uSU8ObxtGl3+aurxPMxQDADC6ov4WSdsH2UEQqF6vn3hCEPE6apjjqO0jhsxhZPUy/CnKWYhe\nDKIXYXf3fj/JkLSdCO0e3jaMLv809br0OxQDADDaehmFEHV0BOJ32hEso4geIiSqVqud2OuzezL/\nSWch3F2XLl2K9NyD6EWIEv9J6HXpz+6iEUykBYD0S9NoBaQPPUQYWb2OPT3pLMSb3vSmSL1IU1NT\nkXoRwjBUrVbb81y1Wk1hGEqKNgfqJKMwLyeNvS7D7lUDAAxWmkYrYLzRQ4TEDXLsaZSejsnJSf3p\nn/6pXvayl506rle96lWnLmc9Sme66HUBAAxLGkcrID166SEiIcJQDPJAfBAJVtQvZTPTN77xjZ7i\n221U1vYBAGAUpGWCPtKHIXMYeYMc/rR/WJ2ZPdkFf+nSJb3uda/bM+ztMFHXR7r++utPVeghjaUo\nAQCIyzhO0Ef60EOEsdLvmaaoEzvz+by+9a1vHduTJG3PWdpdhY4zXQAAAMkZmR4iM3uFmf2tma2b\n2VsPuf8KM3t/9/6Hzex8nPFgvB234nWn01G73ValUjm0pyhqoYN2u31iMYL7779fd955J2e6AAAA\nUiC2hMjMJiX9uqSypBsk/Sszu2FfszskfdXdnyVpUdI74ooH4y/qsLfFxcUDt/eyPtJJ3fu33347\n1dAAAABSIrYhc2b2Iklvd/eXd6+/TZLc/Zd3tflgt81fmNmUpL+XdM6PCYohczjKadYz6HV9JAAA\nAIyuURkyd62kz++6/oXubYe2cffLkjYkXbN/Q2ZWNbM1M1u7ePFiTOEi7aIOezusXa/rIwEAAGA8\npKLKnLvf5+7T7j597ty5YYeDEdXLsLf90rhQKQAAAE4vzoToi5Keuev6M7q3HdqmO2TuKZK+HGNM\nGGOnXfGa0p8AAADZE+ccoilJ/1nSLdpOfD4m6X9290/vanOPpO9197vM7PWSfsjdX3vcdplDhKOw\n4jUAAACkEZlD1J0T9OOSPijpMUm/5+6fNrN7zey2brP7JV1jZuuSflLSgdLcQFQMewMAAECvWJgV\nYycMQy0uLmplZUWbm5vK5/OanZ3V3NwcyRAAAEAG9NJDREIEAAAAYKyMxJA5AAAAABh1JEQAAAAA\nMouECAAAAEBmkRABAAAAyKzUFVUws4uSPpfAUz1N0j8k8DwYLvZzNrCfs4H9PP7Yx9nAfs6GuPfz\nd7n7uSgNU5cQJcXM1qJWpkB6sZ+zgf2cDezn8cc+zgb2czaM0n5myBwAAACAzCIhAgAAAJBZJERH\nu2/YASAR7OdsYD9nA/t5/LGPs4H9nA0js5+ZQwQAAAAgs+ghAgAAAJBZJEQAAAAAMivzCZGZvcLM\n/tbM1s3srYfcf4WZvb97/8Nmdj75KHFaEfbzm8zsopk92r382DDiRP/M7AEze9zMPnXE/WZm7+y+\nB5pm9n1Jx4jTi7CfX2pmG7s+y7+QdIw4HTN7ppl9xMz+xsw+bWZvOaQNn+eUi7if+TynnJldaWZ/\nZWaf6O7nXzqkzdCPtTOdEJnZpKRfl1SWdIOkf2VmN+xrdoekr7r7syQtSnpHslHitCLuZ0l6v7vf\n1L0sJxokBuG3JL3imPvLkp7dvVQlvTuBmDB4v6Xj97Mk/fmuz/K9CcSEwbosad7db5D0Qkn3HPKd\nzec5/aLsZ4nPc9p9U9LL3P15km6S9Aoze+G+NkM/1s50QiTpBZLW3f2z7v6EpN+V9Jp9bV4j6b3d\nv+uSbjEzSzBGnF6U/YyUc/ePSvrKMU1eI+m3fdtfSnqqmT09megwKBH2M1LO3b/k7h/v/t2S9Jik\na/c14/OcchH3M1Ku+xnd7F4Nupf9Fd2Gfqyd9YToWkmf33X9Czr4YXyyjbtflrQh6ZpEosOgRNnP\nkvTD3aEXdTN7ZjKhIUFR3wdIvxd1h2c0zOy5ww4G/esOnblZ0sP77uLzPEaO2c8Sn+fUM7NJM3tU\n0uOSPuTuR36eh3WsnfWECNjxx5LOu3tJ0of0T2cqAKTLxyV9V3d4xrsk/eGQ40GfzCwv6fcl/YS7\nf33Y8SAeJ+xnPs9jwN233P0mSc+Q9AIzu3HYMe2X9YToi5J29wQ8o3vboW3MbErSUyR9OZHoMCgn\n7md3/7K7f7N7dVnS8xOKDcmJ8nlHyrn713eGZ7j7Q5ICM3vakMNCj8ws0PZB8vvc/QOHNOHzPAZO\n2s98nseLu39N0kd0cB7o0I+1s54QfUzSs83sejM7I+n1kh7c1+ZBSW/s/l2R9GFnNdu0OXE/7xt7\nfpu2xzJjvDwo6Q3d6lQvlLTh7l8adlAYLDP7zp2x52b2Am3/znESK0W6++9+SY+5+68c0YzPc8pF\n2c98ntPPzM6Z2VO7f5+V9AOSPrOv2dCPtaeSfLJR4+6XzezHJX1Q0qSkB9z902Z2r6Q1d39Q2x/W\nFTNb1/ZE3tcPL2L0I+J+/l/M7DZtV735iqQ3DS1g9MXMfkfSSyU9zcy+IOkXtT15U+7+G5IekvRK\nSeuS2pJ+dDiR4jQi7OeKpLvN7LKkS5Jez0ms1HmxpFlJn+zOO5Ckn5V0ncTneYxE2c98ntPv6ZLe\n2634OyHp99z9T0btWNt4XwEAAADIqqwPmQMAAACQYSREAAAAADKLhAgAAABAZpEQAQAAAMgsEiIA\nAAAAmUVCBAAAACCzSIgAAAAAZBYJEQAglczsn5tZ08yuNLOrzOzTZnbjsOMCAKQLC7MCAFLLzP53\nSVdKOivpC+7+y0MOCQCQMiREAIDUMrMzkj4m6R8l/Q/uvjXkkAAAKcOQOQBAml0jKS/pam33FAEA\n0BN6iAAAqWVmD0r6XUnXS3q6u//4kEMCAKTM1LADAACgH2b2Bkkdd/93ZjYp6T+Z2cvc/cPDjg0A\nkB70EAEAAADILOYQAQAAAMgsEiIAAAAAmUVCBAAAACCzSIgAAAAAZBYJEQAAAIDMIiECAAAAkFkk\nRAAAAAAyi4QIAAAAQGaREAEAAADILBIiAAAAAJlFQgQAAAAgs0iIAAAAAGQWCREAAACAzCIhAgAA\nAJBZJEQAAAAAMouECAAAAEBmkRABAAAAyCwSIgAAAACZRUIEAAAAILOmhh1Ar572tKf5+fPnhx0G\nAAAAgBH1yCOP/IO7n4vSNnUJ0fnz57W2tjbsMAAAAACMKDP7XNS2DJkDAAAAkFkkRAAAAAAyK7GE\nyMyeamZ1M/uMmT1mZi8ys283sw+Z2f/b/ffbkooHAAAAAJLsIfo1Sf/B3b9H0vMkPSbprZIuuPuz\nJV3oXgcAAACARCSSEJnZUyS9RNL9kuTuT7j71yS9RtJ7u83eK+kHk4gHAIDjhGGoWq2mQqGgiYkJ\nFQoF1Wo1ffjDHz709jAMhx0yAKBP5u7xP4nZTZLuk/Q32u4dekTSWyR90d2f2m1jkr66c33f46uS\nqpJ03XXXPf9zn4tcNAIAgJ40Gg1VKhV1Oh11Op0nb5+cnNTW1taT/+4IgkBBEKher6tcLg8jZADA\nPmb2iLtPR2mb1JC5KUnfJ+nd7n6zpG9o3/A4387MDs3O3P0+d5929+lz5yKVEwcAoGdhGKpSqajd\nbu9JhiQ9mQTtToYkqdPpqN1uq1Kp0FMEACmUVEL0BUlfcPeHu9fr2k6Q/quZPV2Suv8+nlA8AAAc\nsLCwcCARiqrT6WhxcXHAEQEA4pZIQuTufy/p82b2nO5Nt2h7+NyDkt7Yve2Nkv4oiXgAADjM6urq\nqRKilZWVAUcEAIjbVILP9WZJ7zOzM5I+K+lHtZ2Q/Z6Z3SHpc5Jem2A8AADssbm5OdTHAwCSl1hC\n5O6PSjpsYtMtScUAAMBx8vm8Wq3WqR4PAEiXJNchAgBgpM3MzCgIgr4eGwSBZmdnBxwRACBuJEQA\nAHTNz8+fKiGam5sbcEQAgLiREAEA0FUsFlWv15XL5Q4kRpOTk3v+3REEgXK5nOr1uorFYmKxAgAG\ng4QIAIBdyuWyms2mqtWqCoWCJiYmVCgUdNddd+nChQu666679txerVbVbDZZlBUAUsq210NNj+np\naV9bWxt2GAAAAABGlJk94u6HFXQ7gB4iAAAAAJlFQgQAAAAgs0iIAAAAAGQWCREAAACAzCIhAgAA\nAJBZJEQAAAAAMouECAAAAEBmkRABAAAAyCwSIgAAAACZRUIEAAAAILNIiAAAAABkFgkRAAAAgMwi\nIQIAAACQWSREAAAAADKLhAgAAABAZpEQAQAAAMgsEiIAAAAAmUVCBAAAACCzSIgAAAAAZBYJEQAA\nAIDMIiECAAAAkFkkRAAAAAAyi4QIAAAAQGaREAEAAADIrKmknsjM/k5SS9KWpMvuPm1m3y7p/ZLO\nS/o7Sa91968mFRMAAACAbEu6h+j73f0md5/uXn+rpAvu/mxJF7rXAQAAACARwx4y9xpJ7+3+/V5J\nPzjEWAAASLUwDFWr1VQoFDQxMaFCoaBaraYwDIcdGgCMLHP3ZJ7I7L9I+qokl/Sb7n6fmX3N3Z/a\nvd8kfXXn+r7HViVVJem66657/uc+97lEYgYAIC0ajYYqlYo6nY46nc6TtwdBoCAIVK/XVS6Xhxgh\nACTHzB7ZNSrt+LYJJkTXuvsXzew7JH1I0pslPbg7ATKzr7r7tx23nenpaV9bW4s5WgAA0iMMQ5VK\nJbXb7SPb5HI5NZtNFYvFBCMDgOHoJSFKbMicu3+x++/jkv5A0gsk/Vcze7okdf99PKl4AAAYFwsL\nC3t6hQ7T6XS0uLiYUEQAkB6JJERmdpWZXb3zt6T/SdKnJD0o6Y3dZm+U9EdJxAMAwDhZXV2NlBCt\nrKwkFBEApEdSZbf/G0l/sD1NSFOS/p27/wcz+5ik3zOzOyR9TtJrE4oHAICxsbm5OdB2AJAliSRE\n7v5ZSc875PYvS7oliRgAABhX+XxerVYrUjsAwF7DLrsNAABOaWZmRkEQHNsmCALNzs4mFBEApAcJ\nEQAAKTc/Px8pIZqbm0soIgBIDxIiAABSrlgsql6vK5fLHUiMgiBQLpdTvV6n5DYAHIKECACAMVAu\nl9VsNlWtVlUoFDQxMaFCoaBqtapms8mirABwhMQWZh0UFmYFAAAAcJyRXJgVAAAAAEYNCREAAACA\nzCIhAgAAAJBZJEQAAAAAMouECAAAAEBmkRABAAAAyCwSIgAAAACZRUIEAAAAILNIiAAAAABkFgkR\nAAAAgMwiIQIAAACQWSREAIDUCcNQtVpNhUJBExMTKhQKqtVqCsNw2KEBAFKGhAgAkCqNRkOlUknL\ny8tqtVpyd7VaLS0vL6tUKqnRaAw7RABAipAQAQBSIwxDVSoVtdttdTqdPfd1Oh21221VKhV6igAA\nkZEQAQBSY2Fh4UAitF+n09Hi4mJCEQEA0o6ECACQGqurq5ESopWVlYQiGj2751eZmc6cOaMzZ84w\n1woAjmDuPuwYejI9Pe1ra2vDDgMAMAQTExOK8rs1MTGhra2tBCIaLY1GQ5VKRZ1O58jEMQgCBUGg\ner2ucrmccIQAkAwze8Tdp6O0pYcIAJAa+Xx+oO3GyXHzq3ZjrhUA7EVCBABIjZmZGQVBcGybIAg0\nOzt74rbGrXR3lPlVuzHXCgC2MWQOAJAaYRiqVCqp3W4f2SaXy6nZbKpYLB7Z5qihZWkeTlYoFNRq\ntXp+zMbGRkwRAcDwMGQOADCWisWi6vW6crncgZ6iIAiUy+VUr9ePTYbGtXT35uZmIo8BgHFDQgQA\nSJVyuaxms6lqtbpnuFu1WlWz2TyxZ2dcS3f3M28qi3OtAGA/hswBADIl6tCytA0nq9VqWl5ejjyP\nKAgCVatVLS0txRwZACSPIXMAABwh6jCxtA0nm5+fP7HgxG5BEGhubi7GiAAgHRJNiMxs0sz+2sz+\npHv9ejN72MzWzez9ZnYmyXgAANkzrqW7j5tftVvUuVYAkBVJ9xC9RdJju66/Q9Kiuz9L0lcl3ZFw\nPACAjBlk6e5Rs39+lZkpCAKdOXNGZtbTXCsAyIrE5hCZ2TMkvVfSv5H0k5JeLemipO9098tm9iJJ\nb3f3lx+3HeYQAQBOY1CluwEAo2tU5xD9qqSflvSt7vVrJH3N3S93r39B0rWHPdDMqma2ZmZrFy9e\njD9SAMDYGkTpbgDA+EgkITKzWyU97u6P9PN4d7/P3afdffrcuXMDjg4AkDWnLd0NABgfiQyZM7Nf\nljQr6bKkKyUVJP2BpJeLIXMAAAAABmjkhsy5+9vc/Rnufl7S6yV92N1/RNJHJFW6zd4o6Y+SiAcA\nAAAApOGvQ/Qzkn7SzNa1Pafo/iHHAwAAACBDppJ+Qnf/M0l/1v37s5JekHQMAAAAACANv4cIAAAA\nAIaGhAgAkFlhGKpWq+2pNFer1RSG4bBDAwAkhIQIAJBJjUZDpVJJy8vLarVacne1Wi0tLy+rVCqp\n0WgMO0QAQAJIiAAAmROGoSqVitrttjqdzp77Op2O2u22KpUKPUUAkAEkRACAzFlYWDiQCO3X6XS0\nuLiYUEQAgGEhIQIAZM7q6mqkhGhlZSWhiAAAw0JCBADInM3NzYG2AwCkFwkRACBz8vn8QNsBANKL\nhAgAMLLiKos9MzOjIAiObRMEgWZnZ0/1PACA0WfuPuwYejI9Pe1ra2vDDgMAELNGo6FKpaJOp7Nn\nvk8QBAqCQPV6XeVyua9th2GoUqmkdrt9ZJtcLqdms6lisdjXcwAAhsfMHnH36Sht6SECAIycuMti\nF4tF1et15XK5Az1FQRAol8upXq+TDAFABpAQAQBGThJlscvlsprNpqrV6p4hedVqVc1ms+/eJwBA\nujBkDgAwcgqFglqtVqR2GxsbCUQ0+sIw1MLCglZXV7W5ual8Pq+ZmRnNz8/T0wUgc3oZMkdCBAAY\nORMTE4ry+zQxMaGtra0EIhptcc63AoA0Yg4RACDVKIsdXdzzrQBg3PWcEJnZd5jZvzSze8zsdjN7\ngZmRWAEABoay2NElMd8KAMZZ5ETGzL7fzD4o6f+SVJb0dEk3SPo5SZ80s18ys0I8YQIAsmR+fj5S\nQjQ3N5dQRKNrdXU1UkK0srIysOeMa30oABiGyHOIzOzfSnqXu/9/h9w3JelWSZPu/vuDDXEv5hAB\nQDYwLyaapOdbsV8ApEEsc4jc/X89LBnq3nfZ3f8w7mQIAJAdlMWOJsn5VsxXAjCO+plDNG1mc2b2\nb83sXjN7rZl9WxzBAQCyrVgsamlpSRsbG9ra2tLGxoaWlpYoI71LkvOtmK8EYBz1MmTuRyW9WdJ/\nkfSIpMclXSnpv5P0YkmfkvTzR/UiDQpD5gAA+CdhGKpUKqndbh/b7qqrrtIb3vCGU61LxPpQANIi\nlnWIzOweSQ+4+6Uj7r9J0jXufiFypH0gIQIAYK+j5vXsd9p5PqwPBSAt4ppD9OvHJENn3P3RuJMh\nAABw0O75VsfNFTrtPB/WhwIwjvqZQ/RnZnZ+1/UXSPrYAGMCAAA92plvNTs7e+Kcon7n+bA+FIBx\nFHnI3JMPMHu5pF+T9E5J12p7TaIfc/ePDz68gxgyBwDA0eKc5xNlvlIul1Oz2aTwBYChimXI3A53\n/6Cku7SdFN0u6ZVJJUMAAOB4m5ubA223W7FYVL1eVy6XO9BTFASBcrmc6vU6yRCAVOlnyNzPS3qX\npJdIerukPzOzVw04LgAA0Ie45/mwPhSAcdNzQiTpGkkvcPe/cPfflPRyST8x2LAAANgWhqFqtdqe\ng+9arcbin0dIYp4P60MBGCc9zyEaNuYQAUB2HFVO+rTlo8cZ83wAIKY5RGb2HjP73iPuu8rMbjez\nHzni/ivN7K/M7BNm9mkz+6Xu7deb2cNmtm5m7zezM1HjAQCMtzAMValU1G63D6ytc9ry0eOMeT4A\n0Jtehsz9uqSfN7PHzOzfm9n/aWYPmNmfS/pPkq6WVD/isd+U9DJ3f56kmyS9wsxeKOkdkhbd/f9v\n7/5j5LjP+45/nuONSC6PF9kxm6i2aTlrQ4F02FrWWZHdAHUkG9EFkB2g18IWj1FqNweQDKoQLCA5\nRZzK6G+UIZxskcJYGVZIJ467SWs65TZRLyrsNIlrinXOUWTVd4HVKlAjNbbXR5ylrq5P/7g9+Xi8\n3ZuZnZ877xewIO9udufZ+c58Z56Z74+3SPqWpA/H/iYAgLFy9uzZoZOMSvGHjx539PMBgPDiDLs9\nJWlW0k2SvivpaXd/JsL7a5L+QNIJSf9R0g+6+ytm9k5J/9jdf3zY+2kyBwDVkObw0QCA8Ralydxk\nhAVQy3wAABzDSURBVA9dcvd7JP2Cuz8UI6h9kp6U9BZtPm1alfRtd3+lv8hz2pzXaLf3LkpalKSj\nR49GXTUAoITSHD4aAIAtUZrM3WRm75L0PjO73czevv2115vdfcPd3ybpDZLulPTDYVfs7p9w91l3\nnz1y5EiEkAEAZZX28NEAAEgRnhBJ+qikX9BmQnNWkm37m0u6O8yHuPu3zewJSe+UdKOZTfafEr1B\n0l9EiAcAMMYWFhbUarWG9iMadfhoAABCPyFy97a7z0n6V+5+t7v/2LbX0GTIzI6Y2Y39/x+U9F5J\nT0t6QtJ8f7EHJH0u1rcAABRKEnMHnTlzJtR8OqdPnx41XGzDvE8Aqib0oApmdrO7f2PI303S6939\nuV3+1pD0mKR92kzCPuvuHzOzH5L0GUmvlfTfJS24+8vD4mBQBQAotiTnDmIeomyxvQGMiyiDKkRJ\niP6dNpOZz2lzcIQXJR3Q5iAJPybpHkm/6O6Pxwk6LBIiACiuNCYFXV1d1blz53T+/HldvXpVU1NT\nOn78uE6fPs1cOgliQlcA4ySViVnd/e9osw/RLdocJe6Lki5K+hlJz2hznqFUkyEAQLGlMXdQvV5X\ns9lUt9vVxsaGut2ums0mF+UJY94nAFUVeR6ivPGECACKi7mDyouyAzBOUpmHaNuHH5B0UtKPanN0\nuT+Q9Kvu/lLUzwIAjBfmDiovyg5AVUWZh2jLr0m6TdKvSGpKulXS+SSDAgCUE3MHlRdlB6Cq4iRE\nM+7+YXd/ov/6GW0mSACAiltYWAg1VDZzBxUPZQegquIkRFfM7K6tH8zsRyTRqQcAEHnuIOa8KQ7m\nfQJQVXESojsk/aGZfcPMviHpjyS9w8y+ambLiUYHACiVer2uhx56aOgyDz30kOr1ujqdjhqNhlqt\nltbW1uTuWltbU6vVUqPRUKfTyShqSJtl1263VavVrkuMgiBQrVZTu91mdD8AYyfyKHNm9qZhf3f3\nZ0eKaA+MMgcAxRV2LpvPf/7zuu+++5jzpoCY9wnAOEhlYtZtH/4ed//PO373gLs/FumDYiIhAoDi\nOnnypFqt1tD5bIIg0C233KJnnnlmz+UWFxfVbDbTCBUAMMbSToi+IOkpSf9Q0pSklqSX3X0+aqBx\nkBABQHGFncsmyucx5w0AIKooCVGcPkR/S9KqpK9ocw6iX88qGQIAFFvSc9Qw5w0AIG1xEqLXSLpT\nm0nRy5LeZGaWaFQAgFJKeo4a5rwBAKQtTkL0x5L+k7vfK+kdkv66pP+aaFQAgFIKO5fNzMwMc94A\nAAohTkL0Hkk9M/uou39X0r+W9HCyYQEAyijsXDYf//jHmfMGAFAIcRKij0i6S9IH+z+vSTqbWEQA\ngNIKO5fN3XffzZw3AIBCiJMQ/Yi7n5L0kiS5+7ck3ZBoVACA0pqbm9Py8rIWFxc1PT2tiYkJTU9P\na3FxUcvLy5qbm4u0HAAAaYoz7PaXJL1L0pfd/e1mdkTS77n77WkEuBPDbgMAAAAYJu1ht39Z0r+X\n9NfM7J9qc+jtfxbjcwAAAAAgV5NR3+DunzazJyXdI8kk/aS7P514ZAAAAACQssgJkSS5+9ckfS3h\nWAAAAAAgU3GazAEAAADAWCAhAgAAAFBZJEQAAAAAKouECAAAAEBlkRABAAAAqCwSIgAAAACVRUIE\nAAAAoLJIiAAAAABUFgkRAAAAgMrKJCEyszea2RNm9mdm9pSZPdj//WvN7HEz+3r/39dkEQ8AAAAA\nSNk9IXpF0hl3v1XSXZJOmdmtkh6WtOTub5W01P8ZAAAAADKRSULk7s+7+5X+/9ckPS3p9ZLeL+mx\n/mKPSfrJLOIBAKRjdXVVJ0+e1PT0tCYmJjQ9Pa2TJ09qdXU179AAANiVuXu2KzS7WdIXJM1I+p/u\nfmP/9ybpW1s/73jPoqRFSTp69Ogdzz77bGbxAgDC6XQ6mp+fV6/XU6/Xe/X3QRAoCAK1223Nzc3l\nGCEAoCrM7El3nw2zbKaDKpjZlKTfkvRz7v6d7X/zzcxs1+zM3T/h7rPuPnvkyJEMIgUARLG6uqr5\n+Xmtr69fkwxJUq/X0/r6uubn53lSBAAonMwSIjMLtJkMfdrdf7v/6780s5v6f79J0gtZxQMASM7Z\ns2evS4R26vV6OnfuXEYRAQAQTlajzJmkRyU97e6/tO1PFyU90P//A5I+l0U8AIBkXbhwIVRCdP78\n+YwiwjigTxqALGTSh8jMflTSFyV9VdL/6//65yV9SdJnJR2V9Kykv+vu3xz2WbOzs3758uUUowUA\nRDUxMaEw55OJiQltbGxkEBHKjj5pAEYRpQ9R5oMqjIqECACKZ3p6Wmtra6GW63a7GUSEMltdXVWj\n0dD6+vrAZWq1mpaXl1Wv1zOMDEBZFHZQBQDAeFpYWFAQBEOXCYJAx48fzygilBl90gBkiYQIADCy\nM2fOhEqITp8+nVFEKLM4fdLobwQgLhIiAMDI6vW62u22arXadYlREASq1Wpqt9s0b0IoV69ejbRc\np9NRo9FQq9XS2tqa3F1ra2tqtVpqNBrqdDpphgug5EiIAACJmJub0/LyshYXF6+5S7+4uKjl5WU6\nwCO0qamp0MsxBxaAUZEQAQASU6/X1Ww21e12tbGxoW63q2azyZMhRBKlTxr9jQCMilHmAABAoUQZ\nZe72229nhEMA12GUOQAAUFpR+qRF7W8EADuREAEAgMIJ2yctSn8jANgNCREAIBKGN0ZWwvRJYw4s\nAKOiDxEAILROp6P5+Xn1er1rOrIHQaAgCNRutxlNDpmK0t+IwT2A6qAPEQAgcQxvjCJiDiwAoyIh\nAgCEwvDGKCrmwAIwCprMAQBCmZ6eDj288ZUrV3T27FlduHBBV69e1dTUlO677z6ZmS5evPjq7xYW\nFnTmzBnu3gMAEhWlyRwJEQAglImJCYU5Z5iZDh48eF0/o93Q9wgAkAb6EAEAEhd22GJ337Wf0W7o\newQAyBsJEQAglDDDG5uZzCzyZ9P3CACQFxIiAEAoZ86c2TMhcvdQzep26vV6On/+fNzQMAaY3wpA\nXkiIAAChhBneOM7ToS1Xr14dNUSUVKfTUaPRUKvV0tramtxda2trarVaajQa6nQ6eYcIYIyREAEA\nQttreOOw/Yx2M8p7UV7MbwUgbyREAIBI6vW6ms2mut2uNjY21O121Ww2Va/XQ/Uz2k0QBDp+/HgK\n0aLomN8KQN5IiAAAiQnTz2g3QRDo9OnTKUSEortw4UKohCjrPmb0aQKqg4QIAJCYYf2MdrPV96jd\nbjM5a0WF7TuWZR8z+jQB1UJCBABI1KB+RgsLCzp27NiufY+YlLW6wvYdy6qPGX2agOqZzDsAAMD4\n2epn1Gw28w4FBbewsKBWqzW02VyWfcyi9Gli/wbGg8WZLyJPs7Ozfvny5bzDAAAACVhdXVWj0dD6\n+vrAZWq1mpaXlzNpVjk9Pa21tbVQy3W73dTjARCPmT3p7rNhlqXJHAAAyE2Y+a2y7GNWxD5NANJF\nQgQAAHK11/xWWfYxK1qfJgDpIyECAAC5Gza/VZbCzKXFvFnAeCEhAgAA6AszlxbzZgHjJbOEyMw+\naWYvmNmfbvvda83scTP7ev/f12QVDwAAwE5F69MEIH1ZPiH6lKR7d/zuYUlL7v5WSUv9nwEAAHJT\npD5NANKX6bDbZnazpN9x95n+z89Iere7P29mN0n6L+5+y7DPYNhtAAAAAMOUadjtH3D35/v//9+S\nfmC3hcxs0cwum9nlF198MbvoAAAAAIy1vBOiV/nmo6pdH1e5+yfcfdbdZ48cOZJxZAAAAADGVd4J\n0V/2m8qp/+8LOccDAAAAoELyToguSnqg//8HJH0ux1gAAAAAVEyWw27/hqQ/knSLmT1nZh+W9C8k\nvdfMvi7pPf2fAQAAACATk1mtyN0/OOBP92QVAwAAAABsl3eTOQAAAADIDQkRUAGrq6s6efLkNRMM\nnjx5Uqurq3mHBgCJiVvXUUcC1ZbpxKxJYGJWIJpOp6P5+Xn1ej31er1Xfx8EgYIgULvdZtZ1AKUX\nt66jjgTGU5SJWUmIgDG2urqqRqOh9fX1gcvUajUtLy+rXq9nGBkAJCduXUcdCYyvKAkRTeaAMXb2\n7Nlr7njuptfr6dy5cxlFBADJi1vXUUcCkHhCBIy16elpra2thVqu2+1mEBEAJC9uXUcdCYwvnhAB\nkCRdvXo10eUAoIji1nXUkQAkEiJgrE1NTSW6HAAUUdy6jjoSgERCBIy1hYUFBUEwdJkgCHT8+PGM\nIgKA5MWt66gjAUgkRLEwXwHK4syZM6FO9qdPn84oIgBIXty6Lsk6kmsDoLxIiCLqdDpqNBpqtVpa\nW1uTu2ttbU2tVkuNRkOdTifvEIFX1et1tdtt1Wq16076QRCoVqup3W4znCyAUotb1yVVR3JtAJQb\nCVEEq6urmp+f1/r6+nXDdPZ6Pa2vr2t+fp67QSiUubk5LS8va3Fx8Zo7l4uLi1peXmbCQQBjIW5d\nN2odybUBUH4kRBEUZb4CHssjqnq9rmazqW63q42NDXW7XTWbzUI+GWL/3sR2AKKLW9eNUkcW5doA\n5Ue9nx/mIYqgCPMVdDodzc/Pq9frXVMBB0GgIAjUbre544/SYv/exHYAyqMI1wYoP+r95EWZh4iE\nKIKJiQmF2V4TExPa2NhIfP2rq6tqNBpaX18fuEytVtPy8nIh7/wDw7B/b2I7AOWS97UByo96Px1M\nzJqSvOcr4LE8xhn79ya2A1AueV8boPyo9/NHQhRB0vMVRG0reuHChVAHzPnz50OtPy7auCINRdm/\nh8li3y/DdgDwPQsLC5qcnBy6TFnmMirq+b2ocSWFer8A3L1UrzvuuMPzsrKy4rVazSUNfNVqNV9Z\nWdnzsy5duuS1Ws2DILjm/UEQeK1W80uXLl33HjMbuu6t18TERBpfP3bcQBhF2L+HyWrfL/p2AHCt\nRx99dM/jNey1QZ6Ken4valxJot5Ph6TLHjK/oA9RREl0eovbVjTvjpu0cUWa8t6/h8ly3y/ydgBw\nrTB1gyQ9+uij+tCHPpRRVNEV9fxe1LiSRr2fDvoQpSiJOV3ithVNusleVLRxRZry3r+HyXLfL/J2\nAHCtMHXD5OSkrly5klFE8RT1/F7UuJJGvV8AYR8lFeWVZ5O5YVZWVvzEiRN++PBhNzM/fPiwnzhx\nYtdH5IcPHw71aFTSNZ+TZJO9OMLGPT09PfI2ivq+rWUOHTp0TSyHDh0KtY4srays+P3333/N4/8g\nCPzYsWOZxxm3TNKKJa/9e9h2WFlZua6pRtR9P2osUbdDkcoRqJKo58WsjtWo6xn1/J50vIcOHfLb\nbrst9LXSqHHttr3uv/9+P3bsWCrXLLu9Z696/8CBA4mue9A2P3To0NicRxShyVzuCU7UVxEToqjt\nW8O2Fd3tc/JsSztKG9e4cYd539Yy+/bt2zWeffv2Faad8aVLl3z//v0Dt93+/fszi7OI7bLziGnY\nOvfv3z+0vMLs+0nHtHM7FLEcgaqIcl7M6lgtWx/lQfFGeY0SV5T1J3HNMiyOUa4PkjhvRP2+RScS\nouzEuZsb5QnRbp+zsrLip06d8unpaZ+YmPDp6Wk/depU6ll83DtIce/8h71jcvDgwUjbLy8rKyt+\n4MCBPeM8ePBg6nHm/bRxr9iy2r/DbIcoryTvnobZDkUuR6AKwp4Xp6amMjlW49YJeT0hSqoOjhtX\n3PXHvWYZVsYrKyt7Xs8Men+Udcf5zmU9j4iEKDsnTpwIlWGfOnUq0nvCfE4Zvmva7zOz0He2irD9\nwsRqZqnHGbdMxk3cY7Eo24tyBPIV9hicmZnJ5FjN+jw9qiTq4FHiSvJ6bNRtOMr7o7w3zncu63lE\nJETZCXtXJQiCV7PrUe6ITE1NxW4fOmp70KzvPMV9khZlHWkYtN139m/aK84k+hqNGksW2yusNPbn\npJKhQft+2vJu9w9UXdjzYhZ1btT+jktLS5H66UhKvK9rUuf5uHGNuv7t56FR6+NR3h/lvaN850Hn\n3aL2YxUJUXai9Afa3g5zlDazefYryLJtctS+VmFeZhbreyexfaLGOWpfoyRiKcqcB0nvz1ufl9R+\nlVcba+auAPIXpn5K+1hNuk4b9Mpr3rW04kpi/VvrHrWMR3l/lPeO+p13busi92MVCVF2otz1l669\ni7y9j0ASFUKU9qGj3M2O2sejSE+IJKV2xyLp/ih7vYb1Ncq7XXaSkt6fky6n7U9/s8YTIqAY9jov\npnmsZn3uiVrnDpP0eT5qXGldZ8Qp47DXk1NTU7G/x6hPiHZu66WlpUL3Y1WEhIh5iEZ08803R1p+\n+3j59XpdzWZT3W5XJ06c2HMM+rCfnfa4/dvj3tjYULfbVbPZHDgpWtzx9cO8z8xkZqFjN7PU5isI\ns92T9NJLLw38LknEUpQ5D5Len5MspyAItLi4mNuEgMxdARTDXufFNI/VrM89UrbzrkURNa4k1x/m\nemRYGYe9ntxtuSj7V1Lfudfr6cEHHxyfeaLCZk5FeZX9CZEG3B1I8o5+ke4ab/WDCRPPzjbASY8y\nF+Z7h20Hu305ST45OZn4XaSo32VnTKO+ijKqTNL7c5J3BPPeRowyB5RDmsdqHk85BtW5UfuSpPF0\nK8q1TdZP14aVcdwnRGGvs0YZZS7LMkmSytZkTtK9kp6RtCLp4WHLFi0hitMWc1D70aT6fBSlX0HU\nflJx+0JFbTsdZ/sn1f8r6dfWd0m7T1qekt6f48wDVuRtVOT22wC+J61jNWpf5qTPP6N+v6TPqVGv\nbZJcv5nFLuM457q95mHceu3sd5z1dUxe/VhVpoRI0j5Jq5J+SNINkv5E0q2Dli9SQrSyshJrx9jr\nCcVu7ZCjjFBThCdEo9yB2HkHJex8LFFG14kTb9j2snu9pqamfGFhIZGnSluj0Y0yamEec1pFkfcT\nogMHDvixY8cKvY3ympsMQDRpHKtRR7sd9byzW52bxBw827fL1NSUz8zMxDq3xe2HtbNcFhYWXq37\no56T45Rx1HNdlHP/gQMHdm3psts2n5qaSmwfGaVMkqCSJUTvlPS7237+iKSPDFq+SAlR2HlldlZI\nccZyT3qM+bTHlB9lboEstlHc94aZS2Kv19b6R51/YWu+orLOaxVW0vtz1O1Vlu0EoJqi1pFRh9oO\nUy+mdd1RlPo6i+uqqOuIsm2ixlb2Ofq2qGQJ0byk1rafj0tqDlq+SAlRnHa7cdsIJz0Lcdr9CkZt\n05zWSDuDvneWbbCjjjo06LU1ylzczylL35IijDLHKG0AiipqHbm0tDTyeWxnnZtWy5So57e0zmtZ\nXFdFXUfUbZNX36qyjDJXioRI0qKky5IuHz16NIVNFk+Up0NJtOeP0j43734Fo45zP+pcDFG/dxpz\nHg16JbHO7e2B4zylLFvfkrznIWIeHwBFFrWOfOSRR4bWeQsLC5E+L62+y3HnekxDFtdVUdYR9dyf\nR9+qvK81VLKEqLRN5qJk50m154/SNjXPfgV5PCHaEud7Z/mEaJR13nDDDdeNxhflc8rctyTp/XnU\nfmcAUCRR68ilpSWfmZm5pq6bmZnxpaWlyJ+X9xOirOaDy+K6Kuw60nxCNCyWKM308r7WUMkSoklJ\nfy7pzfreoAq3DVq+SAlREfrqFFUefYjSjjeJPkQzMzOR17nXtmA/jI9tBwCjy7MPUVXr6DT7EI26\n3qKUSakSos149ROS/oc2R5v7R8OWLVJCVIS+OkWV5ChzRYk3iVHmtu68RVnnXtuC/TA+th0AjC6t\nupQ6erAo11lJbqMylUnpEqIoryIlRO7599UpskHbZmu8/J3j5ue9zdKeh+iRRx6Jvc6kYsf12HYA\nMLq06lLq6MH2modo3759qWyjspQJCVHGmANksEHbZmlpqZDbLGxZbl/OzHxyctInJiZ2rZC2t8ke\nZZ1JxY7rse0AYHRp1aXU0YNtbZud8wdtzTOY1jYqQ5lESYhsc/nymJ2d9cuXL+cdBgAAAICCMrMn\n3X02zLITaQcDAAAAAEVFQgQAAACgskiIAAAAAFQWCREAAACAyirdoApm9qKkZzNY1esk/Z8M1oN8\nUc7VQDlXA+U8/ijjaqCcqyHtcn6Tux8Js2DpEqKsmNnlsCNToLwo52qgnKuBch5/lHE1UM7VUKRy\npskcAAAAgMoiIQIAAABQWSREg30i7wCQCcq5GijnaqCcxx9lXA2UczUUppzpQwQAAACgsnhCBAAA\nAKCyKp8Qmdm9ZvaMma2Y2cO7/H2/mf1m/+9fMrObs48SowpRzj9tZi+a2Vf6r7+fR5yIz8w+aWYv\nmNmfDvi7mdkv9/eBZTN7e9YxYnQhyvndZtbddix/NOsYMRoze6OZPWFmf2ZmT5nZg7ssw/FcciHL\nmeO55MzsgJn9NzP7k345P7LLMrlfa1c6ITKzfZL+jaQ5SbdK+qCZ3bpjsQ9L+pa7v0XSOUn/Mtso\nMaqQ5SxJv+nub+u/WpkGiSR8StK9Q/4+J+mt/deipF/NICYk71MaXs6S9MVtx/LHMogJyXpF0hl3\nv1XSXZJO7VJnczyXX5hyljiey+5lSXe7+9+Q9DZJ95rZXTuWyf1au9IJkaQ7Ja24+5+7+/+V9BlJ\n79+xzPslPdb/f1vSPWZmGcaI0YUpZ5Scu39B0jeHLPJ+Sb/mm/5Y0o1mdlM20SEpIcoZJefuz7v7\nlf7/1yQ9Len1OxbjeC65kOWMkusfo1f7Pwb9184BDHK/1q56QvR6Sf9r28/P6fqD8dVl3P0VSV1J\n359JdEhKmHKWpL/db3rRNrM3ZhMaMhR2P0D5vbPfPKNjZrflHQzi6zeduV3Sl3b8ieN5jAwpZ4nj\nufTMbJ+ZfUXSC5Ied/eBx3Ne19pVT4iALZ+XdLO7NyQ9ru/dqQBQLlckvanfPONXJP2HnONBTGY2\nJem3JP2cu38n73iQjj3KmeN5DLj7hru/TdIbJN1pZjN5x7RT1ROiv5C0/UnAG/q/23UZM5uU9H2S\n/iqT6JCUPcvZ3f/K3V/u/9iSdEdGsSE7YY53lJy7f2ereYa7X5IUmNnrcg4LEZlZoM2L5E+7+2/v\nsgjH8xjYq5w5nseLu39b0hO6vh9o7tfaVU+IvizprWb2ZjO7QdIHJF3cscxFSQ/0/z8v6fedyZvK\nZs9y3tH2/H3abMuM8XJR0k/1R6e6S1LX3Z/POygky8x+cKvtuZndqc3zHDexSqRffo9Ketrdf2nA\nYhzPJRemnDmey8/MjpjZjf3/H5T0Xklf27FY7tfak1murGjc/RUz+1lJvytpn6RPuvtTZvYxSZfd\n/aI2D9bzZraizY68H8gvYsQRspz/gZm9T5uj3nxT0k/nFjBiMbPfkPRuSa8zs+ck/aI2O2/K3f+t\npEuSfkLSiqR1SX8vn0gxihDlPC/phJm9Ium7kj7ATazS+ZuSjkv6ar/fgST9vKSjEsfzGAlTzhzP\n5XeTpMf6I/5OSPqsu/9O0a61jf0KAAAAQFVVvckcAAAAgAojIQIAAABQWSREAAAAACqLhAgAAABA\nZZEQAQAAAKgsEiIAAAAAlUVCBAAAAKCySIgAAKVkZu8ws2UzO2Bmh8zsKTObyTsuAEC5MDErAKC0\nzOyfSDog6aCk59z9n+ccEgCgZEiIAAClZWY3SPqypJckvcvdN3IOCQBQMjSZAwCU2fdLmpJ0WJtP\nigAAiIQnRACA0jKzi5I+I+nNkm5y95/NOSQAQMlM5h0AAABxmNlPSeq5+6+b2T5Jf2hmd7v77+cd\nGwCgPHhCBAAAAKCy6EMEAAAAoLJIiAAAAABUFgkRAAAAgMoiIQIAAABQWSREAAAAACqLhAgAAABA\nZZEQAQAAAKgsEiIAAAAAlfX/AcQWNKlm1BNOAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f135a514c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(20170401)\n",
"n = 100\n",
"X = np.sort(3*np.random.rand(n))[:,None]\n",
"\n",
"with pm.Model() as model:\n",
" # f(x)\n",
" l_true = 0.3\n",
" s2_f_true = 1.0\n",
" cov = s2_f_true * pm.gp.cov.ExpQuad(1, l_true)\n",
"\n",
" # noise, epsilon\n",
" s2_n_true = 0.1\n",
" K_noise = s2_n_true**2 * tt.eye(n)\n",
" K = cov(X) + K_noise\n",
"\n",
"# evaluate the covariance with the given hyperparameters\n",
"K = theano.function([], cov(X) + K_noise)()\n",
"\n",
"# generate fake data from GP with white noise (with variance sigma2)\n",
"ymu = np.random.multivariate_normal(np.zeros(n), K)\n",
"ymu -= ymu.min()\n",
"y = np.random.poisson(np.exp(ymu))\n",
"\n",
"fig = plt.figure(figsize=(14,10))\n",
"ax1 = fig.add_subplot(211)\n",
"ax1.plot(X, ymu, 'ok', ms=10)\n",
"ax1.set_xlabel(\"x\")\n",
"ax1.set_ylabel(\"f(x)\")\n",
"\n",
"ax1 = fig.add_subplot(212)\n",
"ax1.plot(X, y, 'ok', ms=10)\n",
"ax1.set_xlabel(\"x\")\n",
"ax1.set_ylabel(\"exp(f(x))\")\n",
"\n",
"plt.show()\n",
"\n",
"Z = np.linspace(0,3,100)[:,None]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gaussian Likelihood\n",
"\n",
"## PyMC3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Set up model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with pm.Model() as model:\n",
" # priors on the covariance function hyperparameters\n",
" #l = pm.Uniform('l', 0, 10)\n",
" l = pm.Gamma('l',1.,1.,testval=l_true)\n",
"\n",
" # uninformative prior on the function variance\n",
" #log_s2_f = pm.Uniform('log_s2_f', lower=-10, upper=5)\n",
" #s2_f = pm.Deterministic('s2_f', tt.exp(log_s2_f))\n",
" s2_f = pm.Gamma('s2_f', 1.,1.,testval=s2_f_true)\n",
"\n",
" # uninformative prior on the noise variance\n",
" #log_s2_n = pm.Uniform('log_s2_n', lower=-10, upper=5)\n",
" #s2_n = pm.Deterministic('s2_n', tt.exp(log_s2_n))\n",
" s2_n = pm.Gamma('s2_n', 1.,1.,testval=s2_n_true)\n",
"\n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l)\n",
"\n",
" intercept = pm.Cauchy('b',alpha=0,beta=10)\n",
" meanfuc = pm.gp.mean.Constant(intercept)\n",
"\n",
" y_obs = pm.gp.GP('y_obs', \n",
" mean_func=meanfuc, \n",
" cov_func=f_cov, \n",
" sigma=s2_n,\n",
" observed={'X':X, 'Y':ymu},\n",
" total_size=n)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# with model:\n",
"# trace = pm.sample(2000,njobs=2,init=None)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with model:\n",
" # OLD ADVI api\n",
" #means, sds, elbos = pm.variational.advi(n=100000)\n",
" \n",
" # New ADVI api\n",
" s = theano.shared(pm.floatX(1))\n",
" inference = pm.FullRankADVI(cost_part_grad_scale=s)\n",
" # ADVI has nearly converged\n",
" inference.fit(n=20000)\n",
" # It is time to set `s` to zero\n",
" s.set_value(0)\n",
" approx = inference.fit(n=10000)\n",
" trace_vi = approx.sample_vp(10000) \n",
" \n",
" elbos1 = -inference.hist"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PyMC3 - with mini-batches for large input"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Generator that returns mini-batches in each iteration\n",
"def create_minibatch(data, batchsize = 20):\n",
" rng = np.random.RandomState(0)\n",
" \n",
" while True:\n",
" # Return random data samples of set size 100 each iteration\n",
" ixs = rng.randint(len(data), size=batchsize)\n",
" yield data[ixs]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Average Loss = 479.62: 100%|██████████| 20000/20000 [00:22<00:00, 890.98it/s]\n",
"Finished [100%]: Average Loss = 478.84\n",
"Average Loss = 474.45: 100%|██████████| 10000/10000 [00:10<00:00, 986.66it/s]\n",
"Finished [100%]: Average Loss = 473.86\n"
]
}
],
"source": [
"batchsize = 20\n",
"minibatch_x = pm.generator(create_minibatch(X, batchsize = batchsize))\n",
"minibatch_y = pm.generator(create_minibatch(ymu, batchsize = batchsize))\n",
"\n",
"with pm.Model() as modelmini:\n",
" # priors on the covariance function hyperparameters\n",
" #l = pm.Uniform('l', 0, 10)\n",
" l = pm.Gamma('l',1.,1.,testval=l_true)\n",
" \n",
" # uninformative prior on the function variance\n",
" #log_s2_f = pm.Uniform('log_s2_f', lower=-10, upper=5)\n",
" #s2_f = pm.Deterministic('s2_f', tt.exp(log_s2_f))\n",
" s2_f = pm.Gamma('s2_f', 1.,1.,testval=s2_f_true)\n",
"\n",
" # uninformative prior on the noise variance\n",
" #log_s2_n = pm.Uniform('log_s2_n', lower=-10, upper=5)\n",
" #s2_n = pm.Deterministic('s2_n', tt.exp(log_s2_n))\n",
" s2_n = pm.Gamma('s2_n', 1.,1.,testval=s2_n_true)\n",
"\n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l)\n",
" \n",
" intercept = pm.Cauchy('b',alpha=0,beta=10)\n",
" Sigma = f_cov(minibatch_x) + tt.eye(batchsize)*s2_n**2\n",
" y_mu = pm.MvNormal('y_mu', mu=intercept, cov=Sigma, observed=minibatch_y, total_size=n)\n",
" \n",
" # OLD ADVI api\n",
" #means, sds, elbos = pm.variational.advi(n=100000)\n",
" \n",
" # New ADVI api\n",
" s = theano.shared(pm.floatX(1))\n",
" inference = pm.FullRankADVI(cost_part_grad_scale=s)\n",
" # ADVI has nearly converged\n",
" inference.fit(n=20000)\n",
" # It is time to set `s` to zero\n",
" s.set_value(0)\n",
" approx = inference.fit(n=10000)\n",
" trace_vi = approx.sample_vp(10000) \n",
" \n",
" elbos1 = -inference.hist"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Display trace and fitted model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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A/wmUXMWTUOdeQO8m4MfKXr9qieHsU6QCzUkxxvSNaH0GuVESLeIES0SeAH4B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\n+ZmxrwhnpXquMednjLxKdnZa4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Vjj8jOoauzol9xkoJ/jLzMlNtXqcOnn7XI4hItml/UL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\nhQ/r2gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117474320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#temp_trace = trace[1000:]\n",
"temp_trace = trace_vi\n",
"pm.traceplot(temp_trace, varnames=['l', 's2_f', 's2_n'],\n",
" lines={\"l\": l_true,\n",
" \"s2_f\": s2_f_true,\n",
" \"s2_n\": s2_n_true})\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/scipy/stats/_multivariate.py:535: RuntimeWarning: covariance is not positive-semidefinite.\n",
" out = random_state.multivariate_normal(mean, cov, size)\n"
]
}
],
"source": [
"nsample = 100\n",
"with model:\n",
" gp_samples = pm.gp.sample_gp(temp_trace, y_obs, Z, samples=nsample, progressbar=None)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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T3SjBzKsSVVZ6t4oKLxHatAnWrYMNG2DzZm8t0JYtO1ps9y+ex6iyXEZVTaILmwEIk8JL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\nAunsijzA5Y5gAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ac884e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(14,5))\n",
"\n",
"[ax.plot(Z, x, color='b', alpha=0.1) for x in gp_samples]\n",
"meanline = np.mean(gp_samples, 0)\n",
"line, = ax.plot(Z.squeeze(), meanline,color='r', lw=2)\n",
"\n",
"# overlay the observed data\n",
"ax.plot(X, ymu, 'ok', ms=10);\n",
"ax.set_xlabel(\"x\");\n",
"ax.set_ylabel(\"f(x)\");\n",
"ax.set_title(\"Posterior predictive distribution\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## GPflow"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 100 \t Acc Rate: 98.0 %\n",
"Iteration: 200 \t Acc Rate: 91.0 %\n",
"Iteration: 300 \t Acc Rate: 84.0 %\n",
"Iteration: 400 \t Acc Rate: 75.0 %\n",
"Iteration: 500 \t Acc Rate: 74.0 %\n",
"Iteration: 600 \t Acc Rate: 84.0 %\n",
"Iteration: 700 \t Acc Rate: 72.0 %\n",
"Iteration: 800 \t Acc Rate: 53.0 %\n",
"Iteration: 900 \t Acc Rate: 22.0 %\n",
"Iteration: 1000 \t Acc Rate: 44.0 %\n",
"Iteration: 1100 \t Acc Rate: 50.0 %\n",
"Iteration: 1200 \t Acc Rate: 80.0 %\n",
"Iteration: 1300 \t Acc Rate: 67.0 %\n",
"Iteration: 1400 \t Acc Rate: 32.0 %\n",
"Iteration: 1500 \t Acc Rate: 37.0 %\n",
"Iteration: 1600 \t Acc Rate: 44.0 %\n",
"Iteration: 1700 \t Acc Rate: 67.0 %\n",
"Iteration: 1800 \t Acc Rate: 68.0 %\n",
"Iteration: 1900 \t Acc Rate: 84.0 %\n",
"Iteration: 2000 \t Acc Rate: 78.0 %\n"
]
}
],
"source": [
"import GPflow\n",
"X2 = X\n",
"Y2 = np.asarray(ymu[:,None],dtype=np.double)\n",
"#build the model\n",
"# k = GPflow.kernels.RBF(1,ARD=False)\n",
"k = GPflow.kernels.RBF(1,ARD=False)\n",
"l = GPflow.likelihoods.Gaussian()\n",
"m = GPflow.gpmc.GPMC(X2, Y2, k, l)\n",
"\n",
"m.kern.lengthscales.prior = GPflow.priors.Gamma(1., 1.)\n",
"m.kern.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"\n",
"m.optimize(maxiter=15) # start near MAP\n",
"samples = m.sample(2000, verbose=True, epsilon=0.0075, Lmax=15)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JbetTtXJsQYcSkSgRasPvoHPOmZkDMLPqYYxJREQkGl0MtHHOaRhFKRPMjMfP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\nw5wSPxERERERkWHu/wND32hwqz6oMgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119939c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(3, 2, figsize=(15,6))\n",
"parameter_samples = m.get_samples_df(samples)\n",
"reallineval = [l_true,s2_f_true,s2_n_true**2]\n",
"for ii, col in enumerate(parameter_samples.columns.sort_values()[1:]):\n",
" temp = np.asarray(parameter_samples[col])\n",
" ax[ii,0].hist(temp,alpha=0.4, bins=50)\n",
" ax[ii,0].set_title(str(col))\n",
" ax[ii,1].plot(temp)\n",
" ax[ii,1].set_title(str(col))\n",
" ax[ii, 0].set_ylabel(\"Frequency\")\n",
" ax[ii, 1].set_ylabel(\"Sample value\")\n",
" ax[ii, 0].axvline(reallineval[ii],color='r')\n",
" ax[ii, 1].axhline(reallineval[ii],color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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h+9//nA6fiEhDkRzD564EBltrS40xbuAjY0yRtfbTGJ5TREQOsaKiIrKzswkG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\nfHoDWygkFApgrSUQCJCfn09mZiZFRUX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uk718uf74u+9g/34dxHWjGFeIuLnoomk89lgJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122a822b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"realizations = []\n",
"samples2 = samples[1000:]\n",
"nsample = 100\n",
"indices = np.random.randint(0, len(samples2), nsample)\n",
"for sample in samples2[indices]:\n",
" m.set_state(sample)\n",
" realizations.append(m.predict_f_samples(Z, 1).squeeze())\n",
"realizations = np.vstack(realizations)\n",
"\n",
"fig, ax = plt.subplots(figsize=(14, 5))\n",
"\n",
"for draw in realizations:\n",
" ax.plot(Z.squeeze(), draw, color='b', alpha = 0.1)\n",
" \n",
"meanline = np.mean(realizations, 0)\n",
"line, = ax.plot(Z.squeeze(), meanline,color='r', lw=2)\n",
"# overlay the observed data\n",
"ax.plot(X, ymu, 'ok', ms=10);\n",
"ax.set_xlabel(\"x\");\n",
"ax.set_ylabel(\"f(x)\");\n",
"ax.set_title(\"Posterior predictive distribution\");\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# With poisson likelihood"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with pm.Model() as model2:\n",
" # priors on the covariance function hyperparameters\n",
" #l = pm.Uniform('l', 0, 10)\n",
" l = pm.Gamma('l',1.,1.)#,testval=l_true)\n",
" \n",
" # uninformative prior on the function variance\n",
" #log_s2_f = pm.Uniform('log_s2_f', lower=-10, upper=5)\n",
" #s2_f = pm.Deterministic('s2_f', tt.exp(log_s2_f))\n",
" s2_f = pm.Gamma('s2_f', 1.,1.)#,testval=s2_f_true)\n",
"\n",
" # uninformative prior on the noise variance\n",
" #log_s2_n = pm.Uniform('log_s2_n', lower=-10, upper=5)\n",
" #s2_n = pm.Deterministic('s2_n', tt.exp(log_s2_n))\n",
" s2_n = pm.Gamma('s2_n', 1.,1.)#,testval=s2_n_true)\n",
" \n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l)\n",
" \n",
" intercept = pm.Cauchy('b',alpha=0,beta=10)\n",
"# meanfuc = pm.gp.mean.Constant(intercept)\n",
"# y_obs = pm.gp.GP('y_obs', cov_func=f_cov, sigma=s2_n, observed={'X':X, 'Y':ymu})\n",
" \n",
" Sigma = f_cov(X) + tt.eye(n)*s2_n**2\n",
" y_mu = pm.MvNormal('y_mu', mu=intercept, cov=Sigma, shape=(n,))\n",
" y_obs = pm.Poisson('y_obs', mu=pm.math.exp(y_mu), observed=y)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# with model2:\n",
"# trace1 = pm.sample(2000,njobs=2)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Average Loss = 247.32: 100%|██████████| 20000/20000 [07:25<00:00, 29.95it/s]\n",
"Finished [100%]: Average Loss = 247.34\n",
"Average Loss = 241.53: 100%|██████████| 10000/10000 [03:33<00:00, 46.75it/s]\n",
"Finished [100%]: Average Loss = 241.36\n"
]
}
],
"source": [
"with model2:\n",
" # OLD ADVI api\n",
" #means, sds, elbos = pm.variational.advi(n=100000)\n",
" \n",
" # New ADVI api\n",
" s = theano.shared(pm.floatX(1))\n",
" inference = pm.FullRankADVI(cost_part_grad_scale=s)\n",
" # ADVI has nearly converged\n",
" inference.fit(n=20000)\n",
" # It is time to set `s` to zero\n",
" s.set_value(0)\n",
" approx = inference.fit(n=10000)\n",
" trace_vi = approx.sample_vp(10000) \n",
" \n",
" elbos1 = -inference.hist"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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afu5KqfCIyBXBLr08fTFQYIzZZ4xpAVYAy7st8zngPmNMJYAxJmqOql/feYzXdx7z+1ht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\nFZpgRaGKumZu/Os6Oozh0c8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PbWFfeT13XDCNL50zJegM3EpFGxFhwYQsFkzI4juXzuKD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2wa8tEzQ9aDZYx5Q0SmBd29BrjUuv4g8DrwpaGKSanR6N5XDnqTrNtX4nAkv2JgLK5d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\ngKnAKeAkMMW6b0SaW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"text/plain": [
"<matplotlib.figure.Figure at 0x7f134e3f4390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#temp_trace = trace1[1000:]\n",
"temp_trace = trace_vi\n",
"pm.traceplot(temp_trace, varnames=['l', 's2_f', 's2_n'],\n",
" lines={\"l\": l_true,\n",
" \"s2_f\": s2_f_true,\n",
" \"s2_n\": s2_n_true})\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PyMC3 - with mini-batches for large input"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Average Loss = 1,025.6: 100%|██████████| 50000/50000 [01:42<00:00, 486.23it/s]\n",
"Finished [100%]: Average Loss = 1,025.9\n",
"Average Loss = 1,016.9: 100%|██████████| 10000/10000 [00:28<00:00, 347.67it/s]\n",
"Finished [100%]: Average Loss = 1,016.4\n"
]
}
],
"source": [
"batchsize = 50\n",
"minibatch_x = pm.generator(create_minibatch(X, batchsize = batchsize))\n",
"minibatch_y = pm.generator(create_minibatch(y, batchsize = batchsize))\n",
"jitter = 1e-6\n",
"with pm.Model() as modelmini2:\n",
" # priors on the covariance function hyperparameters\n",
" #l = pm.Uniform('l', 0, 10)\n",
" l = pm.Gamma('l',1.,1.,testval=l_true)\n",
" \n",
" # uninformative prior on the function variance\n",
" #log_s2_f = pm.Uniform('log_s2_f', lower=-10, upper=5)\n",
" #s2_f = pm.Deterministic('s2_f', tt.exp(log_s2_f))\n",
" s2_f = pm.Gamma('s2_f', 1.,1.,testval=s2_f_true)\n",
"\n",
" # uninformative prior on the noise variance\n",
" #log_s2_n = pm.Uniform('log_s2_n', lower=-10, upper=5)\n",
" #s2_n = pm.Deterministic('s2_n', tt.exp(log_s2_n))\n",
" s2_n = pm.Gamma('s2_n', 1.,1.,testval=s2_n_true)\n",
"\n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l)\n",
" \n",
" intercept = pm.Cauchy('b',alpha=0,beta=10)\n",
"# meanfuc = pm.gp.mean.Constant(intercept)\n",
"# y_obs = pm.gp.GP('y_obs', cov_func=f_cov, sigma=s2_n, observed={'X':X, 'Y':ymu})\n",
" \n",
" Sigma = f_cov(minibatch_x) + tt.eye(batchsize)*s2_n**2\n",
" y_mu = pm.MvNormal('y_mu', mu=intercept, cov=Sigma, shape=(batchsize,))\n",
" y_obs = pm.Poisson('y_obs', mu=pm.math.exp(y_mu), observed=minibatch_y, total_size=n)\n",
" \n",
" # OLD ADVI api\n",
" #means, sds, elbos = pm.variational.advi(n=100000)\n",
" \n",
" # New ADVI api\n",
" s = theano.shared(pm.floatX(1))\n",
" inference = pm.ADVI(cost_part_grad_scale=s)\n",
" # ADVI has nearly converged\n",
" inference.fit(n=50000)\n",
" # It is time to set `s` to zero\n",
" s.set_value(0)\n",
" approx = inference.fit(n=10000)\n",
" trace_vi2 = approx.sample_vp(1000)\n",
" \n",
" elbos1 = -inference.hist"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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uB6YAicA459xCb1u3A+PN7D7gO+DFKJa7WNTjISIVSdSChzdi6uJC1t0P3B8h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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1312bda7b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(elbos1)\n",
"plt.ylim(-1e4,0)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Display trace and fitted model"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MF2TQFho201CLNU8kW2h/RqpXbRlP4zwQYOxu7QtJoKO/UHKvwVCWrfGFJdAb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\n6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t3rWsblYLnccdlWV+zsjbD+QMuA3Rv959V/nZ1HivfSpZDD8fHpLIyRzt4I7d19RKIq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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f131f5c7390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#temp_trace = trace1[1000:]\n",
"temp_trace = trace_vi2\n",
"pm.traceplot(temp_trace, varnames=['l', 's2_f', 's2_n'],\n",
" lines={\"l\": l_true,\n",
" \"s2_f\": s2_f_true,\n",
" \"s2_n\": s2_n_true})\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/dist-packages/scipy/stats/_multivariate.py:535: RuntimeWarning: covariance is not positive-semidefinite.\n",
" out = random_state.multivariate_normal(mean, cov, size)\n"
]
}
],
"source": [
"from theano.tensor.nlinalg import matrix_inverse\n",
"nsample = 100\n",
"indices = np.random.randint(0, len(temp_trace), nsample)\n",
"X1 = X\n",
"with model2:\n",
" S_xz = f_cov(X1, Z)\n",
" S_zz = f_cov(Z)\n",
" S_inv = matrix_inverse(f_cov(X1) + tt.eye(X1.shape[0])*s2_n**2)\n",
" \n",
" # Posterior mean\n",
" m_post = tt.dot(tt.dot(S_xz.T, S_inv), ymu)\n",
" # Posterior covariance\n",
" S_post = S_zz - tt.dot(tt.dot(S_xz.T, S_inv), S_xz)\n",
"\n",
" gp_post = pm.MvNormal.dist(m_post, S_post, shape=Z.shape[0])\n",
"\n",
" samples = [gp_post.random(point=temp_trace[idx]) for idx in indices]\n",
"\n",
"gp_samples=np.array(samples)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f1340282c18>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+4oebw9mwoZVZs2ZSKBy+KYHPF2DBgis55xxbDPUV627iI8+8Dz9FfhRewhea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\nG/HVr+4vUiicPv7xBpx8cm3Ok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"text/plain": [
"<matplotlib.figure.Figure at 0x7f135090b400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(14,5))\n",
"\n",
"[ax.plot(Z, x, color='b', alpha=0.1) for x in gp_samples]\n",
"meanline = np.mean(gp_samples, 0)\n",
"line, = ax.plot(Z.squeeze(), meanline,color='r', lw=2)\n",
"\n",
"# overlay the observed data\n",
"ax.plot(X, ymu, 'ok', ms=10);\n",
"ax.set_xlabel(\"x\");\n",
"ax.set_ylabel(\"f(x)\");\n",
"ax.set_title(\"Posterior predictive distribution\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## GPflow"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 100 \t Acc Rate: 91.0 %\n",
"Iteration: 200 \t Acc Rate: 97.0 %\n",
"Iteration: 300 \t Acc Rate: 96.0 %\n",
"Iteration: 400 \t Acc Rate: 91.0 %\n",
"Iteration: 500 \t Acc Rate: 91.0 %\n",
"Iteration: 600 \t Acc Rate: 93.0 %\n",
"Iteration: 700 \t Acc Rate: 90.0 %\n",
"Iteration: 800 \t Acc Rate: 92.0 %\n",
"Iteration: 900 \t Acc Rate: 94.0 %\n",
"Iteration: 1000 \t Acc Rate: 95.0 %\n",
"Iteration: 1100 \t Acc Rate: 85.0 %\n",
"Iteration: 1200 \t Acc Rate: 96.0 %\n",
"Iteration: 1300 \t Acc Rate: 96.0 %\n",
"Iteration: 1400 \t Acc Rate: 94.0 %\n",
"Iteration: 1500 \t Acc Rate: 95.0 %\n",
"Iteration: 1600 \t Acc Rate: 98.0 %\n",
"Iteration: 1700 \t Acc Rate: 96.0 %\n",
"Iteration: 1800 \t Acc Rate: 99.0 %\n",
"Iteration: 1900 \t Acc Rate: 96.0 %\n",
"Iteration: 2000 \t Acc Rate: 99.0 %\n"
]
}
],
"source": [
"import GPflow\n",
"X2 = X\n",
"Y2 = np.asarray(y[:,None],dtype=np.double)\n",
"\n",
"#build the model\n",
"# k = GPflow.kernels.RBF(1,ARD=False)\n",
"u = GPflow.mean_functions.Constant()\n",
"k = GPflow.kernels.RBF(1,ARD=False) + GPflow.kernels.Bias(1)\n",
"l = GPflow.likelihoods.Poisson()\n",
"m = GPflow.gpmc.GPMC(X2, Y2, k, l, mean_function=u)\n",
"\n",
"m.kern.rbf.lengthscales.prior = GPflow.priors.Gamma(1., 1.)\n",
"m.kern.rbf.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"m.kern.bias.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"\n",
"# m.kern.lengthscales.prior = GPflow.priors.Gamma(1., 1.)\n",
"# m.kern.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"\n",
"m.optimize(maxiter=15) # start near MAP\n",
"samples = m.sample(2000, verbose=True, epsilon=0.0075, Lmax=15)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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d7e+sYu/UcTz/nVVy/e9l+6ot4+drVc9HgOPABuAu4Fvgz/4KSimllKqNRCRa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\n04afUkoppZRSSoW5/weZ5r/f4VMrfgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12f08b828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(3, 2, figsize=(15,6))\n",
"parameter_samples = m.get_samples_df(samples)\n",
"reallineval = [s2_n_true**2,l_true,s2_f_true,]\n",
"for ii, col in enumerate(parameter_samples.columns.sort_values()[1:-1]):\n",
" temp = np.asarray(parameter_samples[col])\n",
" ax[ii,0].hist(temp,alpha=0.4, bins=50)\n",
" ax[ii,0].set_title(str(col))\n",
" ax[ii,1].plot(temp)\n",
" ax[ii,1].set_title(str(col))\n",
" ax[ii, 0].set_ylabel(\"Frequency\")\n",
" ax[ii, 1].set_ylabel(\"Sample value\")\n",
" ax[ii, 0].axvline(reallineval[ii],color='r')\n",
" ax[ii, 1].axhline(reallineval[ii],color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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zH6YkE2XbNvjHP+BHP7IudCIi3VHOAiHnXJFz7jnn3MvOuaXOuZtyNRYREXn7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\nKIqiKAuO/w/H/PtClchSPwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122a426a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"realizations = []\n",
"samples2 = samples[1500:]\n",
"nsample = 100\n",
"indices = np.random.randint(0, len(samples2), nsample)\n",
"for sample in samples2[indices]:\n",
" m.set_state(sample)\n",
" realizations.append(m.predict_f_samples(Z, 1).squeeze())\n",
"realizations = np.vstack(realizations)\n",
"\n",
"fig, ax = plt.subplots(figsize=(14, 5))\n",
"\n",
"[ax.plot(Z.squeeze(), draw, color='b', alpha = 0.1) for draw in realizations]\n",
" \n",
"meanline = np.mean(realizations, 0)\n",
"line, = ax.plot(Z.squeeze(), meanline,color='r', lw=2)\n",
"# overlay the observed data\n",
"ax.plot(X, ymu, 'ok', ms=10);\n",
"ax.set_xlabel(\"x\");\n",
"ax.set_ylabel(\"f(x)\");\n",
"ax.set_title(\"Posterior predictive distribution\");\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# With poisson likelihood - 2 \n",
"Here I am trying to used GP to approximate a (smoothed) histogram. Similar to the idea of using Dirichlet process mixture [to estimate the density in PyMC3](http://pymc-devs.github.io/pymc3/notebooks/dp_mix.html#Dirichlet-process-mixtures)\n",
"I am also using the Old Faithful data: waiting times between eruptions of the Old Faithful geyser in Yellowstone National Park.\n",
"### Current problem: PyMC3 is overestimating the kernel length scale"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Unnamed: 0</th>\n",
" <th>eruptions</th>\n",
" <th>waiting</th>\n",
" <th>std_waiting</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>3.600</td>\n",
" <td>79</td>\n",
" <td>0.596025</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2</td>\n",
" <td>1.800</td>\n",
" <td>54</td>\n",
" <td>-1.242890</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3</td>\n",
" <td>3.333</td>\n",
" <td>74</td>\n",
" <td>0.228242</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4</td>\n",
" <td>2.283</td>\n",
" <td>62</td>\n",
" <td>-0.654437</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5</td>\n",
" <td>4.533</td>\n",
" <td>85</td>\n",
" <td>1.037364</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Unnamed: 0 eruptions waiting std_waiting\n",
"0 1 3.600 79 0.596025\n",
"1 2 1.800 54 -1.242890\n",
"2 3 3.333 74 0.228242\n",
"3 4 2.283 62 -0.654437\n",
"4 5 4.533 85 1.037364"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"httpdir = 'http://vincentarelbundock.github.io/Rdatasets/csv/datasets/faithful.csv'\n",
"old_faithful_df = pd.read_csv(httpdir)\n",
"#old_faithful_df = get_rdataset('faithful', cache=True).data[['waiting']]\n",
"old_faithful_df['std_waiting'] = (old_faithful_df.waiting - old_faithful_df.waiting.mean()) / old_faithful_df.waiting.std()\n",
"\n",
"old_faithful_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f48e2c0b940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx = np.linspace(-3,3,41)\n",
"hist, bin_edges = np.histogram(old_faithful_df.std_waiting, bins=xx)\n",
"bincenter = bin_edges[:-1] + np.diff(bin_edges)/2\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"ax.bar(bincenter,hist,.125)\n",
"ax.set_xlabel('Standardized waiting time between eruptions');\n",
"ax.set_ylabel('Number of eruptions');\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 100 \t Acc Rate: 95.0 %\n",
"Iteration: 200 \t Acc Rate: 94.0 %\n",
"Iteration: 300 \t Acc Rate: 95.0 %\n",
"Iteration: 400 \t Acc Rate: 95.0 %\n",
"Iteration: 500 \t Acc Rate: 95.0 %\n",
"Iteration: 600 \t Acc Rate: 95.0 %\n",
"Iteration: 700 \t Acc Rate: 89.0 %\n",
"Iteration: 800 \t Acc Rate: 94.0 %\n",
"Iteration: 900 \t Acc Rate: 95.0 %\n",
"Iteration: 1000 \t Acc Rate: 94.0 %\n",
"Iteration: 1100 \t Acc Rate: 94.0 %\n",
"Iteration: 1200 \t Acc Rate: 95.0 %\n",
"Iteration: 1300 \t Acc Rate: 90.0 %\n",
"Iteration: 1400 \t Acc Rate: 91.0 %\n",
"Iteration: 1500 \t Acc Rate: 95.0 %\n",
"Iteration: 1600 \t Acc Rate: 89.0 %\n",
"Iteration: 1700 \t Acc Rate: 95.0 %\n",
"Iteration: 1800 \t Acc Rate: 93.0 %\n",
"Iteration: 1900 \t Acc Rate: 90.0 %\n",
"Iteration: 2000 \t Acc Rate: 95.0 %\n"
]
}
],
"source": [
"import GPflow\n",
"X2 = bincenter[:,None]\n",
"Y2 = np.asarray(hist[:,None],dtype=np.double)\n",
"\n",
"#build the model\n",
"# k = GPflow.kernels.RBF(1,ARD=False)\n",
"k = GPflow.kernels.RBF(1,ARD=False) + GPflow.kernels.Bias(1)\n",
"l = GPflow.likelihoods.Poisson()\n",
"m = GPflow.gpmc.GPMC(X2, Y2, k, l)\n",
"\n",
"m.kern.rbf.lengthscales.prior = GPflow.priors.Gamma(1., 1.)\n",
"m.kern.rbf.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"m.kern.bias.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"\n",
"# m.kern.lengthscales.prior = GPflow.priors.Gamma(1., 1.)\n",
"# m.kern.variance.prior = GPflow.priors.Gamma(1.,1.)\n",
"\n",
"m.optimize(maxiter=15) # start near MAP\n",
"GPsamples = m.sample(2000, verbose=True, epsilon=0.025, Lmax=15)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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4Os62KKWUUulqf2PMCNftT0UkYUeBiRwH7xQdqfYH6JCTwU77LPqIXu0BWsUE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\n+/saX7tlp/soo5ceOZRPV5ewrSyygXpH4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2PxCze4jwS3MrNyR0XM54uUCx+fw19mrPW5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\njExtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f48c05b86a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(3, 2, figsize=(15,6))\n",
"parameter_samples = m.get_samples_df(GPsamples)\n",
"meanline = []\n",
"for ii, col in enumerate(parameter_samples.columns.sort_values()[1:]):\n",
" temp = np.asarray(parameter_samples[col])\n",
" ax[ii,0].hist(temp,alpha=0.4, bins=50)\n",
" ax[ii,0].set_title(str(col))\n",
" ax[ii,1].plot(temp)\n",
" ax[ii,1].set_title(str(col))\n",
" ax[ii, 0].set_ylabel(\"Frequency\")\n",
" ax[ii, 1].set_ylabel(\"Sample value\")\n",
" meanline.append(np.mean(temp))\n",
" ax[ii, 0].axvline(meanline[ii],color='r')\n",
" ax[ii, 1].axhline(meanline[ii],color='r')\n",
"plt.show()\n",
"meanline=np.asarray(meanline).flatten()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### GP model\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Gi5DzfGs+I8e5HFyQHce5MqINkoi5GbvKXgoJxCgIQlqL1GfeZP/iqywwwZPh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2yR5w89FPzeGvFYQFx3+bz5n3x90Rs5wf0VJ5V/wUmjv+Lo+jqOHbqFY7kF+DjbnX5+4p/IL0aP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4892e13898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"realizations = []\n",
"samples2 = GPsamples[1500:]\n",
"nsample = 100\n",
"indices = np.random.randint(0, len(samples2), nsample)\n",
"for sample in samples2[indices]:\n",
" m.set_state(sample)\n",
" realizations.append(m.predict_f_samples(X2, 1).squeeze())\n",
"realizations = np.exp(np.vstack(realizations))\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"ax.bar(bincenter,hist,.125)\n",
"\n",
"for draw in realizations:\n",
" ax.plot(X2.squeeze(), draw, color='b', alpha = 0.1)\n",
" \n",
"meanlines = np.mean(realizations, 0)\n",
"line, = ax.plot(X2.squeeze(), meanlines,color='r', lw=2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X = bincenter[:,None]\n",
"y = hist[:,None]\n",
"n = len(y)\n",
"with pm.Model() as GPmodel:\n",
" # priors on the covariance function hyperparameters\n",
" l = pm.Gamma('l', alpha=1.,beta=1.,testval=meanline[1])\n",
"\n",
" # uninformative prior on the function variance\n",
" s2_f = pm.Gamma('s2_f', alpha=1.,beta=1.,testval=meanline[2])\n",
"\n",
" # uninformative prior on the noise variance\n",
" s2_n = pm.Gamma('s2_n', alpha=1.,beta=1.,testval=meanline[0])\n",
"\n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l)\n",
"\n",
" intercept = pm.Cauchy('b',alpha=0,beta=10)\n",
"# meanfuc = pm.gp.mean.Constant(intercept)\n",
"# y_obs = pm.gp.GP('y_obs', cov_func=f_cov, sigma=s2_n, observed={'X':X, 'Y':y})\n",
" \n",
" Sigma = f_cov(X) + tt.eye(n)*s2_n**2\n",
" y_mu = pm.MvNormal('y_mu', mu=intercept, cov=Sigma, shape=(n,))\n",
" y_obs = pm.Poisson('y_obs', mu=pm.math.exp(y_mu), observed=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### GP model 2 \n",
"[Gist from bwengals](https://gist.github.com/bwengals/c3396c2d5e3127ec4a9969fd69ec5a3f)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X = bincenter[:,None]\n",
"y = hist[:,None]\n",
"n = len(y) # 40\n",
"jitter = 1e-6\n",
"with pm.Model() as GPmodel:\n",
" # priors on the covariance function hyperparameters\n",
" l = pm.Gamma('l', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # uninformative prior on the function variance\n",
" s2_f = pm.Gamma('s2_f', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # uninformative prior on the noise variance\n",
" s2_n = pm.Gamma('s2_n', alpha=1.,beta=1.,testval=1e-5)\n",
" \n",
" #intercept = pm.Normal(\"intercept\", mu=0.0, sd=50)\n",
" bias = pm.Gamma('bias', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l) + bias # add 'bias' kernel\n",
" Sigma = f_cov(X) + s2_n * tt.eye(n)\n",
" L = tt.slinalg.cholesky(Sigma + jitter * tt.eye(n)) # add fixed amount of jitter to guarantee numerically stable\n",
" \n",
" v = pm.Normal(\"v\", mu=0.0, sd=1.0, shape=(n,1)) # watch this shape!!!\n",
" f = pm.Deterministic(\"f\", tt.dot(L, v))\n",
" \n",
" y_obs = pm.Poisson('y_obs', mu=pm.math.exp(f), observed=y)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using advi...\n",
"Average ELBO = -133.66: 100%|██████████| 50000/50000 [00:57<00:00, 866.58it/s] \n",
"Finished [100%]: Average ELBO = -133\n",
"100%|██████████| 1000/1000 [06:44<00:00, 4.19it/s]\n"
]
}
],
"source": [
"with GPmodel:\n",
" #step = pm.HamiltonianMC(step_scale=0.25)\n",
" trace1 = pm.sample(1000,njobs=2,n_init=50000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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KnD/p2Nu1dkI2lG1KAs71EAhv20/vHebBrX2VnXtpky2abOwaVd3ixpl+JNjk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PwYaJjLYwT4GPB74AngW0B0ro2RcX4PD3tMAG91+uZZ4C1H2y5xDmowGAwGg8FgMBgMhqPEhAga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\nvf0IjI/HVgznSZUSyzuzPLVFo
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