Revision 1db48f3a735eb0fba06a7d503f080a7ead512604 authored by Artem Artemev on 11 July 2018, 12:50:44 UTC, committed by GitHub on 11 July 2018, 12:50:44 UTC
1 parent 707b195
svi_test.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Stochastic Variational Optimization with SVIGP\n",
"--\n",
"\n",
"* Mark van der Wilk, 2016 *\n",
"* edits by James Hensman, 2016*"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:19.648795Z",
"start_time": "2018-06-19T10:03:18.667009Z"
}
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import sys\n",
"import numpy as np\n",
"import numpy.random as rnd\n",
"import time\n",
"import gpflow\n",
"import tensorflow as tf\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:19.651465Z",
"start_time": "2018-06-19T10:03:19.649895Z"
}
},
"outputs": [],
"source": [
"M = 50"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:19.834478Z",
"start_time": "2018-06-19T10:03:19.652438Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb4301f4ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def func(x):\n",
" return np.sin(x * 3*3.14) + 0.3*np.cos(x * 9*3.14) + 0.5 * np.sin(x * 7*3.14)\n",
"X = rnd.rand(10000, 1) * 2 - 1\n",
"Y = func(X) + rnd.randn(10000, 1) * 0.2\n",
"plt.plot(X, Y, 'x')\n",
"D = X.shape[1]\n",
"Xt = np.linspace(-1.1, 1.1, 100)[:, None]\n",
"Yt = func(Xt)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:20.018696Z",
"start_time": "2018-06-19T10:03:19.835794Z"
}
},
"outputs": [],
"source": [
"def init():\n",
" kern = gpflow.kernels.RBF(D, 1)\n",
" Z = X[:M, :].copy()\n",
" m = gpflow.models.SVGP(X, Y, kern, gpflow.likelihoods.Gaussian(), Z, minibatch_size=len(X))\n",
" return m\n",
"\n",
"m = init()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Stochastical estimation of ELBO\n",
"The minibatch estimate should be an unbiased estimator of the `ground_truth`. Here we show a histogram of the value from different evaluations, together with its mean and the ground truth. The small difference between the mean of the minibatch estimations and the ground truth shows that the minibatch estimator is working as expected."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:20.325718Z",
"start_time": "2018-06-19T10:03:20.019850Z"
}
},
"outputs": [],
"source": [
"ground_truth = m.compute_log_likelihood()\n",
"m.X.set_batch_size(100)\n",
"m.Y.set_batch_size(100)\n",
"evals = [m.compute_log_likelihood() for _ in range(100)]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:20.447316Z",
"start_time": "2018-06-19T10:03:20.326855Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x7fb3e6155c88>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb3e6155b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(evals)\n",
"plt.axvline(ground_truth)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Minibatches speed up computation\n",
"The use of using minibatches is that it decreases the time needed to make an optimisation step, since estmating the objective is cheaper. Here we plot the change in time required with the size of the minibatch. We see that smaller minibatches result in a cheaper estimate of the objective."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:21.935138Z",
"start_time": "2018-06-19T10:03:20.448899Z"
}
},
"outputs": [],
"source": [
"mbps = np.logspace(-2, 0, 10)\n",
"times = []\n",
"objs = []\n",
"for mbp in mbps:\n",
" batchsize = int(len(X) * mbp)\n",
" m.X.set_batch_size(batchsize)\n",
" m.Y.set_batch_size(batchsize)\n",
" start_time = time.time()\n",
" objs.append([m.compute_log_likelihood() for _ in range(20)])\n",
"# plt.hist(objs, bins = 100)\n",
"# plt.axvline(ground_truth, color='r')\n",
" times.append(time.time() - start_time)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:22.175432Z",
"start_time": "2018-06-19T10:03:21.936320Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'ELBO estimates')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb3ab77e390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 6))\n",
"ax1.plot(mbps, times, 'x-')\n",
"ax1.set_xlabel(\"Minibatch proportion\")\n",
"ax1.set_ylabel(\"Time taken\")\n",
"\n",
"ax2.plot(mbps, np.array(objs), 'kx')\n",
"ax2.set_xlabel(\"Minibatch proportion\")\n",
"ax2.set_ylabel(\"ELBO estimates\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Running stochastic optimization"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:22.427663Z",
"start_time": "2018-06-19T10:03:22.176572Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Predictions before training')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb3e40b6eb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot():\n",
" pX = np.linspace(-1, 1, 100)[:, None]\n",
" pY, pYv = m.predict_y(pX)\n",
" plt.plot(X, Y, 'x')\n",
" line, = plt.plot(pX, pY, lw=1.5)\n",
" col = line.get_color()\n",
" plt.plot(pX, pY+2*pYv**0.5, col, lw=1.5)\n",
" plt.plot(pX, pY-2*pYv**0.5, col, lw=1.5)\n",
" plt.plot(m.feature.Z.value, np.zeros(m.feature.Z.value.shape), 'k|', mew=2)\n",
"\n",
"plot()\n",
"plt.title(\"Predictions before training\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:22.435885Z",
"start_time": "2018-06-19T10:03:22.429052Z"
}
},
"outputs": [],
"source": [
"class Logger(gpflow.actions.Action):\n",
" def __init__(self, model):\n",
" self.model = model\n",
" self.logf = []\n",
" \n",
" def run(self, ctx):\n",
" if (ctx.iteration % 10) == 0:\n",
" likelihood = - ctx.session.run(self.model.likelihood_tensor)\n",
" self.logf.append(likelihood)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:32.117175Z",
"start_time": "2018-06-19T10:03:22.437954Z"
}
},
"outputs": [],
"source": [
"m.X.set_batch_size(100)\n",
"m.Y.set_batch_size(100)\n",
"\n",
"m.feature.trainable = False\n",
"\n",
"def run_adam(model, iterations):\n",
" adam = gpflow.train.AdamOptimizer().make_optimize_action(model)\n",
" logger = Logger(model)\n",
" actions = [adam, logger]\n",
" loop = gpflow.actions.Loop(actions, stop=iterations)()\n",
" model.anchor(model.enquire_session())\n",
" return logger\n",
"\n",
"logger = run_adam(m, gpflow.test_util.notebook_niter(10000))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:32.238753Z",
"start_time": "2018-06-19T10:03:32.118770Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'ELBO')"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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bBQRm+KOjsspWf92Km/O/qrQbPvSXmgif4PRLMUf/AMasVfVrlUKPFkDAd4FLRGQVgIik/ronAzNEZJWIvAvMAib5zywRecdrNzOAydZaA+wG3OHr3wbkN8IrvYdFC2DeB4RXXwAQuTnHaL/4h4Q3RyYTd+ethN89MDrO1lx6yJtpTuLa2bh1CpethgBacxy0tlQnfEsR02LG+qbuDFMUJ/6wLnSJ8RMqv8Yb/628bhmYDTYm+MKXMr0W60hPF0AbAl+01j5lrX3MWrudTx8HxP1BZ/u0fOmjgcUi0paVrvR2UnMFqYV+scla5xy8+ybuiYcjx4S4F9mQYZnttLXhFnxC+xnHVrvH5RN3jV5tTRiV337vnqjCZmzDRlZvf6Aii0Xd3b+PnXRjmKIUm24FcXfkQjHoElU2W61VhoArpuGYnvHor/sckLX2QWDNHFlnE/VvFLADsB0g1tr1qtyfKcAUABGhubm5onaSyWTFdRuVnjjm1mWLScX5HfzyM7QvX0rK0bV51ChSKnX223u/CRNpicXhGtCUIHjhX3xWwMSUWGMs7bkiG9SQ/oMG09bURM32t0wmaUomaH31peJlq0Dwn2c6xjpy2DBK2TJuxLm/YPF53y9eEBh17A9Ydvt1lCJemwYOpBRn7/477Moqv6C3/467saqEHVrNsBEkBgykVB+5puEjac1aswV0/H8u7N+fVqDfVtvT8kK0VsoMGNQR7qe5ubkm/891F0Aiske+PGvtd4E/iYgDnrbWhkAzMAeIi/jxPo086QuAEdbapNeC4uWz+zMNmOZP3fz5hRer5aO5uZlK6zYqPXHMbkH6kbT0qgsy8j6e8vW89VqyYpmtuOcOzD4HFr7WwUfDNRdW0MvuoyUMceX761VOkKB1XpHtKapIe+w+LfqkhPmngYNZ2q/IGpfhI2HJItj6CywZMoL2YnNsq60Jn3xIa4kWwNbtdwUvgFon/z8oQQC5VatoKyP8UGsec2Tq/7Pdt9U6dATBiecQXnMhbsx4gq9+A9YYy/z587v0/zx27NiSyvUMPSw/fwa+BGCt3RDoB8wH7gYOtdb2995tE4GngWeAidbaCdbafkSOCnd7AfYIcJBv90jgLpTeTyETTh7vKiDnGgn33qzC1xo6HDbYpHCZapNIpAOGVsrGW+ZuNxdhWHZctm4lNjfnimxrwKZbkfjl76H/wILFOtZKpRYfFxvfmuOj71JNcPGwQIkSdYC2lnTZ1dIGI/O1wwiu+SOsnWUYKtaXlJdbkEgvIg5DzObbYGoQAaGjGzW7UmXcDKxnrX2ZyKHgSBFxIvIKIMCrwN+BE0Sk3Ws3JwL3Aa8B4ssCnA6cYq2dRTQnlD96oNJ7KBIzrFtJJKszD1EGbsEnpT/U8hDs3VnTM1/OTDP72eigrbW2v3E2Mc+3eGTqnDT5EEHFXIxH+jm01MtLsZhxqd+71N89LoBKdHc2ex/YIVTMVjtgvnJoOq9/f8zWO2ZWyPUSEu9fSkAlYgKowth4XaHuJrhCeE+2b+bJuwjotJWgiNwL3Jsj/R0iLzmlL9FeHYFg9jkQBg/F3XFrOjGRqJ4nVjHW2QD+NwuWL+vyZLjZ5POdE/v1yzgN9v8m4aAhmHUnEl53cZeuVw5mp91xH7wH779dft2U51cix8N5VHNkdmtvT0cB6Ii8XfjBbJqaIue4UgVQhiAoTQcwex2QjoQRJOhkZR00OPM82Y9sghPOijXorxsEaY+4Orw89XQNSFHKxrW2pjdIK+XtPPufNx/xN8R+/THNa2TmJ5J1E0CJc67AfOtkgmNOyfn2Gxx/Vo5aEeaok4rH/sqRH+y1P2bDTWtvgqtwG4UOIZpL61i5suP+mmHD/XWydhjNR0ozKdW1OZFfAzKTdsEcdFTua3SYzYK0O3jq723goOh70BCCS24kOOw4zA5fyjQ3xsP8DBiQvn7MBFdrVAApvY7w+AMJz4wiQZdkVsgVKTkXcVfjIAGjV8/M76oGtMV2xcsUINhxd8zYtXNrQOPXzV9vpz068s23Ts5dqJCAytIyzV4HYHb/apHedoFKH5QpE1yu32fVSoIzLsN8+YB0NO+SBZAXKKUG8EzmMIUBbDkJ862TMDvm8MsKEum/vwGDOmWbgT4W3+pjMKNXx4wcTXDMDzKuFd+11gwbmb5+qg91MMGpAFJ6J6kIBiVoQOYLXyqtzfhi1KHDYXSZGtCgIfnzIPPBNHwkwY9/EQmEXCYxT3D6JQTXZQX7zLXYtJh5yPfbrJF7eZxZb6N0U2tmljFb7ZBZeORozMb5+9wlHJVrQInYxHs27W2Y9TeKAtRmP5CL/Q2lNJ9SI1LnmQMK9tofk2zCDB2GOfbUzn1PzXeNHJU2waWumdLis+993KwWj2M33AugMEz3oQ5zeSqAlN5NKQJo8+0wpQQmnft+uk7zGjBkKCa+YLWYBlQkwnBm/C2DWXs9gh13L1xng00wWRqcWe9znQvG3rTNtjt3zi+iuZlxaxNcdyfBOVcy6rJM/x1z5ImwflpA0dQPhgwt2F7Oa3jTk9l+l86Zm22dPi7hTT34wfmd208JypSJMpe3H3R6IJv/+3Lhi6WEe77fcLWsZY4ZJrggZ7rJelkxQdARFcKMGJ3OyDbBZUdtj2uL8aCuqfsTnzNUAaQo3UwpTgjJZKdJ9pzEHzCjV8MYw+q3/z2dlkhSMFZL6h88O8pCrva7EGLGHPJtgpOnZibGBdBROcxsqQdVgbd4k2zCrLM+wdBhndNXi7nuNjXlH2MutpxE4oa70xpiDpOo+XxMy4oFIM3LBht3Thu7dtSWMQQXTyP43o/T7R8Si3Ax0GsT3h052P2rrDHz35i9YtG74ppiKuqAb78T2RpXIgkTNoShwzHx3zuu2eXyYktpQCNG0ckLIaUBZQfNjQug+LVS5siWFhg5GrbekWDKabn7X0VUACm9GlfKW12yCYotTsxmZCzcTcr2nwggLCAs/Jt7cOI5ufM/t3msbIVmJvxk+BpZCwHjD8H4w23DTbMqV/hIiE/AJwsIoHU26JRkRvnV9ilBmyUEzf7fzDBbBcefiTn2VIJr/5gutPm2mX3PZWaL7VlkVlsTk5p8X+9zBHt8LZ03ejWCk84lOPoHGdWDg48muOC6zL4CZvNtCM78Wea81+qx3z+HUE+cdTmJK27PTIybyAqt5RoxCrPznjBmregb8pvgvAAyO+2RaWr2L1yudRUmSJD47hmYuBZbI1QAKb0K9+Hs9HFrK27az4pXSjZh8piMgouuj+ZYsmJrxT2egm99P3rg9B9Ihwa09voE12fuUGq22Sk6yHZeABI33I1J2eUh01ySRwMyu+6bZ0B0nhDPY/ZJ/OinmdfIoQCZnQqbAYFMrcUEaZPQ0OGZ5bLMZ+b/vtzZ/JnjgW222gHW+xxmP4sZNpJg+10wKWcBIqGemPbndIVsR4P1N8q5xUBw3Z0Ep13S+Xqbb4MZ2HmyP9232D1JNmHW+1xkJvOOJMGPr4TNtvEX8b936r7n87qMm+oKaaIDBmFGNZM4/9q08E55u224WWbh1NzeQUdlmGo7hG+Ju75Wix69DkhRysG1tRH+OL3/THjNBQVKx0gm02/sq4+Bj+el85rXjB4sw0bAvA8wO+2OyZqXMdvsSGIbvxDQz/MEx56KyXoImn0Pih6gsQdQcOqFHfZ4F384t5YggHbbL/+YsgVQv34EZ/08Emy5Hm6pyepsDWidDQhymeyyiW3JbUw0ZxH86g7cC0/ibrg8XS41r3Lgkbi3X8ccOqVDmJstJ+H+/BvM7l/FPX5/rG8OM2gIiTPzv0yYLI3BGEPw65mEx0VbjCfOuCxXtU7zZ0XpkD+ZAihFcNxp0d/JgIFpM6rPN7vtR7BXbMtzT+KGu3GrVmLi9yyXK/0Zl+XdDsIYE2ln2ebJlAkue5wpk3MZW5VXAxVASq/AffIh4VlTMhNffbG0yoa0a2vWA7jjwTbAv2GuuyEm+y0zRnDsqbgXnsSMGZ8jM9HxVh2cexV8uhSz0Rbpaw0anH6vjj/g8s4BFfC6asqc0zLGwISJ+cu7joKZXT6rBA0SMLvug7t/ZkYbpqkfLlugpQTQ+AmdIi6Y4SM7m6UyOteZ4IzL8m4xUZVN1QZHLypm6y+ko6fHtGHTr3/azJgyue5nca+/hNklv8Zqsl8Ycgggs/5GBc1kZs0cHowujwDqmAOq7zYjaoJTegXu+Scqr2yCSPNZfyOCI07sSA7OvSpdxMf7MkMLT66bocMJYl5Twc+nxzLTD3czfgIm2wtrk89jck4EezNKbJ4iSijQjyDAHFJkz8VYzK/AHh2ZiLLcsEt9iJvV1oTPb+9PYuPM7mNKy0uW8e5bYFrNrL9RRuSG4ISzMhbdBhf8iuDiabmqVoQZPITgit9gvn5EOjGfi3tKAxo8lOCw72D6989dLueFuufRbKb8CNZev7NJcmxkUjZfKqBF1wDVgJTeQYlrMILTLiG87IzMxCHDME1Nncw0JrbBmPmKxWywEWy6TXndirteFwkSaozBbLcz7dMuS08ux/M/vz3ukw/hpadTKQXbC/aYjNtpz5zFgh9dnA6iCZiNtyRxSRe3m+6YRyowzg6TUOFHT3DR9bi/zMA9+WhZXoAZ3nKkXxy6k+yXkGzzXwepsZYYbieDtsqdUOIE230Rtvtip3QzeGjkeVhnVAApDY97/T+4t14pXnDrHTETM6NVB7+6Iz0hWwAzYBBkPdzKpsQo1cH1MzPLdjyAY5Jk6PDMjdLykHMiHQqaESsl2GFXwpeezh91YYvt4P13ouMicy9m9bG41KR8veLrdZWUtleJKbBaG/z1MFQAKQ1P+PM8bs0pho8i+OkNOUOwlCJ8uo0SBVC28wJx+eM1veDwE/K/eXcDwQ8vopiGlY3ZdmcSWYtcO2THJlsRfPdMwtOPjs5LMsHl8DhrJFLzOuU6OkC0/QLAZlsTfOfM7utTD0MFkNLrCc66vPRAkYDZczLunTe6vyMV2/VzaEBV1gpMfE1SdzBwICaZTM+LJEq4HymzaoNqQMGxp+D+/XB5W2mn8LHazAablDd31GCoAFJ6P/lWzufRfgJbZPK+QkypscKyyVigWcPdTrsBY7L0lxLngKLK/ruHyh/zpf1wBTwtzYjRmH0Prqzt9T4Xuc2vs36l3WsIVAApDU04M5fbLlFsMr+raac1Il89FFYfi0l5bTUKxhAcfBRhyyrYdKt696Y0/JYVZoKPT9eexy04Fx0aY8+UQMFhx1W1fVPIbb6XoAJIaWjcvX/MmW5GrYbLsa02QPC1w6rZpe4n5eZrDGb1sSR+cF59+1MGZt2JBOf/ClJrVLIWZ5ZEg5rglOL0aAFkrf08cD0wAGgDjheRp621BrgK2BdYDhwlIs/7OkcCqVnpC0XkNp++DXArMJBox9STRUT/snsrXdyWujsJpl6Deye3MCyp/jGn4B65Jwpg2YBkLMpNxbgrwQRnxk+IdJ+11qtKv5T609MXol4GnCcinwd+4s8B9gEm+s8U4DoAa+0o4Fxge6Ltt8+11qYCbF0HfDtWb+8ajUGpIWafg6KDOuzumA8zbm2CL+5Vef1RzQQHHllVr7eaUcYckNlyu2gh6XY5to9QegU9/S/aAalVX8OBuf54MjBdRJyIPAmMsNaOAb4MPCAiC0VkEfAAsLfPGyYiT3qtZzqwP0rvY6QPzliHvU2UMihRQ63GQlKl59Bz7BS5+T5wn7X2ciJh6SM+Mg74IFZutk8rlD47R7rSwOTcaiEVZl4FUI8kOPVC3JOP9A5tTukydRdA1toHgTVzZJ0N7A78QETutNZa4CYgx4bp3dqfKURmPUSE5ubmitpJJpMV121Uaj1mt2olH8fOh33vbGhqYinQP5kkFWaxmn3S+1wmO+8WfRoMvc9VukZVWy8BEckrUKy104FULPg/AqlgVXOA+AYt433aHGDXrPRHffr4HOVz9WcakIpe6ObPn1/CKDrT3NxMpXUblVqN2b34JOGvLomiG8RY1tIKbZHms2pFemfIavZJ73PfQMdcHmPHji1eiJ4/BzQXSG0Qvxvwlj++GzjCWmustTsAS0RkHnAfsJe1dqR3PtgLuM/nLbXW7uA96I4A7qrpSJSNo5BOAAAgAElEQVRuI7zrd1GY+blZe6Mkk+nFpWqCU5QeT901oCJ8G7jKWpsEVuJNY0Ru1PsCs4jcsL8FICILrbUXAM/4cueLyEJ/fDxpN+y/+Y/SiPiIAuEvz89MTzSlvau6KZqwoijVo0cLIBH5J9Ap/r33ZDshT52bgZtzpD8LdH8IYKX25IuplkhAapvmPhJNWFEamR4tgBQlJ/liqiWTMGq1qMgmn4eRzZhJnfdCURSlZ6ACSGk88rnwJpKYkaMJfnYLDBtRnS2ZFUXpNlQAKb0HH1/MjBhd544oilIKPd0LTlE6k08DKmmTM0VRegoqgJTGI98cUI4dTxVF6bnoK6PSMLi3XsW98jx5N2XTOR9FaShUACkNQ3jZGdHBhpvmLlDpjqOKotQFNcEpjcfKFbnTNcClojQU+h+rNB7vv5M7PRWGR1GUhkAFkNIrMDvtjhk2ot7dUBSlDFQAKb0C89Vv1LsLiqKUiTohKA1P8OuZGvVAURoQ1YCUhkeFj6I0JiqAlIbEfP2IendBUZQuogJIaUyGDMPsMRn6qeebojQqOgekNCaJBMEhx8Ahx9S7J4qiVEhZAsha2x8YBSwSkZXV6ZKiZOL++2zn3U913kdRGp6SBJC1dnvgUmAnIrNdaK19AjhNRJ6sYv8UpbPwAQ08qii9gKICyFr7BeB+4HZgKjAPGAMcAjxgrd1LRJ6otAPW2oN9uxsDk/zW2am8M4FjgHbgJBG5z6fvDVwFJIAbReQSnz4BmAGMBp4DDheRFq+5TSfa3nsBcIiIvFdpn5X6o55vitL4lKIBXQicJSJXx9LeAB611r4KXATs1oU+vAx8Hfh1PNFauwlwKLApMBZ40Fq7oc++FtgTmA08Y629W0ReJdLSrhSRGdba64mE13X+e5GIbGCtPdSXO6QLfVbqTUL9ZxSl0Snlv3hb4OY8ebf4/IoRkddE5I0cWZOBGSKySkTeBWYBk/xnloi8IyItRBrPZGutIRKEd/j6twH7x9q6zR/fAezuyyuNxvBR0bdqQIrS8JSiATmgKU9ek8+vBuOA+PzSbJ8G8EFW+vZEZrfFItKWo/y4VB0RabPWLvHl52df1Fo7BZjiy9Lc3FxR55PJZMV1G5VyxxwuXcKqF55k4C5fLljuo9hx05jxtC5ZyLBhw+jfA35fvc99Ax1zla5RQpnHgFOAn+TIOwX4R7EGrLUPAmvmyDpbRO4qoQ81Q0SmAdP8qZs/v5OMKonm5mYqrduopMbsPl1CeM53CE65ALPOBnnLt//8HHj9PyxbYzymeY2SrtHqI14vXbwY0wN+3758n/sSOubyGDt2bEnlShFAZwL/tNZuDfyRtBPCwcCOwM7FGhCRPUrqTSZzgLVi5+N9GnnSFwAjrLVJrwXFy6famm2tTQLDfXmlCrhXX4Tln+Hum4mZ8qP8BRd+En23RUqrW7mC8OoLCA4/HrPm+Nx1Unv+hGE39lhRlHpQdA7IT+5vBywCLgHu8d+LiLzWXq1S3+4GDrXW9vfebROBp4FngInW2gnW2n5Ejgp3i4gDHgEO8vWPBO6KtXWkPz4IeNiXV6qB8z9tsR1KU+UCX+6VF+DNlwn/ND3KXrWK8JarMuuYILOuoigNS0nrgETkbeDwanTAWnsAcDWwGnCPtfZFEfmyiLxirRXgVaANOEFE2n2dE4H7iNywbxaRV3xzpwMzrLUXAi8AN/n0m4DbrbWzgIVEQkupGinhUKIA8kLFea0m5WLtnngI9++HMuukNCCnGpCiNDoVheKx1m4G7AW8LCL3d6UDIjITmJkn7yIiN+/s9HuBe3Okv0PkJZedvpLIZKjUghLlTyctJmyPvlNCprW1UxUTBDgiYaVujIrS2JSyEHUzokWoGxN5pZ0H3EnkFr2xtfZsEfllVXup9CjcJx9CWxtmTJ55mpIbyhZAXqtJCaCWVZ3r+LkhM3R4166tKErdKWUd0DVEcyhbAf8C/gR8TUQmEWlBJ1ave0o9CZ/+B+1Tv4fLEhThWVMIf3J8/orlzgF1NJwWQG7pYtyff9OpivnKIQQnT8VsvGWx7iuK0sMpRQBtCUwVkdeItJ+BIvJPAB+CJ5d7tdILcDdfCXP+B22dTWGlUZoAcnfehluxPNMEl/KQizNuHUwigdls6wr7oyhKT6IUAZRIeYz5yAPLq9slpefgBYifi3HOddKGclOqh5oXQM/9C3fXb3GP3BMlBwnCv/6hU+ng1AtLbFdRlEagFCeEJmvtt0i/zvaz1h5dZhtKDyJ85nHcU4+ROPGcwgVTJrTFCwgfvRc383ZYf6PiF8jjhOAWfoJ76C+YA4/CBEGmCW7lCvjg3ajc4539WhI33F38uoqiNBSlCI+ngPj+x8+Q6ZL9VLf2SKk6btrPom/nMIXmafz6nPDWX8K7b0Zpb7/eub2liyKh0xG2I7cECm+6Et58GbP1jpEgiy0mdZ98WMlQFEVpYIoKIBHZtVC+tVbDEjcqbW3QlC/MH+lFn0sXF2wmPNWv8Z357+g7ywnBtbVikk3Q2pK/kTdfLqXHiqL0IrpkPvP77CwnWhCqNBqrVkBTE+Hj9+Nefo7Ed8/MzE9pR21tnevmwbW1pRePGnBLFhH+8MiorZTTwTOPY9bfSKMZKEofpzvmb3Q9YKOyahUMATf9mo4k99pLMHFTTDKZ1oDK8IILT/kmrEj5qRj4dIlvOC1s3EN/IVxjnAogRenjdIf5TJ8iPRD3wbu4XK7McVatyKzz9uuEV/w4vf6miAbkXn0R196ePncuJnw8JvefmPvd9SULILOfLamcoiiNhXqw9TJcyyoI2wnPPxnI4z0WBJEDwKqVmemLF0ZtfDTXl/MCKEtQpQiv/AnmK+mwem3ZDgrGQHsB893yZZnFd9oD968HM7v6w4swn9s8fxuKojQspYTieZz8Wo46IPQwwrOOgyUL0+e3/wrzjW9HQue/z8EW20H/gbDiM9z/3sZM2LCjrEstBP1kHm7ZUlj2adHrub/O6Dhe+KNjMjONgZiGVJRBgzun6c6nitJrKUUDurFI/g3d0RGlctzs93AP3IU58sQM4QPg/vF3zGZb4z6Zh/vjLTBxE1hrXXjzFZj7fmZDKW1lzv8If/DN7ulcIQ0om379O6cF+o6jKL2VUgTQNiJyUurEWnuMiNwUO78TuK0anVNKI/z1ZfDhbMyXD8hdIJGAhX5nw7de7VhM6l57kfZzvpsulyP6dFdwj98PBXZE7UQix59jQjUgRemtlPJ6eVTW+c+yzvfsnq4oleCcgw9nRyd5BIh7982O+R0gPffz4Rz4aE46/eN53d+/px8rvXAubUdNcIrSaylFA8p2sy52rtSS+ER+a47tCwCXHVdtQW7vOPf3O7urV2nKmQOKaztrjIuEo2pAitJrKUUDynZAKHau1JIwHk9tZf5ycVZ8Vp2+5CLlUVeKKS6u7aRea4pt6aAoSsNSigaUtNZ+ifQjIfu8S6+o1tqDgalEG95NEpFnffqewCVAP6AF+JGIPOzztgFuBQYS7Yx6sog4a+0o4A/AusB7gBWRRdZaA1wF7EsUueEoEXm+K/2uF+61l3Cz3yPYc3KU0J42u7nsNTg9gWVLo+9kCX9qqu0oSp+iFA3oY+Bm4Cb/WZB1/nEX+/Ay8HXgH1np84GvisjmwJFEu7KmuA74NjDRf/b26WcAD4nIROAhfw6wT6zsFF+/IQmv+DEu7QOCe/LRdOasV2vfoVIpRbhkzPeo5qMovZ1SgpGuW80O+I3usNZmp78QO30FGOhjz40ChonIk77edGB/4G/AZGBXX+c24FHgdJ8+3e9r9KS1doS1doyIdP+se41xd6YdEN3Df61jT4qQy8NttTUhHgU7bm5T05ui9HoaZZHFgcDzIrIKGAfMjuXN9mkAa8SEyofAGv54HPBBnjoNSfvJ36iPyW3jLTH7HFh+vVwCaNy6WQmx+axSTHaKojQ0Nfkvt9Y+SO6tu88WkbuK1N0UuBTYq5xr+jmhsh0krLVTiMx0iAjNHXvclEcymay4biE+Sh0s/4zwpEMLFS2bxPh1aZ/9Xsf5oAOPYPmd0zPKDFxvQxKrrcEyyqNf//5kb8bQf8AA4n57Q4YMYfma42jaaAsGH3I0K+6/iyGbb1V4z6I6U6373JPRMfcNajHmmgggEdmjknrW2vHATOAIEXnbJ88BxseKjfdpAB+lTGvW2jGk56fmAGvlqZPd12nANH/q5s+fX0nXaW5uptK69aJ90JCM85W7fRViAig46Ses2mgL3GN/K73RLSfBS0/TkiOg6aqWTJG0bNkygguuoxVYDLCvZdWCBWWMoPY04n3uKjrmvkFXxjx27NiSyvVYE5y1dgRwD3CGiPwrle5NbEuttTt477YjgJQWdTeRwwL+O55+hLXWWGt3AJY00vyPC9szok5XjQEDM8+zzGZm820xTf3AFHYoMPum5/OCY08lOPVCzPCRnQu6sHOaoih9hroLIGvtAdba2cAXgHustff5rBOBDYCfWGtf9J/Vfd7xRDHqZgFvEzkgQOS2vae19i1gD38Okav2O778Db5+QxDe8HPC4w4g/E6eMDvdiFkty0qaLw5bosifzWprdByaAQMxG22R+3qbb1tO9xRF6WXUfaZXRGYSmdmy0y8ELsxT51lgsxzpC4Ddc6Q74IQud7YOxEPZdESrLkBw/FmEd/8eZr9b9rXMznviHvpL+jw+9zJ0eDp92MjM1cfJprI2rWOL7Uh878e4d9/SVcyK0oepuwBScuPmvt85hM777xSvuOY4GDwkf34ikRkeZ8BAElenrxNcdku0/0+WZEhcEVuGtenWna8Zc14oyObbEhxzSnScLVBVGilKn0IFUA8j/PuduL/MgDFrwf9mZWZmbyCXi0QCmpoK57e3w+pjouCjWcE+zcjRRS9h+mdtm5A9P5Vjp1Oz/zehtQXz/45P19c5IEXp09R9DkjJxN15G7TkCSr62N9zV9pmx/RxIgmfFXCS9g4EwffPw+x7MMGPLqqso/FdSoeNKFrcDB1OcPQPMoXXyNUqu7aiKL0CFUA9ldbsVTPgnnk8Z9Fg59iOGIkkZuMt87eb2mY7kSA44HDM+AkVdS/xw7TgCo47LSPPrL1+SW2Y0asRXHE7Zpe9ixdWFKXXoQKoh+DCEJeKHA05BVAugounYTbbJp2QSGK+dhhm253z1DAd5bqKmbRL9B1zUAh+OQOzTmkCqKNuD15oqihK9dA5oB6C+/uduJmxif48Zrg4wRmXdXadTiYxiQThZ5/mrpR61nfDRm/m2FMwx56SmTZwUPkNpdYIDRrc5T4pitI4qADqIbhZr2UmtBTRgMatg/Fba2eQijqdd3dTL4GCErWOkc2YLbfL3VJMczH7f5Oh66xHJTsNmb0PglGrYyb9XwW1FUVpVFQA9RSyF33m2d20g379c6d701pw3Gm4N1/GjFsHWlsJf3VxlL/+RvDfZ0veeydx2c0llQv2swxsbuYzH7rDHHIsZo3S4r2aZBKz424llVUUpfegAqinkC0QcsROyyDb1Xr06rDg4w5BZiZsiJmwYadqwZQfwbzZmAEVmMrKINjja1VtX1GUxkcFUB1xLz1NeN0lBMefCc8/UVZds+ZaGefBGZfBB+8WjRxtBgyECRPL7quiKEp3owKojoR3/w7a2wivvqB44WSyQysy3/4hZsNNM7LNiFEwYlT++oOHQj7HBEVRlDqgAqiulOF+3NQvLYC2+2LZe+QE518LSxeXVUdRFKWaqACqJ8XMZf/3Zeg/APfAXVHAz45q5a+bMcNGlBSxQFEUpVboQtQ64ZzrHOstm5Gj0wtGvQAy2+9S5Z4piqLUBhVAdcAt+JjwhIOLFxw4OO0dl3K7zhHoU1EUpRFRAVQH3LP/yhtqx+w5OX0yYBBm769jvrRvOl0FkKIovQQVQPWgwCLQwB6TUc4MGERw2HfSYWpC3cJAUZTeQd2dEKy1BwNTgY2BSX6303j+2sCrwFQRudyn7Q1cBSSAG0XkEp8+AZgBjAaeAw4XkRZrbX9gOrANsAA4RETeq/7oOuPa23F/uLFgGbP9LrinHssQNiYIcPi5I0VRlF5AT9CAXga+DvwjT/4VwN9SJ9baBHAtsA+wCfANa+0mPvtS4EoR2QBYBKTUiWOART79Sl+u5rhVqwi/c0DxgqmAnnFNKeX5ppu4KYrSS6i7ABKR10TkjVx51tr9gXeBV2LJk4BZIvKOiLQQaTyTrbUG2A24w5e7DdjfH0/25/j83X352tJSwo6mgDngcMzeB2K22SmW6G+VakCKovQS6i6A8mGtHQKcDpyXlTUO+CB2PtunjQYWi0hbVnpGHZ+/xJevLe1F4rt5zKAhBAceiUnGLKQpDUjngBRF6SXUZA7IWvsgsGaOrLNF5K481aYSmdOWWWur1rdsrLVTgCkAIkJzc3NF7SSTyU5128NW5hepl+96q0aMYDHQrynJyAr7VG1yjbm3o2PuG+iYq3SNqrbuEZE9Kqi2PXCQtfYyYAQQWmtXEjkXxCNxjgfmEDkXjLDWJr2Wk0rHf68FzLbWJoHhvnyuvk4DpvlTN39+MZGRm+bmZrLruvmf5CwbnHEZ4SXRttb5ruc+XQZAy6pVecvUm1xj7u3omPsGOubyGDt2bEnl6u4Flw8R+WLq2Fo7FVgmItd4ATLRe7zNAQ4FDhMRZ619BDiIaF7oSCClXd3tz5/w+Q+LSO0nUz7+MH2cSEB7e3S89nrF63aY4HQOSFGU3kHd54CstQdYa2cDXwDusdbeV6i8125OBO4DXouSJOWkcDpwirV2FtEcz00+/SZgtE8/BTij+0dSnPCqqdHB4KEEv7oznZFsylk+g0C94BRF6V3UXQMSkZnAzCJlpmad3wvcm6PcO0RectnpK4ESYt9UDxfbYC741smY2A6oxhjMDrtittkxfwPrToT+Awn2q918mKIoSjWpuwDqM7TEttj263uC86+F1tbo+JhTClY3g4aQuOYPVeueoihKrVEBVCvia4B8hGszZq08hRVFUXo/dZ8D6jNkaEAq9xVFUVQA1YpVnU1wiqIofRkVQLViVcwEl1QNSFEURQVQDXArlhNeeno6QU1wiqIoKoBqgXv8/swEoz+7oiiKPglrwdJFmecDBtSnH4qiKD0ItQXVgmWfdhwGl92CGVn7QNyKoig9DdWAakHY3nGowkdRFCVCBVAt0E3kFEVROqECqBZoBGtFUZROqACqBRrBWlEUpRMqgGqAa22pdxcURVF6HCqAakGLCiBFUZRsVADVgnggUkVRFAVQAVQbUia4jbesbz8URVF6ELoQtcq4T5fA/2bBlpMIjj+z3t1RFEXpMdRdAFlrDwamAhsDk0Tk2VjeFsCvgWFACGwnIiuttdsAtwIDibbmPllEnLV2FPAHYF3gPcCKyCJrrQGuAvYFlgNHicjztRhfeMPl0cHSxZhAt2FQFEVJ0RNMcC8DXwf+EU+01iaB3wDfEZFNgV2BVp99HfBtYKL/7O3TzwAeEpGJwEP+HGCfWNkpvn7Vce3t8NpL0YnuAaQoipJB3QWQiLwmIm/kyNoL+I+IvOTLLRCRdmvtGGCYiDwpIg6YDuzv60wGbvPHt2WlTxcRJyJPAiN8O9Xl47np46DuP7WiKEqPou4muAJsCDhr7X3AasAMEbkMGAfMjpWb7dMA1hCRef74Q2ANfzwO+CBHnXlUkw/npI81GoKiKEoGNRFA1toHgTVzZJ0tInflqZYEdga2I5q3echa+xywpJRr+jmhsp/61topRGY6RITm5uZymwAgmUwyZEA/lvrzpmSCURW21Sgkk8mKf69GRcfcN9AxV+kaVW3dIyJ7VFBtNvAPEZkPYK29F9iaaF5ofKzceCClanxkrR0jIvO8ie1jnz4HWCtPney+TgOm+VM3f/78CroOzc3NfLoovQ9Qa0sLlbbVKDQ3N/f6MWajY+4b6JjLY+zYsSWV68kmuPuA06y1g4AWYBfgSi9cllprdwCeAo4ArvZ17gaOBC7x33fF0k+01s4AtgeWxEx11aM9vQ0D/XUTOkVRlDh1nxm31h5grZ0NfAG4x8/5ICKLgCuAZ4AXgedF5B5f7XjgRmAW8DbwN59+CbCntfYtYA9/DpGr9ju+/A2+ftVxj0TdNbvuS3D092txSUVRlIbBON2rphBu7ty5xUvloLm5mY8O2BGA4Be/xQwe2p396pGomaJvoGPuG3SDCc4UK1d3Dai30vLGy+kTXQOkKIrSCRVAVWLRGVPSJ4mm+nVEURSlh6ICqBaoBqQoitIJFUA1wGgUBEVRlE7ok1FRFEWpCyqAFEVRlLqgAkhRFEWpCyqAFEVRlLqgAkhRFEWpCyqAqs3q1d92SFEUpRFRAVRlzLY717sLiqIoPRIVQFXGbDmp3l1QFEXpkfTk7RgammDkaNzm22LW+1y9u6IoitIjUQ2oSriWFmjqV+9uKIqi9FhUAFUJ17oKkhqEVFEUJR8qgKqAcw5UA1IURSmICqBq0NYWfTepBqQoipKPujshWGsPBqYCGwOTRORZn95EtO321kT9nC4iP/V5ewNXAQngRhG5xKdPAGYAo4HngMNFpMVa2x+YDmwDLAAOEZH3qjao1pboWzUgRVGUvPQEDehl4OvAP7LSDwb6i8jmRILjOGvtutbaBHAtsA+wCfANa+0mvs6lwJUisgGwCDjGpx8DLPLpV/py1aMtJYBUA1IURclH3QWQiLwmIm/kyHLAYGttEhgItABLgUnALBF5R0RaiDSeydZaA+wG3OHr3wbs748n+3N8/u6+fHVobY2+VQNSFEXJS90FUAHuAD4D5gHvA5eLyEJgHPBBrNxsnzYaWCwibVnpxOv4/CW+fHX4bBkApv+Aql1CURSl0anJHJC19kFgzRxZZ4vIXXmqTQLagbHASOBx305VsdZOAaYAiAjNzc1lt7HixSdYCozcYhuSFdRvVJLJZEW/VyOjY+4b6JirdI2qtu4RkT0qqHYY8HcRaQU+ttb+C9iWSJNZK1ZuPDCHyLlghLU26bWcVDr+ey1gtjfpDfflc/V1GjDNn7r58+eX3XGHof+kL7KoaQCmgvqNSnNzM5X8Xo2MjrlvoGMuj7Fjx5ZUrieb4N4nmtPBWjsY2AF4HXgGmGitnWCt7QccCtwtIg54BDjI1z8SSGlXd/tzfP7DvnxVMJ/fgRFnXoox1ZtmUhRFaXTqLoCstQdYa2cDXwDusdbe57OuBYZYa18hEjq3iMh/vHZzInAf8BogIvKKr3M6cIq1dhbRHM9NPv0mYLRPPwU4oxZjUxRFUfJjnKuaItAbcHPnzq2ooqrsfQMdc99Ax1we3gRX1ARUdw1IURRF6ZuoAFIURVHqggogRVEUpS6oAFIURVHqggogRVEUpS6oAFIURVHqgrphF0Z/HEVRlMpQN+wuYir9WGuf60r9RvzomPvGR8fcNz7dMOaiqABSFEVR6oIKIEVRFKUuqACqHtOKF+l16Jj7BjrmvkHVx6xOCIqiKEpdUA1IURRFqQs12ZCur2Gt3Ru4CkgAN4rIJXXuUrdgrV0LmA6sQeSiPk1ErrLWjgL+AKwLvAdYEVlkrTVEv8O+wHLgKBF5vh597wrW2gTwLDBHRL5irZ0AzCDa8uM54HARabHW9if6fbYh2vDwEBF5r07drhhr7QjgRmAzovt8NPAGvfse/wA4lmi8/wW+BYyhl91na+3NwFeAj0VkM59W9v+vtfZI4Bzf7IUiclsl/VENqJvxD6trgX2ATYBvWGs3qW+vuo024FQR2YRog8AT/NjOAB4SkYnAQ6T3W9oHmOg/U4Drat/lbuFkor2nUlwKXCkiGwCLgGN8+jHAIp9+pS/XiFxFtBvxRsCWRGPvtffYWjsOOAnY1j+UE0QbXfbG+3wrsHdWWln31gusc4HtgUnAudbakZV0RgVQ9zMJmCUi74hIC9Eb1OQ696lbEJF5qTcgEfmU6ME0jmh8qTeg24D9/fFkYLqIOBF5kmjL9DE17naXsNaOB/Yj0gjwb4W7AXf4ItnjTf0OdwC7+/INg7V2OPB/+M0cRaRFRBbTi++xJwkMtNYmgUHAPHrhfRaRfwALs5LLvbdfBh4QkYUisgh4gM5CrSRUAHU/44APYuezfVqvwlq7LrAV8BSwhojM81kfEpnooHf8Fr8ATgNCfz4aWOx35oXMMXWM1+cv8eUbiQnAJ8At1toXrLU3WmsH04vvsYjMAS4H3icSPEuITG69+T7HKffedts9VwGklI21dghwJ/B9EVkazxMRRy8JYWStTdnKn6t3X2pIEtgauE5EtgI+I2sL+950jwG8+WgykfAdCwymwjf6RqfW91YFUPczB1grdj7ep/UKrLVNRMLntyLyJ5/8Ucrs4r8/9umN/lvsBHzNWvsekSl1N6L5kRHeVAOZY+oYr88fTjRJ3UjMBmaLyFP+/A4igdRb7zHAHsC7IvKJiLQCfyK69735Pscp99522z1XAdT9PANMtNZOsNb2I5rMvLvOfeoWvJ37JuA1EbkilnU3cKQ/PhK4K5Z+hLXWWGt3AJbEVP0ej4icKSLjRWRdovv4sIj8P+AR4CBfLHu8qd/hIF++oTQFEfkQ+MBa+zmftDvwKr30HnveB3aw1g7yf+OpMffa+5xFuff2PmAva+1Irz3u5dPKRt2wuxkRabPWnkh0QxLAzSLySp271V3sBBwO/Nda+6JPOwu4BBBr7THA/wDr8+4lcuGcReTG+a3adrdqnA7MsNZeCLyAn7D337dba2cRTfQeWqf+dZXvAb/1L1DvEN23gF56j0XkKWvtHcDzRJ6eLxBFAbiHXnafrbW/B3YFmq21s4m82cr6/xWRhdbaC4hetgHOF5Fsx4aS0EgIiqIoSl1QE5yiKIpSF1QAKYqiKHVBBZCiKIpSF1QAKYqiKHVBBZCiKIpSF9QNW1GqgLX2FeAEEXm0DtrsZVQAAAKnSURBVNdem2gdy3ARaa/19RWlVNQNW1GqiLV2KrCBiHyzitd4DzhWRB6s1jUUpRqoCU5RejCxUDCK0utQDUhRqoDXSk4kiitmgFXA2yKypd/y4AqiVeYhcAtwroi0W2uPAr4NPA0cQbQHyy3ADUR78ziiKBsniMhia+3twP/z7bcD5wMCvAs0+cgcY4HrgZ2JVu5fKiI3+H5OJdq3aiVwAFFYmiNF5Nmq/TiK4lENSFGqx0rgYuAPIjJERLb06bcShXzZgGhLi72IduNMsT1RCJw1gIuIBNhPiSI1b0wUCHIqgIgcTiQ0vuqvcVmOfswgCjI6lih22cXW2t1i+V/zZUYQxf+6piuDVpRSUfVeUWqItXYNIs1nhIisAD6z1l5JtOPkr32xuSJytT9uI4rFNcuff2KtvYIohlcp11uLKIbffiKyEnjRWnsjkXb1sC/2TxG515e/Hfh+V8aoKKWiAkhRass6QBMwz9pUzEcCMjf4ih+nhNZVwBeBob78ohKvNxZY6HewTfE/YNvY+Yex4+XAAGttMrYZm6JUBRVAilJdsidZPyCar2ku8IDPrnOxT9vcRyLen0wzWaGJ3LnAKGvt0JgQWpvG27NH6YXoHJCiVJePgHWttQGA30/lfuDn1tph1trAWru+tXaXAm0MBZYBS6y144Af5bjGerkqisgHwL+Bn1prB1hrtwCOAX7TpVEpSjegAkhRqssf/fcCa+3z/vgIoB/RYtFFRLuOjinQxnlEu5IuIdqj5k9Z+T8FzrHWLrbW/jBH/W8A6xJpQzOJPO50zZBSd9QNW1EURakLqgEpiqIodUEFkKIoilIXVAApiqIodUEFkKIoilIXVAApiqIodUEFkKIoilIXVAApiqIodUEFkKIoilIXVAApiqIodeH/A1z66NhVnciCAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb3a9c89128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(-np.array(logger.logf))\n",
"plt.xlabel('iteration')\n",
"plt.ylabel('ELBO')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-19T10:03:32.395101Z",
"start_time": "2018-06-19T10:03:32.240215Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Predictions after training')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb3a9ca9160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot()\n",
"plt.title(\"Predictions after training\")"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}

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