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@junpenglao
Last active April 1, 2018 19:19
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Laplace approximation in PyMC3
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" from ._conv import register_converters as _register_converters\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import pandas as pd\n",
"import numpy as np\n",
"import pymc3 as pm\n",
"import theano.tensor as tt\n",
"import scipy.stats as st\n",
"from scipy import optimize\n",
"import matplotlib.pylab as plt\n",
"\n",
"import theano.tensor as tt\n",
"import theano\n",
"\n",
"plt.style.use('seaborn-darkgrid')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Laplace approximation in PyMC3\n",
"\n",
"Here first try to port a [similar Stan example](http://discourse.mc-stan.org/t/algebraic-sovler-problems-laplace-approximation-in-stan/2172)\n",
"- TL;dr summary\n",
" - http://discourse.mc-stan.org/t/algebraic-sovler-problems-laplace-approximation-in-stan/2172/37 \n",
" \n",
"There are also some previous efforts\n",
"- Laplace approximation in PyMC3\n",
" - https://healthyalgorithms.com/2015/06/22/laplace-approximation-in-python-another-cool-trick-with-pymc3/\n",
" - https://healthyalgorithms.com/2015/07/10/laplace-approximation-in-pymc3-revisited/\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup data and fit with NUTS\n",
"Make sure there is no funny business here"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"N, M, sigma = 100, 10, 2.\n",
"index = np.random.randint(0, M, size=N)\n",
"X = np.random.normal(0, sigma, size=M)\n",
"Y = np.random.poisson(np.exp(X[index]))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.80370373, -0.28367733, 1.9687076 , 2.0737893 , -0.24263089,\n",
" 0.51836314, 1.79320656, 0.86326711, -0.04869471, -2.57610546])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [g_mu, sd_log__]\n",
"100%|██████████| 2000/2000 [00:07<00:00, 259.20it/s]\n"
]
}
],
"source": [
"with pm.Model() as m:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" group_mu = pm.Normal('g_mu', 0., sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index]), observed=Y)\n",
" trace = pm.sample(1000, tune=1000)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f6176a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, lines={'sd': sigma, 'g_mu': X});"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>g_mu__0</th>\n",
" <td>0.14</td>\n",
" <td>0.30</td>\n",
" <td>0.01</td>\n",
" <td>-0.44</td>\n",
" <td>0.73</td>\n",
" <td>2685.48</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__1</th>\n",
" <td>-0.42</td>\n",
" <td>0.45</td>\n",
" <td>0.01</td>\n",
" <td>-1.33</td>\n",
" <td>0.43</td>\n",
" <td>2089.84</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__2</th>\n",
" <td>1.89</td>\n",
" <td>0.12</td>\n",
" <td>0.00</td>\n",
" <td>1.66</td>\n",
" <td>2.12</td>\n",
" <td>2594.61</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__3</th>\n",
" <td>2.02</td>\n",
" <td>0.10</td>\n",
" <td>0.00</td>\n",
" <td>1.83</td>\n",
" <td>2.20</td>\n",
" <td>2561.15</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__4</th>\n",
" <td>-0.03</td>\n",
" <td>0.29</td>\n",
" <td>0.01</td>\n",
" <td>-0.58</td>\n",
" <td>0.49</td>\n",
" <td>2469.54</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__5</th>\n",
" <td>0.18</td>\n",
" <td>0.30</td>\n",
" <td>0.01</td>\n",
" <td>-0.40</td>\n",
" <td>0.77</td>\n",
" <td>2566.08</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__6</th>\n",
" <td>1.62</td>\n",
" <td>0.15</td>\n",
" <td>0.00</td>\n",
" <td>1.33</td>\n",
" <td>1.93</td>\n",
" <td>2664.65</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__7</th>\n",
" <td>0.69</td>\n",
" <td>0.21</td>\n",
" <td>0.00</td>\n",
" <td>0.30</td>\n",
" <td>1.12</td>\n",
" <td>2847.21</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__8</th>\n",
" <td>-0.52</td>\n",
" <td>0.38</td>\n",
" <td>0.01</td>\n",
" <td>-1.24</td>\n",
" <td>0.26</td>\n",
" <td>2582.67</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__9</th>\n",
" <td>-1.87</td>\n",
" <td>0.68</td>\n",
" <td>0.02</td>\n",
" <td>-3.26</td>\n",
" <td>-0.69</td>\n",
" <td>1355.65</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sd</th>\n",
" <td>1.28</td>\n",
" <td>0.28</td>\n",
" <td>0.01</td>\n",
" <td>0.82</td>\n",
" <td>1.86</td>\n",
" <td>2263.58</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"g_mu__0 0.14 0.30 0.01 -0.44 0.73 2685.48 1.0\n",
"g_mu__1 -0.42 0.45 0.01 -1.33 0.43 2089.84 1.0\n",
"g_mu__2 1.89 0.12 0.00 1.66 2.12 2594.61 1.0\n",
"g_mu__3 2.02 0.10 0.00 1.83 2.20 2561.15 1.0\n",
"g_mu__4 -0.03 0.29 0.01 -0.58 0.49 2469.54 1.0\n",
"g_mu__5 0.18 0.30 0.01 -0.40 0.77 2566.08 1.0\n",
"g_mu__6 1.62 0.15 0.00 1.33 1.93 2664.65 1.0\n",
"g_mu__7 0.69 0.21 0.00 0.30 1.12 2847.21 1.0\n",
"g_mu__8 -0.52 0.38 0.01 -1.24 0.26 2582.67 1.0\n",
"g_mu__9 -1.87 0.68 0.02 -3.26 -0.69 1355.65 1.0\n",
"sd 1.28 0.28 0.01 0.82 1.86 2263.58 1.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.summary(trace).round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Direct port of Stan model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Data and transformed data:\n",
"\n",
"```stan\n",
"data {\n",
" int N;\n",
" int M;\n",
" int y[N];\n",
" int<lower=1, upper=M> index[N];\n",
"}\n",
"```\n",
"\n",
"```stan\n",
"transformed data {\n",
" vector[M] xzero = rep_vector(0.0, M);\n",
" real number_of_samples[M];\n",
" int sums[M];\n",
" for (j in 1:M) {\n",
" sums[j] = 0;\n",
" number_of_samples[j]=0.0;\n",
" }\n",
" for (i in 1:N) {\n",
" sums[index[i]] += y[i];\n",
" number_of_samples[index[i]] +=1.0;\n",
"\n",
" }\n",
"\n",
" // xzero = log((to_vector(sums) + 0.1) ./ to_vector(number_of_samples));\n",
"{ // Beware of empty categories!!!!!!\n",
" int tmp = M;\n",
" real summm=0.0;\n",
" for (i in 1:M) {\n",
" if(number_of_samples[i]==0){\n",
" tmp = tmp-1;\n",
" } else {\n",
" summm = summm + sums[i]/number_of_samples[i];\n",
" }\n",
" }\n",
" xzero = rep_vector(summm/tmp,M);\n",
" }\n",
"}\n",
"\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# transformed data block\n",
"sums = np.zeros(M)\n",
"number_of_samples = np.zeros(M)\n",
"for i in range(N):\n",
" sums[index[i]] += Y[i]\n",
" number_of_samples[index[i]] += 1\n",
"\n",
"# xzero = np.log((sums + 0.1) / number_of_samples)\n",
"tmp = M\n",
"summm=0.0\n",
"for i in range(M):\n",
" if number_of_samples[i]==0:\n",
" tmp = tmp-1\n",
" else:\n",
" summm = summm + sums[i]/number_of_samples[i]\n",
"\n",
"xzero = np.repeat(summm/tmp, M)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```stan\n",
"functions {\n",
" vector conditional_grad(vector x, vector sigma, real[] number_of_samples, int[] sums) {\n",
" vector[dims(x)[1]] result;\n",
" result = (to_vector(sums)-to_vector(number_of_samples).*exp(x)) - x/sigma[1]^2;\n",
" return result;\n",
" }\n",
" vector conditional_neg_hessian(vector x, real sigma, real[] number_of_samples) {\n",
" vector[dims(x)[1]] result;\n",
" result = to_vector(number_of_samples).*exp(x) + 1/sigma^2;\n",
" return result;\n",
" }\n",
"}\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# functions block\n",
"def conditional_grad(x, sigma, number_of_samples, sums):\n",
" return (sums - number_of_samples * tt.exp(x)) - x / sigma**2\n",
"\n",
"\n",
"def conditional_neg_hessian(x, sigma, number_of_samples):\n",
" return number_of_samples * tt.exp(x) + 1 / sigma**2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implement algebra_solver\n",
"\n",
"```stan\n",
"transformed parameters {\n",
" vector[1] sigma_tmp;\n",
" vector[M] conditional_mode;\n",
" sigma_tmp[1] = sigma;\n",
" conditional_mode = algebra_solver(conditional_grad, xzero, sigma_tmp, number_of_samples, sums );\n",
"}\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# rewrite functions\n",
"# conditional_grad\n",
"def func(x, sigma):\n",
" return sums - number_of_samples * np.exp(x) - x / sigma**2\n",
"\n",
"\n",
"# conditional_hessian\n",
"def jac(x, sigma):\n",
" return np.diag(-number_of_samples * np.exp(x) - 1 / sigma**2)\n",
"\n",
"\n",
"def x_star_theta(theta):\n",
" sol = optimize.root(func, np.zeros(M), jac=jac, method='hybr', args=theta)\n",
" return sol.x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Validate solver"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'g_mu': array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]),\n",
" 'sd_log__': array(-0.22579135)}"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"point = m.test_point\n",
"point"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"444 µs ± 128 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"x_star = x_star_theta(np.exp(point['sd_log__']))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"817 ms ± 21.9 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"point1 = pm.find_MAP(start=point, model=m, vars=[group_mu], progressbar=None)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAATwAAAEqCAYAAACIiuyAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAE7dJREFUeJzt3VuMnGd9x/GvdyfsYnbibdTt0gvE9iL8ZbUCoVAIwoaoAlIjEIcKqY0KKCUQsCpockFLOLQXNLScA2VBobEEqVARh5QkrYNboJLtEAXoKancf2Mk94LWi0Gss4vxBsfbi5lNJptd2zPvHF7v8/1czbzP7Dw/vRr//J5m3m2rq6tIUgnGRh1AkobFwpNUDAtPUjEsPEnFsPAkFcPCk1SMxqgmPnFiaRVgamqC5eWVUcXYUB0zgbm6VcdcdcwEWyvXzExz22ZjI9/CazTGRx3hSeqYCczVrTrmqmMmKCfXyAtPkobFwpNUDAtPUjEsPEnFsPAkFcPCk1QMC09SMUZ24bEkncv+Iwt89vD/8H8nTzPbnGDv7jn27Jyt9J49FV5EXALsA+aACeADmXlnx/irgPcDZ4B9mfm5SiklFWX/kQVuPvAQp8+cBeD40go3H3gIoFLp9bpL+/vATzJzN/DbwF+tDbTL8OPAy4GXAG+NiGq1LKko8wePPVZ2a06fOcv8wWOV3rfXwvsy8L724220tuTW7ASOZuZPM/MR4BDw4t4jSirNwtLG35/dbPmF6mmXNjOXASKiCXwFeG/H8KXAyY7nS8CO9e8xNTVBozHO+PgY09Pbe4kxMHXMBObqVh1z1TET1C/Xr+6Y5H9Pnt5weZWcPZ+0iIhnAHcA85n5xY6hh4Fmx/MmsLj+79d+AWF6ejuLi6d6jTEQdcwE5upWHXPVMRPUL9fbXvTMJxzDA5hsjPG2Fz3zvDlnZpqbjvV60mIWOAD8YWZ+c93wEeDyiLgMWKa1O/uRXuaRVKa1ExO1OEsL3AT8EvC+iFg7lvc54GmZeWtE3Ah8g9Yxwn2Z+cNKKSUVZ8/OWX7vhb/W1y3PXo/hvRN45znG7wLu6jWUJA2C37SQVAy/aSFpqPYfWWD+4DEWllb6dmzuQll4koZmUN+guFDu0koamkF9g+JCWXiShmZQ36C4UBaepKGZbU50tbzfLDxJQ7N39xyTjSfWzmRjjL2754YyvyctJA3N2okJz9JKKsKenbNDK7j13KWVVAwLT1IxLDxJxbDwJBXDwpNUDAtPUjEsPEnFsPAkFcPCk1QMC09SMSw8ScWw8CQVwx8PkLShUd57YlAsPElPMup7TwyKu7SSnmTU954YFAtP0pOM+t4Tg2LhSXqSUd97YlAsPElPMup7TwyKJy0kPcmo7z0xKBaepA2N8t4Tg1Kp8CLiBcBfZuZV65bfAFwHnGgvuj4zs8pcklRVz4UXEe8C3gD8bIPhK4A3Zub3e31/Seq3KictfgC8bpOxK4B3R8ShiHh3hTkkqW+2ra6u9vzHETEH/G1mXrlu+Z8CnwYeBu4APpOZd3e+5uc/f2S10RhnfHyMRx994gWOo1bHTGCubtUxVx0zwdbKdckl49s2G+v7SYuI2AZ8IjNPtp//PfBc4AmFt7zcuoBxeno7i4un+h2jkjpmAnN1q4656pgJtlaumZnmpmODOEt7KfBgROykdXzvt4B9A5hHkrrSt8KLiGuAqcy8NSJuAr4NrADfzMx/6Nc8ktSrSoWXmceAK9uPv9ix/Hbg9krJJKnP/GqZpGJYeJKKYeFJKoaFJ6kYFp6kYlh4koph4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGBaepGJYeJKKYeFJKoaFJ6kYFp6kYlh4koph4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGBaepGJYeJKKYeFJKoaFJ6kYFp6kYlQqvIh4QUT88wbLXxUR342I70TEW6rMIUn90nPhRcS7gL8GJtctvwT4OPBy4CXAWyNitkpISeqHRoW//QHwOuD2dct3Akcz86cAEXEIeDHw5c4XTU1N0GiMMz4+xvT09gox+q+OmcBc3apjrjpmgnJy9Vx4mfnViJjbYOhS4GTH8yVgx/oXLS+vADA9vZ3FxVO9xhiIOmYCc3WrjrnqmAm2Vq6ZmeamY4M4afEw0DljE1gcwDyS1JUqu7SbOQJcHhGXAcu0dmc/MoB5JKkrfSu8iLgGmMrMWyPiRuAbtLYg92XmD/s1jyT1qlLhZeYx4Mr24y92LL8LuKtSMknqMy88llQMC09SMSw8ScWw8CQVw8KTVAwLT1IxLDxJxbDwJBXDwpNUDAtPUjEsPEnFsPAkFcPCk1QMC09SMQbxA6DSRWn/kQXmDx5jYWmF2eYEe3fPsWen95/aSiw8iVbZ3XzgIU6fOQvA8aUVbj7wEIClt4W4SysB8wePPVZ2a06fOcv8wWOjCaSBsPAkYGFppavlujhZeBIw25zoarkuThaeBOzdPcdk44n/HCYbY+zdPTeaQBoIT1pIPH5iwrO0W5uFJ7Xt2TlrwW1x7tJKKoaFJ6kYFp6kYlh4koph4UkqhoUnqRg9X5YSEWPAPPAcYAW4LjOPdozfAuwCltqLXp2ZJytklaRKqlyH9xpgMjNfGBFXAh8FXt0xfgVwdWb+uEpASeqXKru0u4B7ADLzPuB5awPtrb/LgVsj4nBE/EGllJLUB1W28C4FOndRH42IRmaeAZ4GfAr4GDAOfDsivpeZ/7H24qmpCRqNccbHx5ie3l4hRv/VMROYq1t1zFXHTFBOriqF9zDQ7Hg+1i47gFPALZl5CiAivkXrWN9jhbe83PrZnenp7SwunqoQo//qmAnM1a065qpjJthauWZmmpuOVdmlPQy8AqB9DO+BjrFnAYcjYjwiLqG1+/svFeaSpMqqbOHdAbwsIu4FtgHXRsSNwNHMvDMibgfuA34BfCEz/7N6XEnqXc+Fl5lngbetW/xfHeMfBj7c6/tLUr954bGkYlh4koph4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGBaepGJYeJKKYeFJKoaFJ6kYFp6kYlh4koph4UkqRpUfAJV6sv/IAvMHj7GwtMJsc4K9u+fYs3N21LFUAAtPQ/UX//TffPXfjz/2/PjSCjcfeAjA0tPAuUurodl/ZOEJZbfm9JmzzB88NvxAKo6Fp6E5V6ktLK0ML4iKZeFpaM5VarPNiSEmUaksPA3NuUpt7+654QVRsSw8Dc3e3XNMNp78kfud5zzdExYaCs/SamjWSs1LUjQqFp6Gas/OWQtOI+MuraRiWHiSimHhSSqGhSepGBaepGL0fJY2IsaAeeA5wApwXWYe7Rh/C3A9cAb4QGbeXTGrasZfPdHFpsoW3muAycx8IfAnwEfXBiLi6cA7gBcBVwMfjAi/O7SF7D+ywM0HHuL40gqrPP6rJ/uPLIw6mrSpKoW3C7gHIDPvA57XMfZ84HBmrmTmSeAo8OwKc6lm5g8e4/SZs09Y5q+eqO6qXHh8KXCy4/mjEdHIzDMbjC0BOzr/eGpqgkZjnPHxMaant1eI0X91zAT1yrXZDwEsLK3UJmOd1teaOmaCcnJVKbyHgWbH87F22W001gQWO/94ebn1D2Z6ejuLi6cqxOi/OmaCeuWabU5wfIPSm21O1CZjndbXmjpmgq2Va2amuelYlV3aw8ArACLiSuCBjrH7gd0RMRkRO4CdwIMV5lLNbPRDAJONMX/1RLVWZQvvDuBlEXEvsA24NiJuBI5m5p0R8UngIK1SfU9mnq4eV3XhDwHoYrRtdXV1JBOfOLG0CvXclK5jJjBXt+qYq46ZYGvlmplpbttszAuPJRXDwpNUDAtPUjEsPEnFsPAkFcPCk1QMC09SMSw8ScWw8CQVw8KTVAwLT1IxLDxJxbDwJBXDwpNUjCq/h6eLhHcXk1osvC1u7e5iazfcWbu7GGDpqTju0m5x3l1MepyFt8Wd6+5iUmksvC1utrnx/c83Wy5tZRbeFufdxaTHedJii/PuYtLjLLwC7Nk5a8FJWHgXPa+xky6chXcR8xo7qTuetLiIeY2d1B0L7yLmNXZSdyy8i5jX2EndsfAuYl5jJ3XHkxYXMa+xk7rTU+FFxFOBvwF+BVgC3pSZJ9a95uvALwO/AH6emXsqZtUGvMZOunC97tK+HXggM3cDXwDeu8FrLgd2ZeZVlp2kOui18HYB97Qf7wde2jkYEbPANHBXRByKiFf2HlGS+uO8u7QR8WbghnWLF4CT7cdLwI51408BPgrcAlwGHI6I+zPzR2svmJqaoNEYZ3x8jOnp7b3mH4g6ZgJzdauOueqYCcrJdd7Cy8zbgNs6l0XE14Bm+2kTWFz3Z8eBz2bmGeBHEfGvQACPFd7ycutasenp7Swunuo1/0DUMROYq1t1zFXHTLC1cs3MNDcd63WX9jDwivbjPcDBdeMvBb4MEBFTwG8AR3qcS5L6otfLUj4DfD4iDgGPANcARMSHgK9k5v6IuDoi7gPOAjdl5o/7kliSetRT4WXmKeD1Gyx/V8fjP6qQS5L6zm9aSCqGhSepGBaepGJYeJKKYeFJKoaFJ6kYFp6kYlh4koph4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGBaepGJYeJKKYeFJKoaFJ6kYFp6kYlh4koph4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGBaepGJYeJKKYeFJKkajyh9HxGuB12fmNRuMvQW4HjgDfCAz764ylyRV1fMWXkTcAnxwo/eIiKcD7wBeBFwNfDAiJnqdS5L6ocoW3r3A39Hailvv+cDhzFwBViLiKPBs4LtrL5iamqDRGGd8fIzp6e0VYvRfHTOBubpVx1x1zATl5Dpv4UXEm4Eb1i2+NjO/FBFXbfJnlwInO54vATs6X7C8vALA9PR2FhdPXWjeoahjJjBXt+qYq46ZYGvlmplpbjp23sLLzNuA27qaER4GOmdtAotdvock9VWlkxbncD/w5xExCUwAO4EHBzSXJF2QvhZeRNwIHM3MOyPik8BBWic13pOZp/s5lyR1a9vq6upIJj5xYmkV6nnsoI6ZwFzdqmOuOmaCrZVrZqa5bbMxLzyWVAwLT1IxLDxJxbDwJBXDwpNUDAtPUjEsPEnFsPAkFcPCk1QMC09SMSw8ScWw8CQVw8KTVAwLT1IxLDxJxbDwJBXDwpNUjEHd06Kv9h9ZYP7gMRaWVphtTrB39xx7ds6OOpaki0ztC2//kQVuPvAQp8+cBeD40go3H3gIwNKT1JXa79LOHzz2WNmtOX3mLPMHj40mkKSLVu0Lb2FppavlkrSZ2hfebHOiq+WStJnaF97e3XNMNp4Yc7Ixxt7dc6MJJOmiVfuTFmsnJjxLK6mq2hcetErPgpNUVe13aSWpXyw8ScWw8CQVo9IxvIh4LfD6zLxmg7FbgF3AUnvRqzPzZJX5JKmKnguvXWhXA/+2yUuuAK7OzB/3Oock9VOVXdp7gbdvNBARY8DlwK0RcTgi/qDCPJLUF+fdwouINwM3rFt8bWZ+KSKu2uTPngZ8CvgYMA58OyK+l5n/sfaCqakJGo1xxsfHmJ7e3lv6AaljJjBXt+qYq46ZoJxc5y28zLwNuK3L9z0F3JKZpwAi4lvAc4DHCu+pT33KtrXHY2PjXb794NUxE5irW3XMVcdMUEauQV14/CzgSxHxXFq7zbuAzw9oLkm6IH0tvIi4ETiamXdGxO3AfcAvgC9k5n/2cy5J6ta21dXVUWeQpKHwwmNJxRjJjwfU9YLl8+R6C3A9cAb4QGbePYQ8TwX+BvgVWuvjTZl5Yt1rvg78Mq1DBz/PzD0DyjIGzNM6+bQCXJeZRzvGh75+LjDXKD9PLwD+MjOvWrf8VcD7aa2rfZn5uWHkuYBcNwDXAWufseszM4eQ5xJgHzAHTND6/NzZMd639TX0wqvrBcvnyhURTwfeATwPmAQORcQ/Zuagf3b57cADmflnEfG7wHuBd657zeXAr2fmoI9NvAaYzMwXRsSVwEeBV8NI1885c7WN6vP0LuANwM/WLb8E+Djwm+2xwxFxZ2YujDJX2xXAGzPz+8PI0uH3gZ9k5hsi4jJa/wbvhP6vr1Hs0tb1guVNcwHPBw5n5kp76+Ao8OwhZNoF3NN+vB94aedgRMwC08BdEXEoIl45jCyZeR+tclszqvVzzlwj/jz9AHjdBst30jqx99PMfAQ4BLy4BrmgVXjvbn+W3j3ETF8G3td+vI3Wltyavq6vgW3hDeqC5RHluhTo3A1aAnb0K9M5ci10zLvRnE+htUVzC3AZrf/97s/MH/UzW9v6dfBoRDQy88wGY31fPz3mGvjnaTOZ+dWImLuAvMNcV+fKBfC3wKeBh4E7IuKVwzg0kZnLABHRBL5Ca09mTV/X18AKb1AXLI8o18NAs+N5E1jsVybYOFdEfK1j3o3mPA58tv2P+0cR8a9AAIMovPXrYKw970ZjfV8/PeYa+OepB6NcV5uKiG3AJ9aOb0bE3wPPBYZ1LPYZwB3AfGZ+sWOor+urbmdpn0VrK2W8ve++C/iXEWcCuB/YHRGTEbGD1mb2g0OY9zDwivbjPcDBdeMvpbU7QERMAb8BHBl0lvaxsgc6xka1fs6Xq46fpyPA5RFxWUQ8hdbu2XdGnAlaW1IPRsRUu/x+CxjKsbz2oZkDwB9n5r51w31dX7X4ife6XrC8LtcnaRXOGPCezDw9hAifAT4fEYeAR4Br2rk+BHwlM/dHxNURcR9wFrhpgAfn7wBeFhH30jrOcm0N1s+F5KrF5ykirgGmMvPWdr5v0FpX+zLzh6PItEGum4Bv0zrb/c3M/IchxbgJ+CXgfRGxdizvc8DT+r2+vPBYUjHqtksrSQNj4UkqhoUnqRgWnqRiWHiSimHhSSqGhSepGP8PYk8N0FoTrEMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12222dcf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_star = x_star_theta(np.exp(point['sd_log__']))\n",
"point1 = pm.find_MAP(start=point, model=m, vars=[group_mu], progressbar=None)\n",
"x_star2 = point1['g_mu']\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.plot(x_star, x_star2, 'o');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Wrap it in theano\n",
"ref https://docs.pymc.io/advanced_theano.html"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"import theano.tests.unittest_tools\n",
"\n",
"\n",
"class XstarTheta(tt.Op):\n",
" itypes = [tt.dscalar]\n",
" otypes = [tt.dvector]\n",
"\n",
" def perform(self, node, inputs, outputs):\n",
" theta, = inputs\n",
" x = x_star_theta(theta)\n",
" outputs[0][0] = np.array(x)\n",
"\n",
" def grad(self, inputs, g):\n",
" theta, = inputs\n",
" x = self(theta)\n",
" grad_tmp = 2 * x / (number_of_samples * theta**3 * tt.exp(x) + theta)\n",
" return [tt.sum(g[0] * grad_tmp)]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"theano.config.compute_test_value = 'off'\n",
"theano.tests.unittest_tools.verify_grad(XstarTheta(), [np.array(0.2)])\n",
"theano.tests.unittest_tools.verify_grad(XstarTheta(), [np.array(1e-5)])\n",
"theano.tests.unittest_tools.verify_grad(XstarTheta(), [np.array(1e5)])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Put it all togther"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```stan\n",
"parameters {\n",
" //vector[M] group_mean;\n",
" real<lower=0> sigma;\n",
"}\n",
"model {\n",
" vector[M] laplace_precisions;\n",
" sigma ~ normal(0,2);\n",
" laplace_precisions = conditional_neg_hessian(conditional_mode, sigma,number_of_samples);\n",
" // p(y | x^*) p(x^* |sigma )/p(x^* | sigma, y)\n",
" for (i in 1:N) {\n",
" target += poisson_log_lpmf(y[i] | conditional_mode[index[i]]);\n",
" }\n",
" target += -0.5*dot_self(conditional_mode)/sigma^2 -M*log(sigma) - 0.5*sum(log(laplace_precisions));\n",
"}\n",
"generated quantities {\n",
" vector[M] x;\n",
" {\n",
" vector[M] laplace_precisions = conditional_neg_hessian(conditional_mode, sigma,number_of_samples);\n",
" for (i in 1:M) {\n",
" x[i] = normal_rng(conditional_mode[i],inv_sqrt(laplace_precisions[i]));\n",
" }\n",
" }\n",
"}\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sd_log__]\n",
"100%|██████████| 2000/2000 [00:11<00:00, 172.74it/s]\n"
]
}
],
"source": [
"tt_XstarTheta = XstarTheta()\n",
"\n",
"with pm.Model() as m_la:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" conditional_mode = tt_XstarTheta(sd)\n",
" laplace_precisions = conditional_neg_hessian(conditional_mode, sd,\n",
" number_of_samples)\n",
" obs = pm.Poisson('obs', tt.exp(conditional_mode[index]), observed=Y)\n",
" pm.Potential('x∣y,θ',\n",
" -0.5 * (conditional_mode.dot(conditional_mode)) / sd**2 -\n",
" M * tt.log(sd) - 0.5 * tt.sum(tt.log(laplace_precisions)))\n",
"\n",
" group_mu = pm.Deterministic(\n",
" 'g_mu',\n",
" pm.tt_rng().normal(1, conditional_mode,\n",
" 1 / tt.sqrt(laplace_precisions)))\n",
" trace_la = pm.sample(1000, tune=1000)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1226c81d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace_la, lines={'sd': sigma, 'g_mu': X});"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>sd</th>\n",
" <td>1.27</td>\n",
" <td>0.27</td>\n",
" <td>0.01</td>\n",
" <td>0.82</td>\n",
" <td>1.81</td>\n",
" <td>873.27</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__0</th>\n",
" <td>0.19</td>\n",
" <td>0.28</td>\n",
" <td>0.01</td>\n",
" <td>-0.32</td>\n",
" <td>0.76</td>\n",
" <td>1937.34</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__1</th>\n",
" <td>-0.34</td>\n",
" <td>0.43</td>\n",
" <td>0.01</td>\n",
" <td>-1.16</td>\n",
" <td>0.51</td>\n",
" <td>1932.33</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__2</th>\n",
" <td>1.90</td>\n",
" <td>0.11</td>\n",
" <td>0.00</td>\n",
" <td>1.71</td>\n",
" <td>2.13</td>\n",
" <td>1935.82</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__3</th>\n",
" <td>2.03</td>\n",
" <td>0.09</td>\n",
" <td>0.00</td>\n",
" <td>1.87</td>\n",
" <td>2.22</td>\n",
" <td>1936.34</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__4</th>\n",
" <td>0.00</td>\n",
" <td>0.28</td>\n",
" <td>0.01</td>\n",
" <td>-0.51</td>\n",
" <td>0.56</td>\n",
" <td>1936.63</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__5</th>\n",
" <td>0.21</td>\n",
" <td>0.29</td>\n",
" <td>0.01</td>\n",
" <td>-0.33</td>\n",
" <td>0.80</td>\n",
" <td>1937.43</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__6</th>\n",
" <td>1.63</td>\n",
" <td>0.15</td>\n",
" <td>0.00</td>\n",
" <td>1.37</td>\n",
" <td>1.94</td>\n",
" <td>1934.99</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__7</th>\n",
" <td>0.72</td>\n",
" <td>0.20</td>\n",
" <td>0.00</td>\n",
" <td>0.37</td>\n",
" <td>1.13</td>\n",
" <td>1937.10</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__8</th>\n",
" <td>-0.45</td>\n",
" <td>0.36</td>\n",
" <td>0.01</td>\n",
" <td>-1.13</td>\n",
" <td>0.26</td>\n",
" <td>1931.13</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>g_mu__9</th>\n",
" <td>-1.72</td>\n",
" <td>0.60</td>\n",
" <td>0.01</td>\n",
" <td>-2.87</td>\n",
" <td>-0.55</td>\n",
" <td>1843.83</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"sd 1.27 0.27 0.01 0.82 1.81 873.27 1.0\n",
"g_mu__0 0.19 0.28 0.01 -0.32 0.76 1937.34 1.0\n",
"g_mu__1 -0.34 0.43 0.01 -1.16 0.51 1932.33 1.0\n",
"g_mu__2 1.90 0.11 0.00 1.71 2.13 1935.82 1.0\n",
"g_mu__3 2.03 0.09 0.00 1.87 2.22 1936.34 1.0\n",
"g_mu__4 0.00 0.28 0.01 -0.51 0.56 1936.63 1.0\n",
"g_mu__5 0.21 0.29 0.01 -0.33 0.80 1937.43 1.0\n",
"g_mu__6 1.63 0.15 0.00 1.37 1.94 1934.99 1.0\n",
"g_mu__7 0.72 0.20 0.00 0.37 1.13 1937.10 1.0\n",
"g_mu__8 -0.45 0.36 0.01 -1.13 0.26 1931.13 1.0\n",
"g_mu__9 -1.72 0.60 0.01 -2.87 -0.55 1843.83 1.0"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_la = pm.summary(trace_la)\n",
"df_la.round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compare with MCMC"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122c7bc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_nuts = pm.summary(trace)\n",
"ind = df_la.index\n",
"\n",
"x = df_nuts['mean'][ind]\n",
"xlower = df_nuts['hpd_2.5'][ind]\n",
"xupper = df_nuts['hpd_97.5'][ind]\n",
"\n",
"y = df_la['mean'][ind]\n",
"ylower = df_la['hpd_2.5'][ind]\n",
"yupper = df_la['hpd_97.5'][ind]\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.errorbar(\n",
" x,\n",
" y,\n",
" yerr=[y - ylower, yupper - y],\n",
" xerr=[x - xlower, xupper - x],\n",
" fmt='o',\n",
" alpha=.5)\n",
"ax.set_ylabel('Laplace approximation')\n",
"ax.set_xlabel('MCMC with NUTS')\n",
"ax.plot(\n",
" [min(xlower), max(xupper)], [min(xlower), max(xupper)], ls=\"--\", c=\".3\");"
]
},
{
"cell_type": "markdown",
"metadata": {
"heading_collapsed": true
},
"source": [
"### Check with a larger data set"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"hidden": true
},
"outputs": [],
"source": [
"N, M, sigma = 1000, 100, 2.\n",
"index2 = np.random.randint(0, M, size=N)\n",
"X2 = np.random.normal(0, sigma, size=M)\n",
"Y2 = np.random.poisson(np.exp(X2[index2]))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [g_mu, sd_log__]\n",
"100%|██████████| 2000/2000 [00:18<00:00, 109.60it/s]\n",
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sd_log__]\n",
"100%|██████████| 2000/2000 [01:08<00:00, 34.36it/s]\n"
]
}
],
"source": [
"with pm.Model() as m2:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" group_mu = pm.Normal('g_mu', 0., sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index2]), observed=Y2)\n",
" trace2 = pm.sample(1000, tune=1000)\n",
"\n",
"# transformed data block\n",
"sums = np.zeros(M)\n",
"number_of_samples = np.zeros(M)\n",
"for i in range(N):\n",
" sums[index2[i]] += Y2[i]\n",
" number_of_samples[index2[i]] += 1\n",
"\n",
"# xzero = np.log((sums + 0.1) / number_of_samples)\n",
"tmp = M\n",
"summm = 0.0\n",
"for i in range(M):\n",
" if number_of_samples[i] == 0:\n",
" tmp = tmp - 1\n",
" else:\n",
" summm = summm + sums[i] / number_of_samples[i]\n",
"\n",
"xzero = np.repeat(summm / tmp, M)\n",
"\n",
"with pm.Model() as m_la2:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" conditional_mode = tt_XstarTheta(sd)\n",
" laplace_precisions = conditional_neg_hessian(conditional_mode, sd,\n",
" number_of_samples)\n",
" obs = pm.Poisson('obs', tt.exp(conditional_mode[index2]), observed=Y2)\n",
" pm.Potential('x∣y,θ',\n",
" -0.5 * (conditional_mode.dot(conditional_mode)) / sd**2 -\n",
" M * tt.log(sd) - 0.5 * tt.sum(tt.log(laplace_precisions)))\n",
"\n",
" group_mu = pm.Deterministic(\n",
" 'g_mu',\n",
" pm.tt_rng().normal(1, conditional_mode,\n",
" 1 / tt.sqrt(laplace_precisions)))\n",
" trace_la2 = pm.sample(1000, tune=1000)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"hidden": true
},
"outputs": [
{
"data": {
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f3ikjx3WonDC8DLgW+CLwJ+DyilYkRAO4uyQMe4bTZHIenu9j4OLn0himjWs3s3Moi2lCLGTy0TOP5N2nHdGwgxDz3aRhqJSytdYO0AO8i6CV70/2fiEWgkK3uH80S1dzGICc6+eDEEzTwgtFwbDwfMi6Hh1hm2O7W2V1SZ2bqmX4PeCdgOZACBYC8YgK1yVE3SlMnQE4YVU73a0RtvQlCFkGuWyWJsuiKRQibIVJZBxcz+eopS1c/fojpVvcACYNQ631O/MfvkNr/XjhdaXUmZUuSoh6F0/l2D6QJGKZxJL76U/6JCPNNNkGkWiIiG2xKBaSIGwgU3WTTwOOBa5USn0l/7IJ/B1wXBVqE6KmCoMk5x3XPaZ7nHVctu5zg25xZhh78GVWLFrKQLiDVM7Hynp0Rm1WtMsSu0YyVTd5COgm2FRhef41D/iHShclRC2Uht9E4qkcfcNpsl7wuelnsTIZrI7DWbtyGZGMS38yx2lHLKpWyWIOTdVN3gxsVkp9u3SThvzuM0LMa6VL6yDYnfqPu4fIeAfe42JCpJ1wJMz+ZA7LMAhZwSFOnzlX1aJscQjKmVpznlLqY/n3GkAOmJP1ykLUm8IhTZt2x9k5kKR/NMvOwRQv7kswXGgS4gMGGDYuMJr1yLoZmsM2r1jRysaV7bUqXxyCcsLww8AZBBsr/Bj4aEUrEqKKPn+/BmDjyvYgAAcPXhCVzDokcvkg9N3gn8bY3ZVClsErVrRyxrrFMoWmQZWzNnmP1roHaNVaPwjIX3ti3tm0O85Tu4LWYCEQmyN2fi6hgWUYwRZcvkfQQQoYQMQ2OemwDq694DgJwgZWTsswrpS6APCVUh8EFle4JiFqLp7KkXW9/Oixh+0kcDwL3wqDcaANYZtwbHcLZ6yT/ywaXTlh+H5gHfAp4GMEU2uEmDdKu8bNEZv2JpvBVI5YKNiB+vkde8g5DtFIhLRvUmgbRmyDfzpXcdaGpTWrXcydcsLQBA4D1gOPAcsqWpEQFTLRvMGdgyn6R7MAjGaCDZme2TOM60PG8YinHbpaW0mRxjXD2K6HB9imybHdLRKE80g5YfgL4DlgMP+5D9xWsYqEmGOlO8xMJZ1zSDvBZFoTsPwMnh0j7lgsX9RKz3AW37CwDehui7CyI1rRukV1lfXMUGt9aaULEaKW4skMyZKdOj3PwcMik3WIhW1GMi7dbU2kci5dzWHOP07ON55vygnD+5VSHyLYvguQQ+RFY5isRfj5+3WxezyacYinHNziV33wC/MIDVKegZ/M4vngej5h2+J8CcF5qZwwPJ1gSd4Z+c/lEHlR9wrPBAsToAuTqYGDnhOODUIoBCFGMIXGMAxaQibhkpMbpVU4/5QThi1a67MqXokQFVAIwdIAhCAERzPOmOV1Y3brNMbOJQxZRrF7LOancsJws1LqYuAp8r8uWuvnK1qVELNQup54uiVx6VxpEB7oFuP7Y4LQBlojFmHbYnVnVFqE81g5YfjK/P8KfOANlSlHiEPTP5otricu3Y26tFUYDZmki4MlhWeEjOkaQ9AiXN7RVLwGBIErgTg/lXOI/OurUYgQc6UwX7BUIdCSWYdk1j2wZ7vnjllRUhA2oTMWoqs5XNy5RsxvU23uervW+kKlVA/jtv3XWq+oSnVCTGOiPQgPrCnmoCDbsjfB8vYm9o9kyDoZfMPENwxK1xvHbPizNYtoj4bYuLJdWoILxFT7GV6Y/3CV1ro44KaUaqt4VUJM4Y4nd5FMZmcUUvFUjp7hDLviaZIZEzOxB8JdGJaFXxKEEROOWtYma40XoHKeGf5KKXWx1rpHKXUy8B/Itv+ihp7YMUg260wYhuNbhN2tEZ54eYgX+1PEQgatYZNoOESoZTGLmsLsz5pkXQ/LCAZKVi9qlgnVC1Q5YfjPwM+UUg8BJwEXTvN+ISpu52CqOHm6EHyFM0oKklmHJ18eIpFx8X2fRMol5+WP9rSjJH2DlohBMhsEYc49MLdmuiMAxPxTThg+C/QBZwP3Ay9UtCIhprG9f7QYeqXht3MwVRw8yToug0kHDPB8H8vzsJJ9YIVx7CW4vkcmC022iW1A2LYI5/9rKMxNlB2rF5ZywvA3wMe11ncppa4GfkfQQhSiqkqX15WO8pbOKwyW2OWIpz0c3ydsGHi+T87JYlohmloXEQ5ZxMJhQpZJLGyNmYJTei1pFS4s5YThG7TWuwC01tcqpX5d4ZqEGKOwNX85RjM5BlNuceZMzvXwnDQYJm60C8+wsMzg9dWd0WCLrpJgldHjhaucMOxUSt1JsKdhD/C+ypYkFrLJntWVbsA6lM7h5p/vlXaTH9vez0AqmPhQePrn+h4GBoYVxvEh5Xh0RENEQibxtFP8fplLKMoJw+uB92utn1ZKbQRuBF5b2bLEQlcaiuOf3Q315A56/9a+EfYmDp5sbRgW2BYYwcqTle1NbFjWOiZcu5rD0jUW5e10rbV+GkBrvUkpdfBvnBAlphuJHb/j9GTvvbtkN+pSI2kH3wvafqMZh6zjsn+0JCCLy+soziG0DGgJW6Ry3oS7W2/aHZezjhe4csLQUUq9hWAg5XVAprIliYXqbbf8ntGMw9+97ogx02RKu8ITSeU8vEK/2Pfymy1A4fBHA2jLb7Yw3upFsbn7AURDKycMLwOuBb5IsMHr5RWtSIi8wsDG+Od5e0YyOI5He5PNlr4E6YxLyATH8/A9F98AjBAQxOEJq9rGbNE/0ZQZ6R6LcsLwI1rrv6p4JWLBKMzjmyqACoE1UXCF943yUt8Iz+1NkMw62EbwWHDY8QEfwwwXNuXi9esX8dojxi6tk+ATEyknDI9RSnVorYcqXo1YsO7Z3Btstup4YzZkHS+eyvFs7wgDyRy2AaZpYBsGORds38GxIvgEzwgXN9s0R0JjdrkuJaEoSpUVhkC/Umo/wcFhsmvNAnMoS9MKcwQ/c66a9EySQlhlHI+c5xdDcPyzwmTWoWc4w2jGxQOyPhieC7ZFyDJxiWD6ELYM2ptswrZ1UKDKFBoxmXL2M1xTjULEwrJzMDXm7OJyQmp/IkvG8Q7szu97+L5LLucRizWR9XxsE2KhSQZLZHWJmMK0YaiUOhX4BsHh8bsJ5hxums3NlFJm/lqvJBiVfr/WettsriVq6/Jbg1+Bb1+8cdbXGH+I+1SSWYfhjIPr5SdU+w6G5+EbJq5hk3N9DAPCpjHpNWStsZhKOd3k/wu8U2v9J6XUccDNwKmzvN8FQJPW+hSl1GuA64C3zvJaooGNP6dkdWeUnQNJcLwxrcTVnVHiqRz7ExkMDEKmj+M6wVQaAwwz+BWOhi2O6mimLxEEq6w1FjN18H7nBxvSWv8JQGu9GUgewv1OA36ev9ajyIYP88Y9m3snfSY4kYkGRyYST+V4Zs8IQ6kc4OP6YDhpDN/FMMMYBrSGLS44vnvM9JnxJAjFdMppGfYppf4d+BVwImAqpT4AoLW+eYb3awNKh/ZcpZSttXYAWloi2BM866lXlmXS0dGYk3ZnUnssFrSyOjpi3PHkLgBs2yy+VnjP7U/u4mdb+ljb1cxJazrp6IgRDtts7x/lgRcHitcJh21s2yQWCxc/DodtDDM4kCmc30sr63q8NJgi5/mEbRMDg2TWxQ/FMA0TyzBoCpucvHYRR3S3MZAZxLIMFrdEWNvVzPb+UcJhm1gsXDf/nhbK70wjKicMt+T/uQ4YBh4CljP2lNlyDQOtJZ+bhSAESCQaa3FLR0eMoaFDaSjXzkxqTyaDrufQULL4seN4xdcK7ym8ls06JJNZhoaSbNs7Qv9olke27iter9AqTCazZLMOjuORzeaX2Pk+2axDPJVjx0ASAwPH83DSScKWSTQUJeMamCY0h2wWt4SI2WbxWq7r4zgexyxp5pglzcUWYb38e1oovzP1ZsmS1mnfU04Y/gvBs76jgGe11vceQk2/Bc4Dbss/M3zmEK4l5thUU2gmm6tXCbuHUjy/L0Eq5xE2DTwnheMa4Ls0hQ1yvk8sZHP8ilbiaVkqL+ZGOc8Mvw1cBKSB9yilvnII97sTSCulHgG+Clx5CNcSDaSckVzH9UjnPP64Z4RMLhg2dpwMruNhmz5+uJmcByHLYElLiPZoaNJrnSfnmIgZKqdleLzW+tX5j7+ulHp0tjfTWnvAh2b7/WJihfl6c70xaWHC9FRBNt1E6mDnaWfM7jOFqTSlU2t2DiQYzgbdbNcL9poxvByu52JaNp4VxgBClklTyDho9xkIut9yzrGYrXLCcJtS6nCt9UtKqaXAzkoXJRpD/2iWuzf3FsNnovmChSV2U40ex5MZhrNjH0HnVxljmRaGFcYDImbQIsx6fnFzVyHmSjlheAqwRSm1E1gJZAoHy8uyvPlpJtvsj7d3JMPAaJaIbdI/miWRdXE9P5hDmJfJD7Q8tStOPJkdG4TF7bcMMG1cwMi/ZJFfheIGAy2FoB3NOMVzTMbPXxSiXOUsxzuiGoWI6rlncy+xWJg3HrHokK9VGj5P7ZrZIMtoJkci3zUO5EPR8/NPs4PVJIYBTRbY1tSPuAu1yLNCMRvlLMd7DfBeIETw27lCa31upQsT1XeoI8ajGYeWsEVzxC620h5+oZ+M443ZRLV/NEvWcUnmPEK2QcbJh6Cf/z/DoBCEi6I2i1vCxMIHflULZ6CcsKq9uK5ZQlAcqnJGk78JPAi0AzuA/ZUsSDSGwsDIzsEUm3bHyw7SZH4O4UDSIZ1zD2zR7wdPCYM1dkEQ2kawE3VpEI5X2jKdyQoYIcYr55nhfq31D5VS52itP6eUeqjiVYlJHcp2WtNd81A1R4Jfp9Jnd0HX2SmuMe6Jp8l5Ho7nYxvg+BDyUji+hW+GikHYFrHobotMODJsj5g4jifPBsWcKicMPaXUsUBMKaWAQ3/QJOpeYdpKYcODctcST2V7f5JE1gEMLNPHMg1yjo9vRWnGIeEHQbimo4m1XbFJJ1Sv7Womm5XJ1mJulROGVwHHEhwZ+gPglopWJCZVOp9wJko3WJ2t8dNmCiO5pa8XTpqb6H1b9o6wK54GDjwadNwMhhHG8yFrhTDcYH5hZ3N4zJnG461bFiytms2fhRCTKWc0+Vng2fynJ1a2HFFPSru74zdgDYLKGTPJuRBe47vJjpslmXUxjWBYxPPAd9MYuVFCTZ04hsnaRTF64ylcn4O28BrvpDWdxTXSMmgi5ko5LUNRY4UWYTWVs+HqdJ7tidMzlMYBRrIZivuuOinwXOxYJ6Zt02KZbFjWwv5EsPRuMqWtQAlBMdckDOepSgy0lCPruPQMp9k5kGQ45VDoOPuA6wOeg+n7EI6CZdMcMunIb+0lRC2VM8/QAi4F1hDsabhZay3Ta6qkGq3CibbfLzz/K6zuKPyzYGA0GxzeNJAsvr5vJE3OA8uEnDvRHm/5V+wwPlbQbTYM9ieyPJWLF1erFCZvl96zMJADcOr6JXP7ByAE5bUMvwXsAc4GHge+B/x5JYtaqCrVmiuMBBeuv2l3nHDYLj53KwRh6QBIpqS7mnGC4Ct9Le14eD4ksm7x9Uw+AH1vXBD6JROpTRuPA8vrEhm3eO2c6+MTBO0BQU1dzeHizxHeMVisvUC6zeJQlROGR2qt36+UOk1rfY9S6pMVr0pUdQLx6s5ocAZJyfSZ8S2y0mk2ADsHkmQcj0XNYbqawwyMZhgdCjbn9cYmIeDlAzH4dQubBp0xm1evXTRmCs/WvgQ5z2f90pYxtcHY54WxWPigMBTiUJUThrZSajGAUqqV4Oxk0UAKgVLaeip3bXJhVHj8NJa7N/fSP5rlhFXthEzYti9R/JpBScvQ8wAf07TxgdaIxQmr2mmPhopnKReu/Z3HdjKacTi/pM6JWnyNvOOyqF/lhOE/EuxQvRx4FPhoRSsSFbdpd5w9Ixlu/X2wG1uhFThRN3nnQJKndsUZzThjNmIoPDN8+IV+htMOTklr0C/8f2GpHWaxa2yb8MyeYSA4brTQPX9qV5y9Ixlcz+c7j+0stkI37Y4f0vxIIcpVzjzDh5RSZwMpYK3W+vHKl7Vw1GrUd644rseEWwt6LhAEoGFZtIQtoiGTsG1NODlbiForZzT5JmCb1vpapdQ/KqUu0VpfUYXaxBwrfQ65tis4MAkO7FaeXG+PAAAbV0lEQVQz2TPDwvPEQnd7a98Iu4c8PCA7QRIagGFaRG0Dy7KwTYPTjuwqfr1wn/OP6y6OZBeuXboLzUR1N+pfGqL+lbNrzau01tcC5EPwhMqWJOrZ1r4Rnt+XnOTBsQe+mx8yMehqiRANTf8rJhuyinpQ1qRrpVSX1rpfKdVR7veIyiptLd29ubf4bO/u/OuFll3haxnHGzN/zzANHnvRKn4OY6fT5PJDwgOj2eL37xxIMphyJj4j1vfBc8CwwPAxMMg4HoMpBzf/bLGgcJ/CgAkcvDFsaStV9isU1VDuUaFPKKUGCfY0/HBlSxL1ynG9yYMQn1BuBCfcjmkYNOefD4I8HxSNoZwBlHuVUvcBi4E+rbWcxFMHxreSxp+OVzow8/n7NTsHU8UpK4VJ1+U8Mwy6uQa9w2l8/LHTZoDiPEIMnKZFhEyTtV1RNixrHTNdZqpnhoC0/ETNlTOAcj5BazAEGEqpxVrr4ytemZjU+OV5pcdwTvSewsTm0tCzbbO4J+D4Izwh6Do7rke/H5xTPJJxJwjCwgsGlhFMn2myDxzjWbjO+NPxxh8VOhkJR1FN5XSTvwB8kOC8418DZ1W0ogVq/Brk8WE2lfHrisd/z2x3oMnmzy8uzIQpbMHlFjYkzG/RbxkGYdvEcb1pD22aylRrsCUYRaWV85vbo7X+HYDW+rvAqopWJKZVjdHXdM4h4/iknGDdcL4BiAGYuJi5FIaXI2xCZyxEk20RtWcehIWlgOPJ6LKotnJahhml1OuAkFLqXIJnh2KOnTfNErRSkz1fmygkCxuzFj4uKH1mON7AaIaMe+DzQvfY94K1JGZ2FDDxTIumkMWiWJjlbRFe7A+WyE12BspEP8dkpCUoqq2cMPxbYANBd/nz+X+KKphsYKNwIl1Bud3kcp4ZjmZyDKTcMdcqPCd0cSGXwTBMCMUIWybt0RCxsEU87Uy57f9EXf3Sn0FagqLWJg1DpdRRJZ++nP/npypbjqiVZNZh30iatHvw14Iw9MD1aM71Y3auwfOZeBleGSZqJQpRa1O1DL817vP8E3N84A0Vq0gcZC624J9KMuvQE89MGIQHmFiGQ3TJWtpjEfYnslNu0V8qYpsHbRE2Gekei1qZNAy11q8vfKyUWgIcCTyvtR6oRmELzUSjyaXTU0qN33W60BUtfb3wPf2j2eJmqeNXoOyNp8k6Ln2J3MSTqSF4UJjfmDUSDpPzgp2pC7tSD5RsCpvIBmlaWkthtUnpCpOJdq+eiASjqKZy5hn+LXAlwQl5xyilPq+1/n7FKxPF1lThcPZSBweJQ3PEPuj1ruZwMaxKv2ZZBmHTIJE5sLvMwXMIveLIiWVadLU0Fb9UCLmIbRbrG//aZPcu/GzynFDUk3IGUD4AvEJrnVZKxYCHAAnDOTZ+NHmqOXelx3NO9/rqzmixJVb6Nds2GU7m6IjajGRy+OOfAfrB7tSG7xKLhLEsa0ygjWYccLwxAVwIvsJrk91bVpuIelROGO7lwALTFNA/xXvFHJso9CZrVZUztaZ3OM2WvQkyKYd01mFFe4T+UYtUzsUwwPXA9/18M9EjFgnT2RwhFrZmdW7yRNN6JAhFPSonDE1gk1LqEYLtu0JKqR8AaK3fWcniFrKpupCTtawmer20lblhaQtP7ByiPWrTGg2xN55hIBkEYl8iRyLjgOHjOWlsfCKxFpa3RzlzXRe9I5kxNRVCrjSAx7923nHdEnyiYZQThv9a8vF/VaqQ+W6yA54mW4I3k+V45axNBrjpke2kci7xlEMi6xG1DXqHHeIpn9aISSoLmAZtzTFCtkU4ZBMLW/SOZA66fmG7/kNd9idhKepFOWH4DHAu+Y0agBVa62sqWpWoiHjKoa3JohCTLRGb1Z1NvLA/SWagh9bMMO2rj6E5Eqr4dB4h6k05YXgn8BxwPJAG5FiyWZiuBTQXy/Emej1qm+wcSJF2PdoiNs3hKN1tEUIhiyM6owyncozu2UqTvou29a+mc1krhmEUv7+0GzybbrIQjaKclfWG1vpDgCY4SH768yVFXXi2J84Nv3mJnOsRMSFkwlO7h9k9lML3fYZTOTb96Tn8bb9h/Umvp3PjOWOCcKbOP66bb1+8UabMiIZUTsvQUUo1Ac0EY4yz2vZfKdVOMCWnDQgDVxV2w5lvxk+gnkqhNVX63G/8M8CJ1h1PtDa59PWdgym27ktgYpBxPTIuGGYwXWbnYIqhtEssvp2mHb8lulKxreNEBnYPF69ZOmm79PrFe5YcJVD6+vifAw4eDJIWo6hH5bQMbyQ4K/kXBGuUX5rlva4CHtBanwFcmr+uqIB4KkfPcJpUziPrunjegQmETbaJYRgcvjjG0Su7WHHUCZhHnnZILUIh5oNytv2/o/CxUurHwLJZ3uurQKbkvulZXqfuzWRKSen2/BN9DAdvejr+eVyhJbpxZTsblrbw/Sd2sbozSirrYGCQcjyabJO1i6IMp3NEEgkufNUq3njEK8bUMNEIdOH5X+H6BXdv7qV/NMsJq9oPmkPY6GdBi4VpRl1erfWwUup/gJOnep9S6n0ES/hKvVdr/bhSqpugu/zR8d/X0hLBtq2ZlFRTlmXS0RErfn7Hk7tmfI0/7RsFIPbiwIQfA+wZyYz5nvC+UWIvBkvEe4ZS3PX0HvaOZHjohX6awxaLWyLkXJ+WSIiBVA7H80lmXfbE08TjcRbv/l8eWREh2JntQA2l9xlK5wCwR0zC+0bZM5IhXFLTUDpHMucSDtvEYgdWpjzw4kDx8wdeHODtr5r7vYDH/7k3Eqm9fs3m+d+0/Smt9S3ALeNfV0odD9wKXK21fmj81xOJzPiX6lpHR4yhoQOD68nkzKejFPYUTCazE34M4IzbHSabdUgms/QOp/n11n3sS2SCVSOez/5EllTWpTVi0xKxaWuy2LY/iedDenAvi3t+z7qjjiXcsaxYb+Fepfdx82vzHMcjm3WK/yz9eixkccyS5il/7tI/n7ky/s+9kUjttbFkSeu075lNGM5qFzul1DHAj4GLtNZPz+YalTCTwY7xwmF7TEDMxphBiUk+nmzO35a9CfYlcni+j+eD4wdnloxmHLKuR0vEpr0pRJMFTfs1K3Y/SNdJ5zHYuYGR/tFpD4QqNb6Gwten+7Ob7OuFrrV0pUW9mGpz1x9ycPAZwBGzvNc1QBPwdaUUQFxr/dZZXksAqZyLlw/AgohtMpp1MTwf3/fJuR5kRunY/0cWv/oCWta8gsEy9hUUYqExfH/ihp5S6ozJvmmiLu5c2LdvpKHOZJ6LbsOhDKDc/MgOHnmxn8FUlrTj0xKxaI3YpHIuruvTEQtz8ppOnu8bIeYM8y8Xnlq8ZywW5o1HLBpTw0wHUAC+ffHGQ/r5Z6ORu2tSe20sWdI67eO9qTZ3rUjgidkLpsxk2DGQomc4wxGLojzXE6J3JIPreuQcgwQOqztirF9k89Kvf8CZJ76TvSMhoGva6wuxkM1qArWovngqxwv7RwlZJstawwync/zmxRR/cewyko7Ltn2jeMCJh3Xw5vVt/OdN15EY2EsqlQLmfgSwFi1CISppQYThZDvGHKpYLDyrEeRS5e5as3MgScpx8X0jOIku62KZBvdt6WNVRxTPD7q069rgu9/4Momh/Sx97cXstJazczD4+Uu7w+GwXax9slP4SpVzfsl4MjgiGsnMT/0WVZfMOiSyLr4PpgGe57NrKI3jesRTJdNdMkke/vE3SMYHWHraXxPtPrKGVQvRWBZEy3B8C6VSLcVKiKdy7BxMkXN9fMAyfEKWgW0a7B3JsG5JS/G9ZqiJrpVHctjRJ7LLqMwzwplswiArUUQjkZZhHds9lOKJnUOkHf/AQe4+JNIuWdcjmfPZsLSF3OgQfnoEwzQ54ey/YvGq2c5+EmLhWhAtw1Kfv1/P2bUqOel6y94Rdg6mg3mC43jASNphWWuEl/f0sPvX/4kTamFH5F0TXqvw/K/02aBtmzOadF1Q7gR12cZLNJoFEYal3eLZDARMxrbNg5bKzVRpABU+TmYdtvenyHn+pMt9fCDijLD7gR/heR79h59OOJnDMCYPttLQsyyjWPv4s5ZLTRaK4010cJUQjWRBhGGp8+fw+dVcjiYXJjbHUzkGUznCtonpemTzzwoL5xr7QNgyWN9hEf3DbWCbdJ3+bmyvdcyu06XXLUyQLvzshdHkY5Y0j3nv+L8oSt9fuNZk5LmgaHQLIgwL/6HW88BJ4QjP3uEMLRELE7BMA8v3yeXPcjcBw4D2JovYzt+CYfLaCz/EC6kmqOESOwlCMR8siDCsd/FUju0DSXKuh+974Js4frC2OGyZuL6Hl28etoRMju5u4zWvugAnm6G5YzHMcqOJycxl61mIRjFvwrCeW33T6RnO0B61SVsmIdsCwyBkmfi+j20GwWibBivMBNGeP9C27i+JxFqJxKbflmgmynnuJ61AMV/NmzBsRIWu8a54mlTOxjQMWiMWqVxwVglAe9TGBxZ7g0Sfvg3CzbgZ2XVGiLk2b8KwFi2WQ9nFY2tfgid2DgUtwlyIiG0STzus6mhi7aIYj24fwPXgsM4oy7zdpB67DSvWRveZ7+GkdSvLPir0vOO6iwMgpV8r3bVm/DPVia4hxHzX8GFYy+7xoYwmP7htP6mcW1xOF087pLIuL/UnsUwD0zBYv6yZcHwnQ4/+CKIduCe8gz1p+6C5fuNP0yu8VlD42mRrkyf6ngIJQrFQyAqUGomnHJrs4I+/KWSxqqOJkGWQcX2iIYsjFzfTHg1hhpugfTnGSRdhRJprXLUQ81fDtwxr2XI5lG5yz3CG4XSueESnWtqCZRpEQxbXXXAcP/zNM7R0tsPKdp7qXDHmKM+JusOTvV5ON3k8aQ2KhUhahjXy+nVdjKQdUjkX3/cZTjtkHI8NS1t4/PFHeeB7X+Ll5/4AIGcaC1EFEoY1sn5pC5ectIpoyGI47dLWFOI1azrJ7X6Wb33rBhYtX0v3kcfWukwhFoyG7yY3svVLWzhz3WIg6JrecOtdPPXLH7NhwzGsO+td2KFIVeuR7rFYyKRlWCd6e3t46n9+zNI1R3HFFVdXPQiFWOikZVgnuruX85q3vo8lh60jHA7XuhwhFhxpGdbYticfYt/O5wHoPvxoLDtU44qEWJgkDGvo3nv/m80P3c3Lzz1Z1fued1w3b3/VqqreU4h6J93kGvB9n7vuuoN77rmTw44+kY1n/1WtSxJiwZMwrDLf97njjh9x3333cNppZ9B14lswTGmgC1FrEoZV5vs+w8NxzjzzLN71rr/hp3/qq/g9P3Ouqvg9hGh0EoZV4nkeo6MJWlvbuPTSyzEMQ1aWCFFHpH9WBZ7n8b3v3cIXvvBZkslRTNOUIBSizkjLsMI8z+M737mZRx75DW95ywVEo7Gq3FdWkwgxMxKGFeS6Lrfc8k0ee+x3XHDBhZx33l/WuiQhxCQkDCvorrvu4LHHfseFF17Mm998Xq3LEUJMQcKwgs4558/p7l7OqaeeXutShBDTkAGUOZbNZrnrrjvI5bK0tLRIEArRICQM51Amk+b666/lnnvuZMuW52pdjhBiBqSbPEdSqRTXX38tW7dqLrvsgxx//CtrXZIQYgYkDOdAMpnka1/7Ei+99AKXX/5hXv3qU2pdkhBihiQM58Dg4AD79vXxwQ/+PSeddHKtyxFCzELVw1AptQF4DFimtU5X+/5zKZPJALBy5Sq++MWvEIk01bgiIcRsVXUARSnVBlwHZKp530oYHo7zyU9+gp/+9C4ACUIhGlzVwlApZQA3A58GZnfYcJ0YGhrkS1/6Ar29PRx++JG1LkcIMQcq0k1WSr0PuHLcyzuAW7XWTys18ZZSLS0RbNuqRElzpr9/P9de+68MDg7y2c/+E0cffcwhXS8WC8476eiITfgxQDhsH/Q9HR2xMZ+Hw/ZBr0/Fssyy31tvpPbaaOTay1GRMNRa3wLcUvqaUmob8L58UHYDvwBeV/qeRKK+e8+5XI7PfvYfGRkZ5sorP8HRRx/D0NChNXKTySwAQ0PJCT8GyGadg76n9L7JZJZs1jno9al0dMQOufZakdpro5FrX7Kkddr3VG0ARWu9rvCxUmo7cE617j1XQqEQ55//Nrq7l0v3WIh5RqbWlKG3t4f9+/dx3HGv4JRTTqt1OUKICqhJGGqt19bivrOxZ88uvvzlf8O2bf7t364jFKq/ozzPO65b9i8U4hBJy3AKL7+8k+uuuwbTNLnyyk/UZRAKIeaGhOEkdux4ieuu+yLhcIirr/4/dHcvr3VJQogKkjCcxGOP/Y6mpiY+/vH/w5IlS2tdTtHGle3SJRaiAiQMx/E8D9M0ufDCi3nTm/6Ctrb2WpdUJEEoROXIfoYltmz5E5/97CfYt68P0zTrKgiFEJUlLcO8Z599hhtu+AqLFy8hHA5P/w0VMFmrT1qEQlSehCHwxz9u4sYbv0Z393KuvvpTtLa21bqkIglBIapjwYfhli3PcsMNX2HVqsO46qpP0tIy/bKdapAQFKK6FnwYrl59OKeddgYXXngxsVhz1e8voSdEfViwAyibN/+RTCZDLBbjPe95X02CUAhRPxZkGD788EN87Wtf4t57/7vWpQgh6sSC6yY/9NCv+N73buGYY47jLW+5oNblCCHqxIIKwwce+AU/+MF/cvzxG/nwh68gFKrNFBohRP1ZMGGYTI5y7713snHjiXzoQ38vmy4IIcZYEGHo+z6xWDOf+tTnWLSoC9teED+2EGIG5nUq+L7P3Xf/hFwux9vffhFLly6rdUlCiDo1b0eTfd/nJz+5jbvv/gnDw3F83691SUKIOjYvW4a+73Pbbf/FL35xH2ec8QYuueS9mOa8zX0hxByYl2H4ox99n1/+8ue84Q3n8M53vgfDMGpdkhCizs3LMDziiHW86U1/wYUX/rUEoRCiLPMmDD3PY8eOlzj88CM5+eRTOPnkU2pdkhCigcyLB2mu6/Lv//5Nrrnmn+nt7al1OUKIBtTwLUPHcbj55hv5wx9+z9vffpEc3CSEmJWGDsNcLsdNN13Ppk1PctFFl3DOOW+udUlCiAbV0GH46KO/ZdOmJ3nXu/6GN7zhnFqXI4RoYA0dhqeddgbd3ctZv17VuhQhRINr6AEUwzAkCIUQc6Khw1AIIeaKhKEQQiBhKIQQgIShEEIAEoZCCAFIGAohBCBhKIQQgIShEEIAEoZCCAFIGAohBACGHJQkhBDSMhRCCEDCUAghAAlDIYQAJAyFEAJo8M1d64VSagPwGLBMa52udT3lUEq1A98H2oAwcJXW+ne1rWpqSikT+AbwSiADvF9rva22VU1PKRUC/gNYC0SAL2it765pUTOklFoK/AE4W2u9pdb1lEsp9SngfILf8W9orW+Z7L3SMjxESqk24DqC/zgbyVXAA1rrM4BLgRtrW05ZLgCatNanAJ8k+HNvBJcA/Vrr04E3ATfUuJ4ZyYf5t4BUrWuZCaXUmcCpwGuBM4DDpnq/hOEhUEoZwM3Ap4FkjcuZqa8S/IJD0ENohBbtacDPAbTWjwIn1bacsv0Y+Ez+YwNwaljLbFwL3ATsqXUhM3Qu8AxwJ3APcO9Ub5ZucpmUUu8Drhz38g7gVq3100rV7/EDk9T+Xq3140qpboLu8kerX9mMtQHxks9dpZStta7rcNFaJwCUUq3A7cA/1rai8imlLgX2aa3vz3c5G8liYA3wFuBw4G6l1Aat9YSTqyUMy5R/1jDmeYNSahvwvnzYdAO/AF5Xg/KmNFHtAEqp44Fbgau11g9VvbCZGwZaSz436z0IC5RShxG0UL6htf5BreuZgcsAXyl1FrAR+J5S6nytdW+N6ypHP7BFa50FtFIqDSwB+iZ6s4ThIdBaryt8rJTaDjTMeaVKqWMIum8Xaa2frnU9ZfotcB5wm1LqNQRdoLqnlFpG8Bfl32mtH6h1PTOhtS7+5a6UehD4UIMEIcDDwBVKqa8Ay4FmgoCckIThwnUN0AR8Pd/Fj2ut31rbkqZ1J3C2UuoRgmdv761xPeX6NNAJfEYpVXh2+GatdUMNSDQarfW9SqnXAb8nGB/5sNbanez9sjZZCCGQ0WQhhAAkDIUQApAwFEIIQMJQCCEACUMhhABkao2YRH5d56+Bv9Za31ry+h+BJ7XWlyqlmoAvAK8GfCABfFBr/XJ+TtoyrfXRJd/7NuAO4HCt9Xal1OnAZ4EQwRyw72itvzGDGt8ErNZa36yU+gDwHYJ1qB/SWl88xfdtB76qtf56/vMNwE1a6zOVUt8lWFX085L392qtu5VSDwAWsIFg4u4A8EuCaUrXAscTbMQwSjCN48VyfxZRe9IyFFPZAhRDJb9ipbnk618DdmmtT89Pzv02cFvpBZRSG0s+vZhgCSNKqSOA64FLtNZnEqzceU8+4Mqitf651vrm/KefJgiqcl2pZriGUmv9xnytPwf+QWt9ptb6Xwk2X1ihtT47/+fwLYK136KBSMtQTOVpQCml2rXWcYLdV/4LWK2UCgNvBf628Gat9Z1Kqf8t+f4fAn8NbFJKdRBM8i6sXng38D2t9d7896aUUucStC4huHEXwc46G/MrTu4DuoAVBMsLf0jQSttKsBzyVoKAXq+Uug9YCtyjtf7cBD/bVcB3lVKnzfpP54B9wElKqYuAB4C7gJ/NwXVFFUnLUEznDuBt+R16TgYeyb/eBfSOX/SutS5d7nQP8Of5772QYJOCghXAi+O+N166QiB/rf78ut43AzsJdqo5n2A1SuF9txCEbKEV20Sw3dfpwN9N8nP9DNgMfGKqHz5vypUJWuvHgcvz93wWeAI4pYzrijoiYSim8wOCkHkd8JuS1/cDHfmgK1JKvSu//x0E+989RRAMFwA/KXnrDsbtL6eUeqVS6oRx978T+HOCfem+CJwN/AUlYTiBzVrrjNY6ydTbZV0F/A3BZrEFKYLnfqWm7EEppV4BaK31XxO0UD9FsH7amOr7RH2RMBRTyg8CNAMfIdjqq/B6Drgf+PvCa0qpvwKuyH+t4AcEoTNY2Mqq5PX3K6WW5L+3heBZ2/JxJfw38E6CHWt+ThCqkUL3uoTHgd/nstaYaq1HgA8CXy95+UngbSU/0+nAn6a51FnAvyilzHxL+VlgdLKtokR9kjAU5fgRcJjW+vlxr18FHKOUekQp9VuCVtbbx73nfwi6qz8sfVFrvR34B+An+ZHnh4D/1Fr/bNz7dhF0ex/QWg8StPR+OkGNvyHo+s6oNaa1fnBcbd8FEkqpTUqp3wCfAz4wzWWuJ3jWuUkp9XD+eu+eSR2i9mSjBiGEQFqGQggBSBgKIQQgYSiEEICEoRBCABKGQggBSBgKIQQgYSiEEAD8P94CeMYEDfivAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121f4d7b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_nuts = pm.summary(trace2)\n",
"df_la = pm.summary(trace_la2)\n",
"ind = df_la.index\n",
"\n",
"x = df_nuts['mean'][ind]\n",
"xlower = df_nuts['hpd_2.5'][ind]\n",
"xupper = df_nuts['hpd_97.5'][ind]\n",
"\n",
"y = df_la['mean'][ind]\n",
"ylower = df_la['hpd_2.5'][ind]\n",
"yupper = df_la['hpd_97.5'][ind]\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.errorbar(\n",
" x,\n",
" y,\n",
" yerr=[y - ylower, yupper - y],\n",
" xerr=[x - xlower, xupper - x],\n",
" fmt='o',\n",
" alpha=.5)\n",
"ax.set_ylabel('Laplace approximation')\n",
"ax.set_xlabel('MCMC with NUTS')\n",
"ax.plot(\n",
" [min(xlower), max(xupper)], [min(xlower), max(xupper)], ls=\"--\", c=\".3\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Make it more automatic\n",
"Automatically infer the Mode of $p(x \\mid y,\\theta)$ and the Hessian around the mode"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# set up model again following cell above\n",
"N, M, sigma = 100, 10, 2.\n",
"with pm.Model() as model:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" group_mu = pm.Normal('g_mu', 0., sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index]), observed=Y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Q: If I am taking the model likelihood $p (x , \\theta \\mid y)$ while fix $\\theta$ is that the same as taking the mode of $p (x \\mid y, \\theta)$?"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"from pymc3.blocking import DictToArrayBijection, ArrayOrdering\n",
"\n",
"start = model.test_point\n",
"vars = pm.theanof.inputvars(group_mu)\n",
"bij = DictToArrayBijection(ArrayOrdering(vars), start)\n",
"logp_func = bij.mapf(model.fastlogp)\n",
"x0 = bij.map(start)\n",
"\n",
"dlogp_func = bij.mapf(model.fastdlogp(vars))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2., -2., 64., 94., 0., 2., 34., 12., -4., -11.])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dlogp_func(x0)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2., -2., 64., 94., 0., 2., 34., 12., -4., -11.])"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# transformed data block\n",
"sums = np.zeros(M)\n",
"number_of_samples = np.zeros(M)\n",
"for i in range(N):\n",
" sums[index[i]] += Y[i]\n",
" number_of_samples[index[i]] += 1\n",
"\n",
"# xzero = np.log((sums + 0.1) / number_of_samples)\n",
"tmp = M\n",
"summm = 0.0\n",
"for i in range(M):\n",
" if number_of_samples[i] == 0:\n",
" tmp = tmp - 1\n",
" else:\n",
" summm = summm + sums[i] / number_of_samples[i]\n",
"\n",
"xzero = np.repeat(summm / tmp, M)\n",
"\n",
"def func(x, sigma):\n",
" return sums - number_of_samples * np.exp(x) - x / sigma**2\n",
"\n",
"\n",
"# conditional_hessian\n",
"def jac(x, sigma):\n",
" return np.diag(-number_of_samples * np.exp(x) - 1 / sigma**2)\n",
"\n",
"\n",
"def x_star_theta(theta):\n",
" sol = optimize.root(func, np.zeros(M), jac=jac, method='hybr', args=theta)\n",
" return sol.x\n",
"\n",
"\n",
"func(x0, np.exp(start['sd_log__']))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"dlogp_func_jac = bij.mapf(model.fastd2logp(vars))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[10.57079633, -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , 7.57079633, -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , 12.57079633, -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , 15.57079633, -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , 12.57079633,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" 9.57079633, -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , 9.57079633, -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , 12.57079633, -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , 11.57079633, -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , 13.57079633]])"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dlogp_func_jac(x0)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-10.57079633, 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , -7.57079633, 0. , 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , -12.57079633, 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , -15.57079633,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" -12.57079633, 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , -9.57079633, 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , -9.57079633, 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , -12.57079633,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" -11.57079633, 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , -13.57079633]])"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"jac(x0, np.exp(start['sd_log__']))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Recompiling the dlogp and d2logp is quite slow, ideally we compile it once only"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# modify ValueGradFunction from PyMC3\n",
"# ValueGradFunction(self.logpt, grad_vars, extra_vars, **kwargs)\n",
"class GradHessianFunction(object):\n",
" \"\"\"Create a theano function that computes a gradient and its Hessian.\n",
"\n",
" Parameters\n",
" ----------\n",
" cost : theano variable\n",
" The value that we compute with its gradient.\n",
" grad_vars : list of named theano variables\n",
" The arguments with respect to which the gradient is computed.\n",
" extra_vars : list of named theano variables\n",
" Other arguments of the function that are assumed constant. They\n",
" are stored in shared variables and can be set using\n",
" `set_extra_values`.\n",
" dtype : str, default=theano.config.floatX\n",
" The dtype of the arrays.\n",
" casting : {'no', 'equiv', 'save', 'same_kind', 'unsafe'}, default='no'\n",
" Casting rule for casting `grad_args` to the array dtype.\n",
" See `numpy.can_cast` for a description of the options.\n",
" Keep in mind that we cast the variables to the array *and*\n",
" back from the array dtype to the variable dtype.\n",
" kwargs\n",
" Extra arguments are passed on to `theano.function`.\n",
"\n",
" Attributes\n",
" ----------\n",
" size : int\n",
" The number of elements in the parameter array.\n",
" profile : theano profiling object or None\n",
" The profiling object of the theano function that computes value and\n",
" gradient. This is None unless `profile=True` was set in the\n",
" kwargs.\n",
" \"\"\"\n",
"\n",
" def __init__(self,\n",
" cost,\n",
" grad_vars,\n",
" extra_vars=None,\n",
" dtype=None,\n",
" casting='no',\n",
" **kwargs):\n",
" if extra_vars is None:\n",
" extra_vars = []\n",
"\n",
" names = [arg.name for arg in grad_vars + extra_vars]\n",
" if any(name is None for name in names):\n",
" raise ValueError('Arguments must be named.')\n",
" if len(set(names)) != len(names):\n",
" raise ValueError('Names of the arguments are not unique.')\n",
"\n",
" if cost.ndim > 0:\n",
" raise ValueError('Cost must be a scalar.')\n",
"\n",
" self._grad_vars = grad_vars\n",
" self._extra_vars = extra_vars\n",
" self._extra_var_names = set(var.name for var in extra_vars)\n",
" self._cost = cost\n",
" self._ordering = ArrayOrdering(grad_vars)\n",
" self.size = self._ordering.size\n",
" self._extra_are_set = False\n",
" if dtype is None:\n",
" dtype = theano.config.floatX\n",
" self.dtype = dtype\n",
" for var in self._grad_vars:\n",
" if not np.can_cast(var.dtype, self.dtype, casting):\n",
" raise TypeError('Invalid dtype for variable %s. Can not '\n",
" 'cast to %s with casting rule %s.' %\n",
" (var.name, self.dtype, casting))\n",
" if not np.issubdtype(var.dtype, np.floating):\n",
" raise TypeError('Invalid dtype for variable %s. Must be '\n",
" 'floating point but is %s.' % (var.name,\n",
" var.dtype))\n",
"\n",
" givens = []\n",
" self._extra_vars_shared = {}\n",
" for var in extra_vars:\n",
" shared = theano.shared(var.tag.test_value, var.name + '_shared__')\n",
" self._extra_vars_shared[var.name] = shared\n",
" givens.append((var, shared))\n",
"\n",
" self._vars_joined, self._cost_joined = self._build_joined(\n",
" self._cost, grad_vars, self._ordering.vmap)\n",
"\n",
" grad = tt.grad(self._cost_joined, self._vars_joined)\n",
" grad.name = '__grad'\n",
"\n",
" f = tt.flatten(grad)\n",
" idx = tt.arange(f.shape[0], dtype='int32')\n",
"\n",
" def grad_i(i):\n",
" return tt.grad(f[i], self._vars_joined)\n",
"\n",
" # negative full hessian\n",
" hessian = -theano.map(grad_i, idx)[0]\n",
" hessian.name = '__hessian'\n",
"\n",
" inputs = [self._vars_joined]\n",
"\n",
" self._theano_function = theano.function(\n",
" inputs, [grad, hessian], givens=givens, **kwargs)\n",
"\n",
" self._dlogp_func = theano.function(\n",
" inputs, [grad], givens=givens, **kwargs)\n",
"\n",
" self._d2logp_func = theano.function(\n",
" inputs, [hessian], givens=givens, **kwargs)\n",
"\n",
" def set_extra_values(self, extra_vars):\n",
" self._extra_are_set = True\n",
" for var in self._extra_vars:\n",
" self._extra_vars_shared[var.name].set_value(extra_vars[var.name])\n",
"\n",
" def get_extra_values(self):\n",
" if not self._extra_are_set:\n",
" raise ValueError('Extra values are not set.')\n",
"\n",
" return {\n",
" var.name: self._extra_vars_shared[var.name].get_value()\n",
" for var in self._extra_vars\n",
" }\n",
"\n",
" def __call__(self, array, extra_vars=None):\n",
" if extra_vars is not None:\n",
" self.set_extra_values(extra_vars)\n",
"\n",
" if not self._extra_are_set:\n",
" raise ValueError('Extra values are not set.')\n",
"\n",
" if array.shape != (self.size, ):\n",
" raise ValueError('Invalid shape for array. Must be %s but is %s.' %\n",
" ((self.size, ), array.shape))\n",
"\n",
" dlogp, d2logp = self._theano_function(array)\n",
" return dlogp, d2logp\n",
"\n",
" def dlogp(self, array, extra_vars=None):\n",
" if extra_vars is not None:\n",
" self.set_extra_values(extra_vars)\n",
"\n",
" if not self._extra_are_set:\n",
" raise ValueError('Extra values are not set.')\n",
"\n",
" if array.shape != (self.size, ):\n",
" raise ValueError('Invalid shape for array. Must be %s but is %s.' %\n",
" ((self.size, ), array.shape))\n",
"\n",
" return self._dlogp_func(array)[0]\n",
" \n",
" def d2logp(self, array, extra_vars=None):\n",
" if extra_vars is not None:\n",
" self.set_extra_values(extra_vars)\n",
"\n",
" if not self._extra_are_set:\n",
" raise ValueError('Extra values are not set.')\n",
"\n",
" if array.shape != (self.size, ):\n",
" raise ValueError('Invalid shape for array. Must be %s but is %s.' %\n",
" ((self.size, ), array.shape))\n",
"\n",
" return self._d2logp_func(array)[0]\n",
"\n",
" @property\n",
" def profile(self):\n",
" \"\"\"Profiling information of the underlying theano function.\"\"\"\n",
" return self._theano_function.profile\n",
"\n",
" def dict_to_array(self, point):\n",
" \"\"\"Convert a dictionary with values for grad_vars to an array.\"\"\"\n",
" array = np.empty(self.size, dtype=self.dtype)\n",
" for varmap in self._ordering.vmap:\n",
" array[varmap.slc] = point[varmap.var].ravel().astype(self.dtype)\n",
" return array\n",
"\n",
" def array_to_dict(self, array):\n",
" \"\"\"Convert an array to a dictionary containing the grad_vars.\"\"\"\n",
" if array.shape != (self.size, ):\n",
" raise ValueError('Array should have shape (%s,) but has %s' %\n",
" (self.size, array.shape))\n",
" if array.dtype != self.dtype:\n",
" raise ValueError(\n",
" 'Array has invalid dtype. Should be %s but is %s' %\n",
" (self._dtype, self.dtype))\n",
" point = {}\n",
" for varmap in self._ordering.vmap:\n",
" data = array[varmap.slc].reshape(varmap.shp)\n",
" point[varmap.var] = data.astype(varmap.dtyp)\n",
"\n",
" return point\n",
"\n",
" def array_to_full_dict(self, array):\n",
" \"\"\"Convert an array to a dictionary with grad_vars and extra_vars.\"\"\"\n",
" point = self.array_to_dict(array)\n",
" for name, var in self._extra_vars_shared.items():\n",
" point[name] = var.get_value()\n",
" return point\n",
"\n",
" def _build_joined(self, cost, args, vmap):\n",
" args_joined = tt.vector('__args_joined')\n",
" args_joined.tag.test_value = np.zeros(self.size, dtype=self.dtype)\n",
"\n",
" joined_slices = {}\n",
" for vmap in vmap:\n",
" sliced = args_joined[vmap.slc].reshape(vmap.shp)\n",
" sliced.name = vmap.var\n",
" joined_slices[vmap.var] = sliced\n",
"\n",
" replace = {var: joined_slices[var.name] for var in args}\n",
" return args_joined, theano.clone(cost, replace=replace)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"varnames = [var.name for var in vars]\n",
"extra_vars = [var for var in model.free_RVs if var.name not in varnames]\n",
"dlogp_d2logp_func = GradHessianFunction(model.logpt, vars, extra_vars)\n",
"array0 = dlogp_d2logp_func.dict_to_array(point)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[10.57079633, -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , 7.57079633, -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , 12.57079633, -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , 15.57079633, -0. ,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , 12.57079633,\n",
" -0. , -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" 9.57079633, -0. , -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , 9.57079633, -0. , -0. , -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , 12.57079633, -0. , -0. ],\n",
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" -0. , -0. , -0. , 11.57079633, -0. ],\n",
" [-0. , -0. , -0. , -0. , -0. ,\n",
" -0. , -0. , -0. , -0. , 13.57079633]])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dlogp_d2logp_func.d2logp(array0, point)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
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" [ 0. , 0. , 0. , 0. ,\n",
" -12.57079633, 0. , 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , -9.57079633, 0. , 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , -9.57079633, 0. ,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , -12.57079633,\n",
" 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
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" -11.57079633, 0. ],\n",
" [ 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. ,\n",
" 0. , -13.57079633]])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"jac(array0, np.exp(point['sd_log__']))"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def x_star_theta(point):\n",
" sol = optimize.root(\n",
" func,\n",
" np.zeros(M),\n",
" jac=jac,\n",
" method='hybr',\n",
" args=np.exp(point['sd_log__']))\n",
" return sol.x\n",
"\n",
"\n",
"def dlogp_pm(array, point):\n",
" return dlogp_d2logp_func.dlogp(array, point)\n",
"\n",
"\n",
"def d2logp_pm(array, point):\n",
" return -dlogp_d2logp_func.d2logp(array, point)\n",
"\n",
"\n",
"def x_star_theta_pm(point):\n",
" sol = optimize.root(\n",
" dlogp_pm, np.zeros(M), jac=d2logp_pm, method='hybr', args=point)\n",
" return sol.x"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The slowest run took 5.49 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
"3.66 ms ± 2.49 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"thetas = np.linspace(.01, 10, 5)\n",
"for theta in thetas:\n",
" point['sd_log__'] = np.log(theta)\n",
" x_star = x_star_theta(point)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"26.5 ms ± 7.72 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"thetas = np.linspace(.01, 10, 5)\n",
"for theta in thetas:\n",
" point['sd_log__'] = np.log(theta)\n",
" x_star = x_star_theta_pm(point)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.20048842, -0.40445448, 1.9193369 , 2.04288472, 0. ,\n",
" 0.22292061, 1.65783328, 0.73727834, -0.50997602, -2.46059852])"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_star_theta(point)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.20048842, -0.40445448, 1.9193369 , 2.04288472, 0. ,\n",
" 0.22292061, 1.65783328, 0.73727834, -0.50997602, -2.46059852])"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_star_theta_pm(point)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"Htheta = pm.theanof.hessian(model.logpt, vars)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## An approximation step method that could be combine with `CompoundStep`"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [],
"source": [
"from pymc3.step_methods.arraystep import BlockedStep\n",
"from pymc3.model import modelcontext\n",
"\n",
"\n",
"class LaplaceApprox(BlockedStep):\n",
" \"\"\"\n",
" Step method that approximate a node using Laplace approximation\n",
"\n",
" Parameters\n",
" ----------\n",
" vars : list\n",
" List of variables to do approximation over.\n",
" model: pymc3 model\n",
" Qtheta: Precision matrix of x: x | theta ~ N(0, Q(theta)^-1)\n",
" \"\"\"\n",
"\n",
" def __init__(self, vars, Qtheta, model=None):\n",
" model = modelcontext(model)\n",
"\n",
" self.vars = vars\n",
" self.m = model\n",
"\n",
" varnames = [var.name for var in vars]\n",
" extra_vars = [\n",
" var for var in model.free_RVs if var.name not in varnames\n",
" ]\n",
" self._dlogp_d2logp_func = GradHessianFunction(model.logpt, vars,\n",
" extra_vars)\n",
"\n",
" x_approx = self._dlogp_d2logp_func._vars_joined\n",
" with self.m:\n",
" Htheta = pm.theanof.hessian(self.m.logpt, vars)\n",
" pm.Deterministic(\n",
" 'x_approx_sd', 1 / tt.sqrt(tt.diag(Htheta)))\n",
"\n",
" # I am not sure if Qtheta is really necessary ???? \n",
" # seems the conditinal Hessian return above is already Q(θ) + H(θ) ????\n",
" \n",
" pm.Potential('x|y,theta',\n",
" pm.MvNormal.dist(x_approx,\n",
" tau=Htheta).logp(x_approx))\n",
"\n",
"# pm.Potential('x|y,theta',\n",
"# pm.MvNormal.dist(x_approx,\n",
"# tau=Qtheta + Htheta).logp(x_approx))\n",
"\n",
" def dlogp_pm(self, array, point):\n",
" return self._dlogp_d2logp_func.dlogp(array, point)\n",
"\n",
" def d2logp_pm(self, array, point):\n",
" return self._dlogp_d2logp_func.d2logp(array, point)\n",
"\n",
" def x_star_theta_pm(self, point):\n",
" array0 = self._dlogp_d2logp_func.dict_to_array(self.m.test_point)\n",
" sol = optimize.root(\n",
" self.dlogp_pm,\n",
" np.zeros_like(array0), # array0 or a random initial point for the solver\n",
" jac=self.d2logp_pm,\n",
" method='hybr',\n",
" args=point)\n",
" return sol.x\n",
"\n",
" def step(self, point):\n",
" xmode = self.x_star_theta_pm(point)\n",
" point = self._dlogp_d2logp_func.array_to_full_dict(xmode)\n",
" return point"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (2 chains in 2 jobs)\n",
"CompoundStep\n",
">LaplaceApprox: [g_mu]\n",
">NUTS: [sd_log__]\n",
"100%|██████████| 2000/2000 [00:58<00:00, 34.05it/s]\n"
]
}
],
"source": [
"with pm.Model() as m_la2:\n",
" sd = pm.HalfNormal('sd', 1.)\n",
" group_mu = pm.Normal('g_mu', 0., sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index]), observed=Y)\n",
"\n",
" step1 = pm.NUTS(vars=[sd])\n",
" step2 = LaplaceApprox(vars=[group_mu], Qtheta=tt.eye(M)*sd**-2)\n",
" trace_la2 = pm.sample(1000, tune=1000, step=[step2, step1])"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"x_mode = trace_la2['g_mu']\n",
"x_mode_sd = trace_la2['x_approx_sd']\n",
"\n",
"g_mu_approx = st.norm.rvs(x_mode, x_mode_sd)\n",
"\n",
"trace_la2.add_values({'g_mu_approx': g_mu_approx})"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12fb60630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(\n",
" trace_la2,\n",
" varnames=['sd', 'g_mu_approx'],\n",
" lines={\n",
" 'sd': sigma,\n",
" 'g_mu_approx': X\n",
" });"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122c7bcf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_1 = pm.summary(trace, varnames=['sd', 'g_mu'])\n",
"df_2 = pm.summary(trace_la2, varnames=['sd', 'g_mu_approx'])\n",
"\n",
"x = df_1['mean']\n",
"xlower = df_1['hpd_2.5']\n",
"xupper = df_1['hpd_97.5']\n",
"\n",
"y = df_2['mean']\n",
"ylower = df_2['hpd_2.5']\n",
"yupper = df_2['hpd_97.5']\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.errorbar(\n",
" x,\n",
" y,\n",
" yerr=[y - ylower, yupper - y],\n",
" xerr=[x - xlower, xupper - x],\n",
" fmt='o',\n",
" alpha=.5)\n",
"ax.set_ylabel('Laplace approximation')\n",
"ax.set_xlabel('MCMC with NUTS')\n",
"ax.plot(\n",
" [min(xlower), max(xupper)], [min(xlower), max(xupper)], ls=\"--\", c=\".3\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Another example"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"N, M, sigma = 500, 20, 3.5\n",
"index = np.random.randint(0, M, size=N)\n",
"X = np.random.normal(0, sigma, size=M)\n",
"Y = np.random.poisson(np.exp(X[index]))"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (2 chains in 2 jobs)\n",
"CompoundStep\n",
">LaplaceApprox: [g_mu]\n",
">NUTS: [sd_log__]\n",
"100%|██████████| 2000/2000 [02:19<00:00, 14.35it/s]\n"
]
}
],
"source": [
"with pm.Model() as m_la2:\n",
" sd = pm.HalfNormal('sd', 2.)\n",
" group_mu = pm.Normal('g_mu', 0, sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index]), observed=Y)\n",
"\n",
" step1 = pm.NUTS(vars=[sd])\n",
" step2 = LaplaceApprox(vars=[group_mu], Qtheta=tt.eye(M)*sd**-2)\n",
" trace_la2 = pm.sample(1000, tune=1000, step=[step2, step1])"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x158652b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace_la2);"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [],
"source": [
"x_mode = trace_la2['g_mu']\n",
"x_mode_sd = trace_la2['x_approx_sd']\n",
"\n",
"g_mu_approx = st.norm.rvs(x_mode, x_mode_sd)\n",
"\n",
"trace_la2.add_values({'g_mu_approx': g_mu_approx})"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [g_mu, sd_log__]\n",
"100%|██████████| 2000/2000 [00:19<00:00, 100.56it/s]\n"
]
}
],
"source": [
"with pm.Model() as m:\n",
" sd = pm.HalfNormal('sd', 2.)\n",
" group_mu = pm.Normal('g_mu', 0, sd, shape=M)\n",
" obs = pm.Poisson('obs', tt.exp(group_mu[index]), observed=Y)\n",
" trace = pm.sample(1000, tune=1000)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x14712b198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_1 = pm.summary(trace, varnames=['sd', 'g_mu'])\n",
"df_2 = pm.summary(trace_la2, varnames=['sd', 'g_mu_approx'])\n",
"\n",
"x = df_1['mean']\n",
"xlower = df_1['hpd_2.5']\n",
"xupper = df_1['hpd_97.5']\n",
"\n",
"y = df_2['mean']\n",
"ylower = df_2['hpd_2.5']\n",
"yupper = df_2['hpd_97.5']\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.errorbar(\n",
" x,\n",
" y,\n",
" yerr=[y - ylower, yupper - y],\n",
" xerr=[x - xlower, xupper - x],\n",
" fmt='o',\n",
" alpha=.5)\n",
"ax.set_ylabel('Laplace approximation')\n",
"ax.set_xlabel('MCMC with NUTS')\n",
"ax.plot(\n",
" [min(xlower), max(xupper)], [min(xlower), max(xupper)], ls=\"--\", c=\".3\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Next step: INLA\n",
"\n",
"- Blog posts and tutorials\n",
" - http://www.flutterbys.com.au/stats/tut/tut12.9.html\n",
" - https://www.precision-analytics.ca/blog-1/inla\n",
" - http://www.martinmodrak.cz/2018/02/02/a-gentle-stan-vs.-inla-comparison/\n",
"- References\n",
" - http://www.statslab.cam.ac.uk/~rjs57/RSS/0708/Rue08.pdf\n",
" - https://arxiv.org/pdf/1604.00860.pdf\n",
" - https://arxiv.org/pdf/1403.4630.pdf\n",
" - https://arxiv.org/pdf/1503.00256.pdf"
]
}
],
"metadata": {
"gist": {
"data": {
"description": "Documents/Github/Human_Learning/Miscellaneous/[WIP] Laplace approximation in pymc3.ipynb",
"public": true
},
"id": ""
},
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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