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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.notebook.set_autosave_interval(0)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Autosave disabled\n"
]
}
],
"source": [
"%autosave 0\n",
"%matplotlib inline\n",
"import sys, os\n",
"sys.path.insert(0, os.path.expanduser('~/work/git/github/taku-y/pymc3'))\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"from pymc3.distributions.discrete import BetaBinomial\n",
"import seaborn as sns\n",
"from theano import config, shared, function\n",
"from theano.gradient import jacobian\n",
"import theano.tensor as tt\n",
"\n",
"config.floatX = 'float32'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from abc import ABCMeta, abstractmethod\n",
"\n",
"class NormalizingFlow:\n",
" __metaclass__ = ABCMeta\n",
" \n",
" @abstractmethod\n",
" def init_model_params(self, d):\n",
" \"\"\"Initialize model parameters\n",
" \n",
" This method is called in ADVI inference functions, because \n",
" the dimension of parameter vector is difficult to know before \n",
" inference. \n",
" \n",
" d : int\n",
" Dimension of parameter vector.\n",
" \"\"\"\n",
" pass\n",
" \n",
" @abstractmethod\n",
" def trans(self, z_pre):\n",
" \"\"\"Transform variable (vector). \"\"\"\n",
" pass\n",
" \n",
" @abstractmethod\n",
" def ldj(self, z_pre):\n",
" \"\"\"Returns logdet of Jacobian. \"\"\"\n",
" pass\n",
" \n",
" @abstractmethod\n",
" def get_params(self):\n",
" \"\"\"Returns parameters. \"\"\"\n",
" pass"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class SimpleMadeIAF(NormalizingFlow):\n",
" \"\"\"An inverse autoregressive flow: (z - f1(z, h1, g1)) / f2(z, h2, g2)\n",
" \n",
" f[1/2] are MADEs, whose connectivity constraints are deterministically set. \n",
" h[1/2] are the activation functions of the hidden layers in f[1/2]. \n",
" g[1/2] are the activation functions of the output layers in f[1/2]. \n",
" The number of units in all layers are same with the dimension of the \n",
" random variable in ADVI. \n",
" \n",
" Parameters\n",
" ----------\n",
" ns : list of int\n",
" The numbers of units in all layers, shared for f1 and f2.\n",
" hs : (tensor -> tensor, tensor -> tensor)\n",
" Elementwise activation function of the hidden layers in f[1/2].\n",
" gs : (tensor -> tensor, tensor -> tensor)\n",
" Elementwise activation function of the output layer in f[1/2].\n",
" rev_order : bool\n",
" If true, the order of connectivity constraints is reversed.\n",
" random_seed : int or None\n",
" Random seed for initialization of weight matrices.\n",
"\n",
" Example\n",
" -------\n",
" ls = (1, 1)\n",
" hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n",
" gs = ((lambda x: x), tt.nnet.softplus)\n",
" SimpleMadeIAF(ls, hs, gs, 'upper')\n",
" \"\"\"\n",
" def __init__(self, ns, hs, gs, rev_order=False, random_seed=None):\n",
" self.ns = ns\n",
" self.hs = hs\n",
" self.gs = gs\n",
" self.model_params = None\n",
" self.rev_order = rev_order\n",
" self.rng = np.random.RandomState(random_seed)\n",
" \n",
" def init_model_params(self, d):\n",
" self.d = d\n",
" w1s, b1s = _init_made_params([d] + self.ns + [d], self.rng) # f1\n",
" w2s, b2s = _init_made_params([d] + self.ns + [d], self.rng) # f2\n",
" self.wss = (w1s, w2s)\n",
" self.bss = (b1s, b2s)\n",
" self.model_params = w1s + w2s + b1s + b2s\n",
"\n",
" # Masks\n",
" self.mask1s = _create_made_masks(self.d, self.ns, self.rev_order)\n",
" self.mask2s = _create_made_masks(self.d, self.ns, self.rev_order)\n",
" \n",
" def trans(self, zs):\n",
" \"\"\"Transform random variables and compute log determinant of Jacobian.\n",
" \n",
" Parameters\n",
" ----------\n",
" zs : tensor, shape=(n_mc_samples, dim_rv)\n",
" Random variables. n_mc_samples denotes the number of Monte Carlo samples\n",
" in ADVI. dim_rv is the dimension of (concatenated) random variables. \n",
" \n",
" Returns\n",
" -------\n",
" (zs_new, ldjs) : (tensor, tensor)\n",
" Transformed random variables and log determinant of Jacobians.\n",
" zs_new.shape is the same with zs. ldjs.shape = (n_mc_samples,). \n",
" \"\"\"\n",
" # Outputs of MADEs\n",
" n_layers = len(self.ns)\n",
" h1, h2 = self.hs\n",
" g1, g2 = self.gs\n",
" w1s, w2s = self.wss\n",
" b1s, b2s = self.bss\n",
" \n",
" def f(zs, n_layers, h, g, ws, bs, masks):\n",
" \"\"\"MADE\"\"\"\n",
" xs = zs\n",
" for l in range(n_layers):\n",
" xs = h(xs.dot(masks[l] * ws[l]) + bs[l])\n",
" return g(xs.dot(masks[n_layers] * ws[n_layers]) + bs[n_layers])\n",
" \n",
" f1s = f(zs, n_layers, h1, g1, w1s, b1s, self.mask1s)\n",
" f2s = f(zs, n_layers, h2, g2, w2s, b2s, self.mask2s)\n",
" \n",
" # Outputs\n",
" zs_new = (zs - f1s) / f2s\n",
" \n",
" # Log determinant of Jacobian\n",
" ldjs = -tt.sum(tt.log(f2s), axis=-1)\n",
" \n",
" return zs_new, ldjs\n",
" \n",
" def get_params(self):\n",
" if self.model_params is None:\n",
" raise RuntimeError(\"get_params() was invoked before trans().\")\n",
" else:\n",
" return self.model_params"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def _init_made_params(ns, rng):\n",
" \"\"\"Initialize model parameters of a MADE.\n",
" \n",
" Parameters\n",
" ----------\n",
" l : int\n",
" The numbers of units in all layers, \n",
" including the input and output layers.\n",
" rng : numpy.random.RandomState\n",
" Random number generator.\n",
" \n",
" Returns\n",
" -------\n",
" (ws, bs) : (List[shared], List[shared])\n",
" Model parameters (weights and biases).\n",
" \"\"\"\n",
" ws = list()\n",
" bs = list()\n",
" for l in range(len(ns) - 1):\n",
" d_in = ns[l]\n",
" d_out = ns[l + 1]\n",
" ws.append(shared(0.01 * rng.randn(d_in, d_out).astype('float32')))\n",
" bs.append(shared(0.01 * rng.randn(d_out).astype('float32')))\n",
"\n",
" return ws, bs\n",
"\n",
"\n",
"def _create_made_mask(d_pre, d, m_pre, output_layer, rev_order=False):\n",
" \"\"\"Create a mask for MADE.\n",
" \n",
" Parameters\n",
" ----------\n",
" d_pre : int\n",
" The number of rows in the weight matrix. \n",
" d : int\n",
" The number of columns in the weight matrix. \n",
" m_pre : numpy.ndarray, shape=(d_pre,)\n",
" The number of inputs to the units in the previous layer.\n",
" output_layer : bool\n",
" True for the output layer. \n",
" rev_order : bool\n",
" If true, the order of connectivity constraints is reversed. \n",
" It is used only for the output layer. \n",
" \n",
" Returns\n",
" -------\n",
" m, mask : (numpy.ndarray, numpy.ndarray)\n",
" Mask indices and Mask.\n",
" \"\"\"\n",
" d_input = np.max(m_pre)\n",
" mask = np.zeros((d_pre, d)).astype('float32')\n",
" \n",
" if not output_layer:\n",
" m = np.arange(1, d_input).astype(int)\n",
" if len(m) < d:\n",
" m = np.hstack((m, (d_input - 1) * np.ones(d - len(m))))\n",
" \n",
" for ix_col in range(d):\n",
" ixs_row = np.where(m_pre <= m[ix_col])[0]\n",
" (mask[:, ix_col])[ixs_row] = 1\n",
"\n",
" else:\n",
" m = np.arange(1, d + 1)\n",
" if rev_order:\n",
" m = m[::-1]\n",
" for ix_col in range(d):\n",
" ixs_row = np.where(m_pre < m[ix_col])[0]\n",
" mask[ixs_row, ix_col] = 1\n",
" \n",
" return m, mask\n",
"\n",
"\n",
"def _create_made_masks(d, ns, rev_order=False):\n",
" \"\"\"Create masks for all layers.\n",
" \n",
" Parameters\n",
" ----------\n",
" d : int\n",
" Input dimension.\n",
" ns : list of int\n",
" The numbers of units in all hidden layers. \n",
" rev_order : bool\n",
" If true, the order of connectivity constraints is reversed.\n",
" \n",
" Returns\n",
" -------\n",
" masks : List[numpy.ndarray]\n",
" List of masks.\n",
" \"\"\"\n",
" # The number of layers\n",
" n_layers = len(ns)\n",
" \n",
" # Mask indices for the input layer\n",
" m = np.arange(1, d + 1).astype(int)\n",
" if rev_order:\n",
" m = m[::-1]\n",
" masks = list()\n",
" \n",
" d_pre = d\n",
" for l, n in zip(range(n_layers), ns):\n",
" m, mask = _create_made_mask(d_pre, n, m, output_layer=False)\n",
" masks.append(mask)\n",
" d_pre = n\n",
" _, mask = _create_made_mask(d_pre, d, m, output_layer=True, \n",
" rev_order=rev_order)\n",
"\n",
" masks.append(mask)\n",
" \n",
" return masks"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Stochastic Volatility model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.5/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"import numpy as np\n",
"import pymc3 as pm\n",
"from pymc3.distributions.timeseries import GaussianRandomWalk\n",
"\n",
"from scipy.sparse import csc_matrix\n",
"from scipy import optimize\n",
"\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Asset prices have time-varying volatility (variance of day over day `returns`). In some periods, returns are highly variable, while in others very stable. Stochastic volatility models model this with a latent volatility variable, modeled as a stochastic process. The following model is similar to the one described in the No-U-Turn Sampler paper, Hoffman (2011) p21.\n",
"\n",
"$$ \\sigma \\sim Exponential(50) $$\n",
"\n",
"$$ \\nu \\sim Exponential(.1) $$\n",
"\n",
"$$ s_i \\sim Normal(s_{i-1}, \\sigma^{-2}) $$\n",
"\n",
"$$ log(\\frac{y_i}{y_{i-1}}) \\sim t(\\nu, 0, exp(-2 s_i)) $$\n",
"\n",
"Here, $y$ is the daily return series and $s$ is the latent log volatility process."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we load some daily returns of the S&P 500."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.00637 , -0.004045, -0.02547 , 0.005102, -0.047733])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n = 400\n",
"returns = np.genfromtxt(\"./SP500.csv\")[-n:]\n",
"returns[:5]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f76ad56c7b8>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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yY9z1z/WubV2upIxbMKjvVr5zCnZ05RINBgN08IlkBrUxyxpqqo8BKC0AnUtM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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f76ad567eb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(returns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Specifying the model in pymc3 mirrors its statistical specification. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model = pm.Model()\n",
"with model:\n",
" sigma = pm.Exponential('sigma', 1./.02, testval=.1)\n",
"\n",
" nu = pm.Exponential('nu', 1./10)\n",
" s = GaussianRandomWalk('s', sigma**-2, shape=n)\n",
"\n",
" r = pm.StudentT('r', nu, lam=tt.exp(-2*s), observed=returns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fit Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For this model, the full maximum a posteriori (MAP) point is degenerate and has infinite density. However, if we fix `log_sigma` and `nu` it is no longer degenerate, so we find the MAP with respect to the volatility process, 's', keeping `log_sigma` and `nu` constant at their default values. \n",
"\n",
"We use L-BFGS because it is more efficient for high dimensional functions (`s` has n elements)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration 0 [0%]: ELBO = -915563.55\n",
"Iteration 10000 [10%]: Average ELBO = 350.44\n",
"Iteration 20000 [20%]: Average ELBO = 1120.9\n",
"Iteration 30000 [30%]: Average ELBO = 1143.22\n",
"Iteration 40000 [40%]: Average ELBO = 1160.84\n",
"Iteration 50000 [50%]: Average ELBO = 1175.11\n",
"Iteration 60000 [60%]: Average ELBO = 1182.92\n",
"Iteration 70000 [70%]: Average ELBO = 1189.07\n",
"Iteration 80000 [80%]: Average ELBO = 1195.06\n",
"Iteration 90000 [90%]: Average ELBO = 1200.68\n",
"Finished [100%]: ELBO = 1217.97\n"
]
}
],
"source": [
"import lasagne\n",
"from collections import OrderedDict\n",
"\n",
"adam = lambda loss, param: lasagne.updates.adam(loss, [param], learning_rate=0.001)\n",
"\n",
"n_unitss = [500]\n",
"hs = (tt.nnet.sigmoid, tt.nnet.sigmoid)\n",
"gs = (tt.nnet.softplus, tt.exp)\n",
"iaf1 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=False, random_seed=0)\n",
"iaf2 = SimpleMadeIAF(n_unitss, hs, gs, rev_order=True, random_seed=1)\n",
"nfs = [iaf1, iaf2]\n",
"\n",
"with model:\n",
" mu, sds, elbo = pm.variational.advi_minibatch(\n",
" n=100000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n",
" observed_RVs=OrderedDict({r: 1}), local_RVs=OrderedDict(), \n",
" global_NFs=nfs)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f766688e2e8>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YLcMDev/Qc9r7tJ+nB6m8aRHr2z/T+BYxjBuUxc0X92bOnbmWn+cBh5E0ANdO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\nIIQQQlj6fwtROijyW2joAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f766686f8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(elbo[10000:])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We do a short initial run to get near the right area, then start again using a new Hessian at the new starting point to get faster sampling due to better scaling. We do a short run since this is an interactive example."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
"100%|██████████| 2000/2000 [01:49<00:00, 15.75it/s]\n"
]
}
],
"source": [
"with model:\n",
" # Start next run at the last sampled position.\n",
" step = pm.NUTS(scaling=model.dict_to_array(sds), is_cov=True)\n",
" trace = pm.sample(2000, step, start=mu)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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YLJo7RGevD7vdlvC4ZhhHax9ul5Pm5mrcx8w2Yw5HbuM1VcbUfayfoKW2rKS8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\nhaJD/D9mvSVMa3fwXwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7666834f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(12,6)\n",
"pm.traceplot(trace, model.vars[:-1]);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7661beb780>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dLPwKlH9H/DLfNFGdBvXMM6h5UUV2iSL/0qZxHZSrbj9Au/DX9QIw3UioiNSa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VbwpVXG5nAs9tbhN+7n5cu8llpPcnbWGPW5ubYPXAtfRKMOqNe5ZA/sTXakAucqbRM8IOzYAN8j\n+1T37H3GGFT/zgen9DkNIAE7WrW/jDb2kKG38Wpf4Spn6fUa4KSPk0qXmru5SeZCsQRH3es1gI0B\npDvlbGxC7Y8YMJo/QBRLtrubDrlKC6TFgSpp3Wp4a/u+yuJ7jRT15WWy87UyPGI4faagM2KYoeBk\npfIrsPF6gMjvu900hICH1x4dtWufn8+uFoAetkWR2J//nCyGedSPFXCYmcmDGQBNDlIRUWVdfNfB\nQXaEoTmWitzdHe7GUQ8YwVpfXSX7aq3pXOEz3S+HD9hGtPf0+8MsvgyIVO3tbXa/weIz/svLGQCs\nrmYGA4tbDzupDur4eFiDD6hbDzTii4vpiEiNBKvS0ZVF1h/XerBnBSSKK7FcrntmJudWVwDrvbb7\n4/zq57IBdV/MzaUGNSL3BCZflxeyIOz/5mb7LC0NybdorDG0Ainslj1tTtlRgIHuVsAA3LFh5nFu\nrn0Gu/K6YY5HHT4QVXXV9Zl4DjIupBPmxzxW9hHLGzEsI/OMaytFz7ay34Dvm6bRPTNygbve6znf\n3g5fn2uKyACpSq329prd3d8fBnQySGy/rJhCW4E7ZnRnJ4FbLaAeDFIzbJ2w4WzQ7GwytXT5t7fZ\n85rUA6jVsYctEhDwNYNBHsLklNPV1QTBCCPPRPC9t5dEgB7x9oFMlTWJETe37kf9Bvb4z39uTD/5\nWO0a1OlkL+6VlVwngjg1FogxNtE6iMg1BXQjrsi6dCqrWbIqrbIHZFVkfKpMh91E3Ny3y8gYVI/H\nZzvq4h5ldetxsMAhowLYcMaMf2VPgQYsVGUh19eTfWGksGP630ofSq8BoNLrmIbK8lRtNWNPG7ez\nkw4fK12ZUlIFBVKMfdUDXl018HBx0QA7A89Izc7mEer69XKO5oUBpnUzf8CZa/IsMDu0nNgigLsG\nA4y0Qj7HZZPwAAjazz14kM+hHj/tKHHSC4WdmO/NzWbEl5fTCQqmpGwZXUAdgAbysViViQJ+ajGd\nIKwW/HIetILWgGJaWu5ud/j4a/MLwEYk+wI0VkZ1YyMZd0FW1apvb7fPkPK2XgFoAc/tbZs3jLqg\nRWrbazjEuoccA+4+MMkcvtMhBVu6cERkqlUq2xze3qYmU5BB3ylw1lve+qxssIJiwS+GFusGZAv0\nHNQDbFljWvWdnGQ3FSCaTpVcoOrK2So2oYInbdpk10hEXJsgtdqvKv3wczYJ+84Gej05CRvJfow+\ny5ubYRnd/n77/uXlBB8AiOdEliDwcz1Al+xdBTuG7ybnsGYB0RrsC7T9jsTJ+wU8AjK2ZGYmpRRk\nDUdHeZCLGoS6Vj17a6vuvSqNIavq9ZqfiEhgur2dmcPRZ8i2yEwBc2QfgPbaWvvd9nb7HplJc1yz\nfuwZ4MxvAOU6T/E3P/2UdoCfsb4RWeRfMl/kijTmZBk3NwmYqxzD+9kkzw1LX7NxCJKXL9v71tcz\n43Jx0eaCTUHouC62km7eNVjjNatqbdeWhAJQsj73VKWw7zrGoHo8vsghzRmRoBCYri3aajoHu2YT\nAtWYBiyF4gz9cL3WKXIc9ddfN6P37/99M2KcJ+DICYiQMQJLS22T6yrQ7TZjtbTU3ivVhR0ATgUN\nl5fN6WEca7GF9mv0sTSFHBgWDTCoh4cAKTc3yVhiuBhJfcKBgoh0Qlh3BSbmqhbvYczJGgAioJhj\nHgxSh76/n+waFg6LQ6MqyAAYgWCpTM4dePSMaKQZaWl4n0Gi4Uhx8z872wBjZWWkJAUwnD2GleEH\nXhTVue6Idi01hRqRz2tysq0TzDbNJhaYfnF2NjvZAD2eSe1DXQEk/b5+0oNB+wxslnUB3HLA5CE0\n13NzmVoHLhYXs/DR4SrkMQKPy8t05vYskKgtpvQvPbKiKU7R3nc9VRP+4kXbMwobX71KAMe5RmSQ\nKUtAHw2gReT+tNelqmU3nj/Pe7B2/F07w9AFe/5qMoBr+m37n/YTcAdMLy9zX1bQWlPksk/adRpY\nXe/F9mKFAcAaOJM5eFZVEsZGAi+dzrCswx6qgMtr/b7WbwBkGGhrXKBlnyv8W15uz2xnJ6VNbNDN\nTXs2WiMKVMigBDfmPSIzmv1+sx3sDaLh8LDZAfbd6bjLy+0a7Lfb22zVyZ7u7Q1LGmqf6mrrZeqe\nP2/fLfvjWiOyk9HsbEoAnea6upoBnYOJXr0aluo4hl3djoARIy5bV2U6nuX8fNq7iNwr9kP1pd5X\nA1D7X/CwudkA9cxMZjUF87XuCAllnVZgzW97RuYRwK4YwmfU9XWfMQbV4/FFDiCpajhpsqTJpDRr\nsQJJAY0qgM15MupYLs6E09ncTCeyutqMyR/+kNpgzN3tbQPNVb5SWd6Li+boaauBAp/NsWxvZ1cT\nhgGIAAId+14LM6r8RNGcghgabeBKu0FaQ0xaRDpu12OuawoeaACIASWMpKIRMg0OCLDAhlY5DWDo\nsIVer2kZtT0DnGqRo8I0BUY//ticyMpKtr+io8XakwxIWct41IM7Dg4SCHA49P21WKhq6AE1/+a8\ndnZy7hQCYd0Ec5OTyQBhB4GKWryL9dIZw314Fk6ApLe3PskYANTr6+xsoNsKxzQ7m6BWACCoWl5O\nuUm/3/5g2v7ylwRe9J5S995PWiQ9PzmZ+k5g6fo622bSxNdnANzv7yeIxm4Br+aGc60ZIOv+L39p\nP68BiWwOJn53N/Wu9KT0qdaOg30UDtcCQkwiDTapVu12g+G31vxNRiTzoZ7AMwTIFNsBHdbm6Wlm\nrLCk09PZalBgJWVvfbs+GlxBmICh2grzbk12OrmWSBgE8bSt7oFd8JxkHMwJyU5tKQmUsTnmv0pT\n2CLBOYkLFpi8QZbPvvTcrNX9/TzLABiTuapZS+9XjHp62jpB0Rh7NubU93gvyQo7Anhjpp0WTJol\nALi+bnaR3bK/9dNnTxQtykqRk7CZ/KSAt2ZN+Q+fpUB6aal9p2JvdtZ7ZB4EPhG51tS4CHh0Pjo8\nTPki/ThSRYAE1COI9vaG6ydqvRh7WLPbpHu1dmOsqR6P3/VgjAA9umqbBBOH8QN0sJRVTzw31xyM\nrgcc7GCQQAUTApQB34uL7TO0Soton/X99w3YSV0pIAGeRPajrQUxj5hGTGiVhGxutu/GKjEGc3PD\nhWTkLbe3jc1YWGjGChADlKemUgYB9AITgouIYT311lYabel4zDANMFYCOIxIzXjtP8zIcbRYU1Xz\nZBoAwdlZSxeSkVTZD70uxodm7vnzBFibm8mikAVVvSPHYZ4i0qFGDKehMadAKP012c4ok815jspF\n6MKrpEQwR1YjvRkxDHCBfqBMahSo975+P58xEOY0ORIIz3lmJoNPIM2ekx2xtq6uWuYG6KzsLrY5\nIrWbtW0XRnphoTlo4FlgC1TXIlqO2Pz6Ds5T8ADkTU3lWpIFMSqww8ZWSZSfWQPb25nt8GxnZ7NA\nETP3/feZvfJ9ngltv2wFW8Ve1U4vk5M5B3qDY0ojUpcKfLifiJTVsDWCT8DOWgF2ZYf0ZQaKBWpI\nBq+TfRAoknBgugVArrlmvc7P86RO32U+t7YS/KmnUCNjHkbJioi0BSRWdMQVhMlOmTe2xrXrwCHg\nODrKYN39auMp6LZnzs+bXarSQZIz2c7j47Y+kQO1fen1dVv/c3N5KBn21hqsWcRqD7D9mFd75T/8\nhwzwBDbm8vS0ycj29rLvfb+fz4iNA0j5BGCe/lrmta51hzLJJAiszYs1ENFe8w//0F7PJ5kH67PT\nyTooa+70tF3v/n52Q0JCLS5mgErrzycKPtynoAhJcp8xBtXj8cUOhsGwGaverjKqjBBNMkPvd1Kv\nOjlggRUR6toh7dbppM6SprTbzTQa1s3GJiWQLuPgGLkKTLe3U+ctPUwv1+ulZrIyob1eHioj9Ybt\nwVYxhgsLwwx/RLJ92G7tASOGuy8AcXr/ShWSA9AOc6CAKgNZ54+xAzTJLH78MYMF84RV9tlasum2\nIb3P4dQiJI5Aar32c3bYz+5uXhcwSIbgOgC0CpQjks2lBdW/FoAUKNUAQ2EmYM7hYOYjMlMQMQxE\nBWnYccwy3To5FNkI9l3RI+fk8zlLYGpmpqW1l5ayjaRnB2wDsvbS4mIDFGQpwJv5EXhUfbN2l+fn\nmbbm9GQCrPP19QQj19cZ1CncNa/Anfu2RwSeslf0pg6U0iXIs9K1AKMWkafq2WMyMKQbmEBzUJmy\njY12vY5CV+gpAAIw6EbrmvHHnJ2c5Dp59CgDDHtLRgpDa93YD2Rm/X5es1oKQSumULq/XhN5WZVu\nVZCHMYzIfVc18RHD2mhSBwGJA0FkUq6v29zXVL5notuLvuRY1HrCqAwFRpYe2Lqs8q7Z2TYHL17k\nOq3sK3Kl+pWXL9vrFhaS6Vcro7icDIou3zoRdHS77Zli1mUiZWJqBlZ2015UfE9mh10XLFxdNX9E\n0lUlcDp4vHiRz0kAgViQ2UDk+D/7gdXu9drvNjeH6x3UkiB9Itp3qbWwLthfNqlm1mT2dDkRLCKr\nBMPqXiIyG8Gm8A2uDbFS56PWALzL+Oig+smTJ/9dRPyvEfH//ccf/aunT5/+bx/7OsbjtzlqKq1W\n2kckOI5I0MI5cAY0gaOFXDqDcIaMQJWfbG42x7m01AxUv99At1RqRKatIzJlC6BKbzGeGDIgqrJA\nDJU0IEOD8aUZxeRwxpgKMoLZ2Uz1uS7gDWjAPnDWtWcv8MThRiQTyqACwKr2gRgyBm30ANWLi8au\nnJ2lLGdqKgGoAimOXsBxdtYAMmZJhTsAFtHmC7MOGNI9uu9aMCgljfmSipWOx97IAJgzgYQiOMzq\naFFRLaSVlhwN8jwTQVJlyYERulTSCc6R1nxiIjsRCPAwUICL63KamaJdoFE2owYwAjogAbNMv0uG\nUR0o1nRuLlsXOiJdYdTiYragBJbUEQC8GF17ikwCU8cGCFoFkl4Xkbp+AFiWwTyQWVirNdit+vDp\n6fa78/MskLWmgUNBJGBIk2/eaKNrHYbguPa7Ftx49sCQ768dY+xz1w9UAzZffdXuQ8C9uzsMlJEQ\nvlMh4MVFFsIKSByIYq2srmawbD4AWQEzedDhYdY71AJma7PXa3u4anEjMljY2UmSRIZKVkonIxkf\nwTBZlPkRHHr+5o50g427uUkZRi1w3thIDTjt+vZ2+w4aa8+HxINdUyeCJZcpe/AgbYQCaa9xrbe3\n2aLPvZBAYMWBUj7C2NrKdoH2BGBMOiX7gTAyr8+epZRJlrQGMrTrtNxsqSBtdjYlVD6zyub4pH/y\nT9q9OpG4djuKyBqX5eW0i+woCYraKdlGIJpv5odlQu4zPhVT/S+fPn36P3+i7x6P3/DQfqcOLCAW\nltMFmmuLKAWHEan7YsCur4dTnyJsTpkBX15OVmBxMTfpzEwzNlgkzCFtG2fGIT14kI5tYyOZc+nN\nw8M04ECigILjBHhGOy3QiNKoMcZYgu3tTI8q0qnFYiQRldWOSEMPfAGgZDec5v5+GtqTk2bY6egO\nD9v/a+q+VmyfnWVhUUQGDmdnLeUOlHpWWOnJydQXul9/gB+GVkW8NaCFFqkEJyygqlp8gOD6Olvg\n0XrSIZorGleBnWepcHBpqc2FrhwRCehlaRz3bR4wPO4/orGZCo60HNzby5S+eXz4cFjuEZGsNsel\nLZ5rcQ1YNc7M+zg0AGhxsTlH90MaglnHKtW6B0yztnMPHrR7dpKkPS7Fba8CqbIOgBzwbH/o/1tT\nw/az6+r3U4OpK4X9hi0EGgeDn3cbwl7XAlb9tIGV+fm2b2WkdG7odtu8CQoPD9t8n5zkCXrn59mT\nWMYBqK16Vvpqumckwd5eyidkFTDw9LsCxRoEytyMFlbu7CSTqL6l2lNdL8hLgCvyOvtFgODQkP39\nJBM8JzUttLmAngyMLIJ7mJ7ODiA1c0EipiYEQK39u+nWIzKAry0wDw/zme7uDhMW5ox0hnwOMyuA\nEEyYA2RLvV7DPAOP7LP3kGLxEdUPCkbX1jLgfflyuAf//n6y9AI/shZ+c309g84DEXsAACAASURB\nVAVdTao8yv36t2CUTzCfGxvDzx1rH9E+99/9uxYIksAA0ggmwVqtMTF/VbcvK8E3IVp05LrPGMs/\nxuN3MUTndHBYTilhv2fwgeFalS9Fe3ubB3vMzzcDtLo6LG1QFMIh1B6YAPlgkJXdtVWQiuXFxWSC\nFxeT9aQn5MSB4ao1pA3v9bIIbDTNResGQAJCnBzmGQgA0Bj31dUEGIpddDx5+TLTnKurCSSvrxsI\nAOSnplqvU9dBo1jZBCBSqk57vOnpNM6eJ9BdNbaYr6oHd380fMA9ttoBQBhebJ3jgjkU3S/MrWK5\niHR8rkXwRCfrM+u11QEES81bc9iUy8tkks0t3abX6sbx+HGy/8vLmf2Quel2G/DGLtN0A+gKKbGa\nEe07gHJOzsBYA6uyFevr+R5Mk7UH1Er52nccvmDm6qrd4x/+kACyFslxpq5TcIjx1aXk5iYLJ/2u\n9r89OEgmGdDBwmO27XWBnzn7x/84GUcBX13POvWQRykqpnNX11G/i8Zep4d+P0G4YKEWqsrSAP3A\nhqwGYKRV4+1tFgJiztkgwdrFRXZyoW29vEwWdmoqA4qtrXa9/X57PcZffcjcXGYmpO5ll8wbe6qA\nTY9kOmnaWrUrNzfZnrTa9ZOTtBWyXHxB7aDENtALIy7MpUwPhtszEZgLRM7P8zqsJ89RgbbCPuBf\nAGnNChQFmJhs7eEicv2xAYAqPbTvmZtLdnx+PrN0tOMIH1nEFy/Sz0Vktqffz3oARYbun62tsr3a\nrpKMbX8/fQP5Sw3ekAUCxc3NDPTd0/p6Bpm6E3k/qYy9xj8IGvwOiSWDos7kSwXV/+WTJ0/+r4iY\nioh/9vTp0//3E13HePwOB/bIRgMsItKp2Vzdbqarqv669rgeDJLJwP4oyOKYMWKa9GuIPxgkiHFg\nxO5uc0iiaM6VA8NoYOF0bri8TL0wQ03jd3WVms6qk768bA6pSgWqI4hoRs3BIBgBzDMWANCrramO\njhqAw+LVtPXFRRbf0DfSfev9ywFiG6Q4q/6ydhMAam9u2vfe3DTAXotVgGVOsN9vr3UN5gbYpp/0\nM+wfJ+yP547Vmp1tjkkxmkMiKnAT6HS7DVy4DyxrdeI10AOoaxeDTqetpypx6HYTxCrioTk/OcnD\nY05Pm2MdDBqwJpc5PEwHLLjwx++qRMn8Sx3X1D5AQ/6ytNRYcfOmuIskqttNBlbwZD/ZLxMTjbGW\n6o5I0CZLgkWTXaKbF/joMUweUjtpAB0ROfeCO1p2GS8BAuD38mWmt2VfFNvZZ5ub+e9abMuW3Nwk\nMy9wq+0DyZOsI/vB+yYns3iMfEI7PO87OsquC1hodk73kwr2r67aHPpMcgQBjII+a3Nxsdmdo6P2\n/YC/eRGcYiZfvcpuPQIx94pBJilgny4ukhEGlOt6pKN3/wcHGSgiTYB+9oZvQKSwcbIugnK2TFvW\nfn+4WB4Dbh6xqjIQQCHSpoJKawWRUyU9NOc+r/ouwQU9tGepc5JWkVdXP2fMEQbqIaamcu3v7rbv\n1mWD1NAzFEzQ0KutQSCQGCGPSPRkNwRqlaDwXNgfmUaBujn23TJqdX4FJKQgAmoyKQEvQP7w4TtD\ni4j4wKD6yZMn/zQi/vuIuI2Izn/8+/+MiP/l6dOn//eTJ0/+i4j43yPiP/2Q1zEe43HXwBpyMJwx\nR6myOSLTjVqiAbw2rSIYxgtDUouKbm+bw3j+PB0UzWZEGmwV04piTk+zgEVPZvKAfj9PDmSEgS5M\nImOMEZNOc38ApflQpDk11ZycFDsjF9E+m257ZSXTyZgOc+R7FdtcX6c0YWcnWwFyzlLiS0vJipJg\ncJRYGkxSRDK6gI9CPTrNiOHCKEyNYqra1aPqWnUAwJp4JhFZZe5Z0RjT+MlEcBAALalErUgHnrD/\n0peKlQB5LBT9JwYTuKQvlT0ASpxe1umkNt1nb2xkEa41BDguLiaDtrSURVyKlBR2YZoVxwHfCgbN\nKSfZ6bRgRdCI9ez383CN5eXcS4qkzIWgCChWXMWRAwACocnJFjBEtGtQwyB7RPctoAasARZgxdqu\n7KTfW2cHB61F3+pqMt4CbhIhYE+Gir0gfcA0Tk1lD2Cg5/w8D8chqdCR4uXLYYYWE/fqVTK8yABg\nY2srQSJAUwsgBR26VVxetuf01Vd52NL5eergZdAA7R9/TBuAVWcv/Rx7CKAB99YvIAk0swknJylN\nY1Nd//R0ZqBon2l4fWfdm56f96pNmJnJuouvv87ABaB07fW6at1FJQIU1718mcHsH/4wrPf2feyE\nOUHOyDoIBrD8GF8su0DPdfEXgjIAGoFj/fON9p2soi4ktPXYXqSPfcWORiSjbT0D4oBxLYC1PrDj\ngv96gBKZkkyFexXAVp+7s5O9rkm6ZEns/dqb//Cw6cS/+y7uNT4oqH769Ok/j4h//gu//zdPnjxZ\ne/LkSefp06e3v/RZ6+v99359v9cxnsvhwbD6tzQV/Ze0l1OhFE0xlF9/3Y/nzyP++Mf2muoMMCsM\nBN3q1lYWXCk0BATn5xPULS21jS7VqVWS1NrXX2fquGrMarEapubqKr8HQ2hMTiZTB5RjQDHjnDed\nKfZmVLO+tNTmizMdDHJeadaBv4uLLOIEAGZn+391+lWjS8MMrJ+cNECIkfMaBVMYmmpQMVyPH6cx\nxlTIJCgIWltrLKfvq7rUo6MWTHB2UufYoIj2fi3sAAUODpvDOQlWSDO63QSnHDggaF6A1MXFiG++\nSTmP6v7vvsMQ9ePhwwxcVlezaJEzJfPA4K6uZpcaWZI//jGlDNvbKRdaWcmuHGoKFhbadWFofc/C\nQlvP5+ftfY8eJRNHRkJru7GRIAJQEUD8+GOCFC21BCoRGWhauwIMrKDOLFdXeZDPwkLLLtTjky8v\nM/BrRY39mJnJ4l5aU8E1JvTkpIHOymoKOBRHWcv2uYBTMBKRxXp0w/be0lLKoDDLvsc+EawJZGRm\nHABC1lI7TlxepsTp6qqBcYFVLeLC7CtgFiyurWWA7nqePWufu7zcnturV21uWmFo/69rfGenrQnd\nHiLSPniWdS2RiyiEk8Wx92W/ajeQmsFYW8sCZAEw3XG1c9bfYND21IsX7R7YcllGcrEqI8GAkgKp\naVEg/o/+UQztTVpuHZ6Ae5kKwd+rV+26tAgUtHY6/b8yuIJkgeHVVcq72MOIzIxp5ckuIgsEyw6Q\ncj3WEzDLTrvf6emfF50C0RE5bwgOtSTakmKTDw/b93/11XAWUwaAfSJ76nTanGKu7WOZYARJRO6V\nKnfkj951fHT5x5MnT/5ZRPzw9OnTf/nkyZO/jYjNXwPUERGbm4cf/uJ+B2N9vT+ey7cYHI0CQz8D\nZB8/bvMJiNd0KWaLExARKzZSxV1Zq93d9jnb28POTFs20opOpxnWWoBXq9RrwY97wHaurDQH9uJF\nFopEZCEZdhzrfX2dRzrPzzfnuLXVrmt1tbUIwxbd3DSDdnCQjOj2doKrq6vG4pFHaNfE+M7P92Ni\n4jDOzto1YtaB+qWlZMb1hJV6lV7kNKUKdUyYnc3iJGlNKXDpw3r0NYBWNahYHo6x9jqnp6wFRZOT\nwwVuHJc06mCQvc4916OjDKwuLjJQ2t5O0OC1g0EDn0A45tUzXVzsx+5uW58Kib7+OlsLSoO7psoa\neQ3n+uJFzol1LTvw6lWyQ5gzDp3e31qrDH0tHK6Ole7f2qtdGWihdbvAOFX5g2AQGyZdDLzriIOZ\ndzJj1eDSxLrGbrcfh4eHf91zJDgOZNHBgf70+++TUVxfb/vCXCu2kwkTZF1d5RHq3W579iRjz58n\ncLm8bGCVRAIjTvb044/texUAkkcAiNb08+ftz8RESrPI3v71v87Dk776KosqsZayGWdnGVhiag8P\n2z3u7mbBtHaRDntaWenHycnhX3s3A872jpS9NYBhv7zMIEGLOgGLlP7BQX7ewkLKmYAuEhgssuwh\nW+F6z87yGbIRVS8tg0lOZS3T9tfuIBHJ6soCKXoUqNZ+5vq824tkPrKk1rJAY3Gx+SIAkdZYBnJr\nK4MW7LROKda06xG4P3+edQfAunahVassmAdszQGfMJptRPJguv3curGWqv3lW7Hu5mF3N4+gR17o\nO02/7Xpo/n/6KWVutaOOTOmjR+9OPH4KTfX/ERH/4smTJ/9DRHQj4p9+gmsYj/F4o4GBANQYNppm\n3QIUUQEDNjgGZG0t055SUAwwQ8AxAAv0ZZwJwMgAcSILC5nSYrxomitLsbzcPmd7uxkielypbqk3\nxo0WVlpQihdY4bTdC6Cl3/XZWTPi2BQgAkCkVaTzqx00tHKKSDAupei5MN6eBeM5GAzPMbkHEFC7\nfpgfLau0dsMGYjOBiF6vPUv3RgdZdZicde02YQ4FNysrWcz67bfpPElWansr19DrpTMFWiPatWDk\nBXDm0kmHTpNbWGgsfS3sxNZUR4wVn5zMwrP5+VyrKysJnmVnZmay24nshOuxLl2Te/H9AC5WDOjF\nLI6mpaXoyU9kfUg+OF/67ZWVNq8CzapD1qrPvQA71ovrsc50pvB/TKjuFJgvAJ8EANPnPvW6rv1z\nrTGByN5eSj6qxEFw5XXuVbtCe8YJfVon6qhydDRsB7QLtdYrICQDA44VEloLUvrkIQJgx3QvLSVj\nrxA1IoGyLESVbpkj9++67Hn7ISKfl70nu0jeoe+2IHQ0u2YfAafY7YjMTNmvm5vJvJLqyUKQ6QjK\na0cc9SVkGSsrmTWUXdP1yf2RjtViU1k3ASIGWDbDs6MHJyszfwKAXi/XFFvAdrJRAl/SL9r/w8Nc\nC9YjP+kzBHf2/mgmpXa+so9IDvkaskz/x0gL2lZXc68ITKwrLL61aT59XkQGef1+IxrY8S+OqX76\n9OlPEfFffezvHY/xeJdBNy3tWTs60O8B3IAbY8XI1M2vMGNpKQtCsAgbG/HX1LJKbwZcOhsYBBax\nmefnzTAw4Np3AQuczOZmMmEM3Pp6u66trfy+WnDJ4XNeW1vt+6SJGfOrq/azm5thwA5oADJ0kHR1\ngAYHrYVY1fhxOAARI47ZrUAEwO92k2nDeNNEV323ewCupOcBnoODdt2DQVad1+4DeslWpk9xK1ZR\nUZauJbe3TU5BOw5wcfLSlVUu8NVX7XlsbWVqWgcJz1rquhaW9nrt2nUFURwrlUoWAURiQ2s7uoh0\nmACx7wFGPCfMaUQyxjpeANqcse+qa9T8KLjjLK19BXsAugCH9lQRFn0/IGxNW2eK7gBRWlEFstZK\nkylk94t62qasjmcn8Kt6UQVQ5EURuX93dxN0Xl+3bIDADpit7Co7hJXGNgI29pZix4hkfUkeKiOI\nRQUeaZDtdax6zV54bhj5iDx4RmG25y2j0+u1e1lYyP7cGFHgXQaGvWE/gVSyqSpxon+3jrzWMxFE\nCeBpit1PlZVVGVJEHnkvWKyFjCRiwLGA2JpHvNC+m/+bm/YexbPat8ogOgBJJkPtCWYbMSFo0TGH\n7IqsxzpZWkp7KJtq7emy454iMhCxT0naBJk7O8PMrsCa/e31WkYGs21NKtz96qv2PXzqzk7bc6Qq\nEZnhlAnjb+m1MeKbm40gcG5C1f/LgMoCkmednTWWuttt/pb9ZMfY8vuMT9X9YzzG44sZnCXHSWfG\nkNBiSfUDz9fX6Zzm59NhKRCrgNzfeoDS31V9MGMJdGIwbm6aUZXS05fWtTMmu7sRP/yQbEpEsnvY\nGyA/IqUKOzt5H9hxTgKzimkhk1BsiGVi8GhR6b7JDTCtHDn9NwciLYqNrQcK1J6t5plzdeKf+/Ic\ntRNTUAdUuybfRduJ5frmmwyoANC1tWwjGJEHozhBrKZHAdKrq2w1JpCZmspe3Ts77bOqplKAQNqi\nMBHgIiECnCNyjfn81dUEJJyW1o+Aj04xNJ2yKebFUCQE4GLRK2tVHZTUvnSvdWBOanq46szJSLBM\nZBrWTb+f9wzE208R+T016yKlTBIAHKyttd//8EObg8qgKhwUACmUFTSurOQ6B+oHg7ZWHawSkf2S\npcbtI50dNjdTI0oCYf1EJGCTEQKsNjaa5GRrKwNQgYSU+/Pnw8GENnhAYwWlMjmkSqQE9lJti+hU\nPnIh2u35+ZRqyJb1+xnYv3qV+xw5sLCQRdXWr/1WMxakLZeXCTZrPQI7xpYIFAW6gKXgB3FBZkD3\nrkiu6outrW63PXd9jhUjA3OyIfaSbIEA3hkASAWSK8XiCnCRDLIJtT6jdvhQQF57XyuSNZe1M4ka\nBvaeXbbHBODqctQPLCwk8TM3l21TBem1Owr7IzCtNl0gHZHt+tgNAH9hIbOj29vDrfemp7OGgyQF\nm80vsHGnp9k20HcLqLROrFmKdx1jUD0e4/GGg96ypo5pFCNS29nrpTMCLiYmWpS+t5cbuKYMOe/K\n9AHT2lQtL6djwcoyxhVUA02a2WO7KrNRwRhmACBSHLK8nE5ZWzntlDj/6ensLED76wAAOuuI7NSg\nJyjJAiABMHAAwLaCHUVF2CafX5mMiGT4aqDC4QgMKvtoDrTx0nWiOjbXQO6BIeVosTn9fko9rBGB\nibQ4cBuRB9Nw/rOz2RWgylvopDFS7ndioklHfLbWc1K+tYBMSnZlJZ0P5wRk1mJUxWwCIlKLiLyv\niYlMFSuaFHRG5FwbVaeurSBWr4JvnwG8VYmNlLD7i2jFjiRXVY6k+NZ1Ow0Qm9vvt84LZAndbrLc\nAmDpd3ppzxaTFpHstABKWts9WNfAMSmUfTYYtHUgo+LgEHOhS4bMElCCve31sqgTGNXxAxDCKr58\nmc9MsNDvp+wAS4y9FnzU51S1rvUAFywzICVolCUC0ASMJGqKqgEq2Te27NmzYfAlAGNHzKvAC2FR\ngz1Fsv3+sM3RVpJWWSZJxke2ypzL3rj3bjeLTM2P4Csi1y/5CEkIgF/XO7mZz5f5isi5lC3gV9gN\nwcLs7DDAFRwo/FPnc3OT8jrMs8+0Buxz9yHjpB7F/JgTzL5sIQbc6/k2NoBGu8q71tZyjfFLCuhl\n8AB5QaH5EmzKNB0fN+ZZVxrkD9tkP7MJMgoY/XcdY1A9HuPxDoNhEAUDggwddg2gw7ytrORpgYzN\nzk5zqkdHzahgmOjWqmSCHhFj4TqwP9gJRtBnSOGuriaABtg5UaCSnEBK9/KypSsxWFin8/NWECV1\nBvSQtVS9HGO5u5v9mxlo91ElNpgG1wuE06QvLGR7LDpg3Qh0PfGZ0oBAD6fmPlXiO8CHVKPKZ4Bq\nQAlzpLq8FtwwyjppeIZAPgCp76rnWdnVqvusxYSK1zieiYn2bAQHQBepUKfT1tjycmqLgWip31pg\nJiUsjVzT5ILAGpDJ3tT7dA/+vmvU7MNdw3MGSjhf60LKf1SiZE3pBLGwkIEogGTvyQzZt2QiV1dt\nTh00Imit3TtkDxTP0m46Wc5+I93q9ZLVB5ixvwsLbV/89FNmgmQidOVQJOpzHjzIwtMqD5PlcUCH\nvV47JSjO0ulB9gjbJ5Amp/AZ9gqmu3ZHUeDLXnQ67ef054ATfTc5RkQ+N8C/trsEcgBu7HG1LQBp\n7WntGWGXrcejozxI6+oqZVHr66kVBtqtDYDT2mbXMaLT0y2Dtbub2vqzs+Ej3XVpsrf5B0G8gmV7\nOiLfT++OTUe21CDQ/GLfsf21QNccCzKqjls2IGLYHsu2WQ9sPCJIcebcXLMtV1d57PnCQjLKbJNa\nFYXAg0F+JgKg02mfIRNknwjisensoyCObaYXv7nJjjmKXSPSbllPbAWbM5qRe9sxBtXjMR73HBgC\nKV3GXFs4xqDbbcZb4czJSfv9kycR//bfDrMP0pI+E/h18ELViQJGtfgDaGE8dZ5gSKpsgvEFLHRd\nICOpKem9vWSjsLkMtg4DflfZTdXyABzdJlBUHY1WWFUDq6c2MAzMOvzGtTPY5taQxr24aAB/YiKN\n9epqa20FYACcjD2dc+3yUTXQ1gBnH9HmkKP2eVLsWkZp3wU0RmTHlwqgqnZR1fvjx1lMqBgUoMTw\nY9F0EFFUBVAoXLy4yPaA9QAS18X5A+mutYLcKtV4H0NQUXXKQBQpANZduti6i8i0sPkHjrX6A9Zq\nYRydODZT71qZo+++a/IK++L6Oue16vqXl3MPdruZ7WATzCcwa463tjJAffEiu+84UINkSFBXD7F4\n9qz9/OXL3Of2klT+6mpmyrzXOjw/Tw2vwIPOuK53ffrpVoEm4NN1Yc1fvkyZgzaGWNQa0Lx6lWtY\nv//Dw+wmU2tUqlSmZlUePEh9LOmEbMfkZAbw3W6zAVjLr75qf549y71rn1lfbIk9pYASYy5wdaYA\n1twfAbliWQFeDcwx9NhlAY01Q8YiKBFoCtoi2udPT7fMxfT0sA68rtOVlawLkTGrZIxnCsAC7fYC\ndl6wyV6wdcfHw92j6OitJ/v622/bs/jzn1M+xFaTQAkWIjK7wvYKfGn97Tuff3HRiJ+ILNyv2U0d\nk9hMfvA+Ywyqx2M83sOo7EitWq6snQ3/zTftZ04y7HRaCtvRsIAvJwjoaJvH4EnBb25mao2TAkAZ\nQmCRrEJUTiIgXTqaOmXAaLw50wpIFMBhA6oTADZPT9v9YmQjMsXMiUnl+gO8Y0H8XPq4MjsM+9JS\ntliiycT4zM4258vhMLxffZVApNttzgZAN7fYj+vr9lwcvYvNxrAADdZD6xOd4EOl/mDQQBRmGTui\nT3U98l2HC8B+bi7ZSdfseWPuOOrvvkuNL4mGlK11y1FbQ9Whc0K19Z1Ri0gxZ+8LVHOu5C+YQkGG\nPQbsyWKY7xo8RiRIBuQGg7aOSGN0Rlhfz2JQ2ZXLyxbEAMs7O80Za+c4NdXaRDp0B6AnHxEE0v7q\nZz0729baixe5XjCGWsWRngC7CsAcAU6uc37eACzW1/xgajHrMk0AfkTKxEg0Jifb/qnBuOcryK6B\nDrYQmFldbc/lz3/Odm1Ydz3NO51kE50midHUNcV+sy4BNF1DaG39TY4n2KttRfXQFqRPTbV/r61l\nx6I6z+Rg6lVoe/XYPz1tdoPUCGlCCmF+9/fz1FbPVZbr8jIlH/V++I3t7QwCZE5kj6wvtuf8PE9t\nFQz3+21tWRO1Q8jaWrs+bRIx8HwVu2AerTNBDflQzRzyL8vLSXI4xAcbLosZkQHszEy7v3q6I3Dv\nuQs8a1eU6ek8tp39s57ZrbOz7JNewb+gT+BYbZjre9cxBtXjMR7vYVSHD0jTxFUdppTj7GwWxt3e\ntoppLK5U2dJSai/n59v/t7Yy0q+auMEgG/ED3oqcGFqGR4pLupIxUWAIUAGFinoYUylFEgCOr4JD\nzIEiuOfPs41X1cUpbMFEABLz86kNBES0k7q6SiZENqAyNnSFmAtOXDU7jTaZQL+fQESKFjNVD0Yh\nrVH0xFFhiQDf0SLUwWC4RznnXU9kjEjH/eBBnlSHSaLVdm3uWUoX8KXxFmysruZBFRXgCSqASeC8\ntpMCSElggD4s0aiG+n0PQL5+j/Vb9d3upR4RLeNCGqAWAChQn0Brq+hPip+DB9hpQp14SZO+sZF7\ntgZZPqdqjLVQe/Ys16X7wwDq0jA/364TKCVtikg7Yv9PTqa+GKizr+thIjWrxB7QXGPsANC6Ji4v\nUzICSGnjR/Yl4Lb/MaxasQG8vtfeNF9YfdcEoCn2do0OVhLId7vtc9U4ALdsAUbYa7VzxL4PBlmw\nOjfXCA9Bp32nYFTnm7OzDBx2dppsB/gW8OoiE5FAzdzJIumPjuGWUWI75+ebDXD9JH5LS5lhqhIo\noPrFi1xv1oCgXw2MAIqUT5AEYJKAXV8n2y2D5d5I2hQz+x2Zyvp6khUOS2OfBZ7YdP7vz3/O9XBz\n0579ixcZxK6vt+vE6CuKFhQhP0gr6+FI/NSozNF9q4n54lrqjcd4/JYHQ45VwRJyGACxlkK1OX6t\nIpfW9Hu64VqZzWkD6Zyh42w5s9o5oab7aOowTYwM+QHmVWSvh2/V0pJaOEJYijciwYnilJ2d1Edi\nHaTrq9SANnVjI9OvWGwOF1OL3dK20Alp2N7b2+y92us1MM1BVRAgYLi+bs9BMAM4T0/nPNfniv0B\nkoFZ8hkdMmpvY/MMqGExOUkFdrom6PmMpQQw9Y0GxquD9HrPTwERBtM6JTfwjLwWUPJvz4iesz63\nDzWsvyqziUiNq9fYC4Ie91IDSmsfeKPBpbOX7aAhj8jsguDD9zhtj2MH6hS4ASW0zcDh2Vkyhw57\nIXOQvWErgAXBuP0H6AJiwJpiQesVEIxo60cnm4cPhwOpiJSQARhLS+0+yU0uL/N4c3MObPm+iAwi\n9QxWoAe4axenIAx5QD+umIxGOCKJAIV6MmJOK1X8q9PIy5ft89QPaPHJpshM1KJTdRmIDAXak5Mt\nQ1EldwAaSRogrIOH30VksEV2JrCuMjPBFI2yNRcxrPUmT9KKdX6+3ZsDoTDJpCiyiSsr7fp8P9ti\nTbIhAnayQd8n22gf+Z1A1HunpxsZgHDBxkdkhyjkRETOtf17eZndjRYWUvbjGmVI1BP89FMGCxHp\nS/f2ksknmbO+BVKu10FE9rXvvq9NG4Pq8RiP9ziqngugZTQ4expDoE0rHxX4FbBxSJzw+npjumpa\nVjEMbSTNrLSflCwNpBMJOaLr6wS8EcMAU8U81rsWh1SW+/Iy2T36T0HB7W0eMOFeFxfbNa2sJMMW\n0Yyha9J7+/vvs6vB6WmyUhHJwOg9zEFjwemMMdSPHmXQg40B8hXnYMWl8gGHesohMFufs/QvR0T6\nUpnBqmMFYKXosTMCCc5P94ZaYINF9Z21WE0BnTnFDHIWteuAueZABRmuvQ7/B3jqzz7kqIC6fmdl\nR+2xOo+CtIgEDxEZkACftQh2eztlNcCcrATQfHXV1tHW1nDv3G+/bRKnqmknZ7i9bZ9tHegzDoQK\nvgRTNOCC3tqRQ4cXxYOyRYpaMbEyWNYfsKdLCsAKgBkCe+uOjREokH8IyBytdgAAIABJREFU1B22\nYo6sVQy54KzbbfteWzPXxV4IRvf3m50jGaiExORkswmyPLIksjCCPtIDvd4vLtrnra4mgCI5qVp3\nALfOLbtnn7AVOpxcXaXkgJQP4PQZa2tprx8/Hq6f0UVEkavnzJZiuoFb+296OltsqsGQ1XC9smav\nXqWUAxAlsUCOuEbPlgxCK8RauxKR14GhJrM7P2/Alx0yD9bf9nbu2couK3yUhfrxxywErtpu+5BE\nStANxAP/Ch0VtZK1kZCoqxBI2duCy3cdY1A9HuPxAQaHDgAAZwrZSAKkBKX7VLxLVU5MJHsDkNKN\n+rf318p7KTrRPRaLg8bKORlPShl7pOBRqhHDygED6NfXjf1SgMPxRiRbur2d90Su8fXXw0yr+56c\nbE7JPStqAnwVfmIcJiezY4HXP3qURt4xtf1+cxqq1fWD5ihrqrjqUDnayvqSrGjRh/2MGAaZgI/X\ncMSeT0SCeM4b81h70irYwbx4jphBOkHZhYgsGrMWOUL/r8PrgCTXeteartXxr3vdhx4YbOC56o6B\nq9qmUSADtFUnLJDAgJ6dpRxHRwYtzEhwfF+nk518ZCMuLlIjvbjYfvbTT6mBjsj6BHsVe+dzIoYL\nU61Fa6EGFYKhiGS3AUWBl3/LvghGsO7dbnbzoH0W1NoT2Hprzt6VFRNIqhsR1Ou6c3SUp+DRRSuM\nlEHRqaV2NlpeTnCm09LGRs6tWhVdUgQ0iIVOJ1thyiawdewRm2O9vHqVe70WYLKBgnLgl11SSFj7\n529upsyILanXAZhaa2QMU1ON6GA/tGKsWUfPyuFNsjO7u1lcWVsVmgPZGIGEY8GrPIXEqrLp6lVc\nu0DLGolo3/HVV9kaEpitUqCLizy9li2p+9PBRAImZIx19/BhdnWqhzsNBu11x8e5li4usthY73C2\nU1aWVv7iIoOh+4wxqB6P8fhAY1RvWvsy2+TdbrLLTrV79KgZC4adnkyKbGGhRfHVMUxNDbPJNzct\nkq8SA/pAWsjKSDuooJ7EB+RXPa7eshxQBaKYl8XFTO2J/AFJ7Og337TX63IAKD1+3Bzv9HQDIrSw\n0sN0qVg4PXl1SBHIYGPoTq+vh4tUsD9VZ14DCxKbUUBd9cgRP9cTA7a1SwEnVoF11TC7NkWZvV4e\nVuDzJyaSyZK1wJL7vTVHAjG6Ft9kvVbwfdfA9FQW+FOM0fuOyCyKTIo95PkqRgJEHYjh2dOMcqrW\nv7oC4EpwsbiY4A/7Ww920fVhfz9lNjTNnj8m0l6x3mr7NWytNeh9vV5jBLe2Eixrz8n2WG8YY0Og\nQAqj8EwLToG1/VfXFxZUloOUC0isBdr2eO1hDeRFJCis3S9cs/sH0GWaFP55VkC3IME8RbTP1OlD\nRyDg01rQSlNBNolGBZYkCJjVWgMiqAHmzdHERPtu1wfoyZKQDzkZ0/fQ7HvOVdtujR4cDB8Ko05A\nd5atrXZ/7I92d8vLwwf1OJTmxx/bddKq1xahNSMmwLJeyOhqATbJT0QGilV7jalna8hoSPZ0XSGX\nUwAs2+NZeY4ynYKxq6v2fvcMjAPRAkrXODOTJJF9eJ8xBtXjMR4faQBzWKcq/QAUpZwvL1tx36NH\n7WcKNEgWgD8FFn6HkQYYFUZid+fnm2FyEAOwt76eTtFnSF9HJGOGVQIqMA+ck8gfu4BBqt1KaDYV\ndlUdtVPxGD/AYHk5nVQtzmHUser+r4iFcxSMYPA5Xsw5IFRlFmQV2LYKLH5pYCQBOeyolPzk5HAh\nlpR5lVxwLgoRZSWkpTk5+sWI4baI78og/9q9VWD5OQwOHiMbkeyieRLcKJTiULFfV1fZQ9dnVPmI\nfSSYqnpyWQbr3pHbgj3rrgak5BARyVa7DgVzdR3c3jZ2dn09D1Si1ZV5EQjYn4AbkOAzBfKYQdei\nkJEOXOEzLXe9Zlk3en+sey1mJvUQENhLgpO1tdSTR2Rwub6e+xMji1lXGCoIAuCx5isrmQ0kv2JP\nNjaGiwRlf2QI2Tq2iD45IqU5rt060NLy4CCJDKxvRK7J9fXMQJAu1NoFdrgW2AqayCciMtheW4v4\n058S1ALVDx/mnKyuZvHqwkK7f60KBSRV481O19fKEI62ZmWr1JgI7tSdaGc4GDRfU2tsLi4aoaKO\nwOc6nwEhAPB6n0zt5WUWhgru9KZ2WMz1dR5wg9lGOv3lL9kxCLmhaFatwrhQcTzG4wsZ2KPKovg/\nJlj6LKKlIatulCTg5iYdrFQc51Z7oC4spHHCgngNhpr2cXk5q9cra8agcaQYJ63fGKTaRg9TTO92\nfZ3MV9VeHhykg5IedLgBPTMwj83mXCcmUqMHQJtLxpIcZWkp2zcBSNJ9vV7KQKSypVg5HCnyt3nO\no8/cPAB82E8BStWBA00VgLs3rGtlIV2bVOqHLB4cvb/PYVSAEpF7RAFizUqQfFi7mDRSBKBa0BOR\n4Aj4nZ/PQMd68nxWVxtI2N3Nvrj2BrmEg51qUDczk4VT0ur2Nx21LgeAt7W6uprPRHs0bKD+w0B2\nXWe9XjKbtfajBn8K1ARswKO9A9xE5JzIsCAAgEPFYQC3eZyZSWD88GHbr9vbaaOOj9vnbWxkRyQA\nNmK4+8/oIU9sEVkGiUHtbsHWLC21vxEdJGEY6Lq/SDIMrRqPj7P1HRtC2lGzX+pkEAjmnr7b58sG\nuW7A2kmhJCk6GPV6zTd0uw1AWl+yj/bJ4mLW4GDAyX60PtSlSfcbgT59vmer25J5YpPsF+ucr7G+\ngHaa9IjcK3NzSfxYS9vbbc52dpI1r/5ttJe5/S2QePkyD1HCagP1gLlD2O4zxqB6PMbjIw6sTUSy\nJIArUD0zk9E8fS2JRUSytnrDKmJZXW2G4/w8dYScO6aJvpRjiEjAh2ne2hoG8wqWaOAca+znQJ7+\nu5X1mZ1Nlh3YwYCZD7q7R4+G23lFpPF3nYIITgj4xDQwpjph9PvJ0CtMcl26I9Bi0uBJC4+2zLvP\nMEeeMydZ14RrwwLqChMxXEmP6cLE1gLGqqv+vYxRCQ7gwqkDUVjmKlsxX6OfIT1f9dM1KAQOap2E\nNaMrw85OppVlbwSK6iKsT6AMAAY8pM3td0BXUCWN/+BBXgMpBVmXPtSCUIVhglGsHkCHfdW3XiYF\n6MOARiRTOT3d9rkuJIALWwUQyaw8fJhAWttNtQ+OmMZcVpCljzgwLLAEhtnBV6/SrvT7+VkkY+Zv\nfz+164Ze1IAr1pytq3IIzyMii653dpItpxWXLZMdqLULGHnrSxaOXMl3mf+I1IwD6Pb+7Gz7boBU\njUCVAJEfLi6mdIiU6fo6DyEip7FHFCJigM0R4I74kC1R0Kp7kflTlKmrCXZekTaig76ZHIVeut9P\nLbyDnNj7auNlNHwHH6iWSeeZTid7azvc7F726H5vH4/xGI+3GQwptrgyEbU10sxMxB//mEZvYaFt\n/Np+SpoQgwwsY3V0BcEIPHuW7CumhERidbV9joKXWkQpzaj/MRZQKlV6UJ9ugBcTgOXmTAQStRXW\n4mILJB4+zOtcXk594cVFAysYaOxXZUOqc8RwS4/6fuA/IvWKEemwfC6G+peO0n7bIYDwx6gdN/yN\ngSLF8TvM1iiT6t+fonDwcxyYY3NuHt8m4BCgmVtBlqCO9hLgsra73dSE7u1l8GxvaPXmZEbs+YMH\nySAfH2dLtuXl9j1Y8srG+tnkZHsPbWnVUk9NJejG4gmwfYYCvIWFZgt++mn40A8BoULCzc329+PH\n2XUGqFO8B4DLXtmTc3MRf/hDZqQUZGMkHWZCuz8YJENdn6ce4bVVou8YDJIRtxbYTMES+waEmZ/6\n/xpsmdNqt82RjJPv1cFCfYZsW7XzgjAAG2C1Xuj0gUNzeHOTgYhRuzHVjMTBQZ466P0Katk4Gb2v\nvmqkjPZ+5E01oGQjAVqn4upc47Ad1yNrSuZUD+s6Pc1nW+ti1I2YW2cV+G7BkdqetbUWXGK9FezK\ngvJ1ZJHA++lp86dOZuWvPLt3HWNQPR7j8RFHLfCrleTSUarKgVUyCg4CQ8no1rQgh8wY9vvNYNSD\nRBSm+HwpOQ35aeiwJKqwfSb2g7ECuhm6TidPA8S6cMoRWSzDeSrAW1xsjn9jo13r9HRz7i9etPc8\nfpzAhIHudpPRAJgwPj6fo8ZmVUmLe68ay4WFnFdA/X0NKfAqA6kSEICvOm1gsI56TRw6gDcG1W1U\nwDHKQr/NqJIQoBrgA6SBP8yl+oCtrWRPgRKypbW1TDXf3LTXPXw4rLdfWWnfC4xE5IEdOh1MT7e9\nc3iYrKDMCpnVo0dt//z0U/u+5eU8zZEEQpGlA6kwxQr3JiaSJXSv09OtjWC32wJhAQOGHWtJV4zh\nrAHAykoeUoKlv71tcyGwcJR1RAYDmFJ9rwXQtPKzs+2z6boBSnvMHvRzLCa7ctdgs2swUjX47JKA\nQrAiOHLdEdknWzcOEjn2HKNd6wTqujZPghn2TIZQYO47ZD3ZC5kPcpJut60T69k6rhlSc4edR+rI\nZvR6wwcg1Wv3O3vI65E6PledkePP9XQngbL2kR0HB8MF6gianZ3Umu/vZ7Y3Igkj13ZxkfUqDuO5\nzxiD6vEYj484gNFaYMUB1f6xXquwjxGamsqUsoMcJicbGxGRLLf3z86mBrPbbc612009M5mJNJ8W\nRU4NZKQZrbOzxmgsLuaBBxyzU+IwUK4BUywVWh2vQzicUFb1elKSNH2q1Tl9LMjcXGNY6CilFRl1\nBpPDqqnIiGSpsVq1YO1DDAArIoOqUTDs97U1nDFanFdbQI1B9Ycd1lVtURmRQMH/B4O2poFhwE2Q\nR9dK96xXbqcT8fd/nwEe4K6bQQW1VVrgszGl1nuvl0V6dNj+kDYp4qJnBaRroTAQ7WhsPeZrcVlE\nBu2dTgPxUutkTwrwDg5S9hKRQTyZmdeRkPzxj1mABgySe93eZv0GSQNwXGtWsMKYc+y1+RDovm4P\nmTNZJLaXTRZsAbzsS2XBPSvrRd0LsCnrRI6D9a0SL0ETO+/Z12yA93itz5N5kV0EarXM++abDGam\npnJNsjWye3TQgiRtEmmYkRyAf71ObSllDV23OSHLI3l59mw44NGisRYn07zrGmM+gG4FvYKn2sWl\nZgPInu4zxqB6PMbjE4yqn2P0IzIlB2xLF9KtKRLiGJzupnCxHvYA8G5uZrEeCQfjFpFaZ8aewe12\nG3s8OZl9knu9xhpdXCSodiDN3l4eNxuRzkXF++1t60/96FH2DnV8MKd6e9uuGahXDAPIMLwRme4E\nyukAK3uEtWFsGXpOFlBwimVlJj/GMOd3yRIq+L7rd1K0nMkYUH+cASRVHejtbR7q41nQS2Pc7IXr\n6+a8McM6hSgWdlAGYExCMD/f1rlslcMrFClrO1ePlCZZqLpusgz6b5ISnUYmJrLLBgC5stJ0yi9e\npISgdhdx0h+wLMVPTuH+AfCJiQyuZexI0Kamhm3LgwfJ8mOnERD1uOr19cycsasYX3tDMF019/aQ\nvfZr+4i9rmw3DTHG2uuwtrXbhLmhy3etNVsFdLpGNlXLOHOPjT09TdYVALXeFI+aq5ub9tyr7Ozg\nIO3J8nKuBRnMWrNhPXlW9kGVjFTm3zMDiCOGO6n4LOTSykq2hLX2d3YyS6NFpfVZ5YQHB8MFs6N9\n1JEq7qNq0s/P22cjqN51jEH1eIzHJxpYlNpyiNPhqIBkba3oFhlzhT+YVjIAjoZmE4NdK+M14wc6\na9uwWog1WlRInqEAcWmpGaSXLzPdi71muDja5eW8b22UsB/0dDXlyDFj3bEtGJyINP6YCClwTA1n\nh6njEDld94j5/tjjXcDwXVrPMaj+OANQMIAnIANrNzOTdQBA1+Ji28sKDLG4AAK9r24NQFev18CG\ntnEHB+2zpe6XllI6JvVOVqHlnvWt0EuwS9PNvtgnChyBRxI066z21bYGNzcTINaiYt9t/7vHy8tm\nR/r9tB26niimq+RDrzcsFwEM19fbZwtynEiJNa0H1Sh8xLgCya71TXT3MkRALIa2yrl0n6gdPWQi\nK3j2eXU9AX9VTnJzk+C5Hkw1Wvwuq+j+2MmaucMws/V/+lO+17yRHQLWsghkgdYDKY5rsT6q3xAE\nWCcAeGWOzaNibMw38G3tvHqV/opfIEOp50BMT6eGW4H87GweZW4deh8/el8fMAbV4zEen2gwNqqr\nIzINFTGcdj09zZScYsLd3WSmAMfBIA9YkJ5Tpc3IcirLy+kUIrISfnU1iyIZL/KO2dlm7AaDiL/5\nm8ZQT062wiOGXp9tHTnoraXAj4+bMdZvm4EVIFT5C9Bf04mMLE24lK4uDE4Yo031+ZwQJq9mA6rm\n7ksbQMHrWO3x+LCDc5ZSVoRFEqHwS/HY1FQDfo7q1u1AwKgATAbp+LixtSsrbW/KVOm8QCpBBoUh\nJ+n48ceUgejuQz/a7SbArwdFdbtZZCkw1eEBENRRxX4jMdNlhJbY2lTMBrwOBilrWVjI9n5a7DmI\nxHUKgAHUWnRnCMrpqckhAFQAF/CrgP1tA9NaoCpDho3udoeLKGsBHOBeWzFWIE+mVtlqfkGWpJIC\nrgXbS2PtOwQO5Eb8jazFwkKeiit7JzCzXqemsivKzk77ToXxOpX82lzVQ1VkLdxvHbKPCt9XVlKX\nX/3D3l5b74eH7R60dlXTMzPT9ov7l5Xw/QpK1T1Yk7UTzLuMMagej/H4hIPxEinXtCJ9r+ImoFpF\ntqO7GRRGARDGCDhsJaIBYidc1Yrzycn2u06nGSKAoBZOSicC3k6s8ru/+Zs0etvbabw11NfxwHXT\nb0vfYa9VdWPvasBRdXR+5v/11KxaVFaLDjmciGFGCMvyJY5a2DgeH39UBq4WigGZUtxkC4pi9TSu\nkojBIAvM7C/pd2CZXImNqHvom2+yJzJAbP0vLaWOlJwkIhnBWlxWO0foSf/4cepqBfK1SHNhIfe/\naxDw1oNMdDR58CD3qkNt7NMHDzKbZv4AQHpZLCf5g+AZI+nZVM15BdR+H/Hm0o862Kha8Hxxkba8\nFhwKKmo3lArs66iZgIjhTGKnk3NbiyOrDMz7gGwBF6Y5YniudRMxr7Tt9QRafaHVtQDfwPybDJ9d\nn0d9RkZlpwVt7tHhQFNTLUi8uWm+xp6o/lCmxXq1Nzc2ssC1Fm4a4xMVx2M8vvBRo29sMqDk5zSM\nUo60b1VbV4uWvv02D59YX88OHdK7UqKXl+29jkH3WWQjmJSjoywsefAgGSuFU7OzKedwXLprkTJm\n7BTgMMakIsCB4i5zQ8NXU4W18IahVnilu4kB7NT3SvVhfO7LTozH73tYp/amHswAw2CQJ+/ZX6QO\npAPdbmMMtSObmGj7EvNLkiHDhQkl49Kerh5gMjnZgHZEdqOgwQaw9ADWJlNxGVkL9hxz7GQ9ATd9\nNKBYu1zYX/oq65kckYykI7ddD51wRBYo6wYh0DYfwBgAVg9Vcs9sBTLil57h2wzMucK/TqcBODa6\nFhACpwJ9bPAooHNfU1M597X9JhuuYNI8VrDqdT6r2kOvrS05BSwyIzrJuH7ERZXHVIb/TUclRwR7\nRrXzPndxMdl9QdzCQvM/sqJ/+7cRf/d3GZTVLEYtSr+6ahmaXq/V9NQDkPgye+u+5MoYVI/HeHxG\nA0CtkhADIyySroc8MHicCb3i9XVjlQFd0ofV1fbaw8PUkT16lMZLRTpWiwHCYnsvxwiMj6ZnpY2l\n28hDvv46nRKAMWpojZoOraP+3+ePgmNOVfGSjg3Ag8LEN9FRjsd4vG5UUCCtf3ubQFDHA/IGGmng\nq9YB9PuNfaPNrsXHinFprwXaQI5jvxUbk4pUOwHE08myN4oGZXxkuGpxnz02MZG6WhINQ/bKYTD2\n4OhBK2yVGg9yBHUjOkyYvwpCax1BLYQ0Dw7K8VxeVwx830E3zm5NT2cxoHusMo3a7vCXWHHgDrCO\nGO5MQpLhO2iDawFmzcgByJWFFaCQlVhXNRvoGakJMLz+bZh98z8aALhGZJKgDklinesgUwvrB4OI\n777LwE2GAgFTa4uw6n5XD1FTjP/tty2wvc8Yg+rxGI/PbGADGLQ6OOtaFc5hYjX83AmImDM6zOnp\nbF+HXZFS04C/9jSNyOJAfyKGW28BDQCrQyQwD/4sLeXn1iLIqncbHX5epRq1eAoYuOv9VStZ9Y5+\nPi7wG4/3NTjs2sP4/Dw1zwqJ/QwQ6HSyo87tbbamlLamqabTBQ6AcwxzRB6YodPH8XFmnSYm8ght\n0oCIZhvW1vK4Zgz3wkILtF+9aq9T2wGIYcWrXIEk4OQkpS4AUtX9T07mCbACjVqITbKgvZqj2Ctb\nWmVbQJlrkZmit/5Q0q5RZnN6ugUStWCQzb6LUf61USUZr+tKhElGWtQCyvpdbG1tKahWBqFR9eEI\nnNpi1Jqptvtt5kqWcPR51Ov0LElUMNt6YNdnrtC112vr1FH1g0GrJXB8uWPcyWciGrFzeZkHqqlB\nOj5+u/saHWNQPR7j8RkOBo5hrANDgRGpmlpsQmVmOXfGshpJ7E/trwpocnAKXnQM8P+VlWQ1MBkM\n+/z8sExFWtQ1VZ0zpuTXUrPVENfUpPu4azDIVZ9ddY5jUD0e73NUAFPX6MRECyi3tlK2QYtLIysT\nFZGs4/Z2+3/dO7UArnau8d20yLpEYK39HyCemUnwq5iPJCqivSYitd2+2zHY2FLyEcWOpGIAFJux\nuprBPc0sLbd+zeaDBABIpwWPGAan9b6xmaNZAzbgY4wKbCuT7v/G29ict2GE6737f/0cAQkQfn6e\nxZZsfV2z/ryPNqO/9hwq8cFfeT1Zn3VBOy6oJGHU2QZ7f3aWPcQRMVq2rq9nh5OItu7UPtxnjEH1\neIzHZziA6toRYxR0MkKcV005ApDkDtWIVpZWOpUzYFwjhnt6iv4VvFRAWzWDmICpqcYA1JS31LIU\nadU0v4vTexumpFbmu+aIL7c4cTw+z1GLFiPauh4MMu0usyMgvbxMmVRN1wO62ovpoX5x0YCA/rwR\nw3tKoRYgF5Enph4dNTDhOgDdiMZgz86m9ERRIYkWJllXHzIV0jCATY9gYN81C7hrmz8tOzGT2rIJ\n7KemEtCzRXW/jsq2Krmg+LsGHh9r0NPXzkpVnvehg3jzP0rIVH11laiYx6pnjsgA5WPZSOuAP6sZ\nCdmXCqi9VnaUjJHcZ3W1/f3DD1mYKxuzspI1RRMT7feyO+OWeuMxHr/BMcq2YHcqY0BjBhB3u1kI\nxMgw6lUzx/FX0F57vgK4V1cNGEdkBw8Fh1LAtTNIxLAhxyJIC3u/IsGIj8cUc67ufzzG40ONCqqB\nmNr1QfvGq6vUVNcDO/TYxdTpMY9NjshAVMEbUEvyYK3XfVolAnUIcOmXHbLBPkRk7YS9D7RiwqvW\nl6SsBhgAUpVs1Tm6uclWobUFpqyYgOOXZGKjz8C8fuzOOLTAAnnBTdVEf4zxOjvH9spOAqejtTm1\n5d/Hul6+h/4b0EYMWauCzPPzrBEQiJFI6Zgl84HEEaRW9lpAt74+bqk3HuPxmx216T/HUtNfEZmu\nwjbUgo+qdeRkaOc43YjhYp+IPPVKEZPiyVpICKBjFKrjrN06yEuwRrUAk6P8WCDXfY9B9Xh8yDFa\ngEXmdHIyzF7KANWWlre3jUWLaD9TwAg8TE3lgTKYOdpYUonDwzy2W72FQHY0jQ9Qqaeor61MYEQG\n66QauvToVEE3TlJQwTzmtPZXrjIQgYHgHjMeMVzb8aagtEoHPpW8i41lqz+nrFhdB3TgETn/fMGH\nKvB83Rh9VrITgk4ZFBr9Tqet9ePjrNfpdjPQm5/PExqvrxtoJjHa3W3f4dCgiOEA7l3HGFSPx3h8\nxoORAGKB01oRLj1a2x9VPVxtUeeEwlroJyUNjFf9tdZ3JCEGp1UryDnj2qFEWrq2wapFMj7rY43P\nybGNx29zCBxrAAkEyNzo91xbq9lLCvtq8Z59fHWVBYLsgPS33sG6gNi3fn8XYLHnAfTKTm5vD7PF\nWF+fIxhwr4AMdt3Jhk5GFFREpExEz2PM7l3aXVk1oOpNn8Fd//6Yw3NjGz+3Uedat5XaavXXOpR8\nyGHvCPg8/3rSYq2N8Z4aFFjzToEUaNZAd3Y26w90ubmvfnwMqsdjPL6AUeULlWF2nKzm9lK4UmVA\nOWeE9XHamVOx6PBubvJgicpQ3zUYtNouD2tV21spIKrOhVwFsB+P8fgtjbtSyPYI8FjZt16vdfio\nEg+yCEDXfhMIY3sxyPYpTWgtXr5LZlUDc0WBMkxVAoBNZ0tqV4kKGu1j1wfgkED4f20JWjt2vM4O\n1NqNNx0VgH/KzFTtePE5D0DS329THPmhRg2mrCGyj3piZC1srVkV61gdgULEvb2USAlEkT/qFe4z\nxqB6PMbjCxkicRo9oFVRUi0KpHmsvZhrtxBGqWrLOGqSE+/7JU0ih0y/WItc6olZd33G52C4x2M8\nPtaorJrDSBygIivU6zWGVxYIuCXl8DknJ+3f9ulomh6wriCjjlrMXMFwBcI+Q3AtCNbujI2x/+te\nxlazC9r6KeKj0T4+zkzZ68Cv731bW/E5nDL6MQv97jOqXOZzkccB1fXwLn3aK/hXo6DdI39DP61f\nu393Oo04sr4RVZ1OywLdt1PMGFSPx3h8QYOBrgB2djYLgzjYiEw51yIimk4p11pMVB0tXfWbpMJG\nQfOX4kjGYzw+5sCcYWcdbW0vA5dVilU1pQp+gUz7bm7u9UCo7u/KVleWul6ffcsGVPtBulJbs9Xi\n5lHQSz4wWgDNVszNZTHaLw1dK952jAP2dxtVy/45XMfoWQd01bI+uucgm2Ru1PTUdTY52YCzUz8d\nsFTlimNQPR7j8Tsbo06IQx49IGBUg1jTtQqcIpLFrkd+vy3L86kN8HiMx5cwagGgQqrRMTeX+ml6\naPIuwbBuBxG/vvcUIWrfF/FzlrpeX5Wf1A4MUua6jpCf1KLo0c/oxKDyAAAMQ0lEQVSqNR/1ECZs\n4zj4/vxGlRl9ylEL3+mf+ad6MqjMiePVB4Ncd/yiU347nezZXusS6LB11LrPGIPq8RiP38Cgh/41\nQ8jIjBbyVEbpfTT6H4/xGI+fD4V9v9SvWL0BJw8cSHMD0W8KeoBnxcnGXe+vUosaANSe9UD0r+lv\nqxa6gmqg5XOQZ4zH3eNzeTajfomkkQzy5GR4Xd/e5pH29bAj2Y6aabHPVlay+wmQfp/xSdznkydP\n/qeI+G8j4iIi/senT5/+P5/iOsZjPH4r4y7W6XXjdazShz7SdzzG4/c+anHvLxXp3tWP+W26X4wO\nPXoxyxGv/+6a/q4BgFoLvbV97q/VRtRuIbXn8Di7NR6/NiqoHq0pGm31OBqo1n/rYqMd38JCZoF0\nPqmdtu4zPjqofvLkyX8SEf9NRPznEfGfRcR//f+3d/8hlpVlAMe/y7iuuq5Z4K5pWlLxmFiBhT9D\nV01M1AwzisTS1Mg0rISsQNaiJDQlVIJK20qK1AhJQk2xJDXUBH9E+fTDEPPnblC40oqt0x/nvM2Z\nu3fcmXvu3HPv7vcDy8y9e2fPuw/Pnfuc9zznfQGLaqlDzQ9GP+ykxVFurCo3FpeZs96ZwTI7XFYG\n6d0db6HK/RalqG0u9/dqyhWwUlSXmcFyk2WzF/zVjt28ZD+MZcu0bSifSc2vZQnKstJUmQwqrRzN\ntqjmko8w83fLl1ctVsuWzSztCDNXg9roIrVPAG7IzGngofqPpI61vUFD0paVGd/mBk69RXWZnSsz\nbMM40W0edyGbqDRnpZsz0+XfmU+rQHPGcVxaCzT+5rpJtcwqNzcfa262028H4uZSkKX1o8x2r1gx\nvEmlLorqNwGbIuKW+vgXZOYjHYxDkqSRK+0YMLvfuCgzusNewaLM7g0yU1xWLCmFy/bbz8ymz+dn\nS6+2q3JoIbaUX+VksblaSOmLbu7E2TwJbG7HXlYSKe+N3uUnF2pRi+qIOBM4C6j/aywBVgK3ZuZx\nEXEYcA1w4GKOQ5KkcdGc7e0tqsvylovRIjHIyj5NpW2kuUPqfIrq5tKB0jCV91IpoJcunb2rL8y+\n4bds9FJmrstmaOVEsW2OLpkuIxmRiFgDPJaZ19ePn8vMVVv4sdEOUpKkEdi4cfbmG6Xfut/az+Og\nFCgwe9xS18p7qXf2euPGqpDecceZ1zaL6g0bZnYVrdeCH7gJpIv2j1uBTwHXR8S+wJPz+aF1615Y\n1EFtK3bbbYWxHCLjOVzGc7iM5/AsVixLO0VZP/fllwff8GRUykxgm9USzM3hMp7VetWw+Xtn48bZ\nuyhC/6J6+fLqJHHlyhUDj2Hk58GZeR/wRETcC1wLnDvqMUiSNA5K+0RzV7hxv5mvtJGM40y6tl2l\nSG42YJRWpR12mLmyUl5XTmJLu9X09Jj3VM8lMy8GLu7i2JIkjYtyE19z63GLVWnhyn0KzSUom1uQ\nl+dKAV12Kl2xYqaNqW1PtatFSpLUkXIT30I2cJK0uVI0l5nquTYbKkvxTU1VRfgwW60sqiVJ6pCb\noUjtNVfQmZqa2Smx3/trsZZ39CKTJEmSJlpz987SSz3qqz8W1ZIkSZp4Zc3q5rKPIz3+aA8nSZIk\nDV+ZmW5uSz5KFtWSJEmaeM0iuosbfy2qJUmStFUohXUXS1N6z7EkSZK2CkuXzt6mfJScqZYkSdJW\nocs13y2qJUmSpJYsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJ\nkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKkliyqJUmS\npJYsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKk\nlrYb9QEj4svAMcA0MAWsysx9Rz0OSZIkaVhGXlRn5iXAJQAR8TFgt1GPQZIkSRqmkRfVRURMAecA\nq7sagyRJkjQMXfZUnwzcmpkvdTgGSZIkqbVFnamOiDOBs6j6p5fUX9dk5u3AmcAnF/P4kiRJ0igs\nmZ6eHvlBI2In4L7MfPvIDy5JkiQNWVftH+8EHuvo2JIkSdJQdVVUvx54vqNjS5IkSUPVSfuHJEmS\ntDVxR0VJkiSpJYtqSZIkqSWLakmSJKmlznZUnI+IuAI4GHgF+Gxm/r7jIU2UiDgCuBH4A9U64Y8A\nlwHXUZ1QPQOclpkvdzbICRAR+wM3AVdk5rcj4g30iWFEnAqcD2wCvpeZ3+9s0GOsTzzXAu8C1tcv\nuSwzbzGe8xMRlwLvAaaAbwAPYH4OpE8s34+5OZCI2BH4AbAKWAZ8DXgYc3Mgc8TzFMzPgUXEDlT1\n0VeBOxlCbo7tTHVEHA68JTMPpdpA5sqOhzSpfpOZR2XmkZl5PlXyXJWZRwB/Az7R7fDGW72m+pXA\nHY2nN4th/bqLgKOAI4HPRcSuox7vuJsjngBfrPP0qPpDwXjOQ0SsBvarf08eB3yLKj+vNj8XZo5Y\nTmNuDupE4IHMXA18GLgCc7ONfvE0P9u5CPhn/f1QPtfHtqgGjqaazSIzHwN2jYidux3SRFrS83g1\ncHP9/c3Ae0c6msmzkeoD9pnGc6uZHcNjgIOA+zNzQ2ZuBO4GDhvhOCdFv3j2Yzzn5y7gQ/X3/wKW\nA0cAv6ifMz/nr18sp9j8d6ixnIfMvCEzv1k/3Bt4EnNzYHPEE8zPgUREAPsCv6SK4REM4XN9nNs/\ndgea7R7r6+f+2s1wJtZ+EXET8DqqM7GdGu0ez1OtGa45ZOYrwEvV++//lveJ4SpgXeM16zC2m5kj\nngDnRcQFwHPAZ6je68ZzCzJzGvhP/fBMqg+IY83PheuJ5VlUsdxElZufx9wcSETcA+xJNdN6u7nZ\nTiOeJwAXAOeanwO5HDgXOL1+PJTP9XGeqe7VezamLfsLcHFmfoAqca5l9omUMW1vrhga2/n7EdUl\nzKOBh4CL+7zGeL6KiDiJqpXrPGbHyvxcoDqWZ1DF8jrgQnNzcJl5GFVv+o8xN1vriae/OwcQEacB\n92bmE3O8ZODcHOei+mmqM65iD7Z8yVgNmfl0Zt5Yf/848Czw2ohYVr9kT6o4a2Fe6InhU1RxbJ7B\nGtt5ysxfZ+Yj9cObgf2pYmo85yEijgW+BLwvM1/A/BxYbyzNzcFFxAH1Td3UMZzC3BxYn3huBzxq\nfg7keOCkiPgd1RW+i4ANw8jNcS6qf0V1ZysRcQDwVGa+2O2QJktEfLS+pE5E7E51KWMtdVyBDwK3\ndjS8SXYHVexgJob3A++OiF3q3v9Dgd92NL6JEhE/i4h96oerqe7GNp7zEBG7AJcCJ2Tmv+unzc8B\n9IuludnK4VTtCUTEKmBnqtzs/fwxnvPTL57fMT8XLjM/kpkHZeYhwDVUrbFDyc2x3qY8Ii6hah7f\nBJybmY92PKSJUifBT4BdgaVUl4YeprpktAx4AjgjMzd1NcZxV5/QXQ68EXiZ6uz1VOCH9MQwIk4G\nvkC1BOSVmfnTbkY9vuaI51VUs4MvAhuo4rneeG5ZRJwNrAH+THVpchr4OFWrl/m5AHPEci1Vn6q5\nuUD1cmXXAnsBO1B9/jxI1VJjbi5Qn3h+hSonL8P8HFhErAH+DtzGEHJzrItqSZIkaRKMc/uHJEmS\nNBEsqiVJkqSWLKolSZKkliyqJUmSpJYsqiVJkqSWLKolSZKkliyqJWnCRMSpEbEqIq7veiySpIrr\nVEvSBImIKeCPmRldj0WSNGO7rgcgSVqQa4G9I+I2YL/M3Csi1gLrgbcB+1HtUHki8A7g7sz8NEBE\nfJ1qq90dgbsy88Iu/gOStDWy/UOSJssaYB1wNtVW2sXKzDyBavviq4FzgAOB0yNil4g4BdgjM4/M\nzIOBt0bE8SMeuyRttZyplqTJtKTn8T31138Af8rMFwAiYj3wGuBI4JCIuLP+2V2AfUY0Vkna6llU\nS9Jk6r0h5r9zfA9VEf0S8N3MvGJRRyVJ2yjbPyRpsrwCLKUqlHtnq/spr7kbOLm+0ZGIuCgi3rw4\nQ5SkbY9FtSRNlqeBZ4EHqW443JJpgMz8OVWLyL0RcQ+wEnh8sQYpSdsal9STJEmSWnKmWpIkSWrJ\nolqSJElqyaJakiRJasmiWpIkSWrJolqSJElqyaJakiRJasmiWpIkSWrJolqSJElq6X8sJLztTYbN\nqAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7661bd80f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(12,6)\n",
"title(str(s))\n",
"plot(trace[s][::10].T,'b', alpha=.03);\n",
"xlabel('time')\n",
"ylabel('log volatility')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at the returns over time and overlaying the estimated standard deviation we can see how the model tracks the volatility over time."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7661bbafd0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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pC7seKJif67/1M+hOdGMj//ZnWSLNZoG14dpgFBUzruLJXFXt0jBJuTDFbtK9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rmvxBAy9g3YryvKZgPb+nwDhvr8HgBvp3y24b1/BYY4+e8DZXM0pj6pOxtwzn0tgJ/23v9q5JJR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\nhBBCZuD/AxGDFBnONKtsAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f76668a69b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(returns)\n",
"plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n",
"sd = np.exp(trace[s].T)\n",
"plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n",
"xlabel('time')\n",
"ylabel('returns')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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s7uZ+Li4O17753P329xXy/PmxF8bkijbfOZ8hT/loJPm+j0zbqvIFKgs3wBuB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\n7kvSb3gsFIr4tC02DzDphz0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MpbyQL91POYfrK8bTa7dNSD8IlYX39tYdfzz2LipJ5YpS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3kFQNBQ38qpPvsz7oXb8KWvcOMCKbmQRYxVPLXHuMtajIQjwXoHt3K2yMdXT7BtzAWB/AheLS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3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\njbckSZJUAxtvSZIkqQY23pIkSVIN/gdxVn1AxHWOSAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f76ad5b40b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(returns)\n",
"plot(np.exp(trace[s][::10].T), 'r', alpha=.03);\n",
"sd = np.exp(trace[s].T)\n",
"plot(-np.exp(trace[s][::10].T), 'r', alpha=.03);\n",
"xlabel('time')\n",
"ylabel('returns')\n",
"plt.ylim(0.00, 0.07);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## References\n",
"\n",
"1. Hoffman & Gelman. (2011). [The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo](http://arxiv.org/abs/1111.4246). "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.5.2"
},
"nav_menu": {},
"toc": {
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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