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@springcoil
Created October 27, 2016 20:03
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Changed the normalizing flow of Stochastic Volatility
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.notebook.set_autosave_interval(0)"
]
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"metadata": {},
"output_type": "display_data"
},
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"name": "stdout",
"output_type": "stream",
"text": [
"Autosave disabled\n"
]
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"source": [
"%autosave 0\n",
"%matplotlib inline\n",
"import sys, os\n",
"sys.path.insert(0, os.path.expanduser('/Users/peadarcoyle/Code/Advanced_PyMC3_Talk/'))\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": "markdown",
"metadata": {},
"source": [
"## Normalizing flows\n",
"In a previous notebook I mentioned normalizing flows. \n",
"This is a method used to get over one of the objections to Variational Inference. \n",
"\n",
"* This work is beta - and is a reviewed and extended version of the work of Taku Yoshioka one of the core-contributors to PyMC3 who's done a lot of the ADVI stuff. "
]
},
{
"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"
]
}
],
"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 0x110c4d358>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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2zngaNfEI2ppq8golyMfUlb0eGCl+Hlm5QdP1HQlPP5lOIxYxEY2YnvCOiiz6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\nCbTdPpPXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110c42b38>"
]
},
"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": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to sigma and added transformed sigma_log_ to model.\n",
"Applied log-transform to nu and added transformed nu_log_ to model.\n"
]
}
],
"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": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration 0 [0%]: ELBO = -53842.81\n",
"Iteration 1000 [10%]: Average ELBO = -998.38\n",
"Iteration 2000 [20%]: Average ELBO = 407.53\n",
"Iteration 3000 [30%]: Average ELBO = 833.27\n",
"Iteration 4000 [40%]: Average ELBO = 956.75\n",
"Iteration 5000 [50%]: Average ELBO = 1009.91\n",
"Iteration 6000 [60%]: Average ELBO = 1042.98\n",
"Iteration 7000 [70%]: Average ELBO = 1066.87\n",
"Iteration 8000 [80%]: Average ELBO = 1081.56\n",
"Iteration 9000 [90%]: Average ELBO = 1089.64\n",
"Finished [100%]: ELBO = 1094.54\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 = ((lambda x: x), tt.nnet.softplus)\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=10000, optimizer=adam, minibatch_tensors=[], minibatches=[], \n",
" observed_RVs=OrderedDict({r: 1}), local_RVs=OrderedDict(), \n",
" global_NFs=[iaf1])"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x12d00c240>]"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Cby81t3j04BNr+/QcM8Zmd1oxIZje9Dm3PdeQNM3M7sWRQsccnhruEgLy9uqd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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12f9b0e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.log10(elbo[1000:]))"
]
},
{
"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": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 2000/2000 [02:27<00:00, 12.18it/s]\n"
]
}
],
"source": [
"with model:\n",
" # Start next run at the last sampled position.\n",
" step = pm.NUTS(scaling=model.dict_to_array(sds)**2, is_cov=True)\n",
" trace = pm.sample(2000, step, start=mu)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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evP+qnJ+hWs/amrzs2lLFq+dHuTQwxZZG6cwjRDHTWv+3QsewFuxtr+HVC6O4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v3cdOU6XnfZap460Muvnz3DUwd6eepALx3ttVy7o4PLzl+a1wNYoZhlglLKbwoh1gLDwP8BdpdX\npMJY1lKDBixrreF56RR65YyTcm0OwculPNq3m/g/W1hZY22lq3ecjk5jbaXrArbZsCYKWbMsM+NX\n+rPL+Uov3JgIUXvxqPP6lGyeDaf5KG8B62rMoXBrltYzMh4mHI2VZI2OLRmJO5wn2+zG3PrlDRnb\nvR4Nn9fDmqX1VPi8jnW2HNcaaqR5d/IxJK3jctXSOkJTUcf2bO+Z6XQdbbV0tNXSNTCRtbiuIXdr\nYxVjk1Msba5J//1lMcRysUu0MzYZSbuGtcnxPzhmn34/cRnp56jwe9m6roXdss9V8otaF7qAUdg7\nH8OiptKfkUinEE/abE0M5/NLVFPVRWS37OOz336e7sFJrt+1io+/bacyrhRzGr/PyzUXruDv33cZ\nf/7WHVxy3hJ6Bif57oNH+Oh//I4v3r2XJ1/qTlvLoVDMEULJYsESuFxKqQP5xamVEbM+4Pd5WLmk\nzjb50UxmQWfqwTKOqKrwsbwls2s3rmhky5pm1+GBTiLks3YLYMfG1rRseIYBaG7f7I2Z3p6p8mia\nhqZp6fcjD4PGyQjJd3JK16G+Jv0YX/K6rF6rbBhelkJwdx4t7T8zZi9Ce7IEjdHm8tbarGvXsg3P\n9SumC9Tms17JuqdH01I1s6a3TX+urrDxXtpcqFOiBbPXVNcT59tgCYmEzDGjaemyLmupsW0/sa9G\nQ40/ta7Q2LbOcl05SYXVTp95MhRNS+hixu/10JBlfKRlp8zjWbNpZWbxYbfPqpb66fE0W8ZMLg/W\nViHEieTnDtNnDdCllOtLJ9rCJBqLc/fDx3nw+bNU+D184KatXHb+0nKLpVC4RtM0tqxtYcvaFkYn\npnjqpR6eOdTLvuOD7Ds+iNdzmE0rG9m2vpVt61vpaK9VyVoU5eYLwP8CfwA8J4S4FXi+vCIVH03D\nMT10PhS0jt70G29trEqlb4dEcoU2m5CrQsj/0rSEom2kx05tNYV72Vywm/NoGmzf0MaJrlFX62Ka\n6yrpGbL3yq1orXVMCpIhW4YcGmuXNVBT5Wd5q7PCbWUm+RIqbQwMJ+xOY55QXr+igY722gzvhGN7\nWTxYtVW+tL9ngjUU03zeFpehdnYyNNZUUGOSM+tYs3qwTJ/bm6pZ2V7nOKYS508YVEYKeI+mpQxP\nv00RXjuMJBJmb5GOzpa1rZzsHstIL+/RNJa31jLmkHzC5/U4erDM98/M6iX1RQsVni0PVi5pN8+K\nFIuE/pEg//OzlzjZPc7y1ho+ePMFrGyvK7dYCkXBNNZW8NrLVvPay1bTOzTJM4d62XN0gMNnRjh8\nZoS7HzlOXbWfjR2NbFzZyIYVDaxeWrwHpULhBinl3UKIH0kpdSHExSTebXvLLZdb3NRLMijUuIqn\nhSwVECNowqq4uznUekon5dgwIOqq/XQOBFy160nL/pbpVTErjsbnbL24tLmazoEATXWV+H0eaqvd\nJR5ozNP7lo30OkoJz1y+yUMKxe0aFpuuTmEOJdW0zBpqWdt13J7uQ/JoWtYMlOkHu0n+Ukg4mt2p\nLKGRlnVE5mPsjGnHL92QPHyXWOJ8yQ7bzfuvTno/bR8VWvbu9Hk1cFiC2NpYhc/nQddBnp3OWz/T\nFPxmZmvpeNYRLaU8PTtiLHyeP9zHN395mGA4yhUXLOMdr96c1wNFoZjrLG2p4aYr13HTlesYm5ji\npZODHDg5xNHOUfYcG0jV1dCAJS01rFlax6oldaxsT/xraXCX2UqhyAchxI3AQSnlCSHEzcB7gReB\n/aT8GnMclwpBsYrhFqJImo+wypFv1tGlzTWMT9prYB6PxnlrmgFcGVgwfT3m67Iq4tYvKnyJMCdj\nFt7cPyuX1NHeXD2d5CIPhW3DikaO56j1k7NJ3RKOVuBtd6NoGqndzcxSGSFnshoAZmM5sc24Tufs\ng/ZNWn8HxXo9WdvJVuvUeo80Et6z7qEJ6msr8pbJ2D2f+qpGzTrzREW28MtcoZnmc2dOrGipAtUX\nbmibzh7q8jqb6ypzTnbM1MPvFqXhl5hgOMp3HzzCky/1UOH38N4btnDltuXlFkuhKCkNtRVcccFy\nrrggMdaHx8Mc7RzhZPcYp3vGOd0b4NlDfTx7aHqRfnWlj1XttXQsqWNVe9L4WlJnm6lLoXCDEOLj\nwC3Au4UQ/7+98w5y4zoP+G/RcSgH3B2u8gopko+kerFMWZQstyi2LLfJJB6NHdsa1xTHdiZ27LiM\nZ5zEnnGJrYydSLLiPnZclNHIRZpxV3ORrVGh9CiapHjkHa/xCq4XIH/sAlzggANwBxwKv9+Qc8Du\nAvu9grfve+8rlwDfxAy9fgD4NPCeKopXNCmn8bbwxmZ25Zr3OhwG+/tb8LodGQsjm7n5Vaq9pMkc\nmKZZ+aLsbUaJTAWDSGQFFkiR4RJiu8+BgRYeOXwGWK/w2McluylUod2SXBEAzRX/0sqVQycsmWKm\nmbt7mgkHPByzKYUlt0HW9Vfu3Vqk5Fz3bwv71x03DCPDZLavPciRU1N5vrTwsULlztX2Xa1NxBeW\n8XtcjNkU1eKn+Ouv7O0I0trsI+BzFb0b0xsLMruwUlTbZfdR1RcBYHnl3HrUFiP4p0nkCIefwm7p\nUuyij9/roq8jtC6tQ4Z5Yy3sYAlb48jgFHfee5jx6UUGOkO87eYDdLXWjV+1IJSNaMjL1fs7uHq/\n6W+YTCYZm17k9Ogsp8ZmGRyb4/TYLM+enubIKfuD3HTi7e8MMdAZZmdXiL6OkChdQrG8EbhGaz2v\nlPokcI/W+k6llAEcrrJsReP3urhyb6ywopJjDrJ3R6TAR0xH+N72THP1jUJhF7q1fS5UqnIF5gRP\n9UbRg5M0eU3lsjcWZDK+lOG7Ugz5J2bnjmeuqJeurtgnnpshV3CElJ9Ixip+6tz60HJbun8hsgN5\nFDvZzWciuFGkyaK+N+v9pRe0pSfjGYpnluJqn1j3xoIE/W6ePjmZ8zvzHSsVj9vJRTtbGZ2cTytY\nhfqYPcx5tjKQxKz/VDCMYs2He0pwR3E5HezuaeboafNZnLK2sufdy+XLmD5nGPg28NGzSzydx09r\nsySSyQz/wIDPjd/jIhbxMT5j1v92RTwWBasCLC6v8oNfHeOnvz8FBrzyBQO86tqBTT1oBKERMQyD\n9oif9oify/fG0seXV9YYmphjcHSWwZFZTo7EOTk6y/DEPI88NQKYD5eeWIBd3WF2dYXZ2R2muzVQ\nkQz3Qt2T1FqnPLBfBHwRwPLFqp5Um8BdZO4bOz6PK2d02qDPzay1Q9Tkc7F/oKXwl5Uwid9qEtaO\nliZcTgfP29eenoz2xIIlTRJLweV0cOkFbTl3l9JssOw90BXimZOTec8XYqP75vRX3SDwQSXInpAW\n2xVSvlrl1v829u85N89yGEaGOaNdGWnyuTN84nIpPZUyWc+XJDqF0+GgJeTjbHyxoPpUqbZva/Yz\nPbecEfHP5TgXnCLXna/cGyMcCbAwu7jOBcZunhkJetYl6C5EMW3hcjjoiDbhMAzcTgcrawmCfjc7\nu8LM2vKj7e1dH42wEoiCVWaePD7BV3+smZhZpCPq59ab9rOnwAqiIAgmHreTgc4wA53nwsgmkklG\nJxc4MTzD8eG4aWY4EmdwdJZfPjYEmBGtBjpC7OwOM9Bp7nK1R/1bzjYv1D2rSqkIEAQuB+4HUEr1\nAw2XTyC7t1+2uy3ndfv6o+kcWuUyl8mYAG3xZ5eaJJclIWgRDvuwtWTGkQIT9ULkKuZGZV9LJDPD\n6pd8R4siG9/tcnDwQCeDo7OcHp/NGaJ9O3POZ9dxdhoD+3XRsC1yYxJ2doaJLyfWhbmvODaZi0ky\nnV4wLFCvlfRbvqA7UxG5dHcbjx4Zte67/nq3lZB4YXZ9jq2BznOLEJvy8SziI1fty296ar/nZhar\nNoMoWGViMr7Ed39xlEeeGsFhGLziYD+vunYgb6I8QRCKw2EYdLY00dnSxMELOwEz3cHpsTmODU1z\nbHiGE8NxjgxOoQfP2dd7PU5624P0tAXobg3Q3Rago8VPS8gnu13nD58EHsN81t2ptR5WSv0l8G/A\nx6sqWQUoViFxOc+tkBdLKaGNq7Gwkcu5PTuq3FYoVPpLL2hjcHSWvvbSd9kcDoP2qJ+xqQV62gL4\nfa4NzejaIj7mbZP0zY5nqflJwFecstHV2oTX7Sg55H5PLFhUlMViyS5tPjM5w4C+jtA5Bcswd0cv\nioUYG4uvu3ZbKfB7MtKX1U4K2kzltbTP5luACfmLM0VeW9taPWy4O10hRMHaIssra9z3u0F++PAJ\nllcS9HeEePPL9+XMFi8IQnlwOR30d4bo7wzxIuvYwtIqz52Jc3LEDKJxciTOsdMzHD01nfVZg1jE\nTyzip7XZR1uzj9awj1brbzjgkZ2vBkFr/T2l1ENAm9b6cevwLPBWrfUvqidZZbCHey53H86e57VH\nmli0TXrst3O7HOzqMvMybRe5JvFX72/Pu8KfUjLL5c/p97rY21vYWiXXfNlhGHjdDq6wmUvnYl9f\nFK/bidfj5KnjZ9PHIyVGaUzR1uwjkUgWHeXR5XTQHi0+z1aKoN/N/v4Wnn7ubOGLiyDb7DW7TlOB\nLRwOM8jFhQMtjE4uFJ27atNsoAOUvBebZwOr2urW3h0RpmaX0yaAKeU211JGrgiUkJ1PrLi+t+Xc\nflXw0BEFa5OsriV4+Kkz3PPACSZmFgk3ubnlpXs5dHGXrI4LQhXwe13s64+mQzgDrKwmGDk7z+nx\nOYbG5xidWmB0cp7RyQWGJ3InZ3Q5DVrCPmLNPmIRM0FqR7SJztYm2iP+LTtoC9uL1noIGLK9/1EV\nxako9lXaXd3hDa60U9zEJXslfWdXiOZogPsfOgas31UodSK+VX0wl+N6IfOpYhSi7aBYMy+3y5E2\nZVyzoq+1hn2bVqYNw6CjpXSFaVOUcSfG73XxvH3t/O4Z01wtu/yX74mxsppIHw81eXKaNdopx6xt\noxI6S/TBb7LaubXSSmGJtIR9GYrq3KJpae33rl+ouKA7jM/jZHZ+JSOP1WaeoFtXsGQHq+ZZSyR4\n+MkR7n3oBKNTC7icBjde3cvNL9hZcnQjQRAqi9vlYIcV7j2b+cUVxqcXmZhZZCL1d2bJfD29wFMn\nJoFMx3XDgFjET28sSE8sQG97kL6OEG3NPsnhJWw7fo+LheVV2sJ+vB5nhpJR7h2s7GjKhmFk7f5U\nr//nWj23T6gPDLRw+MQWd0+quHWwu7uZ8enF9KQbTJPI4bOrJUd7bBScDjMwSXx+ed3cy+1ylLwQ\nlq95L9nVyuPHJtjVXTgwwvj0Art7cl+XnUy4EB0tTfg8LiLB2m7flVUz6EUuH0bDMNhhBaZZWDrn\n8rqwvHGQDzv7+1sYGp/bsqJZDasU0QiKJD6/zK8fH+bnfzjFxMwSLqfBi67o4aaD/ZXfdhYEoew0\n+dz0+dz0deQ2511aXmNseoGxqQVGzi5w5uwcwxPzDI3P8eiRMR49Mpa+NuBz2ULJh9nVHS45uaog\nlMqeHebEe0csmF6hbfK6mF9aLej/m5rwFeu3VUu+INlkR+jtiDZlmOmHC+xebEQqGplRphVw+0S0\ns6UpI0BGPtqsnXQ7vR1mcvbtCjm9VUIBD5GAl/Zoaf5bG+H3urYUnMROvnxMTT43Bw90bvn7XSXa\nqDkMI+MZ0tseYnA0TiSHQr2rK8yx4Zn0+45NmHFullS9FRpHfB4nbc1+WkJeJuPF++M1BzxlWUSo\nxgKoKFgbkEgmeXZwigefOMNvnh5hZTWBx+0QxUoQzgO8Hic7YsH0ClyKZDLJ1Owyp8ZmOTU6y3Mj\ncU4Mxzl8YpLDJ87teEWCnrSytau7mYHOUNkmA4IA5xYJ7BwYaGFucbXgxLuvPUgyCTtiReZmLBjN\nrLivyfv5LeyAxSKZz2KP27luxToa9NLeVnoeyv39UYYn5ukok2Jg322xR0stFYdhFDR7qyUchpFh\nvl1rbJDvNi9X7ImxuLzGYcu3bCMlI3sHq9Tb9bQF6MnTf9ujTYxMLjC3uEI06MEfLiIAAA2jSURB\nVGVn1+b7VamkFKxCv3/DMNK7e/aQ6eVg747IOgU513pQuMmzLnx8JZGnfRaJZJITw3F+/8wov3l6\nJK1pt0f9vPiKHRy6uHNbHXcFQagtDGtlMRrycvGu1vTx+cUVjp+Jc2J4hmNDMxwbnuGPz47zx2fH\nrc9Bd2uAnV1mwuSBrjA7YkHx6RLKisvpKGrF1+1y5jVnspMKGLBVH4hKkkqSvKcnwvHhGWLN6xc/\nVV+UWI7ocYVo8rm5oIh6EuqTPT0RRibnCW1iJ9DjdmbsFPd15I8gaU/WrHqjLK8WbyZXy6TGhVJM\n8LrbAgxNzJVNhmI3Ow4Uk++vjIiCBczML6NPTvH40XGeODbBzLypXfu9Lq67pIuDBzpQ/VGJLCYI\nQl6afG4uHGjhQtsgfnZmMa1sHRua4bkzcU6Pz/HAE8OAGZSgJxZgoDNEb3uIvg5zx0x2uoRawTAM\nSCa3Nc9RqaTMf1qbzWigglAs5ewzG5mhORwGBwZa8LrMKJAjk7mDLNUbqXGhlCAS2Sa9jcp59xRP\nJJKcOTvP8eEZ/nR6Gj04lRFNLBzwcOjiLi7b08bFu1pldVkQhE2TiriUSoCYSCQZmpjj+NAMJ0bi\nVlj5WU6OzALD6c+1NfvYYQXS6G4L0NVq5gHbTvMGQQBbPp48Rk2X744RX1iuyqJANOjdlGmXUHma\nA+efD2ohFcPuC5j6vTSXycyzWsv/HpeDpdU1mSvn4Lx5Ws/ML3PnvYd59tQ0S7YIJl63kwt3trC3\nN8JFO1vo7wzJTpUgCBXB4TDSfl3XWcdW1xIMT8wzOBpncNRUtk6PzfLY0XEeOzqe8floyEtH1E97\n1Mzj1R5tMnN4hb2EJH+XUAFSq/L5drC8HideT/kCF5SC6qtdn57zjd6OEM+dnmJXVxgMM/DP+UYp\nw2+4ycOFAy1liz6dCsKy3cEc9vVHGZ1coL3E5NOVpicW4LmReFXD3FfsF6CUcgBfBC4FljATOx61\nnb8Z+CiwCtyltb6jUrIALCyucnxohtawj52dpv/Dru4wfR3BoqMoCYIglBuX00FvezDtR5JiZm45\nnb/rzMQ8w2fnOHN2nmdOTvHMyamc3xMJeogEvUSCHpoDXkIBt5kDxu8m4HcT8Llo8rrw+1z4PE4Z\n+4SCpCx/atkHS6g+fq+Ly3a3VVuMqrCnJ8Lp8bmiIkLaKWeQkl1dYU6OxOnPExW3Uvi9royInbVC\nV2uA9qi/qs+4Si4xvAbwaa2vUUodBD4DvBpAKeUGPgc8D5gDHlRK3aO1HqmUMB0tTdz2nusr9fWC\nIAhlJRzwEA542J8VeWt5ZY2x6UXGJs0Q8hMzi5ydMfN4Tc0uc2xopujJsNvlwOdx4nE58bgduJ0O\n3G4HTocDl9PA6XDgdBgYhrn75jCs19bflGGKYVivrMm4YRhcc6CD/dvsVCyUn+agl9GpeQIVDu5k\nGGYo62i48U3LLtrZytpaotpiCGWiFnz//F5XXe7oVnLdptoLiJVUsA4BPwHQWj+ilLrKdm4/cFRr\nPQmglHoAuB74bgXlEQRBqHs8bueGIXsTiSTxhRWmZ5eIz68Qn18mPr/C3OIK84urzC2usrC0yuLy\nKovLaywur7GyusbcwgrLqwlWVhOslcOxJUlDKFhKqecDn9Ja31BtWarBQGeIaMhb8YSnhmGkfRUb\nnXrJXSUIlaKvPcTJ0TjNNZ5IeStUUsEKA9O292tKKZfWejXHuTggcVAFQRC2iMNhbDk5YzKZZC2R\nZG3N/JsK051MJNNBBVJ5R5Iksf5Z703aGiBPoFLq/cAbMS0tzkscDkOSZguCUFa62wJ0tjSVFH2w\n3qikgjUD2A0zHZZyletcCFjvVCAIgiBsO4Zh4HIauJyFr21w/gS8Dvh6MRdHo024ylBpsVjt+TTk\no55khfqSt55khfqSt55khfqSV2Q1qaSC9SBwM/C/lg/WE7ZzTwN7lFItwCymeeCnKyiLIAiCIJSE\n1vr7SqmBYq+fLENum80kw60W9SQr1Je89SQr1Je89SQr1Je856Os+ZS0SipYdwMvU0o9hOn6/Bal\n1C1AUGt9u1LqfcB9gAMziuDpCsoiCIIgCIIgCIJQcYykhF4VBEEQhJxYO1jf1lofrLYsgiAIQn0g\nSVAEQRAEQRAEQRDKhOxgCYIgCIIgCIIglAnZwRIEQRAEQRAEQSgTomAJgiAIgiAIgiCUCVGwBEEQ\nBEEQBEEQyoQoWIIgCIIgCIIgCGVCFCxBEARBEARBEIQyUclEwxVHKfV84FNa6xuyjt8MfBRYxUxi\nfEcVxCsbG5TzvcBbgTHr0Du01nqbxdsSSik3cBcwAHiBT2it77Gdr/u2LKKMdd+OAEopJ3AHoIAk\n8E6t9ZO2843QloXK2BBtCaCUagceBV6mtX7Gdrzu27HWUEo5gC8ClwJLwFu11kerK1XusQsYBO4F\nnrUu+5LW+jtKqbcB78DsF5/QWt+7/RKDUuoPwIz19jjwr8BXMH+vTwJ/q7VOVFtepdSbgTdbb33A\nZcA11GDd2ucgSqndFFmfSik/8A2gHYgDb9Jaj+W8SWVkvQy4DVjD/F39tdZ6RCn1eeCQJRPAq4Hl\nKst6OUW2fTXqNYe83wY6rVMDwCNa69dXu27zjFmHqUKfrdsdLKXU+4E7MQcm+3E38Dngz4AXAm9X\nSnVsv4TlIV85La7EHDBusP7X40TuDcCE1vo64M+B/0ydaKC2zFtGi0ZoR4CbAbTW1wIfxpzYAA3V\nlnnLaNEQbWm1138DCzmON0I71hqvAXxa62uAfwY+U2V5UuQau64EPmvr499RSnUC7wauBW4E/l0p\n5d1uYZVSPsCwyfYW4LPAh60yGMCra0FerfVXUnJiLmS8mxqs2xxzkFLq813AE9a1X8McM7dT1s8D\nf2/V8Q+AD1jHrwRutNXzdA3IWkrbb6usueTVWr/eqtfXAlPAe23lqGbd5hqzqtJn61bBAv4EvC7H\n8f3AUa31pNZ6GXgAuH5bJSsv+coJZkf+oFLqAaXUB7dRpnLyXeAj1msDcyUhRaO05UZlhMZoR7TW\n/we83XrbjznopmiItixQRmiQtgQ+DfwXMJR1vCHasQY5BPwEQGv9CHBVdcVJk2vsuhK4SSn1K6XU\nl5VSIeBq4EGt9ZI1oToKXFIFeS8FmpRS9yulfqaUOmjJ+0vr/I+Bl9aQvCilrgIu1FrfTm3WbfYc\npJT6TPdr27XbKevrtdaPWa9dwKK1W7wHuF0p9aBS6lbrfLVlLaXtt1vWXPKm+Dhwm9Z6uEbqNt+Y\nte19tm4VLK3194GVHKfCwLTtfRxo3hahKsAG5QT4NvBO4MXAIaXUK7dNsDKhtZ7VWsetweR7ZK4W\nNERbFigjNEA7ptBaryqlvopplvFN26mGaEvYsIzQAG1pmS6Naa3vy3G6Ydqxxsiu1zWlVNVN+POM\nXb8F/klrfT1wDPgYtdMv5jEXB27E/B1+E3NHK5klV63IC/AhzEkq1GDd5piDlFKf9uMVlztbVq31\nMIBS6gXA32Huvgcwx+43YO5w/I1S6pJqy0ppbb+tsuaRN2VG/hJM8zuogbrNM2ZVpc/WrYK1ATNA\nyPY+xPpV5rpHKWUA/6G1HrdWkn8IXF5lsTaFUqoX+Dnwda31t2ynGqYt85Wxkdoxhdb6TcBe4A6l\nVMA63DBtCbnL2EBteSvwMqXULzD9Qr5mmVNAg7VjDZFdrw6tdfZOd1XIMXbdrbV+1Dp9N2Yfr5V+\ncQT4htY6qbU+AkwAdhPWlFw1Ia9SKgIorfXPrUO1XLcpErbXherTfrxadfxXmLvxN1m+NPPA57XW\n81rrOPAzzJ3PastaSttXW9YUfwF8S2u9Zr2vibrNMWZVpc82ooL1NLBHKdWilPJgmq88XGWZKkEY\neFIpFbQmdi/GtOOuKyz/jfuBD2it78o63RBtWaCMDdGOAEqpN9rM4uYxB7XUwNYobblRGRuiLbXW\n12utX2jZ1z+G6VN2xjrdEO1YgzwIvALAMmt7orrimOQZu+5TSl1tvX4JZh//LXCdUsqnlGrGNCV9\nct0XVp5bsfzXlFLdmL/J+5VSN1jnXw78mtqR93rgp7b3tVy3Kf5YQn2m+7Xt2m1DKfUGzJ2rG7TW\nx6zDe4EHlVJOy6f0EPCHastKaW1fbVlTvBTTjC5F1es2z5hVlT5bdROEcqGUugUIaq1vV0q9D7gP\nU4G8S2t9urrSlY+scn4IU0tfAn6qtf5RdaXbFB8CosBHlFIpu9k7gEADtWWhMjZCO4LpRPw/Sqlf\nAW7gPcBrlVKN9LssVMZGacsMzpfxtYrcjblr+BCm38BbqixPilxj1/uAzymlVoAzwNu11jNKqS9g\nTkYcwL9orRerIO+Xga8opR7AjBh2KzCOudPswVwg+J7Weq1G5FWY5mAp3gXcVqN1m+IfKbI+lVJf\nAr5qtccycMt2CanMiK9fAE4CP1BKAfxSa/0xpdTXgUcwTd6+prV+Sil1vFqyWhTd9tWs1ywy+q/W\n+ukaqNtcY9Y/AF/Y7j5rJJPJwlcJgiAIgiAIgiAIBWlEE0FBEARBEARBEISqIAqWIAiCIAiCIAhC\nmRAFSxAEQRAEQRAEoUyIgiUIgiAIgiAIglAmRMESBEEQBEEQBEEoE6JgCYIgCIIgCIIglAlRsARB\nEARBEARBEMrE/wN9BzdRgOxjqwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12815cc50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(12,6)\n",
"pm.traceplot(trace, model.vars[:-1]);"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1183b55c0>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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NJqqREOLhIcFcwm1285uViJQYFUKIxSPBLIQoYylNQ57nf9XM/uoyrl2XSaJ1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Di85Gvo6PjcqIT5ebDwIpURmZaTEkfqLNAOtpAqtzBK3fGXWhClLQEJkTr1Xtqq2WwQlIcPRxfJ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\ncbZIKh5oAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c0af320>"
]
},
"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": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x118d2d320>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KSIYIWPHsyfMhZTLbhD5fX6PrvrnCIiSmWGK/tffd1b51PUt9uWyMiAztvbSl6/rc1p7F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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12e61bc88>"
]
},
"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": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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mvGtiE5oG4z2hqkV4OicO+nr0I4pla88UyC/U7QaprhIjH7Ge9Mk2sxLpp4W2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\n3uP0Ts3R3LFZG7K+QTmDmU7h0WNwUKUd2/kB6wcHhFWF+nQ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WhMbaq4L8194Z8qb7h2dh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F1J1TB1hANIM8ZRhllI2kap5slSQloSjGI8kVEsFhhJCU095munlQoIHXUNMocoA1NQCUGVxCAN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\n62ew8QpGO81XfX55ozcNM2RVs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0Ftn3llb6rtrh8mQbGqn/7kb77ID//801MafdU3BdBO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\njBBn38F8TrAVxlb0xkHQ+CQl2d/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QBpGDUqS+RQWPrdfMqgssjgTPeeLQsxlcLKA7AQZ7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"text/plain": [
"<matplotlib.figure.Figure at 0x12f2b6ef0>"
]
},
"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(-0.07, 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": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:pymc3_dev]",
"language": "python",
"name": "conda-env-pymc3_dev-py"
},
"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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