{ "cells": [ { "cell_type": "markdown", "metadata": { "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "source": [ "# Analysis of An $AR(1)$ Model in pyMC3" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.4.1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/junpenglao/anaconda3/lib/python3.6/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 pymc3 as pm\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.style.use('seaborn-darkgrid')\n", "print('Running on PyMC3 v{}'.format(pm.__version__))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "source": [ "Consider the following AR(1) process, initialized in the\n", "infinite past:\n", "$$\n", " y_t = \\theta y_{t-1} + \\epsilon_t,\n", "$$\n", "where $\\epsilon_t \\sim iid{\\cal N}(0,1)$. Suppose you'd like to learn about $\\theta$ from a a sample of observations $Y^T = \\{ y_0, y_1,\\ldots, y_T \\}$.\n", "\n", "First, let's generate our sample." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(seed=1848)\n", "\n", "T = 100\n", "y = np.zeros((T,))\n", "\n", "for i in range(1,T):\n", " y[i] = 0.95 * y[i-1] + np.random.normal()\n", "\n", "plt.plot(y);" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "source": [ "Consider the following prior for $\\theta$: $\\theta \\sim {\\cal N}(0,\\tau^2)$.\n", "We can show that the posterior distribution of $\\theta$ is of the form\n", "\n", "$$\n", " \\theta |Y^T \\sim {\\cal N}( \\tilde{\\theta}_T, \\tilde{V}_T),\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\begin{eqnarray}\n", " \\tilde{\\theta}_T &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1} \\sum_{t=1}^T y_{t}y_{t-1} \\\\\n", " \\tilde{V}_T &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1}\n", "\\end{eqnarray}\n", "$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:01<00:00, 3904.61draws/s]\n", "The acceptance probability does not match the target. It is 0.8859800580282127, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tau = 1.0\n", "with pm.Model() as ar1:\n", " beta = pm.Normal('beta', mu=0, sd=tau)\n", " data = pm.AR('y', beta, sd=1.0, observed=y)\n", " trace = pm.sample(1000, cores=4)\n", " \n", "pm.traceplot(trace);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 0.924 (exact = 0.925)\n", "Std: 0.040 (exact = 0.040)\n" ] } ], "source": [ "mup = ((y[:-1]**2).sum() + tau**-2)**-1 * np.dot(y[:-1],y[1:])\n", "Vp = ((y[:-1]**2).sum() + tau**-2)**-1\n", "print('Mean: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].mean(), mup))\n", "print('Std: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].std(), np.sqrt(Vp)))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as p\n", "from scipy.stats import norm\n", "ax=p.Series(trace['beta']).plot(kind='kde')\n", "xgrid = np.linspace(0.4, 1.2, 1000)\n", "fgrid = norm(loc=mup, scale=np.sqrt(Vp)).pdf(xgrid)\n", "ax.plot(xgrid,fgrid);" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "source": [ "## Extension to AR(p)\n", "We can instead estimate an AR(2) model using pyMC3.\n", "$$\n", " y_t = \\phi_1 y_{t-1} + \\phi_2 y_{t-2} + \\epsilon_t.\n", "$$\n", "The `AR` distribution infers the order of the process by size the of `rho` argmument passed to `AR`. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta]\n", "Sampling 4 chains: 100%|██████████| 6000/6000 [00:02<00:00, 2092.25draws/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with pm.Model() as ar2:\n", " beta = pm.Normal('beta', mu=0, sd=tau, shape=2)\n", " data = pm.AR('y', beta, sd=1.0, observed=y)\n", " trace = pm.sample(1000, cores=4)\n", " \n", "pm.traceplot(trace);" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "source": [ "You can also pass the set of AR parameters as a list. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "autoscroll": "json-false", "ein.tags": [ "worksheet-0" ], "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta2, beta]\n", "Sampling 4 chains: 100%|██████████| 8000/8000 [00:05<00:00, 1464.13draws/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with pm.Model() as ar2:\n", " beta = pm.Normal('beta', mu=0, sd=tau)\n", " beta2 = pm.Uniform('beta2')\n", " data = pm.AR('y', [beta, beta2], sd=1.0, observed=y)\n", " trace = pm.sample(1000, tune=1000, cores=4)\n", "\n", "pm.traceplot(trace);" ] } ], "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": "3.6.5" }, "name": "AR.ipynb" }, "nbformat": 4, "nbformat_minor": 2 }