Created
August 1, 2025 17:15
-
-
Save tbrown122387/619569f0519c92062647199217837541 to your computer and use it in GitHub Desktop.
Module 12
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "cc4eac79-ebd8-4015-bcc9-cd5d0162aed2", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "# Module 12\n", | |
| "\n", | |
| "## DS-6040\n", | |
| "### Bayesian Machine learning\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "19fcc570", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Today's plan\n", | |
| "\n", | |
| "State space models (SSMs) and hidden Markov models (HMMs)!\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "id": "5f47ea0b-f7af-44af-a2d1-bea41d32d95a", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import pandas as pd\n", | |
| "import numpy as np\n", | |
| "import os\n", | |
| "from cmdstanpy import CmdStanModel\n", | |
| "import matplotlib.pyplot as plt" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "b70aff54-2ece-4f1c-bb78-b83ca7e14c87", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Motivation\n", | |
| "\n", | |
| "In the last two modules we discussed **finite mixture models** and **hierarchical models.**\n", | |
| "\n", | |
| "Both were special cases of **latent variable models**. Each model's latent variables had different interpretations.\n", | |
| "\n", | |
| "Today we will generalize the probabilistic structure of the latent variables in a way that is suitable for a massive collection of time series models." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "9a6ac852-9451-4fe9-a214-2dfb29a747ce", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## High-Level View\n", | |
| "\n", | |
| "In the past two modules *and in this module*:\n", | |
| "\n", | |
| "the **complete data likelihood** : \n", | |
| "\n", | |
| "$$\n", | |
| "L(y_{1:n}, z_{1:n} \\mid \\theta)\n", | |
| "$$\n", | |
| "\n", | |
| "and the **observed data likelihood**: \n", | |
| "$$\n", | |
| "L(y_{1:n} \\mid \\theta) = \\int L(y_{1:n}, z_{1:n} \\mid \\theta) \\text{d}z_{1:n}\n", | |
| "$$\n", | |
| "\n", | |
| "\n", | |
| "The marginal posterior $\\pi(\\theta \\mid y_{1:n}) \\propto L(y_{1:n} \\mid \\theta) \\pi(\\theta)$\n", | |
| "\n", | |
| "The joint posterior $\\pi(\\theta, z_{1:n} \\mid y_{1:n}) \\propto L(y_{1:n}, z_{1:n} \\mid \\theta) \\pi(\\theta) $\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "6ef4bea0-1582-4928-9a8c-f04388e727b9", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## High-Level View\n", | |
| "\n", | |
| "The difference today--for SSMs and HMMs--is how we write the **complete data likelihood**.\n", | |
| "\n", | |
| "With FMMs and Hierarchical Models, there are two core assumptions:\n", | |
| "\n", | |
| "1. The observations are independent given the latent variables, and\n", | |
| "2. The latent variables are independent given the parameters.\n", | |
| "\n", | |
| "So the **observed data likelihood**: \n", | |
| "\n", | |
| "\n", | |
| "$$\n", | |
| "L(y_{1:n}, z_{1:n} \\mid \\theta) = \\prod_{i=1}^n g(y_i \\mid z_i, \\theta) f(z_i \\mid \\theta) \n", | |
| "$$\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "id": "db67b2da-9896-4624-978c-a23d242cf59a", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "width": 800 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# arrows represent conditional distributions\n", | |
| "# parameters are not pictured\n", | |
| "from IPython.display import Image, display\n", | |
| "display(Image('pics/diagram1.png', width=800))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "52da3f69-9f22-49f3-b787-00940ee70fcb", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "width": 500 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# or in plate notation...\n", | |
| "from IPython.display import Image, display\n", | |
| "display(Image('pics/diagram1_plate.png', width=500))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "7747a48f-61eb-47ba-9c6d-44902041126c", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## High-Level View\n", | |
| "\n", | |
| "With State Space Models (SSMs) and Hidden Markov models (HMMs) we still assume \n", | |
| "\n", | |
| "1. The observations are independent conditioning on the latent variables.\n", | |
| "\n", | |
| "However, we assume the latent variables aren't independent--**they follow a Markov chain.** \n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "1f501e36-3b3f-4b1c-a23f-d5d3de1336b0", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## High-Level View: HMMs and SSMs\n", | |
| "\n", | |
| "1. The observations are independent conditioning on the latent variables, and\n", | |
| "2. the hidden bits are a Markov chain.\n", | |
| " \n", | |
| "So the observed data likelihood: \n", | |
| "\n", | |
| "$$\n", | |
| "L(y_{1:n}, z_{1:n} \\mid \\theta) = \\prod_{i=2}^n g(y_i \\mid z_i, \\theta) f(z_i \\mid z_{i-1} \\theta) g(y_1 \\mid z_1, \\theta) f(z_1 \\mid \\theta)\n", | |
| "$$\n", | |
| "\n", | |
| " - The state transition distributions are $f(z_t \\mid z_{t-1}, \\theta)$\n", | |
| " - The observation/emission distributions are $g(y_t \\mid z_{t}, \\theta)$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "id": "629e9e60-cb20-4d6a-8986-32e64f184d7e", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "width": 800 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from IPython.display import Image, display\n", | |
| "display(Image('pics/diagram2.png', width=800))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "54298e2a-8366-4ebf-ac8a-3cb0629a1217", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## SSMs and HMMs\n", | |
| "\n", | |
| "With SSMs and HMMs, the $z_i$ can represent anything you want! The world is your oyster!\n", | |
| "\n", | |
| " - Each $z_i$ can take on a finite collection of values,\n", | |
| " - *or* each $z_i$ can be take on real values,\n", | |
| " - *or* each $z_i$ can have a mix of elements in a variety of state spaces,\n", | |
| " - each $z_i$ can be any dimension.\n", | |
| "\n", | |
| "NB: generally *HMM* refers to the case when $z_i$ take elements in a finite state space (e.g. $\\{1,2,3\\}$).\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "d9cf4d1e-a8ab-4291-9ed9-220092d3ada7", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## SSMs and HMMs\n", | |
| "\n", | |
| "Recall \n", | |
| " - The state transition distributions are $f(z_t \\mid z_{t-1}, \\theta)$\n", | |
| " - The observation/emission distributions are $g(y_t \\mid z_{t}, \\theta)$\n", | |
| "\n", | |
| "1. When $f$ and $g$ are Linear and normal, we have a Linear Gaussian SSM\n", | |
| "2. When $z_i$ takes on a finite collection of values, we have a classical HMM.\n", | |
| "3. There are a large variety of algorithm extensions for models that fall outside these two categories.\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "e9ee12d7-5468-4892-9d98-f408f35635fc", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## SSMs and HMMs\n", | |
| "\n", | |
| "Goals for frequentists and Bayesians alike:\n", | |
| "\n", | |
| "- Parameter inference: $\\pi(\\theta \\mid y_{1:n})$\n", | |
| "\n", | |
| " - Joint inference: $\\pi(\\theta, z_{1:n} \\mid y_{1:n})$\n", | |
| "\n", | |
| " - Smoothing: $p(z_{1:n} \\mid y_{1:n}, \\theta)$\n", | |
| "\n", | |
| " - Filtering $p(z_t \\mid y_{1:t}, \\theta)$ as $t \\to \\infty$ (recursive maybe realtime)\n", | |
| "\n", | |
| " - Forecasting: $p(y_{t+1} \\mid y_{1:t})$ as $t \\to \\infty$ (recursive maybe realtime)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "dba80378-b013-4a5a-a00a-728e9fb6574c", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Algorithms\n", | |
| "\n", | |
| "We will focus on the first two\n", | |
| "\n", | |
| " - Parameter inference: $\\pi(\\theta \\mid y_{1:n})$\n", | |
| "\n", | |
| " - Joint inference: $\\pi(\\theta, z_{1:n} \\mid y_{1:n})$\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "b7c54641-1699-4414-9819-ecce84bca7bd", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Algorithms\n", | |
| "\n", | |
| "Just like before, we can use the complete-data likelihood or the observed-data likelihood. There are a variety of challenges, though.\n", | |
| "\n", | |
| "If we use $L(y_{1:n} \\mid \\theta)$:\n", | |
| " - it is only available when $f$ and $g$ satisfy certain assumptions.\n", | |
| "\n", | |
| "If we use $L(y_{1:n}, z_{1:n} \\mid \\theta)$:\n", | |
| " - Can only be done in `stan` if $z_i$ have continuous elements\n", | |
| " - Can take a long time because $\\pi(\\theta, z_{1:n} \\mid y_{1:n})$ can be so high-dimensional, `stan` or no `stan`\n", | |
| "\n", | |
| "**Most people study specific types of HMMs and SSMs because model assumptions strongly dictate what algorithms you can use.**\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "bfdcaac4-dbd1-4a97-971d-027571a5d5e5", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 1: A Linear Gaussian SSM\n", | |
| "\n", | |
| "In this first example, $z_t$ will represent an unobserved true \"signal\" or \"position\" or a \"moving intercept.\"\n", | |
| "\n", | |
| "The observed $y_t$ is equal to $z_t$ plus noise. \n", | |
| "\n", | |
| "We might want to infer the true value of $z_t$ in realtime, or we may want to understand how much noise is added by the observational process, or..." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "94d92780-0e1b-4afd-a7de-24a52cd57949", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 1: A Linear Gaussian SSM\n", | |
| "\n", | |
| "Suppose we have the following linear Gaussian SSM:\n", | |
| "\n", | |
| "$$\n", | |
| "y_t = z_t + \\epsilon_t \\hspace{10mm} \\text{ or } \\hspace{10mm} g(y_t \\mid z_t, \\theta) = \\text{Normal}(z_t, \\sigma^2_{\\epsilon})\n", | |
| "$$\n", | |
| "and\n", | |
| "$$\n", | |
| "z_t = z_{t-1} + \\eta_t \\hspace{10mm} \\text{ or } \\hspace{10mm} f(z_t \\mid z_{t-1}, \\theta) = \\text{Normal}(z_{t-1}, \\sigma^2_{\\eta})\n", | |
| "$$\n", | |
| "\n", | |
| "and to start $z_1 \\sim \\text{Normal}(\\mu_0, \\sigma^2_\\eta)$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "id": "84eb4196-3281-45c7-9e55-4af31f15923d", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<Axes: >" | |
| ] | |
| }, | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fake_z = np.cumsum(np.random.normal(size=100))\n", | |
| "fake_y = np.random.normal(loc = fake_z, scale = 1.5)\n", | |
| "pd.DataFrame({'z':fake_z,'y':fake_y}).plot()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "c0625fc2-e031-46bc-9d01-5fab4c2af941", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 1: A Linear Gaussian SSM\n", | |
| "\n", | |
| "Because everything is Linear and Gaussian:\n", | |
| "\n", | |
| " - This type of SSM **permits a Kalman filter to be used**\n", | |
| " - a Kalman filter is just repeated application of Bayes rule on hidden states (Normal-Normal conjugacy!)\n", | |
| " - a byproduct of the Kalman filter is the observed data likelihood $L(y_{1:n} \\mid \\theta)$\n", | |
| "\n", | |
| "Implementation is in `linear_gaussian_ssm.stan`" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "id": "966803e2-6726-4a69-877c-d9d94ec57d74", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "model_code = os.path.join('.', 'linear_gaussian_ssm.stan')\n", | |
| "model1 = CmdStanModel(stan_file=model_code)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "id": "4a3715f5-cd3f-466e-8d87-e277715556f7", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "10:15:53 - cmdstanpy - INFO - CmdStan start processing\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "f6c78d8a1fc84adc8d870bd38e26a9c4", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 1 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "e6fad807f29c49fea95a9167a3a377e6", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 2 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "99c06894e4e34fe29508209ebb8ec366", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 3 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "9828aa5a06bd439f9dec3305219e8137", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 4 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| " " | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "10:15:54 - cmdstanpy - INFO - CmdStan done processing.\n", | |
| "10:15:54 - cmdstanpy - WARNING - Non-fatal error during sampling:\n", | |
| "Exception: normal_lpdf: Location parameter is -nan, but must be finite! (in 'linear_gaussian_ssm.stan', line 50, column 4 to column 76)\n", | |
| "Exception: normal_lpdf: Location parameter is -nan, but must be finite! (in 'linear_gaussian_ssm.stan', line 50, column 4 to column 76)\n", | |
| "\tException: normal_lpdf: Location parameter is -nan, but must be finite! (in 'linear_gaussian_ssm.stan', line 50, column 4 to column 76)\n", | |
| "\tException: normal_lpdf: Location parameter is -nan, but must be finite! (in 'linear_gaussian_ssm.stan', line 50, column 4 to column 76)\n", | |
| "\tException: normal_lpdf: Location parameter is -nan, but must be finite! (in 'linear_gaussian_ssm.stan', line 50, column 4 to column 76)\n", | |
| "Consider re-running with show_console=True if the above output is unclear!\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "my_dict = {'T' : len(fake_y), 'y' : fake_y}\n", | |
| "fit1 = model1.sample(data = my_dict)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "id": "5a6695d6-8453-41f4-b420-242ed8fd6345", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "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>MCSE</th>\n", | |
| " <th>StdDev</th>\n", | |
| " <th>5%</th>\n", | |
| " <th>50%</th>\n", | |
| " <th>95%</th>\n", | |
| " <th>N_Eff</th>\n", | |
| " <th>N_Eff/s</th>\n", | |
| " <th>R_hat</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>lp__</th>\n", | |
| " <td>-215.307000</td>\n", | |
| " <td>0.027206</td>\n", | |
| " <td>1.232210</td>\n", | |
| " <td>-217.821000</td>\n", | |
| " <td>-214.976000</td>\n", | |
| " <td>-213.971000</td>\n", | |
| " <td>2051.35</td>\n", | |
| " <td>1146.64</td>\n", | |
| " <td>1.002620</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>mu0</th>\n", | |
| " <td>-0.124879</td>\n", | |
| " <td>0.015257</td>\n", | |
| " <td>0.789875</td>\n", | |
| " <td>-1.381050</td>\n", | |
| " <td>-0.149056</td>\n", | |
| " <td>1.224640</td>\n", | |
| " <td>2680.15</td>\n", | |
| " <td>1498.13</td>\n", | |
| " <td>0.999334</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>log_sigma_eps</th>\n", | |
| " <td>0.355583</td>\n", | |
| " <td>0.002119</td>\n", | |
| " <td>0.110641</td>\n", | |
| " <td>0.174280</td>\n", | |
| " <td>0.358822</td>\n", | |
| " <td>0.535485</td>\n", | |
| " <td>2726.04</td>\n", | |
| " <td>1523.78</td>\n", | |
| " <td>1.000840</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>log_sigma_eta</th>\n", | |
| " <td>0.066652</td>\n", | |
| " <td>0.003340</td>\n", | |
| " <td>0.167004</td>\n", | |
| " <td>-0.207420</td>\n", | |
| " <td>0.065020</td>\n", | |
| " <td>0.340882</td>\n", | |
| " <td>2500.80</td>\n", | |
| " <td>1397.88</td>\n", | |
| " <td>1.001950</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>sigma_eps</th>\n", | |
| " <td>1.435720</td>\n", | |
| " <td>0.002980</td>\n", | |
| " <td>0.158070</td>\n", | |
| " <td>1.190390</td>\n", | |
| " <td>1.431640</td>\n", | |
| " <td>1.708280</td>\n", | |
| " <td>2814.22</td>\n", | |
| " <td>1573.07</td>\n", | |
| " <td>1.000750</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>sigma_eta</th>\n", | |
| " <td>1.083940</td>\n", | |
| " <td>0.003651</td>\n", | |
| " <td>0.182397</td>\n", | |
| " <td>0.812678</td>\n", | |
| " <td>1.067180</td>\n", | |
| " <td>1.406190</td>\n", | |
| " <td>2495.28</td>\n", | |
| " <td>1394.79</td>\n", | |
| " <td>1.001970</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " Mean MCSE StdDev 5% 50% \\\n", | |
| "lp__ -215.307000 0.027206 1.232210 -217.821000 -214.976000 \n", | |
| "mu0 -0.124879 0.015257 0.789875 -1.381050 -0.149056 \n", | |
| "log_sigma_eps 0.355583 0.002119 0.110641 0.174280 0.358822 \n", | |
| "log_sigma_eta 0.066652 0.003340 0.167004 -0.207420 0.065020 \n", | |
| "sigma_eps 1.435720 0.002980 0.158070 1.190390 1.431640 \n", | |
| "sigma_eta 1.083940 0.003651 0.182397 0.812678 1.067180 \n", | |
| "\n", | |
| " 95% N_Eff N_Eff/s R_hat \n", | |
| "lp__ -213.971000 2051.35 1146.64 1.002620 \n", | |
| "mu0 1.224640 2680.15 1498.13 0.999334 \n", | |
| "log_sigma_eps 0.535485 2726.04 1523.78 1.000840 \n", | |
| "log_sigma_eta 0.340882 2500.80 1397.88 1.001950 \n", | |
| "sigma_eps 1.708280 2814.22 1573.07 1.000750 \n", | |
| "sigma_eta 1.406190 2495.28 1394.79 1.001970 " | |
| ] | |
| }, | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "fit1.summary()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "id": "e884fcef-c4a4-4f8c-8949-15ae63ad550f", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "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>chain__</th>\n", | |
| " <th>iter__</th>\n", | |
| " <th>draw__</th>\n", | |
| " <th>lp__</th>\n", | |
| " <th>accept_stat__</th>\n", | |
| " <th>stepsize__</th>\n", | |
| " <th>treedepth__</th>\n", | |
| " <th>n_leapfrog__</th>\n", | |
| " <th>divergent__</th>\n", | |
| " <th>energy__</th>\n", | |
| " <th>mu0</th>\n", | |
| " <th>log_sigma_eps</th>\n", | |
| " <th>log_sigma_eta</th>\n", | |
| " <th>sigma_eps</th>\n", | |
| " <th>sigma_eta</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>1.0</td>\n", | |
| " <td>1.0</td>\n", | |
| " <td>1.0</td>\n", | |
| " <td>-214.235</td>\n", | |
| " <td>0.956230</td>\n", | |
| " <td>0.644861</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>7.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>216.344</td>\n", | |
| " <td>-0.460666</td>\n", | |
| " <td>0.386361</td>\n", | |
| " <td>0.153003</td>\n", | |
| " <td>1.47162</td>\n", | |
| " <td>1.165330</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>1.0</td>\n", | |
| " <td>2.0</td>\n", | |
| " <td>2.0</td>\n", | |
| " <td>-213.987</td>\n", | |
| " <td>0.992918</td>\n", | |
| " <td>0.644861</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>7.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>214.611</td>\n", | |
| " <td>0.038296</td>\n", | |
| " <td>0.419053</td>\n", | |
| " <td>-0.013703</td>\n", | |
| " <td>1.52052</td>\n", | |
| " <td>0.986391</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>1.0</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>-214.454</td>\n", | |
| " <td>0.899024</td>\n", | |
| " <td>0.644861</td>\n", | |
| " <td>2.0</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>215.176</td>\n", | |
| " <td>-0.695208</td>\n", | |
| " <td>0.461716</td>\n", | |
| " <td>-0.027788</td>\n", | |
| " <td>1.58679</td>\n", | |
| " <td>0.972595</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>3</th>\n", | |
| " <td>1.0</td>\n", | |
| " <td>4.0</td>\n", | |
| " <td>4.0</td>\n", | |
| " <td>-213.871</td>\n", | |
| " <td>0.958146</td>\n", | |
| " <td>0.644861</td>\n", | |
| " <td>1.0</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>215.080</td>\n", | |
| " <td>-0.213382</td>\n", | |
| " <td>0.372901</td>\n", | |
| " <td>-0.015880</td>\n", | |
| " <td>1.45194</td>\n", | |
| " <td>0.984245</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>4</th>\n", | |
| " <td>1.0</td>\n", | |
| " <td>5.0</td>\n", | |
| " <td>5.0</td>\n", | |
| " <td>-215.094</td>\n", | |
| " <td>0.816881</td>\n", | |
| " <td>0.644861</td>\n", | |
| " <td>2.0</td>\n", | |
| " <td>3.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>216.169</td>\n", | |
| " <td>-0.805806</td>\n", | |
| " <td>0.447642</td>\n", | |
| " <td>-0.186009</td>\n", | |
| " <td>1.56462</td>\n", | |
| " <td>0.830266</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " chain__ iter__ draw__ lp__ accept_stat__ stepsize__ treedepth__ \\\n", | |
| "0 1.0 1.0 1.0 -214.235 0.956230 0.644861 3.0 \n", | |
| "1 1.0 2.0 2.0 -213.987 0.992918 0.644861 3.0 \n", | |
| "2 1.0 3.0 3.0 -214.454 0.899024 0.644861 2.0 \n", | |
| "3 1.0 4.0 4.0 -213.871 0.958146 0.644861 1.0 \n", | |
| "4 1.0 5.0 5.0 -215.094 0.816881 0.644861 2.0 \n", | |
| "\n", | |
| " n_leapfrog__ divergent__ energy__ mu0 log_sigma_eps \\\n", | |
| "0 7.0 0.0 216.344 -0.460666 0.386361 \n", | |
| "1 7.0 0.0 214.611 0.038296 0.419053 \n", | |
| "2 3.0 0.0 215.176 -0.695208 0.461716 \n", | |
| "3 3.0 0.0 215.080 -0.213382 0.372901 \n", | |
| "4 3.0 0.0 216.169 -0.805806 0.447642 \n", | |
| "\n", | |
| " log_sigma_eta sigma_eps sigma_eta \n", | |
| "0 0.153003 1.47162 1.165330 \n", | |
| "1 -0.013703 1.52052 0.986391 \n", | |
| "2 -0.027788 1.58679 0.972595 \n", | |
| "3 -0.015880 1.45194 0.984245 \n", | |
| "4 -0.186009 1.56462 0.830266 " | |
| ] | |
| }, | |
| "execution_count": 18, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tmp = fit1.draws_pd()[['sigma_eps','sigma_eta']]\n", | |
| "pd.plotting.scatter_matrix(tmp)\n", | |
| "fit1.draws_pd().head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "0b01cc77-ec90-40ff-9a91-6d04248a7e19", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 2: A Hidden Markov Model\n", | |
| "\n", | |
| "Now we'll try a HMM where $z_t \\in \\{1,2\\}$. \n", | |
| "\n", | |
| "This $z_t$ will represent whether $y_t$ is in a \"good\" or \"bad\" regime. \n", | |
| "\n", | |
| "A good regime:\n", | |
| " - mean of $y_t$ is positive,\n", | |
| " - variance of $y_t$ is low\n", | |
| "\n", | |
| "A bad regime:\n", | |
| " - mean of $y_t$ is negative\n", | |
| " - variance of $y_t$ is relatively high." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "f607a5b8-111e-4b52-8e50-03fe597ef5cf", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 2: A Hidden Markov Model\n", | |
| "\n", | |
| "The observation/emission distribution:\n", | |
| "\n", | |
| "$$\n", | |
| "g(y_t \\mid z_t = 1 , \\theta) = \\text{Normal}(\\mu_1, \\sigma^2_{1})\n", | |
| "$$\n", | |
| "and\n", | |
| "$$\n", | |
| "g(y_t \\mid z_t = 2 , \\theta) = \\text{Normal}(\\mu_2, \\sigma^2_{2})\n", | |
| "$$\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "cf89d533-ca15-438f-a3b5-7629796bd363", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 2: A Hidden Markov Model\n", | |
| "\n", | |
| "A discrete Markov chain is determined by two things:\n", | |
| "\n", | |
| "1. initial time point probabilities, and\n", | |
| "2. transition probabilities" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "5bd90e76-6cb0-4994-973d-14a5ea094140", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 2: A Hidden Markov Model\n", | |
| "\n", | |
| "Initial time point probabilities: $f(z_1 = 1)$ and $f(z_1 = 2)$. Sometimes these are written as a vector.\n", | |
| "\n", | |
| "Transition probabilities are usually written in a matrix:\n", | |
| "$$\n", | |
| "\\Gamma :=\n", | |
| "\\begin{bmatrix}\n", | |
| "p(z_t = 1 \\mid z_{t-1} = 1) && p(z_t = 2 \\mid z_{t-1} = 1) \\\\\n", | |
| "p(z_t = 1 \\mid z_{t-1} = 2) && p(z_t = 2 \\mid z_{t-1} = 2) \\\\\n", | |
| "\\end{bmatrix}\n", | |
| "$$\n", | |
| "\n", | |
| "Notice each row has to sum to $1$!" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "id": "d98c2fd6-39e4-457d-bb62-98df451101e6", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7c1e00305050>]" | |
| ] | |
| }, | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# simulate unobserved/latent/hidden Markov chain\n", | |
| "T = 100\n", | |
| "fake_z = np.empty(T, dtype=int)\n", | |
| "fake_z[0] = np.random.choice([0, 1], p=[.5,.5])\n", | |
| "transition_matrix = [[.7,.3],[.4,.6]]\n", | |
| "for t in range(1, T):\n", | |
| " current_state = fake_z[t-1]\n", | |
| " fake_z[t] = np.random.choice([0, 1], p=transition_matrix[current_state])\n", | |
| "plt.plot(fake_z)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "id": "3f62878d-3035-4305-b3cc-75030cfba567", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<Axes: >" | |
| ] | |
| }, | |
| "execution_count": 21, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "mus = np.array([.01, -.01])\n", | |
| "sigmas = np.array([.01, .1])\n", | |
| "fake_y = np.random.normal(loc = mus[fake_z], scale = sigmas[fake_z])\n", | |
| "pd.DataFrame({'z':fake_z,'y':fake_y}).plot()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "id": "dcd58898-a7a9-4850-b2ae-24b95214391e", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7c1e004d89d0>]" | |
| ] | |
| }, | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.plot(np.cumsum(fake_y))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "39f92aa0-b615-4bb1-8851-60150b06213b", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 2: A Hidden Markov Model\n", | |
| "\n", | |
| "Because the hidden state can only take on a **finite** collection of values\n", | |
| "\n", | |
| " - This type of model **permits a HMM filter (or forward algorithm) to be used**\n", | |
| " - a HMM filter or forward algo is again just a particular application of Bayes rule on hidden states\n", | |
| " - a byproduct of this filter is the observed data likelihood $L(y_{1:n} \\mid \\theta)$\n", | |
| "\n", | |
| "Implementation is in `hmm_example.stan`" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "id": "ba3af51f-fd61-4d03-a172-da61c28bc128", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "model_code = os.path.join('.', 'hmm_example.stan')\n", | |
| "model2 = CmdStanModel(stan_file=model_code)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "id": "b87e4a25-6351-4fb1-b92e-55a19ff5bde8", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "10:30:19 - cmdstanpy - INFO - CmdStan start processing\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "734d6d7f4ccc41f39a99ce98e576ea03", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 1 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "a2ae577a51974335a333169808c01200", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 2 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "06b58bfe49d1447dad231d8d7b4c7b10", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 3 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "52fb4f10f84749e78bbd7cd08d1bb641", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 4 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| " " | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "10:30:26 - cmdstanpy - INFO - CmdStan done processing.\n", | |
| "10:30:26 - cmdstanpy - WARNING - Non-fatal error during sampling:\n", | |
| "Exception: normal_lpdf: Scale parameter[1] is 0, but must be positive! (in 'hmm_example.stan', line 26, column 4 to column 59)\n", | |
| "Exception: normal_lpdf: Scale parameter[1] is 0, but must be positive! (in 'hmm_example.stan', line 26, column 4 to column 59)\n", | |
| "Exception: normal_lpdf: Scale parameter[2] is 0, but must be positive! (in 'hmm_example.stan', line 26, column 4 to column 59)\n", | |
| "Exception: normal_lpdf: Scale parameter[1] is 0, but must be positive! (in 'hmm_example.stan', line 26, column 4 to column 59)\n", | |
| "Consider re-running with show_console=True if the above output is unclear!\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "my_dict = {'T' : T, 'y' : fake_y}\n", | |
| "fit2 = model2.sample(data = my_dict)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "id": "b1d6f8fa-bddc-42a3-9acc-7c9450ec3607", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "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>MCSE</th>\n", | |
| " <th>StdDev</th>\n", | |
| " <th>5%</th>\n", | |
| " <th>50%</th>\n", | |
| " <th>95%</th>\n", | |
| " <th>N_Eff</th>\n", | |
| " <th>N_Eff/s</th>\n", | |
| " <th>R_hat</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>lp__</th>\n", | |
| " <td>160.121000</td>\n", | |
| " <td>0.056463</td>\n", | |
| " <td>2.105120</td>\n", | |
| " <td>156.216000</td>\n", | |
| " <td>160.503000</td>\n", | |
| " <td>162.819000</td>\n", | |
| " <td>1390.02</td>\n", | |
| " <td>118.009</td>\n", | |
| " <td>1.003740</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>mu1</th>\n", | |
| " <td>0.009331</td>\n", | |
| " <td>0.000029</td>\n", | |
| " <td>0.001863</td>\n", | |
| " <td>0.006266</td>\n", | |
| " <td>0.009282</td>\n", | |
| " <td>0.012390</td>\n", | |
| " <td>3989.85</td>\n", | |
| " <td>338.726</td>\n", | |
| " <td>1.000610</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>mu2</th>\n", | |
| " <td>-0.017479</td>\n", | |
| " <td>0.000213</td>\n", | |
| " <td>0.011838</td>\n", | |
| " <td>-0.038752</td>\n", | |
| " <td>-0.015887</td>\n", | |
| " <td>-0.001763</td>\n", | |
| " <td>3099.61</td>\n", | |
| " <td>263.147</td>\n", | |
| " <td>1.001180</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>sigma[1]</th>\n", | |
| " <td>0.012584</td>\n", | |
| " <td>0.000023</td>\n", | |
| " <td>0.001486</td>\n", | |
| " <td>0.010389</td>\n", | |
| " <td>0.012466</td>\n", | |
| " <td>0.015226</td>\n", | |
| " <td>4312.18</td>\n", | |
| " <td>366.091</td>\n", | |
| " <td>0.999566</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>sigma[2]</th>\n", | |
| " <td>0.097365</td>\n", | |
| " <td>0.000227</td>\n", | |
| " <td>0.012714</td>\n", | |
| " <td>0.079049</td>\n", | |
| " <td>0.096109</td>\n", | |
| " <td>0.120730</td>\n", | |
| " <td>3131.43</td>\n", | |
| " <td>265.848</td>\n", | |
| " <td>1.000750</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>Gamma[1,1]</th>\n", | |
| " <td>0.715984</td>\n", | |
| " <td>0.001051</td>\n", | |
| " <td>0.069310</td>\n", | |
| " <td>0.595927</td>\n", | |
| " <td>0.720621</td>\n", | |
| " <td>0.821422</td>\n", | |
| " <td>4348.54</td>\n", | |
| " <td>369.177</td>\n", | |
| " <td>0.999349</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>Gamma[1,2]</th>\n", | |
| " <td>0.284016</td>\n", | |
| " <td>0.001051</td>\n", | |
| " <td>0.069310</td>\n", | |
| " <td>0.178549</td>\n", | |
| " <td>0.279408</td>\n", | |
| " <td>0.403627</td>\n", | |
| " <td>4348.54</td>\n", | |
| " <td>369.177</td>\n", | |
| " <td>0.999349</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>Gamma[2,1]</th>\n", | |
| " <td>0.446652</td>\n", | |
| " <td>0.001637</td>\n", | |
| " <td>0.102015</td>\n", | |
| " <td>0.282268</td>\n", | |
| " <td>0.444917</td>\n", | |
| " <td>0.612643</td>\n", | |
| " <td>3884.51</td>\n", | |
| " <td>329.782</td>\n", | |
| " <td>1.002300</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>Gamma[2,2]</th>\n", | |
| " <td>0.553348</td>\n", | |
| " <td>0.001637</td>\n", | |
| " <td>0.102015</td>\n", | |
| " <td>0.387208</td>\n", | |
| " <td>0.555097</td>\n", | |
| " <td>0.717712</td>\n", | |
| " <td>3884.51</td>\n", | |
| " <td>329.782</td>\n", | |
| " <td>1.002300</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>fz1[1]</th>\n", | |
| " <td>0.536312</td>\n", | |
| " <td>0.004298</td>\n", | |
| " <td>0.283104</td>\n", | |
| " <td>0.066382</td>\n", | |
| " <td>0.546481</td>\n", | |
| " <td>0.958308</td>\n", | |
| " <td>4339.43</td>\n", | |
| " <td>368.404</td>\n", | |
| " <td>1.001590</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " Mean MCSE StdDev 5% 50% \\\n", | |
| "lp__ 160.121000 0.056463 2.105120 156.216000 160.503000 \n", | |
| "mu1 0.009331 0.000029 0.001863 0.006266 0.009282 \n", | |
| "mu2 -0.017479 0.000213 0.011838 -0.038752 -0.015887 \n", | |
| "sigma[1] 0.012584 0.000023 0.001486 0.010389 0.012466 \n", | |
| "sigma[2] 0.097365 0.000227 0.012714 0.079049 0.096109 \n", | |
| "Gamma[1,1] 0.715984 0.001051 0.069310 0.595927 0.720621 \n", | |
| "Gamma[1,2] 0.284016 0.001051 0.069310 0.178549 0.279408 \n", | |
| "Gamma[2,1] 0.446652 0.001637 0.102015 0.282268 0.444917 \n", | |
| "Gamma[2,2] 0.553348 0.001637 0.102015 0.387208 0.555097 \n", | |
| "fz1[1] 0.536312 0.004298 0.283104 0.066382 0.546481 \n", | |
| "\n", | |
| " 95% N_Eff N_Eff/s R_hat \n", | |
| "lp__ 162.819000 1390.02 118.009 1.003740 \n", | |
| "mu1 0.012390 3989.85 338.726 1.000610 \n", | |
| "mu2 -0.001763 3099.61 263.147 1.001180 \n", | |
| "sigma[1] 0.015226 4312.18 366.091 0.999566 \n", | |
| "sigma[2] 0.120730 3131.43 265.848 1.000750 \n", | |
| "Gamma[1,1] 0.821422 4348.54 369.177 0.999349 \n", | |
| "Gamma[1,2] 0.403627 4348.54 369.177 0.999349 \n", | |
| "Gamma[2,1] 0.612643 3884.51 329.782 1.002300 \n", | |
| "Gamma[2,2] 0.717712 3884.51 329.782 1.002300 \n", | |
| "fz1[1] 0.958308 4339.43 368.404 1.001590 " | |
| ] | |
| }, | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "fit2.summary().iloc[:10,]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 26, | |
| "id": "e75aedaa-86e1-49f4-921d-e3befa1193b2", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<Axes: xlabel='mu[1]', ylabel='mu[1]'>,\n", | |
| " <Axes: xlabel='mu[2]', ylabel='mu[1]'>],\n", | |
| " [<Axes: xlabel='mu[1]', ylabel='mu[2]'>,\n", | |
| " <Axes: xlabel='mu[2]', ylabel='mu[2]'>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 26, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tmp = fit2.draws_pd()[['mu[1]','mu[2]']]\n", | |
| "pd.plotting.scatter_matrix(tmp)\n", | |
| "#fit1.draws_pd().head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "id": "86082a86-ffeb-4caf-ad16-ba67f29b502f", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<Axes: xlabel='sigma[1]', ylabel='sigma[1]'>,\n", | |
| " <Axes: xlabel='sigma[2]', ylabel='sigma[1]'>],\n", | |
| " [<Axes: xlabel='sigma[1]', ylabel='sigma[2]'>,\n", | |
| " <Axes: xlabel='sigma[2]', ylabel='sigma[2]'>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 27, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tmp = fit2.draws_pd()[['sigma[1]','sigma[2]']]\n", | |
| "pd.plotting.scatter_matrix(tmp)\n", | |
| "#fit1.draws_pd().head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "id": "c344e643-4b90-440d-a237-cf840d3fa3fd", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<Axes: xlabel='Gamma[1,1]', ylabel='Gamma[1,1]'>,\n", | |
| " <Axes: xlabel='Gamma[1,2]', ylabel='Gamma[1,1]'>],\n", | |
| " [<Axes: xlabel='Gamma[1,1]', ylabel='Gamma[1,2]'>,\n", | |
| " <Axes: xlabel='Gamma[1,2]', ylabel='Gamma[1,2]'>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tmp = fit2.draws_pd()[['Gamma[1,1]','Gamma[1,2]']]\n", | |
| "pd.plotting.scatter_matrix(tmp)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "184c2238-6bc1-4ab1-ab38-ec67afb179df", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 3: A Stochastic Volatility Model\n", | |
| "\n", | |
| "In this next example, $z_t$ will represent the \"volatility\" or the (log) std. deviation of stock market returns.\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 43, | |
| "id": "f479ade8-7880-4dbc-a733-44b8d0e5e980", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(array([4.000e+00, 8.000e+00, 6.300e+01, 1.285e+03, 6.214e+03, 3.250e+02,\n", | |
| " 2.500e+01, 4.000e+00, 1.000e+00, 1.000e+00]),\n", | |
| " array([-10.94235028, -8.39613369, -5.84991711, -3.30370053,\n", | |
| " -0.75748394, 1.78873264, 4.33494923, 6.88116581,\n", | |
| " 9.42738239, 11.97359898, 14.51981556]),\n", | |
| " <BarContainer object of 10 artists>)" | |
| ] | |
| }, | |
| "execution_count": 43, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "returns = pd.read_csv(\"SPY.csv\")['Adj Close'].pct_change()[1:]*100\n", | |
| "plt.hist(returns)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 44, | |
| "id": "0cffcbbd-32e5-415a-889c-608f5aa8ad60", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7c1dd906a510>]" | |
| ] | |
| }, | |
| "execution_count": 44, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.plot(returns)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "236a1c92-916d-4286-9044-e70cb41b82c1", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 3: A Stochastic Volatility Model\n", | |
| "\n", | |
| "$$\n", | |
| "y_t = \\exp[z_t/2]\\epsilon_t \\hspace{10mm} \\text{ or } \\hspace{10mm} g(y_t \\mid z_t, \\theta) = \\text{Normal}(0, \\exp[z_t])\n", | |
| "$$\n", | |
| "and\n", | |
| "$$\n", | |
| "z_t = \\mu + \\phi(z_{t-1} - \\mu) + w_t \\hspace{10mm} \\text{ or } \\hspace{10mm} f(z_t \\mid z_{t-1}, \\theta) = \\text{Normal}(\\mu + \\phi(z_{t-1} - \\mu), \\sigma^2)\n", | |
| "$$\n", | |
| "\n", | |
| "and to start $z_1$ starts in the *stationary distribution* of the Markov chain.\n", | |
| "\n", | |
| "$\\theta = (\\mu, \\phi, \\sigma^2)$" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "3b572e6e-c177-4ea0-b713-9a3acc58d828", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "source": [ | |
| "## Example 3: A Stochastic Volatility Model\n", | |
| "\n", | |
| "The observation distribution is **nonlinear** and Gaussian, so, unfortunately, **there is no way to obtain observed data likelihood $L(y_{1:n} \\mid \\theta)$**\n", | |
| "\n", | |
| "Some MCMC algorithms will approximate it with varying success(not discussed here).\n", | |
| "\n", | |
| "Instead, we will use `stan` to sample from the joint posterior $\\pi(\\theta, z_{1:T} \\mid y_{1:T})$ using the complete-data likelihood.\n", | |
| "\n", | |
| "Implementation is in `stoch_vol.stan`" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 45, | |
| "id": "29d5dd21-17c6-40fd-bacd-0232ddf9361a", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "11:37:21 - cmdstanpy - INFO - compiling stan file /home/taylor/ds-6040/slides/module12/stoch_vol.stan to exe file /home/taylor/ds-6040/slides/module12/stoch_vol\n", | |
| "11:37:48 - cmdstanpy - INFO - compiled model executable: /home/taylor/ds-6040/slides/module12/stoch_vol\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "model_code = os.path.join('.', 'stoch_vol.stan')\n", | |
| "model3 = CmdStanModel(stan_file=model_code)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 56, | |
| "id": "3de4e1e9-fe75-40fb-bd82-e2598464f0bb", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "11:55:13 - cmdstanpy - INFO - CmdStan start processing\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "2407e101a43f4a8e9716e8d7b198a9c2", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 1 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "64adccf65c3d4d739809fbb120e7110e", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 2 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "6bef014fd66742bba8e7088113be7c8e", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 3 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "1906bc0b2a5043279b97d8e635a36428", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "chain 4 | | 00:00 Status" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| " " | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "11:56:09 - cmdstanpy - INFO - CmdStan done processing.\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# this takes a while :(\n", | |
| "T = 1000\n", | |
| "my_dict = {'T' : T, 'y' : returns[:T]}\n", | |
| "fit3 = model3.sample(data = my_dict)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 57, | |
| "id": "ada5a340-8ea1-49df-a33a-9720f6da3379", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "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>MCSE</th>\n", | |
| " <th>StdDev</th>\n", | |
| " <th>5%</th>\n", | |
| " <th>50%</th>\n", | |
| " <th>95%</th>\n", | |
| " <th>N_Eff</th>\n", | |
| " <th>N_Eff/s</th>\n", | |
| " <th>R_hat</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>lp__</th>\n", | |
| " <td>-154.335000</td>\n", | |
| " <td>38.560500</td>\n", | |
| " <td>179.681000</td>\n", | |
| " <td>-349.291000</td>\n", | |
| " <td>-194.522000</td>\n", | |
| " <td>225.972000</td>\n", | |
| " <td>21.7128</td>\n", | |
| " <td>0.243202</td>\n", | |
| " <td>1.12830</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>mu</th>\n", | |
| " <td>-1.141130</td>\n", | |
| " <td>0.006601</td>\n", | |
| " <td>0.076613</td>\n", | |
| " <td>-1.263820</td>\n", | |
| " <td>-1.142900</td>\n", | |
| " <td>-1.012470</td>\n", | |
| " <td>134.6920</td>\n", | |
| " <td>1.508660</td>\n", | |
| " <td>1.02776</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>phi</th>\n", | |
| " <td>0.317076</td>\n", | |
| " <td>0.059154</td>\n", | |
| " <td>0.254943</td>\n", | |
| " <td>-0.117120</td>\n", | |
| " <td>0.314796</td>\n", | |
| " <td>0.748716</td>\n", | |
| " <td>18.5747</td>\n", | |
| " <td>0.208052</td>\n", | |
| " <td>1.12660</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>sigma</th>\n", | |
| " <td>0.772849</td>\n", | |
| " <td>0.028092</td>\n", | |
| " <td>0.132860</td>\n", | |
| " <td>0.501773</td>\n", | |
| " <td>0.791056</td>\n", | |
| " <td>0.948274</td>\n", | |
| " <td>22.3677</td>\n", | |
| " <td>0.250537</td>\n", | |
| " <td>1.12624</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[1]</th>\n", | |
| " <td>-0.959063</td>\n", | |
| " <td>0.009565</td>\n", | |
| " <td>0.671975</td>\n", | |
| " <td>-2.062740</td>\n", | |
| " <td>-0.974325</td>\n", | |
| " <td>0.182039</td>\n", | |
| " <td>4935.5200</td>\n", | |
| " <td>55.281900</td>\n", | |
| " <td>1.00002</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[2]</th>\n", | |
| " <td>-1.211600</td>\n", | |
| " <td>0.026530</td>\n", | |
| " <td>0.764075</td>\n", | |
| " <td>-2.467460</td>\n", | |
| " <td>-1.195070</td>\n", | |
| " <td>0.015895</td>\n", | |
| " <td>829.4490</td>\n", | |
| " <td>9.290530</td>\n", | |
| " <td>1.00628</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[3]</th>\n", | |
| " <td>-0.714293</td>\n", | |
| " <td>0.009497</td>\n", | |
| " <td>0.605707</td>\n", | |
| " <td>-1.649200</td>\n", | |
| " <td>-0.742839</td>\n", | |
| " <td>0.322611</td>\n", | |
| " <td>4068.0100</td>\n", | |
| " <td>45.565100</td>\n", | |
| " <td>1.00133</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[4]</th>\n", | |
| " <td>-1.188860</td>\n", | |
| " <td>0.011981</td>\n", | |
| " <td>0.750274</td>\n", | |
| " <td>-2.422900</td>\n", | |
| " <td>-1.194210</td>\n", | |
| " <td>0.042024</td>\n", | |
| " <td>3921.5500</td>\n", | |
| " <td>43.924700</td>\n", | |
| " <td>1.00066</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[5]</th>\n", | |
| " <td>-1.502010</td>\n", | |
| " <td>0.019668</td>\n", | |
| " <td>0.849110</td>\n", | |
| " <td>-2.953300</td>\n", | |
| " <td>-1.485390</td>\n", | |
| " <td>-0.117710</td>\n", | |
| " <td>1863.7500</td>\n", | |
| " <td>20.875500</td>\n", | |
| " <td>1.00473</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>h[6]</th>\n", | |
| " <td>-1.499660</td>\n", | |
| " <td>0.016182</td>\n", | |
| " <td>0.839910</td>\n", | |
| " <td>-2.927150</td>\n", | |
| " <td>-1.468450</td>\n", | |
| " <td>-0.160316</td>\n", | |
| " <td>2694.1900</td>\n", | |
| " <td>30.177200</td>\n", | |
| " <td>1.00473</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " Mean MCSE StdDev 5% 50% 95% \\\n", | |
| "lp__ -154.335000 38.560500 179.681000 -349.291000 -194.522000 225.972000 \n", | |
| "mu -1.141130 0.006601 0.076613 -1.263820 -1.142900 -1.012470 \n", | |
| "phi 0.317076 0.059154 0.254943 -0.117120 0.314796 0.748716 \n", | |
| "sigma 0.772849 0.028092 0.132860 0.501773 0.791056 0.948274 \n", | |
| "h[1] -0.959063 0.009565 0.671975 -2.062740 -0.974325 0.182039 \n", | |
| "h[2] -1.211600 0.026530 0.764075 -2.467460 -1.195070 0.015895 \n", | |
| "h[3] -0.714293 0.009497 0.605707 -1.649200 -0.742839 0.322611 \n", | |
| "h[4] -1.188860 0.011981 0.750274 -2.422900 -1.194210 0.042024 \n", | |
| "h[5] -1.502010 0.019668 0.849110 -2.953300 -1.485390 -0.117710 \n", | |
| "h[6] -1.499660 0.016182 0.839910 -2.927150 -1.468450 -0.160316 \n", | |
| "\n", | |
| " N_Eff N_Eff/s R_hat \n", | |
| "lp__ 21.7128 0.243202 1.12830 \n", | |
| "mu 134.6920 1.508660 1.02776 \n", | |
| "phi 18.5747 0.208052 1.12660 \n", | |
| "sigma 22.3677 0.250537 1.12624 \n", | |
| "h[1] 4935.5200 55.281900 1.00002 \n", | |
| "h[2] 829.4490 9.290530 1.00628 \n", | |
| "h[3] 4068.0100 45.565100 1.00133 \n", | |
| "h[4] 3921.5500 43.924700 1.00066 \n", | |
| "h[5] 1863.7500 20.875500 1.00473 \n", | |
| "h[6] 2694.1900 30.177200 1.00473 " | |
| ] | |
| }, | |
| "execution_count": 57, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "fit3.summary().iloc[:10,]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 58, | |
| "id": "47eee4ff-1675-4a35-b50b-2f5eceae490f", | |
| "metadata": { | |
| "slideshow": { | |
| "slide_type": "slide" | |
| } | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<Axes: xlabel='mu', ylabel='mu'>,\n", | |
| " <Axes: xlabel='phi', ylabel='mu'>,\n", | |
| " <Axes: xlabel='sigma', ylabel='mu'>],\n", | |
| " [<Axes: xlabel='mu', ylabel='phi'>,\n", | |
| " <Axes: xlabel='phi', ylabel='phi'>,\n", | |
| " <Axes: xlabel='sigma', ylabel='phi'>],\n", | |
| " [<Axes: xlabel='mu', ylabel='sigma'>,\n", | |
| " <Axes: xlabel='phi', ylabel='sigma'>,\n", | |
| " <Axes: xlabel='sigma', ylabel='sigma'>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 58, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "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 |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment