{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "ZJhD80bfN7ly"
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"source": [
"# Bayesian Regression Using NumPyro\n",
"\n",
"In this tutorial, we will explore how to do bayesian regression in NumPyro, using a simple example adapted from Statistical Rethinking [[1](#References)]. In particular, we would like to explore the following:\n",
"\n",
" - Write a simple model using the `sample` NumPyro primitive.\n",
" - Run inference using MCMC in NumPyro, in particular, using the No U-Turn Sampler (NUTS) to get a posterior distribution over our regression parameters of interest.\n",
" - Learn about inference utilities such as `Predictive` and `log_likelihood`.\n",
" - Learn how we can use effect-handlers in NumPyro to generate execution traces from the model, condition on sample statements, seed models with RNG seeds, etc., and use this to implement various utilities that will be useful for MCMC. e.g. computing model log likelihood, generating empirical distribution over the posterior predictive, etc.\n",
"\n",
"## Tutorial Outline:\n",
"\n",
"1. [Dataset](#Dataset)\n",
"2. [Regression Model to Predict Divorce Rate](#Regression-Model-to-Predict-Divorce-Rate)\n",
" - [Model-1: Predictor-Marriage Rate](#Model-1:-Predictor---Marriage-Rate)\n",
" - [Posterior Distribution over the Regression Parameters](#Posterior-Distribution-over-the-Regression-Parameters)\n",
" - [Prior Predictive Distribution](#Prior-Predictive-Distribution)\n",
" - [Posterior Predictive Distribution](#Posterior-Predictive-Distribution)\n",
" - [Predictive Utility With Effect Handlers](#Predictive-Utility-With-Effect-Handlers)\n",
" - [Posterior Predictive Density](#Posterior-Predictive-Density)\n",
" - [Model-2: Predictor-Median Age of Marriage](#Model-2:-Predictor---Median-Age-of-Marriage)\n",
" - [Model-3: Predictor-Marriage Rate and Median Age of Marriage](#Model-3:-Predictor---Marriage-Rate-and-Median-Age-of-Marriage)\n",
" - [Divorce Rate Residuals by State](#Divorce-Rate-Residuals-by-State)\n",
"3. [Regression Model with Measurement Error](#Regression-Model-with-Measurement-Error)\n",
" - [Effect of Incorporating Measurement Noise on Residuals](#Effect-of-Incorporating-Measurement-Noise-on-Residuals)\n",
"4. [References](#References)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "FlhcyvtqN7l1"
},
"outputs": [],
"source": [
"!pip install -q numpyro@git+https://github.com/pyro-ppl/numpyro"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"id": "B_9Gru7DN7l3"
},
"outputs": [],
"source": [
"import os\n",
"\n",
"from IPython.display import set_matplotlib_formats\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"from jax import random, vmap\n",
"import jax.numpy as jnp\n",
"from jax.scipy.special import logsumexp\n",
"\n",
"import numpyro\n",
"from numpyro import handlers\n",
"from numpyro.diagnostics import hpdi\n",
"import numpyro.distributions as dist\n",
"from numpyro.infer import MCMC, NUTS\n",
"\n",
"plt.style.use(\"bmh\")\n",
"if \"NUMPYRO_SPHINXBUILD\" in os.environ:\n",
" set_matplotlib_formats(\"svg\")\n",
"\n",
"assert numpyro.__version__.startswith(\"0.14.0\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YfP23JA7N7l3"
},
"source": [
"## Dataset\n",
"\n",
"For this example, we will use the `WaffleDivorce` dataset from Chapter 05, Statistical Rethinking [[1](#References)]. The dataset contains divorce rates in each of the 50 states in the USA, along with predictors such as population, median age of marriage, whether it is a Southern state and, curiously, number of Waffle Houses."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "KsCe9ruUN7l4",
"outputId": "f26f9596-9f21-46d6-ec58-33dfc92b58a0"
},
"outputs": [
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26.3
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15.3
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MO
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25.4
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19.6
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1.44
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New Hampshire
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NH
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1.32
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26.8
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16.7
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1.76
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10.1
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NJ
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8.79
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27.7
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14.8
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0.59
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6.1
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0.46
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2.06
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25.8
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20.4
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1.90
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10.2
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NY
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19.38
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28.4
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16.8
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0.47
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6.6
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0.31
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9.54
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25.7
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20.4
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0.98
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9.9
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0.48
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1
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33
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North Dakota
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0.67
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25.3
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26.7
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2.93
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8.0
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1.44
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34
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OH
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11.54
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26.3
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16.9
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0.61
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9.5
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"
0
\n",
"
2339511
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
35
\n",
"
Oklahoma
\n",
"
OK
\n",
"
3.75
\n",
"
24.4
\n",
"
23.8
\n",
"
1.29
\n",
"
12.8
\n",
"
1.01
\n",
"
16
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
36
\n",
"
Oregon
\n",
"
OR
\n",
"
3.83
\n",
"
26.0
\n",
"
18.9
\n",
"
1.10
\n",
"
10.4
\n",
"
0.80
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
52465
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
37
\n",
"
Pennsylvania
\n",
"
PA
\n",
"
12.70
\n",
"
27.1
\n",
"
15.5
\n",
"
0.48
\n",
"
7.7
\n",
"
0.43
\n",
"
11
\n",
"
0
\n",
"
0
\n",
"
2906215
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
38
\n",
"
Rhode Island
\n",
"
RI
\n",
"
1.05
\n",
"
28.2
\n",
"
15.0
\n",
"
2.11
\n",
"
9.4
\n",
"
1.79
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
174620
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
39
\n",
"
South Carolina
\n",
"
SC
\n",
"
4.63
\n",
"
26.4
\n",
"
18.1
\n",
"
1.18
\n",
"
8.1
\n",
"
0.70
\n",
"
144
\n",
"
1
\n",
"
402406
\n",
"
703708
\n",
"
0.570000
\n",
"
\n",
"
\n",
"
40
\n",
"
South Dakota
\n",
"
SD
\n",
"
0.81
\n",
"
25.6
\n",
"
20.1
\n",
"
2.64
\n",
"
10.9
\n",
"
2.50
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
4837
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
41
\n",
"
Tennessee
\n",
"
TN
\n",
"
6.35
\n",
"
25.2
\n",
"
19.4
\n",
"
0.85
\n",
"
11.4
\n",
"
0.75
\n",
"
103
\n",
"
1
\n",
"
275719
\n",
"
1109801
\n",
"
0.200000
\n",
"
\n",
"
\n",
"
42
\n",
"
Texas
\n",
"
TX
\n",
"
25.15
\n",
"
25.2
\n",
"
21.5
\n",
"
0.61
\n",
"
10.0
\n",
"
0.35
\n",
"
99
\n",
"
1
\n",
"
182566
\n",
"
604215
\n",
"
0.300000
\n",
"
\n",
"
\n",
"
43
\n",
"
Utah
\n",
"
UT
\n",
"
2.76
\n",
"
23.3
\n",
"
29.6
\n",
"
1.77
\n",
"
10.2
\n",
"
0.93
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
40273
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
44
\n",
"
Vermont
\n",
"
VT
\n",
"
0.63
\n",
"
26.9
\n",
"
16.4
\n",
"
2.40
\n",
"
9.6
\n",
"
1.87
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
315098
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
45
\n",
"
Virginia
\n",
"
VA
\n",
"
8.00
\n",
"
26.4
\n",
"
20.5
\n",
"
0.83
\n",
"
8.9
\n",
"
0.52
\n",
"
40
\n",
"
1
\n",
"
490865
\n",
"
1219630
\n",
"
0.400000
\n",
"
\n",
"
\n",
"
46
\n",
"
Washington
\n",
"
WA
\n",
"
6.72
\n",
"
25.9
\n",
"
21.4
\n",
"
1.00
\n",
"
10.0
\n",
"
0.65
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
11594
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
47
\n",
"
West Virginia
\n",
"
WV
\n",
"
1.85
\n",
"
25.0
\n",
"
22.2
\n",
"
1.69
\n",
"
10.9
\n",
"
1.34
\n",
"
4
\n",
"
1
\n",
"
18371
\n",
"
376688
\n",
"
0.049000
\n",
"
\n",
"
\n",
"
48
\n",
"
Wisconsin
\n",
"
WI
\n",
"
5.69
\n",
"
26.3
\n",
"
17.2
\n",
"
0.79
\n",
"
8.3
\n",
"
0.57
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
775881
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
49
\n",
"
Wyoming
\n",
"
WY
\n",
"
0.56
\n",
"
24.2
\n",
"
30.7
\n",
"
3.92
\n",
"
10.3
\n",
"
1.90
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
0.000000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Location Loc ... Population1860 PropSlaves1860\n",
"0 Alabama AL ... 964201 0.450000\n",
"1 Alaska AK ... 0 0.000000\n",
"2 Arizona AZ ... 0 0.000000\n",
"3 Arkansas AR ... 435450 0.260000\n",
"4 California CA ... 379994 0.000000\n",
"5 Colorado CO ... 34277 0.000000\n",
"6 Connecticut CT ... 460147 0.000000\n",
"7 Delaware DE ... 112216 0.016000\n",
"8 District of Columbia DC ... 75080 0.000000\n",
"9 Florida FL ... 140424 0.440000\n",
"10 Georgia GA ... 1057286 0.440000\n",
"11 Hawaii HI ... 0 0.000000\n",
"12 Idaho ID ... 0 0.000000\n",
"13 Illinois IL ... 1711951 0.000000\n",
"14 Indiana IN ... 1350428 0.000000\n",
"15 Iowa IA ... 674913 0.000000\n",
"16 Kansas KS ... 107206 0.000019\n",
"17 Kentucky KY ... 1155684 0.000000\n",
"18 Louisiana LA ... 708002 0.470000\n",
"19 Maine ME ... 628279 0.000000\n",
"20 Maryland MD ... 687049 0.130000\n",
"21 Massachusetts MA ... 1231066 0.000000\n",
"22 Michigan MI ... 749113 0.000000\n",
"23 Minnesota MN ... 172023 0.000000\n",
"24 Mississippi MS ... 791305 0.550000\n",
"25 Missouri MO ... 1182012 0.097000\n",
"26 Montana MT ... 0 0.000000\n",
"27 Nebraska NE ... 28841 0.000520\n",
"28 New Hampshire NH ... 326073 0.000000\n",
"29 New Jersey NJ ... 672035 0.000027\n",
"30 New Mexico NM ... 93516 0.000000\n",
"31 New York NY ... 3880735 0.000000\n",
"32 North Carolina NC ... 992622 0.330000\n",
"33 North Dakota ND ... 0 0.000000\n",
"34 Ohio OH ... 2339511 0.000000\n",
"35 Oklahoma OK ... 0 0.000000\n",
"36 Oregon OR ... 52465 0.000000\n",
"37 Pennsylvania PA ... 2906215 0.000000\n",
"38 Rhode Island RI ... 174620 0.000000\n",
"39 South Carolina SC ... 703708 0.570000\n",
"40 South Dakota SD ... 4837 0.000000\n",
"41 Tennessee TN ... 1109801 0.200000\n",
"42 Texas TX ... 604215 0.300000\n",
"43 Utah UT ... 40273 0.000000\n",
"44 Vermont VT ... 315098 0.000000\n",
"45 Virginia VA ... 1219630 0.400000\n",
"46 Washington WA ... 11594 0.000000\n",
"47 West Virginia WV ... 376688 0.049000\n",
"48 Wisconsin WI ... 775881 0.000000\n",
"49 Wyoming WY ... 0 0.000000\n",
"\n",
"[50 rows x 13 columns]"
]
},
"execution_count": 3,
"metadata": {
"tags": []
},
"output_type": "execute_result"
}
],
"source": [
"DATASET_URL = \"https://raw.githubusercontent.com/rmcelreath/rethinking/master/data/WaffleDivorce.csv\"\n",
"dset = pd.read_csv(DATASET_URL, sep=\";\")\n",
"dset"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Hu-1n8UfN7l6"
},
"source": [
"Let us plot the pair-wise relationship amongst the main variables in the dataset, using `seaborn.pairplot`. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "pNjxHdVvN7l6",
"outputId": "eb113ed4-bc40-45f5-e82d-c56142336227"
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"vars = [\n",
" \"Population\",\n",
" \"MedianAgeMarriage\",\n",
" \"Marriage\",\n",
" \"WaffleHouses\",\n",
" \"South\",\n",
" \"Divorce\",\n",
"]\n",
"sns.pairplot(dset, x_vars=vars, y_vars=vars, palette=\"husl\");"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Nzqje01_N7l7"
},
"source": [
"From the plots above, we can clearly observe that there is a relationship between divorce rates and marriage rates in a state (as might be expected), and also between divorce rates and median age of marriage. \n",
"\n",
"There is also a weak relationship between number of Waffle Houses and divorce rates, which is not obvious from the plot above, but will be clearer if we regress `Divorce` against `WaffleHouse` and plot the results. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 279
},
"id": "jBhug-OzN7l8",
"outputId": "9f95c298-43e7-4f40-cde5-0a9364088980"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"sns.regplot(x=\"WaffleHouses\", y=\"Divorce\", data=dset);"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Kc4rautdN7l9"
},
"source": [
"This is an example of a spurious association. We do not expect the number of Waffle Houses in a state to affect the divorce rate, but it is likely correlated with other factors that have an effect on the divorce rate. We will not delve into this spurious association in this tutorial, but the interested reader is encouraged to read Chapters 5 and 6 of [[1](#References)] which explores the problem of causal association in the presence of multiple predictors. \n",
"\n",
"For simplicity, we will primarily focus on marriage rate and the median age of marriage as our predictors for divorce rate throughout the remaining tutorial."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mQuCSnFLN7l9"
},
"source": [
"## Regression Model to Predict Divorce Rate\n",
"\n",
"Let us now write a regressionn model in *NumPyro* to predict the divorce rate as a linear function of marriage rate and median age of marriage in each of the states. \n",
"\n",
"First, note that our predictor variables have somewhat different scales. It is a good practice to standardize our predictors and response variables to mean `0` and standard deviation `1`, which should result in [faster inference](https://mc-stan.org/docs/2_19/stan-users-guide/standardizing-predictors-and-outputs.html)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "CPtcs7a6N7l-"
},
"outputs": [],
"source": [
"def standardize(x):\n",
" return (x - x.mean()) / x.std()\n",
"\n",
"\n",
"dset[\"AgeScaled\"] = dset.MedianAgeMarriage.pipe(standardize)\n",
"dset[\"MarriageScaled\"] = dset.Marriage.pipe(standardize)\n",
"dset[\"DivorceScaled\"] = dset.Divorce.pipe(standardize)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "olBAKjb1N7l-"
},
"source": [
"We write the NumPyro model as follows. While the code should largely be self-explanatory, take note of the following:\n",
"\n",
" - In NumPyro, *model* code is any Python callable which can optionally accept additional arguments and keywords. For HMC which we will be using for this tutorial, these arguments and keywords remain static during inference, but we can reuse the same model to generate [predictions](#Posterior-Predictive-Distribution) on new data.\n",
" - In addition to regular Python statements, the model code also contains primitives like `sample`. These primitives can be interpreted with various side-effects using effect handlers. For more on effect handlers, refer to [[3](#References)], [[4](#References)]. For now, just remember that a `sample` statement makes this a stochastic function that samples some latent parameters from a *prior distribution*. Our goal is to infer the *posterior distribution* of these parameters conditioned on observed data.\n",
" - The reason why we have kept our predictors as optional keyword arguments is to be able to reuse the same model as we vary the set of predictors. Likewise, the reason why the response variable is optional is that we would like to reuse this model to sample from the posterior predictive distribution. See the [section](#Posterior-Predictive-Distribution) on plotting the posterior predictive distribution, as an example."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"id": "hVzAKfmnN7l-"
},
"outputs": [],
"source": [
"def model(marriage=None, age=None, divorce=None):\n",
" a = numpyro.sample(\"a\", dist.Normal(0.0, 0.2))\n",
" M, A = 0.0, 0.0\n",
" if marriage is not None:\n",
" bM = numpyro.sample(\"bM\", dist.Normal(0.0, 0.5))\n",
" M = bM * marriage\n",
" if age is not None:\n",
" bA = numpyro.sample(\"bA\", dist.Normal(0.0, 0.5))\n",
" A = bA * age\n",
" sigma = numpyro.sample(\"sigma\", dist.Exponential(1.0))\n",
" mu = a + M + A\n",
" numpyro.sample(\"obs\", dist.Normal(mu, sigma), obs=divorce)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tsUGIXf4N7l_"
},
"source": [
"### Model 1: Predictor - Marriage Rate\n",
"\n",
"We first try to model the divorce rate as depending on a single variable, marriage rate. As mentioned above, we can use the same `model` code as earlier, but only pass values for `marriage` and `divorce` keyword arguments. We will use the No U-Turn Sampler (see [[5](#References)] for more details on the NUTS algorithm) to run inference on this simple model.\n",
"\n",
"The Hamiltonian Monte Carlo (or, the NUTS) implementation in NumPyro takes in a potential energy function. This is the negative log joint density for the model. Therefore, for our model description above, we need to construct a function which given the parameter values returns the potential energy (or negative log joint density). Additionally, the verlet integrator in HMC (or, NUTS) returns sample values simulated using Hamiltonian dynamics in the unconstrained space. As such, continuous variables with bounded support need to be transformed into unconstrained space using bijective transforms. We also need to transform these samples back to their constrained support before returning these values to the user. Thankfully, this is handled on the backend for us, within a convenience class for doing [MCMC inference](https://numpyro.readthedocs.io/en/latest/mcmc.html#numpyro.mcmc.MCMC) that has the following methods:\n",
"\n",
" - `run(...)`: runs warmup, adapts steps size and mass matrix, and does sampling using the sample from the warmup phase.\n",
" - `print_summary()`: print diagnostic information like quantiles, effective sample size, and the Gelman-Rubin diagnostic.\n",
" - `get_samples()`: gets samples from the posterior distribution.\n",
"\n",
"Note the following:\n",
"\n",
" - JAX uses functional PRNGs. Unlike other languages / frameworks which maintain a global random state, in JAX, every call to a sampler requires an [explicit PRNGKey](https://github.com/google/jax#random-numbers-are-different). We will split our initial random seed for subsequent operations, so that we do not accidentally reuse the same seed.\n",
" - We run inference with the `NUTS` sampler. To run vanilla HMC, we can instead use the [HMC](https://numpyro.readthedocs.io/en/latest/mcmc.html#numpyro.mcmc.HMC) class."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "er7-QqEhN7l_",
"outputId": "d52e722b-0061-49a1-d9df-d977a311b88d"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"sample: 100%|██████████| 3000/3000 [00:04<00:00, 748.14it/s, 7 steps of size 7.41e-01. acc. prob=0.92]\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.0% 95.0% n_eff r_hat\n",
" a 0.00 0.11 0.00 -0.16 0.20 1510.96 1.00\n",
" bM 0.35 0.13 0.35 0.14 0.57 2043.12 1.00\n",
" sigma 0.95 0.10 0.94 0.78 1.10 1565.40 1.00\n",
"\n",
"Number of divergences: 0\n"
]
}
],
"source": [
"# Start from this source of randomness. We will split keys for subsequent operations.\n",
"rng_key = random.PRNGKey(0)\n",
"rng_key, rng_key_ = random.split(rng_key)\n",
"\n",
"# Run NUTS.\n",
"kernel = NUTS(model)\n",
"num_samples = 2000\n",
"mcmc = MCMC(kernel, num_warmup=1000, num_samples=num_samples)\n",
"mcmc.run(\n",
" rng_key_, marriage=dset.MarriageScaled.values, divorce=dset.DivorceScaled.values\n",
")\n",
"mcmc.print_summary()\n",
"samples_1 = mcmc.get_samples()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0IfifzKHN7mA"
},
"source": [
"#### Posterior Distribution over the Regression Parameters\n",
"\n",
"We notice that the progress bar gives us online statistics on the acceptance probability, step size and number of steps taken per sample while running NUTS. In particular, during warmup, we adapt the step size and mass matrix to achieve a certain target acceptance probability which is 0.8, by default. We were able to successfully adapt our step size to achieve this target in the warmup phase.\n",
"\n",
"During warmup, the aim is to adapt hyper-parameters such as step size and mass matrix (the HMC algorithm is very sensitive to these hyper-parameters), and to reach the typical set (see [[6](#References)] for more details). If there are any issues in the model specification, the first signal to notice would be low acceptance probabilities or very high number of steps. We use the sample from the end of the warmup phase to seed the MCMC chain (denoted by the second `sample` progress bar) from which we generate the desired number of samples from our target distribution.\n",
"\n",
"At the end of inference, NumPyro prints the mean, std and 90% CI values for each of the latent parameters. Note that since we standardized our predictors and response variable, we would expect the intercept to have mean 0, as can be seen here. It also prints other convergence diagnostics on the latent parameters in the model, including [effective sample size](https://numpyro.readthedocs.io/en/latest/diagnostics.html#numpyro.diagnostics.effective_sample_size) and the [gelman rubin diagnostic](https://numpyro.readthedocs.io/en/latest/diagnostics.html#numpyro.diagnostics.gelman_rubin) ($\\hat{R}$). The value for these diagnostics indicates that the chain has converged to the target distribution. In our case, the \"target distribution\" is the posterior distribution over the latent parameters that we are interested in. Note that this is often worth verifying with multiple chains for more complicated models. In the end, `samples_1` is a collection (in our case, a `dict` since `init_samples` was a `dict`) containing samples from the posterior distribution for each of the latent parameters in the model.\n",
"\n",
"To look at our regression fit, let us plot the regression line using our posterior estimates for the regression parameters, along with the 90% Credibility Interval (CI). Note that the [hpdi](https://numpyro.readthedocs.io/en/latest/diagnostics.html#numpyro.diagnostics.hpdi) function in NumPyro's diagnostics module can be used to compute CI. In the functions below, note that the collected samples from the posterior are all along the leading axis."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 405
},
"id": "UX-DbOtsN7mA",
"outputId": "163ad2c9-7567-490f-9535-f6834f457c8a"
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"def plot_regression(x, y_mean, y_hpdi):\n",
" # Sort values for plotting by x axis\n",
" idx = jnp.argsort(x)\n",
" marriage = x[idx]\n",
" mean = y_mean[idx]\n",
" hpdi = y_hpdi[:, idx]\n",
" divorce = dset.DivorceScaled.values[idx]\n",
"\n",
" # Plot\n",
" fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 6))\n",
" ax.plot(marriage, mean)\n",
" ax.plot(marriage, divorce, \"o\")\n",
" ax.fill_between(marriage, hpdi[0], hpdi[1], alpha=0.3, interpolate=True)\n",
" return ax\n",
"\n",
"\n",
"# Compute empirical posterior distribution over mu\n",
"posterior_mu = (\n",
" jnp.expand_dims(samples_1[\"a\"], -1)\n",
" + jnp.expand_dims(samples_1[\"bM\"], -1) * dset.MarriageScaled.values\n",
")\n",
"\n",
"mean_mu = jnp.mean(posterior_mu, axis=0)\n",
"hpdi_mu = hpdi(posterior_mu, 0.9)\n",
"ax = plot_regression(dset.MarriageScaled.values, mean_mu, hpdi_mu)\n",
"ax.set(\n",
" xlabel=\"Marriage rate\", ylabel=\"Divorce rate\", title=\"Regression line with 90% CI\"\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "sndvig_RQi0s"
},
"source": [
"We can see from the plot, that the CI broadens towards the tails where the data is relatively sparse, as can be expected.\n",
"\n",
"#### Prior Predictive Distribution\n",
"\n",
"Let us check that we have set sensible priors by sampling from the prior predictive distribution. NumPyro provides a handy [Predictive](http://num.pyro.ai/en/latest/utilities.html#numpyro.infer.util.Predictive) utility for this purpose."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 405
},
"id": "vSfDasR7Q5Be",
"outputId": "a11554aa-96b7-4298-9456-d44e0d63d8af"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"from numpyro.infer import Predictive\n",
"\n",
"rng_key, rng_key_ = random.split(rng_key)\n",
"prior_predictive = Predictive(model, num_samples=100)\n",
"prior_predictions = prior_predictive(rng_key_, marriage=dset.MarriageScaled.values)[\n",
" \"obs\"\n",
"]\n",
"mean_prior_pred = jnp.mean(prior_predictions, axis=0)\n",
"hpdi_prior_pred = hpdi(prior_predictions, 0.9)\n",
"\n",
"ax = plot_regression(dset.MarriageScaled.values, mean_prior_pred, hpdi_prior_pred)\n",
"ax.set(xlabel=\"Marriage rate\", ylabel=\"Divorce rate\", title=\"Predictions with 90% CI\");"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Q1ojeyHpN7mB"
},
"source": [
"#### Posterior Predictive Distribution\n",
"\n",
"Let us now look at the posterior predictive distribution to see how our predictive distribution looks with respect to the observed divorce rates. To get samples from the posterior predictive distribution, we need to run the model by substituting the latent parameters with samples from the posterior. Note that by default we generate a single prediction for each sample from the joint posterior distribution, but this can be controlled using the `num_samples` argument."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "XzzsqL7jN7mB",
"outputId": "00bb95d0-8be6-4686-f9d9-bc8a8891aa2c"
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Location
\n",
"
Mean Predictions
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Alabama
\n",
"
0.016434
\n",
"
\n",
"
\n",
"
1
\n",
"
Alaska
\n",
"
0.501293
\n",
"
\n",
"
\n",
"
2
\n",
"
Arizona
\n",
"
0.025105
\n",
"
\n",
"
\n",
"
3
\n",
"
Arkansas
\n",
"
0.600058
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\n",
"
\n",
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4
\n",
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California
\n",
"
-0.082887
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Location Mean Predictions\n",
"0 Alabama 0.016434\n",
"1 Alaska 0.501293\n",
"2 Arizona 0.025105\n",
"3 Arkansas 0.600058\n",
"4 California -0.082887"
]
},
"execution_count": 11,
"metadata": {
"tags": []
},
"output_type": "execute_result"
}
],
"source": [
"rng_key, rng_key_ = random.split(rng_key)\n",
"predictive = Predictive(model, samples_1)\n",
"predictions = predictive(rng_key_, marriage=dset.MarriageScaled.values)[\"obs\"]\n",
"df = dset.filter([\"Location\"])\n",
"df[\"Mean Predictions\"] = jnp.mean(predictions, axis=0)\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "n-Sm_5H8N7mC"
},
"source": [
"#### Predictive Utility With Effect Handlers\n",
"\n",
"To remove the magic behind `Predictive`, let us see how we can combine [effect handlers](https://numpyro.readthedocs.io/en/latest/handlers.html) with the [vmap](https://github.com/google/jax#auto-vectorization-with-vmap) JAX primitive to implement our own simplified predictive utility function that can do vectorized predictions."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"id": "gSKilj8dN7mC"
},
"outputs": [],
"source": [
"def predict(rng_key, post_samples, model, *args, **kwargs):\n",
" model = handlers.seed(handlers.condition(model, post_samples), rng_key)\n",
" model_trace = handlers.trace(model).get_trace(*args, **kwargs)\n",
" return model_trace[\"obs\"][\"value\"]\n",
"\n",
"\n",
"# vectorize predictions via vmap\n",
"predict_fn = vmap(\n",
" lambda rng_key, samples: predict(\n",
" rng_key, samples, model, marriage=dset.MarriageScaled.values\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hGB12J3-N7mC"
},
"source": [
"Note the use of the `condition`, `seed` and `trace` effect handlers in the `predict` function.\n",
"\n",
" - The `seed` effect-handler is used to wrap a stochastic function with an initial `PRNGKey` seed. When a sample statement inside the model is called, it uses the existing seed to sample from a distribution but this effect-handler also splits the existing key to ensure that future `sample` calls in the model use the newly split key instead. This is to prevent us from having to explicitly pass in a `PRNGKey` to each `sample` statement in the model.\n",
" - The `condition` effect handler conditions the latent sample sites to certain values. In our case, we are conditioning on values from the posterior distribution returned by MCMC.\n",
" - The `trace` effect handler runs the model and records the execution trace within an `OrderedDict`. This trace object contains execution metadata that is useful for computing quantities such as the log joint density.\n",
" \n",
"It should be clear now that the `predict` function simply runs the model by substituting the latent parameters with samples from the posterior (generated by the `mcmc` function) to generate predictions. Note the use of JAX's auto-vectorization transform called [vmap](https://github.com/google/jax#auto-vectorization-with-vmap) to vectorize predictions. Note that if we didn't use `vmap`, we would have to use a native for loop which for each sample which is much slower. Each draw from the posterior can be used to get predictions over all the 50 states. When we vectorize this over all the samples from the posterior using `vmap`, we will get a `predictions_1` array of shape `(num_samples, 50)`. We can then compute the mean and 90% CI of these samples to plot the posterior predictive distribution. We note that our mean predictions match those obtained from the `Predictive` utility class."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "Hbo0AzmSN7mD",
"outputId": "9183ecd2-bb3b-473b-e912-09188806573e"
},
"outputs": [
{
"data": {
"text/html": [
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\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Location
\n",
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Mean Predictions
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Alabama
\n",
"
0.016434
\n",
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\n",
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1
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Alaska
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0.501293
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Arizona
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California
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],
"text/plain": [
" Location Mean Predictions\n",
"0 Alabama 0.016434\n",
"1 Alaska 0.501293\n",
"2 Arizona 0.025105\n",
"3 Arkansas 0.600058\n",
"4 California -0.082887"
]
},
"execution_count": 13,
"metadata": {
"tags": []
},
"output_type": "execute_result"
}
],
"source": [
"# Using the same key as we used for Predictive - note that the results are identical.\n",
"\n",
"predictions_1 = predict_fn(random.split(rng_key_, num_samples), samples_1)\n",
"\n",
"mean_pred = jnp.mean(predictions_1, axis=0)\n",
"df = dset.filter([\"Location\"])\n",
"df[\"Mean Predictions\"] = mean_pred\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 405
},
"id": "x57YjUCLN7mD",
"outputId": "19ed4248-f852-40d1-da61-f06faa6c4cbd"
},
"outputs": [
{
"data": {
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",
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