{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Hamiltonian Monte Carlo utilities\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
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"\n",
"\n",
"var JS_MIME_TYPE = 'application/javascript';\n",
"var HTML_MIME_TYPE = 'text/html';\n",
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"var CLASS_NAME = 'output';\n",
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" var nchildren = toinsert.length;\n",
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" html_node.innerHTML = output.data[HTML_MIME_TYPE];\n",
" var scripts = [];\n",
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"\n",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import re\n",
"\n",
"import numpy as np\n",
"import polars as pl\n",
"\n",
"import cmdstanpy\n",
"import arviz as az\n",
"\n",
"import bebi103\n",
"\n",
"import holoviews as hv\n",
"hv.extension('bokeh')\n",
"\n",
"bebi103.hv.set_defaults()\n",
"\n",
"import bokeh.io\n",
"bokeh.io.output_notebook()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The bebi103 package contains a set of convenience functions for use with HMC, primarily with [Stan](http://mc-stan.org/). Much of the functionality is included in [ArviZ](https://arviz-devs.github.io/arviz/), but this package has customized visualization that its developer prefers. Furthermore, the HMC and expectand diagnostics in this package are ports of those from [Michael Betancourt's `mcmc_diagnostics` package](https://github.com/betanalpha/mcmc_diagnostics/), which can differ quantitatively from those in ArviZ.\n",
"\n",
"Additionally, the bebi103 package has functions that may be included in `functions` block for Stan programs."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model and sample data\n",
"\n",
"To demonstrate the usage of the Stan utilities of bebi103, we will consider the following hierarchical generative model.\n",
"\n",
"\\begin{align}\n",
"&\\theta_i \\sim \\text{Norm}(5, 5),\\;\\;i\\in\\{1, 2\\},\\\\[1em]\n",
"&\\tau_i \\sim \\text{HalfNorm}(0, 10),\\;\\;i\\in\\{1, 2\\},\\\\[1em]\n",
"&\\sigma_i \\sim \\text{HalfNorm}(0, 10),\\;\\;i\\in\\{1, 2\\},\\\\[1em]\n",
"&\\rho \\sim \\text{Uniform}(-1, 1),\\\\[1em]\n",
"&\\mathsf{T} = \\begin{pmatrix}\\tau_1^2 & 0 \\\\ 0 & \\tau_2^2\\end{pmatrix}, \\\\[1em]\n",
"&\\mathsf{\\Sigma} = \\begin{pmatrix}\\sigma_1^2 & \\rho\\sigma_1\\sigma_2 \\\\ \\rho\\sigma_1\\sigma_2 & \\sigma_2^2\\end{pmatrix}, \\\\[1em]\n",
"&\\theta_{1, i} \\sim \\text{Norm}(\\theta, \\mathsf{T}) \\;\\forall\\,i\\in\\{1, 2, 3\\},\\\\[1em]\n",
"& \\begin{pmatrix} x_{i, j} \\\\ y_{i,j} \\end{pmatrix} \\sim \\text{Norm}(\\theta_{1,i}, \\mathsf{\\Sigma})\\;\\forall\\,i \\in \\{1, 2, 3\\}, \\; j \\in \\{1, \\ldots, n_i \\}. \n",
"\\end{align}\n",
"\n",
"This is a hierarchical model in which the three vector-valued parameters $\\theta_{1,1}$, $\\theta_{1,2}$, and $\\theta_{1,3}$ are conditioned on the vector-valued hyperparameter $\\theta$. We will use a fabricated data set generated from this model with parameters described in the [Using the user guide](using_user_guide.ipynb) section. It is useful to understand the data set, so let's look at the data frame."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (5, 3)| x | y | trial |
|---|
| f64 | f64 | i64 |
| 1.762886 | 11.955616 | 1 |
| 4.364957 | 11.136633 | 1 |
| 3.457626 | 12.301267 | 1 |
| -0.839319 | 10.401899 | 1 |
| 4.694602 | 11.925334 | 1 |
"
],
"text/plain": [
"shape: (5, 3)\n",
"┌───────────┬───────────┬───────┐\n",
"│ x ┆ y ┆ trial │\n",
"│ --- ┆ --- ┆ --- │\n",
"│ f64 ┆ f64 ┆ i64 │\n",
"╞═══════════╪═══════════╪═══════╡\n",
"│ 1.762886 ┆ 11.955616 ┆ 1 │\n",
"│ 4.364957 ┆ 11.136633 ┆ 1 │\n",
"│ 3.457626 ┆ 12.301267 ┆ 1 │\n",
"│ -0.839319 ┆ 10.401899 ┆ 1 │\n",
"│ 4.694602 ┆ 11.925334 ┆ 1 │\n",
"└───────────┴───────────┴───────┘"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pl.read_csv('sample_data.csv')\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each trial (there are three, numbered 1, 2, and 3) has an *x* measurment and a *y* measurement.\n",
"\n",
"To begin our analysis, we will use the following Stan model, which directly follows from the above generative model.\n",
"\n",
"```stan\n",
"data {\n",
" // Total number of data points\n",
" int N;\n",
"\n",
" // Number of entries in each level of the hierarchy\n",
" int J_1;\n",
"\n",
" //Index array to keep track of hierarchical structure\n",
" array[N] int index_1;\n",
"\n",
" // The measurements\n",
" array[N] real x;\n",
" array[N] real y;\n",
"}\n",
"\n",
"\n",
"transformed data {\n",
" // Data are two-dimensional, so store in a vector\n",
" array[N] vector[2] xy;\n",
"\n",
" for (i in 1:N) {\n",
" xy[i, 1] = x[i];\n",
" xy[i, 2] = y[i];\n",
" }\n",
"}\n",
"\n",
"\n",
"parameters {\n",
" // Hyperparameters level 0\n",
" vector[2] theta;\n",
"\n",
" // How hyperparameters vary\n",
" vector[2] tau;\n",
"\n",
" // Parameters\n",
" array[J_1] vector[2] theta_1;\n",
" vector[2] sigma;\n",
" real rho;\n",
"}\n",
"\n",
"\n",
"transformed parameters {\n",
" // Covariance matrix for hyperparameters\n",
" matrix[2, 2] Tau = [\n",
" [tau[1]^2, 0 ], \n",
" [0, tau[2]^2]\n",
" ];\n",
"\n",
" // Covariance matrix for likelihood\n",
" matrix[2, 2] Sigma = [\n",
" [sigma[1]^2, rho * sigma[1] * sigma[2]], \n",
" [rho * sigma[1] * sigma[2], sigma[2]^2 ]\n",
" ];\n",
"}\n",
"\n",
"\n",
"model {\n",
" // Hyperpriors\n",
" theta ~ normal(5, 5);\n",
" tau ~ normal(0, 10);\n",
"\n",
" // Priors\n",
" theta_1 ~ multi_normal(theta, Tau);\n",
" sigma ~ normal(0, 10);\n",
" rho ~ uniform(-1, 1);\n",
"\n",
" // Likelihood\n",
" for (i in 1:N) {\n",
" xy[i] ~ multi_normal(theta_1[index_1[i]], Sigma);\n",
" }\n",
"}\n",
"\n",
"\n",
"generated quantities {\n",
" // Posterior retrodictive checks\n",
" array[N] real x_prc;\n",
" array[N] real y_prc;\n",
"\n",
" // Log likelihood\n",
" array[N] real log_lik;\n",
"\n",
" {\n",
" vector[2] xy_prc;\n",
"\n",
" for (i in 1:N) {\n",
" xy_prc = multi_normal_rng(theta_1[index_1[i]], Sigma);\n",
" log_lik[i] = multi_normal_lpdf(xy_prc | theta_1[index_1[i]], Sigma);\n",
" x_prc[i] = xy_prc[1];\n",
" y_prc[i] = xy_prc[2];\n",
" }\n",
" }\n",
"}\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A few important notes about the Stan file.\n",
"\n",
"1. The array `index_1` keeps track of the dependence of the data on each parameter, which are themselves conditioned on hyperparameters.\n",
"2. Posterior predictive checks and the log-likelihood function are calculated in the `generated quantities` block."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A first pass through a simple workflow\n",
"\n",
"We will now proceed through a MCMC workflow, doing the following steps:\n",
"\n",
"1. Compile the Stan model.\n",
"2. Convert the data frame into input data for the Stan model.\n",
"3. Check the sampling diagnostics.\n",
"4. Create visualizations of the samples."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compiling the Stan model\n",
"\n",
"Starting with the first step making a compiled Stan model that we can use for sampling, we will use [CmdStanPy](https://cmdstanpy.readthedocs.io/en/latest/). CmdStanPy is preferred over [PyStan](https://pystan.readthedocs.io/en/latest/) because of the simplicity of its interface and shorter model compilation time. The bebi103 package does not support PyStan.\n",
"\n",
"If we wish to suppress messages to the screen, we can use `bebi103.hmc.disable_logging()` with context management."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"with bebi103.hmc.disable_logging():\n",
" sm = cmdstanpy.CmdStanModel(stan_file=\"sample_model.stan\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Preparing hierarchical data for Stan\n",
"\n",
"Now that we have a compiled Stan model, we need to supply it data. Referring to the data block in the Stan code above, for this hierarchical model, we need to specify how many data points, what the values of *x* and *y* are, the number of different parameters (`J_1`), and a set of indices the give which of the three $\\theta_1$ values upon which each data point is conditioned. This information is already contained in the tidy data frame, `df`. The `'x'` and `'y'` columns contain the data, and the `'trial'` column determines the level in the hierarchy. The value of `J_1` is given by the number of unique entries in the `'trial'` column, and the number of data points is given by the total number of rows in the data frame.\n",
"\n",
"The `bebi103.hmc.df_to_datadict_hier()` function converts a tidy data frame into a dictionary of data that can be passed to a Stan program for a hierarchical model. Furthermore, since the `'trial'` column could have strings or other entries in them, these need to be converted to integers for use in Stan. A column is added to Stan with a suffix `_stan` to give the values of that column that are used in the Stan program. This is for reference when analyzing the results."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (5, 4)| x | y | trial | trial_stan |
|---|
| f64 | f64 | i64 | i64 |
| 1.762886 | 11.955616 | 1 | 1 |
| 4.245374 | 12.896902 | 1 | 1 |
| 2.495358 | 6.278253 | 1 | 1 |
| 4.847436 | 8.901546 | 1 | 1 |
| 5.585134 | 11.772688 | 1 | 1 |
"
],
"text/plain": [
"shape: (5, 4)\n",
"┌──────────┬───────────┬───────┬────────────┐\n",
"│ x ┆ y ┆ trial ┆ trial_stan │\n",
"│ --- ┆ --- ┆ --- ┆ --- │\n",
"│ f64 ┆ f64 ┆ i64 ┆ i64 │\n",
"╞══════════╪═══════════╪═══════╪════════════╡\n",
"│ 1.762886 ┆ 11.955616 ┆ 1 ┆ 1 │\n",
"│ 4.245374 ┆ 12.896902 ┆ 1 ┆ 1 │\n",
"│ 2.495358 ┆ 6.278253 ┆ 1 ┆ 1 │\n",
"│ 4.847436 ┆ 8.901546 ┆ 1 ┆ 1 │\n",
"│ 5.585134 ┆ 11.772688 ┆ 1 ┆ 1 │\n",
"└──────────┴───────────┴───────┴────────────┘"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# df may be either Polars or Pandas data frame\n",
"data, df = bebi103.hmc.df_to_datadict_hier(\n",
" df, level_cols=\"trial\", data_cols=[\"x\", \"y\"]\n",
")\n",
"\n",
"# Take a look at the updated data frame\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data frame has been appropriately updated (the trials were numbers, so there is no difference). Let's look at the `data` dictionary."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'N': 63,\n",
" 'J_1': 3,\n",
" 'index_1': array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]),\n",
" 'x': array([ 1.76288583, 4.24537447, 2.49535766, 4.84743608, 5.58513412,\n",
" 2.46538959, 2.53372498, 3.03556003, 4.1428636 , 3.37291658,\n",
" 1.80757816, 3.86468666, 2.0406895 , 6.10018145, 3.70259613,\n",
" 4.6946018 , -0.83931887, 3.45762554, 4.36495728, 9.02739122,\n",
" -0.90483667, 0.63091768, 2.7511249 , 0.84468249, -1.40832682,\n",
" 0.97071434, 1.65312163, 4.88902665, 4.74467292, 2.00083667,\n",
" 1.5374102 , 5.36558851, 6.03757711, 1.71903739, 1.56783325,\n",
" 0.25157748, 6.76167578, -0.67226419, 3.36289739, 2.17013057,\n",
" 4.03836253, 2.72486749, 3.65771395, 4.59028926, 1.40245352,\n",
" 4.34252071, 4.1146886 , 0.79938752, 0.72094663, 3.19538556,\n",
" 0.58176677, -0.01108818, -0.10906546, 2.37188306, 4.88494459,\n",
" -0.35811241, -0.85531719, 2.62235591, 0.71487182, 1.38188117,\n",
" 1.82837862, 0.16000891, 4.81184826]),\n",
" 'y': array([11.95561574, 12.89690196, 6.27825302, 8.90154585, 11.77268772,\n",
" 8.9978501 , 6.16475102, 10.64184364, 10.74399897, 8.71908946,\n",
" 9.63231343, 13.00236894, 9.47857277, 10.97263645, 11.46520631,\n",
" 11.92533427, 10.40189925, 12.30126673, 11.13663316, 16.78665286,\n",
" 4.11289192, 5.32907863, 7.82030839, 3.75238271, 3.89596763,\n",
" 1.37792381, 6.55489775, 9.7609403 , 10.03251758, 6.26665374,\n",
" 5.62577914, 5.84795532, 8.14624991, 9.12145582, 5.94521903,\n",
" 4.34204882, 12.30037908, -0.52873034, 4.3659075 , 9.05879288,\n",
" 8.84628724, 9.95807796, 5.07513802, 10.37096513, 3.73211647,\n",
" 5.8037337 , 5.02628689, 3.61882617, 6.98712067, 11.21360732,\n",
" 4.31478889, 4.40895773, 4.73065621, 8.95402277, 8.31905359,\n",
" 7.80920144, 5.92093593, 4.84087256, 3.43491574, 5.78404006,\n",
" 8.04955064, 5.29564007, 8.64743679])}"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The dictionary has all of the entries necessary to pass into the Stan program while sampling."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sampling\n",
"\n",
"We can now go about our sampling and get the results. We will again suppress logging. Note that this is in general not a good idea. I do it here to manage space in the documentation."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "11e9f0b852424e32988d92bb68346139",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"chain 1: 0%| | 0/2000 [00:00, ?it/s, (Warmup)]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "3050b9fd0b2e48d1a9d1988a857cfd63",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"chain 2: 0%| | 0/2000 [00:00, ?it/s, (Warmup)]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"model_id": "7bc737c2463641e291e847a0fb5d4fe0",
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"version_minor": 0
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"text/plain": [
"chain 3: 0%| | 0/2000 [00:00, ?it/s, (Warmup)]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a6704d2423554f9891f594f764e21119",
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"version_minor": 0
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"text/plain": [
"chain 4: 0%| | 0/2000 [00:00, ?it/s, (Warmup)]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" \n"
]
}
],
"source": [
"with bebi103.hmc.disable_logging():\n",
" samples = sm.sample(\n",
" data=data, chains=4, iter_sampling=1000, adapt_delta=0.95, seed=3252\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Converting samples to various formats\n",
"\n",
"The variable `samples` is a `cmdstanpy.CmdStanMCMC` instance. The `bebi103.hmc.convert_samples()` function converts from this format to several others.\n",
"\n",
"- `'dict'`: Dictionary of expectands and HMC diagnostics. Each item is a 2D Numpy array. The first dimension indexes the Markov chains and the second indexes the sequential states within each chain.\n",
"- `'arviz'`: An xarray.DataTree instance as used by ArviZ. Only valid if `samples` is a cmdstanpy.CmdStanMCMC instance.\n",
"- `'pandas'`: A Pandas data frame where each row of the data frame is a chain/draw with expectand values and HMC diagnostic results.\n",
"- `'polars'`: A Polars data frame where each row of the data frame is a chain/draw with expectand values and HMC diagnostic results.\n",
"\n",
"Conversion is often unnecessary, as visualization, diagnostics, and analysis functions typically do that internally. Nonetheless, for ease of visualizing the samples, we convert the samples to a Polars data frame here."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (5, 219)| chain__ | draw__ | lp__ | accept_stat__ | stepsize__ | treedepth__ | n_leapfrog__ | divergent__ | energy__ | theta[1] | theta[2] | tau[1] | tau[2] | theta_1[1,1] | theta_1[2,1] | theta_1[3,1] | theta_1[1,2] | theta_1[2,2] | theta_1[3,2] | sigma[1] | sigma[2] | rho | Tau[1,1] | Tau[2,1] | Tau[1,2] | Tau[2,2] | Sigma[1,1] | Sigma[2,1] | Sigma[1,2] | Sigma[2,2] | x_prc[1] | x_prc[2] | x_prc[3] | x_prc[4] | x_prc[5] | x_prc[6] | x_prc[7] | … | log_lik[27] | log_lik[28] | log_lik[29] | log_lik[30] | log_lik[31] | log_lik[32] | log_lik[33] | log_lik[34] | log_lik[35] | log_lik[36] | log_lik[37] | log_lik[38] | log_lik[39] | log_lik[40] | log_lik[41] | log_lik[42] | log_lik[43] | log_lik[44] | log_lik[45] | log_lik[46] | log_lik[47] | log_lik[48] | log_lik[49] | log_lik[50] | log_lik[51] | log_lik[52] | log_lik[53] | log_lik[54] | log_lik[55] | log_lik[56] | log_lik[57] | log_lik[58] | log_lik[59] | log_lik[60] | log_lik[61] | log_lik[62] | log_lik[63] |
|---|
| i64 | i64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | … | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 |
| 1 | 1 | -157.36242 | 0.996946 | 0.216174 | 4.0 | 15.0 | 0.0 | 160.96684 | 3.3400944 | 9.3800556 | 0.799549 | 4.8560164 | 3.6098261 | 3.0214278 | 1.7652373 | 10.70204 | 6.9489694 | 5.8949729 | 2.051773 | 2.5774174 | 0.657098 | 0.639279 | 0.0 | 0.0 | 23.580895 | 4.2097725 | 3.4749157 | 3.4749157 | 6.6430805 | 5.5698704 | 5.1973786 | 7.220437 | 0.857876 | 4.3333721 | 5.7248875 | 1.7558562 | … | -4.490788 | -3.2506 | -3.229742 | -3.630459 | -5.039638 | -3.645568 | -3.486727 | -3.884245 | -3.488522 | -5.167867 | -4.978146 | -4.463282 | -3.337886 | -3.44238 | -4.543225 | -4.83689 | -3.309076 | -3.281724 | -3.703284 | -3.317581 | -4.541385 | -3.456033 | -3.916834 | -5.78315 | -3.780804 | -3.232168 | -4.719223 | -3.935118 | -3.94908 | -5.473484 | -4.662725 | -4.166747 | -3.581278 | -3.475598 | -4.907618 | -3.845557 | -4.864691 |
| 1 | 2 | -161.0091 | 0.962797 | 0.216174 | 4.0 | 15.0 | 0.0 | 165.22433 | 2.8179074 | 6.5020438 | 1.3747677 | 8.0005074 | 2.7597237 | 1.8844103 | 1.6541406 | 9.1836204 | 5.9835658 | 5.7517063 | 2.20051 | 2.6583775 | 0.669681 | 1.8899861 | 0.0 | 0.0 | 64.008118 | 4.8422441 | 3.9174915 | 3.9174915 | 7.0669707 | 5.1286782 | 4.2231406 | 3.2370389 | 3.8320794 | 1.9770098 | 5.8897723 | 0.797052 | … | -6.16563 | -4.307867 | -6.243407 | -3.668701 | -3.312097 | -3.805297 | -5.720665 | -4.197534 | -3.427182 | -5.124652 | -5.945818 | -3.795556 | -4.564292 | -3.425371 | -5.15271 | -5.656274 | -3.748868 | -3.431989 | -4.28331 | -3.56417 | -3.396519 | -3.416867 | -4.828997 | -4.999331 | -3.398694 | -4.096841 | -9.312179 | -4.426276 | -4.251297 | -4.072744 | -5.300062 | -3.693385 | -4.255173 | -3.468082 | -3.445644 | -4.263431 | -3.408547 |
| 1 | 3 | -160.63286 | 0.94051 | 0.216174 | 4.0 | 15.0 | 0.0 | 169.56701 | 2.8103211 | 8.1555405 | 0.534681 | 0.940767 | 3.4422601 | 3.0288367 | 2.5018904 | 10.90685 | 7.1918296 | 7.68738 | 1.8942131 | 2.4381071 | 0.498989 | 0.2858833 | 0.0 | 0.0 | 0.885043 | 3.5880431 | 2.3044796 | 2.3044796 | 5.9443665 | 5.0211365 | 3.923145 | 4.2023807 | 2.3357392 | 0.866446 | 4.765728 | 2.2710564 | … | -3.319997 | -4.647367 | -3.972264 | -3.267477 | -5.15114 | -5.981165 | -8.731551 | -4.074365 | -8.38317 | -4.903477 | -3.807537 | -3.878422 | -3.615925 | -3.255246 | -5.639008 | -3.26244 | -3.358559 | -3.56321 | -3.898647 | -3.240369 | -4.365215 | -4.901795 | -4.120195 | -4.393892 | -4.511024 | -3.534596 | -5.071555 | -3.36541 | -4.184606 | -4.448638 | -3.327942 | -6.98695 | -3.282434 | -3.821043 | -3.929123 | -3.643508 | -4.136507 |
| 1 | 4 | -159.6237 | 1.0 | 0.216174 | 4.0 | 15.0 | 0.0 | 164.11557 | 2.5845624 | 7.9602053 | 0.7508871 | 10.797538 | 3.4237137 | 2.4164793 | 1.3936102 | 10.402738 | 6.0391642 | 6.216457 | 2.244996 | 2.7509113 | 0.731762 | 0.563831 | 0.0 | 0.0 | 116.58682 | 5.0400069 | 4.5192065 | 4.5192065 | 7.5675127 | 0.658077 | 2.9620842 | 2.9080832 | 2.5016567 | 5.1648933 | 3.8338198 | 1.3743562 | … | -3.636001 | -4.319272 | -3.311477 | -3.534741 | -3.963338 | -3.577486 | -4.743639 | -5.501458 | -4.221635 | -5.429224 | -3.394738 | -5.035972 | -4.475535 | -3.277713 | -4.479338 | -3.77753 | -4.559502 | -3.319845 | -3.542236 | -6.885093 | -4.259644 | -3.510838 | -3.558921 | -3.528215 | -3.480809 | -4.772193 | -4.25625 | -4.761282 | -3.982735 | -3.572086 | -3.681185 | -5.139564 | -3.371119 | -3.614484 | -4.614607 | -3.470661 | -6.557853 |
| 1 | 5 | -162.14088 | 0.956536 | 0.216174 | 4.0 | 31.0 | 0.0 | 166.96483 | 2.5329305 | 2.1067779 | 1.9855133 | 4.3335428 | 3.0175406 | 2.4525505 | 1.9305323 | 10.027476 | 6.8589144 | 5.9362293 | 1.8618187 | 2.5786185 | 0.405575 | 3.9422629 | 0.0 | 0.0 | 18.779593 | 3.4663687 | 1.9471308 | 1.9471308 | 6.6492731 | 3.3602981 | 4.4163121 | 4.66739 | 2.5490173 | 5.3635836 | 3.0283696 | 2.575362 | … | -4.32196 | -3.488587 | -5.542598 | -4.370237 | -6.015344 | -4.239383 | -3.816495 | -4.096576 | -3.357709 | -4.403343 | -3.553117 | -4.498793 | -3.610253 | -3.452824 | -4.823412 | -4.981389 | -4.824607 | -4.038119 | -6.253942 | -3.509316 | -3.400077 | -3.730457 | -3.540407 | -3.659544 | -4.367968 | -3.49186 | -3.540384 | -3.918586 | -3.363623 | -6.034796 | -4.809338 | -5.737223 | -4.761152 | -4.265911 | -3.754131 | -3.360941 | -3.707925 |
"
],
"text/plain": [
"shape: (5, 219)\n",
"┌─────────┬────────┬────────────┬────────────┬───┬────────────┬────────────┬───────────┬───────────┐\n",
"│ chain__ ┆ draw__ ┆ lp__ ┆ accept_sta ┆ … ┆ log_lik[60 ┆ log_lik[61 ┆ log_lik[6 ┆ log_lik[6 │\n",
"│ --- ┆ --- ┆ --- ┆ t__ ┆ ┆ ] ┆ ] ┆ 2] ┆ 3] │\n",
"│ i64 ┆ i64 ┆ f64 ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n",
"│ ┆ ┆ ┆ f64 ┆ ┆ f64 ┆ f64 ┆ f64 ┆ f64 │\n",
"╞═════════╪════════╪════════════╪════════════╪═══╪════════════╪════════════╪═══════════╪═══════════╡\n",
"│ 1 ┆ 1 ┆ -157.36242 ┆ 0.996946 ┆ … ┆ -3.475598 ┆ -4.907618 ┆ -3.845557 ┆ -4.864691 │\n",
"│ 1 ┆ 2 ┆ -161.0091 ┆ 0.962797 ┆ … ┆ -3.468082 ┆ -3.445644 ┆ -4.263431 ┆ -3.408547 │\n",
"│ 1 ┆ 3 ┆ -160.63286 ┆ 0.94051 ┆ … ┆ -3.821043 ┆ -3.929123 ┆ -3.643508 ┆ -4.136507 │\n",
"│ 1 ┆ 4 ┆ -159.6237 ┆ 1.0 ┆ … ┆ -3.614484 ┆ -4.614607 ┆ -3.470661 ┆ -6.557853 │\n",
"│ 1 ┆ 5 ┆ -162.14088 ┆ 0.956536 ┆ … ┆ -4.265911 ┆ -3.754131 ┆ -3.360941 ┆ -3.707925 │\n",
"└─────────┴────────┴────────────┴────────────┴───┴────────────┴────────────┴───────────┴───────────┘"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_samples = bebi103.hmc.convert_samples(samples, 'polars')\n",
"\n",
"# Take a look\n",
"df_samples.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variables/parameters naming convention\n",
"\n",
"Note how multdimensional variables are named in the above data frame. They are **one-indexed**, as they are in Stan, and use brackets with different axes of the index separated by a comma **with no spaces**. Note also that the `chain__` and `draw__` columns index (again, with one-indexing) the MCMC chain and the index of the sample, respectively. The other columns that end with a double-underscore are diagnostic results outputted by Stan. This nomenclature is used throughout the bebi103 MCMC parsing functions.\n",
"\n",
"Some functions in the `bebi103.hmc` and `bebi103.viz` modules use `parameters` as an argument. In those cases, the entries of multidimensional properties are expected to be entered one-by-one. The `bebi103.hms.inferential_calibration()` function uses `var_names`. For multidimensional parameters, only the base name (with no indexing) is expected. This `var_names` format is congruent with that of ArviZ. As an example, consider a scalar parameter `a`, a vector parameter `b` with three entries, and a 2×2 matrix parameter `c`. The following shows how the respective keyword arguments should be used.\n",
"\n",
"- `parameters=['a', 'b[0]', 'b[1]', 'b[2]', 'c[0,0]', 'c[0,1]', 'c[1,0]', 'c[1,1]']`\n",
"- `var_names=['a', 'b', 'c']`\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Checking diagnostics\n",
"\n",
"We may check the following diagnostic features, the first four of which are specific to HMC, and the remaining are checks of expectand samples and apply to any MCMC sampling algorithm.\n",
"\n",
"1. Divergences.\n",
"2. Tree depth.\n",
"3. Energy fraction of missing information (E-FMI).\n",
"4. Average acceptance rate proxy.\n",
"5. The empirical generalized Pareto shape parameter, xi-hat.\n",
"6. Chain variance (if zero, chain is stuck).\n",
"7. The split Gelman-Rubin statistic, Rhat ($\\hat{R}$).\n",
"8. Incremental empirical integrated autocorrelation time, tau-hat.\n",
"9. The effective sample size (ESS).\n",
"\n",
"The functions to check these diagnostics are ported from [Michael Betancourt's `mcmc_diagnostics` package](https://github.com/betanalpha/mcmc_diagnostics/).\n",
"\n",
"We can start by checking the HMC diagnostics using the `bebi103.hmc.check_hmc_diagnostics()`."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There were a total of 96 divergences.\n",
"\n",
"Divergent Hamiltonian transitions result from unstable numerical\n",
"trajectories. These instabilities are often due to degenerate target\n",
"geometry, especially \"pinches\". If there are only a small number of\n",
"divergences then running with adept_delta larger than 0.801 may reduce\n",
"the instabilities at the cost of more expensive Hamiltonian transitions.\n"
]
},
{
"data": {
"text/plain": [
"{'divergences': array([37., 16., 29., 14.]),\n",
" 'divergences_success': np.False_,\n",
" 'average_accept_proxy': array([0.89070892, 0.95977102, 0.91658264, 0.95293607]),\n",
" 'average_accept_proxy_success': np.True_,\n",
" 'efmi': array([3.95195624, 3.55787171, 3.55201796, 3.81144591]),\n",
" 'efmi_success': np.True_,\n",
" 'treedepth': array([0, 0, 0, 0]),\n",
" 'treedepth_success': np.True_}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bebi103.hmc.check_hmc_diagnostics(samples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The function returned a dictionary with reports on the four diagnostics. Keys in the dictionary suffixed with `_success` give a Boolean that is true if the diagnostic check with successfull (no issues), and false otherwise. It also prints an error message describing any issues what that problems they may be symtpoms of.\n",
"\n",
"We can also check the expectand diagnostics using `bebi103.hmc.check_expectand_diagnostics()`. Here, the `omit` keyword argument is useful to omit variables are are not interested in checking (things like posterior retrodictive checks and log likelihood values). We can also omit specific entries in arrays using the `omit_array_entry` kwarg. In this case, the off-diagonal terms in the matrix `Tau` are both always zero, so we want to omit them specifically."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Parameter Tau[1,1] triggered a tail xi_hat warning in 4 of 4 chains.\n",
"\n",
"Parameter Tau[2,2] triggered a tail xi_hat warning in 2 of 4 chains.\n",
"\n",
"The expectands Tau[1,1], Tau[2,2] triggered tail xi_hat warnings. Large\n",
"tail xi_hats suggest that the expectand might not be sufficiently\n",
"integrable.\n"
]
},
{
"data": {
"text/plain": [
"{'xi_hat': {'theta[1]': array([[-0.06406819, 0.02575865],\n",
" [-0.04141672, -0.04163014],\n",
" [-0.04206061, -0.01458971],\n",
" [-0.14504202, -0.03686235]]),\n",
" 'theta[2]': array([[-0.15676144, -0.17537877],\n",
" [-0.17568799, -0.14660007],\n",
" [-0.31254057, -0.12975208],\n",
" [-0.17332633, -0.16164093]]),\n",
" 'tau[1]': array([[-1.08448144, -0.01804568],\n",
" [-1.11955268, -0.04177346],\n",
" [-1.16150183, 0.06176076],\n",
" [-1.02984185, 0.02986211]]),\n",
" 'tau[2]': array([[-0.82596774, -0.1456114 ],\n",
" [-0.80736914, -0.1195331 ],\n",
" [-0.7150093 , -0.04665074],\n",
" [-0.74280958, -0.17126554]]),\n",
" 'theta_1[1,1]': array([[-0.60717534, -0.3084544 ],\n",
" [-0.39286467, -0.35486797],\n",
" [-0.38839594, -0.45971009],\n",
" [-0.40811596, -0.30726834]]),\n",
" 'theta_1[2,1]': array([[-0.41023326, -0.27759831],\n",
" [-0.36111068, -0.38269738],\n",
" [-0.54895149, -0.38793389],\n",
" [-0.40442007, -0.31134057]]),\n",
" 'theta_1[3,1]': array([[-0.28318456, -0.43060379],\n",
" [-0.31456768, -0.34375411],\n",
" [-0.54930373, -0.47566234],\n",
" [-0.4313902 , -0.41081455]]),\n",
" 'theta_1[1,2]': array([[-0.35064029, -0.42306747],\n",
" [-0.32514512, -0.37308936],\n",
" [-0.45954631, -0.44530911],\n",
" [-0.43746364, -0.4228291 ]]),\n",
" 'theta_1[2,2]': array([[-0.35406251, -0.35619478],\n",
" [-0.4088378 , -0.3380721 ],\n",
" [-0.34903268, -0.30799486],\n",
" [-0.29108407, -0.23994918]]),\n",
" 'theta_1[3,2]': array([[-0.36430767, -0.3481737 ],\n",
" [-0.30379087, -0.35520482],\n",
" [-0.4505651 , -0.37775902],\n",
" [-0.29405291, -0.32829952]]),\n",
" 'sigma[1]': array([[-0.43347761, -0.30696585],\n",
" [-0.40164285, -0.37790329],\n",
" [-0.59150548, -0.30074291],\n",
" [-0.45426694, -0.2732337 ]]),\n",
" 'sigma[2]': array([[-0.57019948, -0.28951455],\n",
" [-0.41802794, -0.33270163],\n",
" [-0.40344634, -0.24982322],\n",
" [-0.44237774, -0.38719475]]),\n",
" 'rho': array([[-0.42012432, -0.47418907],\n",
" [-0.35394344, -0.5699361 ],\n",
" [-0.29761298, -0.41961411],\n",
" [-0.30206558, -0.5073984 ]]),\n",
" 'Tau[1,1]': array([[-1.67689506, 0.50732468],\n",
" [-1.79220542, 0.45378113],\n",
" [-1.8095312 , 0.58034932],\n",
" [-1.68472627, 0.51054968]]),\n",
" 'Tau[2,2]': array([[-1.24223598, 0.24510736],\n",
" [-1.22109721, 0.25741512],\n",
" [-1.08999125, 0.29357303],\n",
" [-1.14430308, 0.17524331]]),\n",
" 'Sigma[1,1]': array([[-0.48674844, -0.25424876],\n",
" [-0.45673761, -0.32872146],\n",
" [-0.64105847, -0.24116751],\n",
" [-0.50615014, -0.20393671]]),\n",
" 'Sigma[2,1]': array([[-0.59641295, -0.3212759 ],\n",
" [-0.48826989, -0.28959868],\n",
" [-0.46156844, -0.29958642],\n",
" [-0.45520004, -0.24706323]]),\n",
" 'Sigma[1,2]': array([[-0.59641295, -0.3212759 ],\n",
" [-0.48826989, -0.28959868],\n",
" [-0.46156844, -0.29958642],\n",
" [-0.45520004, -0.24706323]]),\n",
" 'Sigma[2,2]': array([[-0.621347 , -0.23127941],\n",
" [-0.47136766, -0.2811046 ],\n",
" [-0.45332644, -0.19820795],\n",
" [-0.49597539, -0.33307061]])},\n",
" 'variance': {'theta[1]': array([ True, True, True, True]),\n",
" 'theta[2]': array([ True, True, True, True]),\n",
" 'tau[1]': array([ True, True, True, True]),\n",
" 'tau[2]': array([ True, True, True, True]),\n",
" 'theta_1[1,1]': array([ True, True, True, True]),\n",
" 'theta_1[2,1]': array([ True, True, True, True]),\n",
" 'theta_1[3,1]': array([ True, True, True, True]),\n",
" 'theta_1[1,2]': array([ True, True, True, True]),\n",
" 'theta_1[2,2]': array([ True, True, True, True]),\n",
" 'theta_1[3,2]': array([ True, True, True, True]),\n",
" 'sigma[1]': array([ True, True, True, True]),\n",
" 'sigma[2]': array([ True, True, True, True]),\n",
" 'rho': array([ True, True, True, True]),\n",
" 'Tau[1,1]': array([ True, True, True, True]),\n",
" 'Tau[2,2]': array([ True, True, True, True]),\n",
" 'Sigma[1,1]': array([ True, True, True, True]),\n",
" 'Sigma[2,1]': array([ True, True, True, True]),\n",
" 'Sigma[1,2]': array([ True, True, True, True]),\n",
" 'Sigma[2,2]': array([ True, True, True, True])},\n",
" 'rhat': {'theta[1]': np.float64(1.005735347552244),\n",
" 'theta[2]': np.float64(1.0009711268625767),\n",
" 'tau[1]': np.float64(1.004183225365101),\n",
" 'tau[2]': np.float64(1.001752365371224),\n",
" 'theta_1[1,1]': np.float64(1.0033418032900017),\n",
" 'theta_1[2,1]': np.float64(1.001902947186569),\n",
" 'theta_1[3,1]': np.float64(1.0010474373326692),\n",
" 'theta_1[1,2]': np.float64(1.0033486995287977),\n",
" 'theta_1[2,2]': np.float64(1.003655595165959),\n",
" 'theta_1[3,2]': np.float64(1.000561948409255),\n",
" 'sigma[1]': np.float64(1.0018146535959138),\n",
" 'sigma[2]': np.float64(1.0025658133160193),\n",
" 'rho': np.float64(1.0006876409513898),\n",
" 'Tau[1,1]': np.float64(1.0043090478153083),\n",
" 'Tau[2,2]': np.float64(1.0017849185222076),\n",
" 'Sigma[1,1]': np.float64(1.0019913550578095),\n",
" 'Sigma[2,1]': np.float64(1.0020377777005973),\n",
" 'Sigma[1,2]': np.float64(1.0020377777005973),\n",
" 'Sigma[2,2]': np.float64(1.0026639800236024)},\n",
" 'inc_tau_hat': {'theta[1]': array([4.30666881, 2.00042797, 3.31952974, 2.20558727]),\n",
" 'theta[2]': array([2.07141614, 2.0236037 , 1.71538034, 1.70916537]),\n",
" 'tau[1]': array([3.29965222, 2.56772997, 3.13167848, 2.9714344 ]),\n",
" 'tau[2]': array([2.25714359, 2.20091899, 1.44958691, 2.40865864]),\n",
" 'theta_1[1,1]': array([3.717011 , 2.20873393, 2.69686387, 2.93115179]),\n",
" 'theta_1[2,1]': array([1.65673954, 1.79238647, 1.51444166, 1.45038624]),\n",
" 'theta_1[3,1]': array([2.01818712, 1.77895265, 2.15865078, 1.72818407]),\n",
" 'theta_1[1,2]': array([1.97806512, 1.8516646 , 1.74918713, 1.5852617 ]),\n",
" 'theta_1[2,2]': array([2.00217512, 1.42955673, 1.54426858, 1.55814193]),\n",
" 'theta_1[3,2]': array([2.31422079, 1.59015171, 1.27462379, 1.76544694]),\n",
" 'sigma[1]': array([1.89571822, 1.37151761, 1.57690572, 2.67122296]),\n",
" 'sigma[2]': array([2.07239877, 1.34627942, 1.47538985, 1.58913442]),\n",
" 'rho': array([2.27981051, 1.2499321 , 1.72648151, 1.75757444]),\n",
" 'Tau[1,1]': array([2.26722911, 2.08539472, 2.38249504, 1.6074432 ]),\n",
" 'Tau[2,2]': array([1.9953888 , 2.17328045, 1.29061879, 2.20770191]),\n",
" 'Sigma[1,1]': array([1.9111683 , 1.40767124, 1.61168233, 3.04731922]),\n",
" 'Sigma[2,1]': array([3.29005206, 1.64675198, 2.24420552, 3.52453044]),\n",
" 'Sigma[1,2]': array([3.29005206, 1.64675198, 2.24420552, 3.52453044]),\n",
" 'Sigma[2,2]': array([2.12936557, 1.37730611, 1.49880584, 1.66440716])},\n",
" 'ess_hat': {'theta[1]': array([232.19802683, 499.89303161, 301.24748926, 453.39398424]),\n",
" 'theta[2]': array([482.76151767, 494.16790458, 582.96109302, 585.08089301]),\n",
" 'tau[1]': array([303.06224169, 389.44905153, 319.31758158, 336.5378015 ]),\n",
" 'tau[2]': array([443.0378307 , 454.35565932, 689.8517032 , 415.16883355]),\n",
" 'theta_1[1,1]': array([269.03337113, 452.7480593 , 370.80106702, 341.16281596]),\n",
" 'theta_1[2,1]': array([603.59518051, 557.91539147, 660.30935715, 689.47151394]),\n",
" 'theta_1[3,1]': array([495.49419359, 562.12850775, 463.25232922, 578.64206439]),\n",
" 'theta_1[1,2]': array([505.54452932, 540.05460883, 571.6941204 , 630.81067413]),\n",
" 'theta_1[2,2]': array([499.45681017, 699.51753568, 647.55574907, 641.7900597 ]),\n",
" 'theta_1[3,2]': array([432.11088786, 628.8708122 , 784.54521878, 566.42880624]),\n",
" 'sigma[1]': array([527.50455836, 729.11933095, 634.1533231 , 374.36036357]),\n",
" 'sigma[2]': array([482.53261601, 742.78785133, 677.78696107, 629.27338804]),\n",
" 'rho': array([438.63294598, 800.04346093, 579.21269127, 568.96594401]),\n",
" 'Tau[1,1]': array([441.06702632, 479.52552527, 419.72805077, 622.10596174]),\n",
" 'Tau[2,2]': array([501.15546432, 460.1338953 , 774.82213041, 452.95970283]),\n",
" 'Sigma[1,1]': array([523.24015679, 710.39314701, 620.46966686, 328.15728466]),\n",
" 'Sigma[2,1]': array([303.9465584 , 607.25598637, 445.59198809, 283.72573823]),\n",
" 'Sigma[1,2]': array([303.9465584 , 607.25598637, 445.59198809, 283.72573823]),\n",
" 'Sigma[2,2]': array([469.62344784, 726.05501125, 667.19782605, 600.81452611])},\n",
" 'xi_hat_success': False,\n",
" 'variance_success': True,\n",
" 'rhat_success': True,\n",
" 'inc_tau_hat_success': True,\n",
" 'ess_hat_success': True}"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bebi103.hmc.check_expectand_diagnostics(\n",
" samples, \n",
" omit=('log_lik', '*_prc'), \n",
" omit_array_entry=('Tau[1,2]', 'Tau[2,1]')\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, the function returns a dictionary with the results for each diagnostic calculation and Booleans for success.\n",
"\n",
"We can check all diagnostics at once using the `bebi103.hmc.check_all_diagnostics()` function."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There were a total of 96 divergences.\n",
"\n",
"Divergent Hamiltonian transitions result from unstable numerical\n",
"trajectories. These instabilities are often due to degenerate target\n",
"geometry, especially \"pinches\". If there are only a small number of\n",
"divergences then running with adept_delta larger than 0.801 may reduce\n",
"the instabilities at the cost of more expensive Hamiltonian transitions.\n",
"\n",
"Parameter Tau[1,1] triggered a tail xi_hat warning in 4 of 4 chains.\n",
"\n",
"Parameter Tau[2,2] triggered a tail xi_hat warning in 2 of 4 chains.\n",
"\n",
"The expectands Tau[1,1], Tau[2,2] triggered tail xi_hat warnings. Large\n",
"tail xi_hats suggest that the expectand might not be sufficiently\n",
"integrable.\n"
]
},
{
"data": {
"text/plain": [
"17"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bebi103.hmc.check_all_diagnostics( \n",
" samples, \n",
" omit=('log_lik', '*_prc'), \n",
" omit_array_entry=('Tau[1,2]', 'Tau[2,1]'),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The return value of this function is a number that, when converted to binary, each digit in the code stands for whether or not a test passed. A digit of zero indicates the test passed. The ordering of the tests goes:\n",
"\n",
"- bit 0: divergence\n",
"- bit 1: treedepth\n",
"- bit 2: E-FMI\n",
"- bit 3: average acceptance proxy\n",
"- bit 4: tail xi_hat\n",
"- bit 5: zero variance\n",
"- bit 6: split Rhat\n",
"- bit 7: incremental tau_hat\n",
"- bit 8: minimum ess_hat\n",
" \n",
"For example, a warning code of 17 has a binary representation of 000010001, which means that xi-hat and divergence diagnostics failed. We can decode the warning code."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"divergence warning\n",
"xi_hat warning\n"
]
}
],
"source": [
"bebi103.hmc.decode_warning_code(17)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing results\n",
"\n",
"The bebi103 package allows for three visualizations of MCMC results.\n",
"\n",
"- Trace plots: `bebi103.viz.trace()`\n",
"- Parallel coordinate plots: `bebi103.viz.parcoord()`\n",
"- Corner plot: `bebi103.viz.corner()`\n",
"\n",
"Each of these takes as their first six arguments:\n",
"\n",
"- `samples`: The MCMC samples, as a `cmdstanpy.CmdStanMCMC` instance, dictionary, data frame, etc. (Note that `corner()` also accepts other data type for `samples`, such as in [display of bootstrap replicates](bootstrap.ipynb#Graphical-display-of-a-confidence-region).)\n",
"- `parameters`: List of the names of variables to include in the plot.\n",
"- `palette`: List of colors to use.\n",
"- `omit`: List of variable names or regular expression patterns for variables to omit in the plot.\n",
"\n",
"`samples` is the only required argument. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Trace plots\n",
"\n",
"We will begin with a trace plot of the hyperparameters *θ* and *τ*."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
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" function embed_document(root) {\n",
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fa-info-circle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]}]}]},{\"type\":\"model\",\"name\":\"Notification\",\"properties\":[{\"name\":\"background\",\"kind\":\"Any\",\"default\":null},{\"name\":\"duration\",\"kind\":\"Any\",\"default\":3000},{\"name\":\"icon\",\"kind\":\"Any\",\"default\":null},{\"name\":\"message\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"notification_type\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_rendered\",\"kind\":\"Any\",\"default\":false},{\"name\":\"_destroyed\",\"kind\":\"Any\",\"default\":false}]},{\"type\":\"model\",\"name\":\"TemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"BootstrapTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"TemplateEditor1\",\"properties\":[{\"name\":\"layout\",\"kind\":\"Any\",\"default\":[]}]},{\"type\":\"model\",\"name\":\"MaterialTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"request_value1\",\"properties\":[{\"name\":\"fill\",\"kind\":\"Any\",\"default\":\"none\"},{\"name\":\"_synced\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_request_sync\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"holoviews.plotting.bokeh.raster.HoverModel\",\"properties\":[{\"name\":\"xy\",\"kind\":\"Any\",\"default\":null},{\"name\":\"data\",\"kind\":\"Any\",\"default\":null}]}]}};\n",
" const render_items = [{\"docid\":\"cc68bc00-3626-4946-8152-bd90cd726906\",\"roots\":{\"bc1610d1-cf27-40e6-9e5f-dc25d03c490b\":\"c2b88f03-6ba6-4094-aec0-8b793b061f24\"},\"root_ids\":[\"bc1610d1-cf27-40e6-9e5f-dc25d03c490b\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "bc1610d1-cf27-40e6-9e5f-dc25d03c490b"
}
},
"output_type": "display_data"
}
],
"source": [
"bokeh.io.show(\n",
" bebi103.viz.trace(samples, parameters=[\"theta[1]\", \"theta[2]\", \"tau[1]\", \"tau[2]\"])\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The traces are color-coded by chain."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Parallel coordinate plots\n",
"\n",
"For a parallel coordinate plot, we want to omit all four entries of the matrices `Tau` and `Sigma` because the entries are either zero or determined uniquely by other parameters. We can specify regular expressions in the `omit` list to conveniently omit all of the entries in these matrix parameters."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"(function(root) {\n",
" function embed_document(root) {\n",
" const docs_json = {\"76f21471-d9d4-4c52-857e-8377989b035e\":{\"version\":\"3.9.1\",\"title\":\"Bokeh 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" const render_items = [{\"docid\":\"76f21471-d9d4-4c52-857e-8377989b035e\",\"roots\":{\"cb203959-ddf3-4877-9cb9-c1f46d295593\":\"d3e75ac6-1462-4b35-aad4-8322b554dcb4\"},\"root_ids\":[\"cb203959-ddf3-4877-9cb9-c1f46d295593\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
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"id": "cb203959-ddf3-4877-9cb9-c1f46d295593"
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},
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}
],
"source": [
"bokeh.io.show(\n",
" bebi103.viz.parcoord(samples, omit=[\"Tau\", re.compile(\"Sigma.*\"), \"*_prc\", \"log_lik\"])\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the plot, samples that did not result in a divergence are semi-transparent gray by default. Samples that had a divergence are colored in orange and shown with thicker lines. Because the scale of respective parameters may be different, it is often easer to rescale each parameter for the plot. We can do this with the `transformation` kwarg, and setting it to `'minmax'` sets the minimum of each parameter value to zero and maximum to one."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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]
},
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" embed_document(root);\n",
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" embed_document(root);\n",
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" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
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"bokeh.io.show(\n",
" bebi103.viz.parcoord(\n",
" samples,\n",
" omit=[\"Tau\", re.compile(\"Sigma.*\"), \"*_prc\", \"log_lik\"],\n",
" transformation=\"minmax\",\n",
" )\n",
")"
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"This plot is more revealing. We see (especially if we zoom in) that most of the divergences are going through small `tau[1]`. This is indicative of the \"funnel\" behavior often encountered in hierarchical models."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Corner plots\n",
"\n",
"Corner plots display scatter plots of samples from all pairs of variables, as well as histograms or ECDFs for individual variables. We can make a corner plot for the hyperparameters and also for ρ."
]
},
{
"cell_type": "code",
"execution_count": 15,
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{
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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"theta[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3904],\"dtype\":\"f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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"tau[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" embed_document(root);\n",
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" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
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"source": [
"bokeh.io.show(\n",
" bebi103.viz.corner(\n",
" samples, parameters=[\"theta[1]\", \"theta[2]\", \"rho\", \"tau[1]\", \"tau[2]\"]\n",
" )\n",
")"
]
},
{
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"source": [
"These are very useful plots for interpreting a posterior, and also for diagnosing problems with sampling. The divergent samples appear in orange. The clustering of divergences for small `tau[1]` is clear.\n",
"\n",
"The diagonal can also be plotted with ECDFs."
]
},
{
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{
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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"tau[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"tau[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"__ECDF_theta[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3904],\"dtype\":\"float64\",\"order\":\"little\"}],[\"__ECDF_tau[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"918a2370-9277-49d6-9bef-0671c0b98323\",\"roots\":{\"ab4b4f76-8f31-4230-9dbc-ee4cffc88124\":\"a27c39f4-e63e-4c6f-a1b9-33fdea7686ae\"},\"root_ids\":[\"ab4b4f76-8f31-4230-9dbc-ee4cffc88124\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
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"id": "ab4b4f76-8f31-4230-9dbc-ee4cffc88124"
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"source": [
"bokeh.io.show(\n",
" bebi103.viz.corner(\n",
" samples,\n",
" parameters=[\"theta[1]\", \"theta[2]\", \"rho\", \"tau[1]\", \"tau[2]\"],\n",
" plot_ecdf=True,\n",
" )\n",
")"
]
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"source": [
"## Inferential calibration\n",
"\n",
"In a [principled Bayesian workflow](https://betanalpha.github.io/assets/case_studies/principled_bayesian_workflow.html), inferential calibration is a useful tool to identify pathologies in a generative model and in the sampler's ability to draw samples from it.\n",
"\n",
"Briefly, the procedure is:\n",
"\n",
"1. Draw a parameter set *θ* out of the prior. \n",
"2. Use *θ* to draw a data set *y* out of the likelihood.\n",
"3. Perform MCMC sampling of the posterior using *y* as if it were the actual measured data set. Draw *L* MCMC samples of the parameters.\n",
"4. Do steps 1-3 *N* times (hundreds to a thousand is usually a good number).\n",
"\n",
"For each of these calculations, you should run diagnostics to make sure the effective sample size, Rhat, etc., are within acceptable ranges. You can also compute z-scores (a measure of how well the MCMC samples reveal the ground truth), shrinkage (how informative the data can be), and rank statistics (used to check sampler performance). Please see the [Talts, et al. paper](https://arxiv.org/abs/1804.06788) for details on these quantities and their interpretation. Our focus here is how to use the `bebi103.hmc.()` function to perform the analysis and compute these quantities."
]
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"### Example model\n",
"\n",
"We have already seen in the example so far that we have divergences and the sampler does not seem to be able to sample small values of `tau[1]`. We will therefore write a new Stan program where we have noncentered parameters. The Stan model is:\n",
"\n",
"```stan\n",
"data {\n",
" // Total number of data points\n",
" int N;\n",
"\n",
" // Number of entries in each level of the hierarchy\n",
" int J_1;\n",
"\n",
" //Index array to keep track of hierarchical structure\n",
" array[N] int index_1;\n",
"\n",
" // The measurements\n",
" array[N] real x;\n",
" array[N] real y;\n",
"}\n",
"\n",
"\n",
"transformed data {\n",
" // Data are two-dimensional, so store in a vector\n",
" array[N] vector[2] xy;\n",
" for (i in 1:N) {\n",
" xy[i, 1] = x[i];\n",
" xy[i, 2] = y[i];\n",
" }\n",
"}\n",
"\n",
"\n",
"parameters {\n",
" // Hyperparameters level 0\n",
" vector[2] theta;\n",
"\n",
" // How hyperparameters vary\n",
" vector[2] tau;\n",
"\n",
" // Parameters\n",
" vector[2] sigma;\n",
" real rho;\n",
"\n",
" // Noncentered parameters\n",
" array[J_1] vector[2] theta_1_noncentered;\n",
"}\n",
"\n",
"\n",
"transformed parameters {\n",
" // Covariance matrix for likelihood\n",
" matrix[2, 2] Sigma = [\n",
" [sigma[1]^2, rho * sigma[1] * sigma[2]], \n",
" [rho * sigma[1] * sigma[2], sigma[2]^2 ]\n",
" ];\n",
"\n",
" // Center parameters\n",
" array[J_1] vector[2] theta_1;\n",
" for (i in 1:J_1) {\n",
" theta_1[i] = theta + tau .* theta_1_noncentered[i]; \n",
" }\n",
"}\n",
"\n",
"\n",
"model {\n",
" // Hyperpriors\n",
" theta ~ normal(5, 5);\n",
" tau ~ normal(0, 10);\n",
"\n",
" // Priors\n",
" theta_1_noncentered ~ multi_normal([0, 0], [[1, 0], [0, 1]]);\n",
" sigma ~ normal(0, 10);\n",
" rho ~ uniform(-1, 1);\n",
"\n",
" // Likelihood\n",
" for (i in 1:N) {\n",
" xy[i] ~ multi_normal(theta_1[index_1[i]], Sigma);\n",
" }\n",
"}\n",
"\n",
"\n",
"generated quantities {\n",
" array[N] real x_prc;\n",
" array[N] real y_prc;\n",
" array[N] real log_lik;\n",
"\n",
" {\n",
" vector[2] xy_prc;\n",
"\n",
" for (i in 1:N) {\n",
" xy_prc = multi_normal_rng(theta_1[index_1[i]], Sigma);\n",
" log_lik[i] = multi_normal_lpdf(xy_prc | theta_1[index_1[i]], Sigma);\n",
" x_prc[i] = xy_prc[1];\n",
" y_prc[i] = xy_prc[2];\n",
" }\n",
" }\n",
"}\n",
"```\n",
"\n",
"Let's go ahead and compile the model and draw some samples just to see if it alleviated the problems with divergences. We will use extra warmup to make sure the chains are achieving stationarity."
]
},
{
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"chain 2: 0%| | 0/3000 [00:00, ?it/s, (Warmup)]"
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"chain 3: 0%| | 0/3000 [00:00, ?it/s, (Warmup)]"
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"chain 4: 0%| | 0/3000 [00:00, ?it/s, (Warmup)]"
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"text": [
" \n"
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],
"source": [
"with bebi103.hmc.disable_logging():\n",
" sm_nc = cmdstanpy.CmdStanModel(stan_file=\"sample_model_noncentered.stan\")\n",
"\n",
" samples_nc = sm_nc.sample(\n",
" data=data,\n",
" chains=4,\n",
" iter_warmup=2000,\n",
" iter_sampling=1000,\n",
" adapt_delta=0.95,\n",
" seed=3252,\n",
" )\n",
"\n",
"samples_nc = az.from_cmdstanpy(\n",
" samples_nc, posterior_predictive=[\"x_prc\", \"y_prc\"], log_likelihood=\"log_lik\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And we can check a corner plot to check for divergences."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
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\"},\"shape\":[3993],\"dtype\":\"float64\",\"order\":\"little\"}],[\"theta[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3993],\"dtype\":\"float64\",\"order\":\"little\"}],[\"rho\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3993],\"dtype\":\"float64\",\"order\":\"little\"}],[\"tau[1]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[3993],\"dtype\":\"float64\",\"order\":\"little\"}],[\"tau[2]\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"78fb4693-dfb4-4e15-a556-c76ca863d4ff\",\"roots\":{\"b2f18162-c729-434f-b1b2-fc5ddf10bc37\":\"d447065d-0cda-499c-9de7-a0de61197130\"},\"root_ids\":[\"b2f18162-c729-434f-b1b2-fc5ddf10bc37\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
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" embed_document(root);\n",
" } else {\n",
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" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
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"application/vnd.bokehjs_exec.v0+json": ""
},
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"application/vnd.bokehjs_exec.v0+json": {
"id": "b2f18162-c729-434f-b1b2-fc5ddf10bc37"
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"output_type": "display_data"
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],
"source": [
"bokeh.io.show(\n",
" bebi103.viz.corner(\n",
" samples_nc, parameters=[\"theta[1]\", \"theta[2]\", \"rho\", \"tau[1]\", \"tau[2]\"]\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We still have a few divergences, which I will leave unrectified so that we can demonstrate diagnostics results in inferential calibration in what follows."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Building an inferential calibration calculation\n",
"\n",
"To build a simulation-based calibration, we need to write a Stan program to generate data sets based on parameters drawn out of the prior, as prior predictive model.\n",
"\n",
"```stan\n",
"data {\n",
" // Total number of data points\n",
" int N;\n",
"\n",
" // Number of entries in each level of the hierarchy\n",
" int J_1;\n",
"\n",
" //Index array to keep track of hierarchical structure\n",
" array[N] int index_1;\n",
"}\n",
"\n",
"\n",
"generated quantities {\n",
" vector[2] theta;\n",
" vector[2] tau;\n",
" vector[2] sigma;\n",
"\n",
" for (i in 1:2) {\n",
" theta[i] = normal_rng(5, 5);\n",
" tau[i] = abs(normal_rng(0, 10));\n",
" sigma[i] = abs(normal_rng(0, 10));\n",
" }\n",
"\n",
" real rho = uniform_rng(-1, 1);\n",
"\n",
" array[J_1] vector[2] theta_1;\n",
" for (i in 1:J_1) {\n",
" for (j in 1:2) {\n",
" theta_1[i, j] = normal_rng(theta[j], tau[j]);\n",
" }\n",
" }\n",
"\n",
" array[N] real x;\n",
" array[N] real y;\n",
"\n",
" {\n",
" matrix[2, 2] Sigma = [\n",
" [sigma[1]^2, rho * sigma[1] * sigma[2]], \n",
" [rho * sigma[1] * sigma[2], sigma[2]^2 ]\n",
" ];\n",
"\n",
" vector[2] xy;\n",
"\n",
" for (i in 1:N) {\n",
" xy = multi_normal_rng(theta_1[index_1[i]], Sigma);\n",
" x[i] = xy[1];\n",
" y[i] = xy[2];\n",
" }\n",
" }\n",
"}\n",
"\n",
"```\n",
"\n",
"To use it in inferential calibration, we need to compile it."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"with bebi103.hmc.disable_logging():\n",
" sm_prior_pred = cmdstanpy.CmdStanModel(\n",
" stan_file=\"sample_model_prior_predictive.stan\"\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Running inferential calibration\n",
"\n",
"Finally, we are ready to perform inferential calibration using the `bebi103.hmc.inferential_calibration()` function. We need to tell the function\n",
"\n",
"1. What Stan model to use for the prior predictive model.\n",
"2. Which Stan model to use for posterior sampling.\n",
"3. Which `data` dictionary to feed into the prior predictive model.\n",
"4. Which `data` dictionary to feed into the posterior sampling mode.\n",
"5. What the names of the measured data are. For multidimensional data, do not include indexing. In the present case, the measured data are `['x', 'y']`.\n",
"6. The names of the posterior retrodictive variables. These are not used in shrinkage, z-score, rank statistic, and diagnostic calculations and are included in the `omit` and `omit_array_entry` kwargs.\n",
"7. The name of the log likelihood variable. This is ignored in the calculations and included in the `omit` kwarg.\n",
"8. The data types of the measured data.\n",
"9. Any kwargs to use in posterior sampling.\n",
"10. Any kwargs to pass to `bebi103.hmc.check_all_diagnostics()`.\n",
"11. How many cores you want to use for the calculation.\n",
"12. How many calibration calculations you want to do. You should do at least 400; 1000 is a good number.\n",
"\n",
"Inferential calibration calculations are lengthy, so to keep the runtime of this documentation manageable, we will load a pre-computed inferential calibration result if it is available. For reference, this calculation took about six hours on 16 cores on an AWS c5 instance."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"try:\n",
" df_ic = pl.read_csv('inferential_calibration_results.csv', comment_prefix='#')\n",
"except:\n",
" df_ic = bebi103.hmc.inferential_calibration(\n",
" prior_predictive_stan_file='sample_model_prior_predictive.stan',\n",
" posterior_stan_file='sample_model_noncentered.stan',\n",
" prior_predictive_model_data=data,\n",
" posterior_model_data=data,\n",
" measured_data=['x', 'y'],\n",
" measured_data_dtypes={'x': float, 'y': float},\n",
" sampling_kwargs={'iter_warmup': 2000, 'adapt_delta': 0.95},\n",
" diagnostic_check_kwargs=dict(\n",
" omit=('log_lik', '*_prc'), \n",
" omit_array_entry=('Tau[1,2]', 'Tau[2,1]'),\n",
" ),\n",
" output_csv='inferential_calibration_results.csv',\n",
" cores=8,\n",
" N=1000,\n",
" progress_bar=True,\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The output of the inferential calibration calculation is a tidy data frame with the results for each of the 1000 trials."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (13_000, 26)| trial | parameter | ground_truth | rank_statistic | mean | sd | shrinkage | z_score | Rhat | ESS | ESS_per_iter | tail_xi_hat_left | tail_xi_hat_right | inc_tau_hat | variance | n_divergences | n_bad_ebfmi | n_max_treedepth | average_accept_proxy | warning_code | prior_predictive_seed | posterior_seed | L | prior_predictive_prefix | samples_prefix | error |
|---|
| i64 | str | f64 | i64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | i64 | i64 | i64 | f64 | i64 | i64 | i64 | i64 | str | str | str |
| 0 | "rho" | -0.154069 | 604 | -0.024102 | 0.124772 | 0.955467 | 1.041641 | 1.001715 | 2642.254985 | 0.660564 | -0.289968 | -0.380227 | 0.000399 | 0.015568 | 25 | 0 | 0 | 0.942442 | 257 | 297456205 | 1049904557 | 4000 | null | null | "no error" |
| 0 | "sigma[1]" | 0.451398 | 1231 | 0.477237 | 0.045503 | 0.999949 | 0.567839 | 1.001352 | 2813.647741 | 0.703412 | -0.453938 | -0.269356 | 0.000362 | 0.002071 | 25 | 0 | 0 | 0.942442 | 257 | 297456205 | 1049904557 | 4000 | null | null | "no error" |
| 0 | "sigma[2]" | 10.17805 | 668 | 11.17185 | 1.045518 | 0.967509 | 0.950534 | 1.001016 | 2966.440847 | 0.74161 | -0.272726 | -0.269964 | 0.000337 | 1.093108 | 25 | 0 | 0 | 0.942442 | 257 | 297456205 | 1049904557 | 4000 | null | null | "no error" |
| 0 | "tau[1]" | 0.529298 | 1691 | 0.928202 | 0.859715 | 0.979039 | 0.463995 | 1.001753 | 790.653705 | 0.197663 | -0.792786 | -0.11534 | 0.001399 | 0.73911 | 25 | 0 | 0 | 0.942442 | 257 | 297456205 | 1049904557 | 4000 | null | null | "no error" |
| 0 | "tau[2]" | 3.6318703 | 2515 | 3.506743 | 3.086189 | 0.732919 | -0.040544 | 1.005851 | 1441.21152 | 0.360303 | -1.258229 | -0.134348 | 0.000848 | 9.52456 | 25 | 0 | 0 | 0.942442 | 257 | 297456205 | 1049904557 | 4000 | null | null | "no error" |
| … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … | … |
| 999 | "theta_1[1,2]" | 23.294449 | 1759 | 23.832732 | 3.504183 | 0.905783 | 0.153611 | 1.001902 | 2440.008467 | 0.610002 | -0.407182 | -0.28614 | 0.000457 | 12.279297 | 0 | 0 | 0 | 0.96791 | 0 | 1812196502 | 734172752 | 4000 | null | null | "no error" |
| 999 | "theta_1[2,1]" | -4.330547 | 649 | -0.319537 | 4.035135 | 0.870648 | 0.994021 | 1.000207 | 5350.124304 | 1.337531 | -0.400866 | -0.309748 | 0.000202 | 16.282313 | 0 | 0 | 0 | 0.96791 | 0 | 1812196502 | 734172752 | 4000 | null | null | "no error" |
| 999 | "theta_1[2,2]" | 20.703637 | 3452 | 17.608484 | 2.881193 | 0.935649 | -1.074261 | 1.000118 | 5190.296919 | 1.297574 | -0.296152 | -0.320009 | 0.000198 | 8.301275 | 0 | 0 | 0 | 0.96791 | 0 | 1812196502 | 734172752 | 4000 | null | null | "no error" |
| 999 | "theta_1[3,1]" | 45.416861 | 3885 | 36.570224 | 4.76149 | 0.813384 | -1.857956 | 1.000244 | 4691.256925 | 1.172814 | -0.316922 | -0.310625 | 0.000225 | 22.671782 | 0 | 0 | 0 | 0.96791 | 0 | 1812196502 | 734172752 | 4000 | null | null | "no error" |
| 999 | "theta_1[3,2]" | 12.344925 | 154 | 18.421358 | 3.364857 | 0.905566 | 1.805852 | 1.000597 | 4943.744802 | 1.235936 | -0.390981 | -0.286643 | 0.000212 | 11.322262 | 0 | 0 | 0 | 0.96791 | 0 | 1812196502 | 734172752 | 4000 | null | null | "no error" |
"
],
"text/plain": [
"shape: (13_000, 26)\n",
"┌───────┬─────────────┬─────────────┬─────────────┬───┬──────┬─────────────┬────────────┬──────────┐\n",
"│ trial ┆ parameter ┆ ground_trut ┆ rank_statis ┆ … ┆ L ┆ prior_predi ┆ samples_pr ┆ error │\n",
"│ --- ┆ --- ┆ h ┆ tic ┆ ┆ --- ┆ ctive_prefi ┆ efix ┆ --- │\n",
"│ i64 ┆ str ┆ --- ┆ --- ┆ ┆ i64 ┆ x ┆ --- ┆ str │\n",
"│ ┆ ┆ f64 ┆ i64 ┆ ┆ ┆ --- ┆ str ┆ │\n",
"│ ┆ ┆ ┆ ┆ ┆ ┆ str ┆ ┆ │\n",
"╞═══════╪═════════════╪═════════════╪═════════════╪═══╪══════╪═════════════╪════════════╪══════════╡\n",
"│ 0 ┆ rho ┆ -0.154069 ┆ 604 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ 0 ┆ sigma[1] ┆ 0.451398 ┆ 1231 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ 0 ┆ sigma[2] ┆ 10.17805 ┆ 668 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ 0 ┆ tau[1] ┆ 0.529298 ┆ 1691 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ 0 ┆ tau[2] ┆ 3.6318703 ┆ 2515 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n",
"│ 999 ┆ theta_1[1,2 ┆ 23.294449 ┆ 1759 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ ┆ ] ┆ ┆ ┆ ┆ ┆ ┆ ┆ │\n",
"│ 999 ┆ theta_1[2,1 ┆ -4.330547 ┆ 649 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ ┆ ] ┆ ┆ ┆ ┆ ┆ ┆ ┆ │\n",
"│ 999 ┆ theta_1[2,2 ┆ 20.703637 ┆ 3452 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ ┆ ] ┆ ┆ ┆ ┆ ┆ ┆ ┆ │\n",
"│ 999 ┆ theta_1[3,1 ┆ 45.416861 ┆ 3885 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ ┆ ] ┆ ┆ ┆ ┆ ┆ ┆ ┆ │\n",
"│ 999 ┆ theta_1[3,2 ┆ 12.344925 ┆ 154 ┆ … ┆ 4000 ┆ null ┆ null ┆ no error │\n",
"│ ┆ ] ┆ ┆ ┆ ┆ ┆ ┆ ┆ │\n",
"└───────┴─────────────┴─────────────┴─────────────┴───┴──────┴─────────────┴────────────┴──────────┘"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_ic.sort(by=['trial', 'parameter'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each parameter for each trial, the ground truth is given (as drawn from the prior), as well as a rank statistic, mean, standard deviation, shrinkage, and z-score. MCMC diagnostics are also reported."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting results\n",
"\n",
"We will not go into much detail about interpreting results here, directing you instead to the [Talts, et al. paper](https://arxiv.org/abs/1804.06788). We will instead do a quick run through some of the results and suggested visualization procedures, highlighting some of the useful functions in bebi103 along the way.\n",
"\n",
"We can first check what diagnostic warnings we encountered. There are thirteen parameters, so we can count the warning codes and divide by 13 to see how many MCMC calculations had problems."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (20, 2)| warning_code | len |
|---|
| i64 | u32 |
| 0 | 556 |
| 1 | 245 |
| 2 | 68 |
| 3 | 35 |
| 17 | 4 |
| … | … |
| 338 | 1 |
| 345 | 1 |
| 347 | 1 |
| 354 | 3 |
| 355 | 1 |
"
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"text/plain": [
"shape: (20, 2)\n",
"┌──────────────┬─────┐\n",
"│ warning_code ┆ len │\n",
"│ --- ┆ --- │\n",
"│ i64 ┆ u32 │\n",
"╞══════════════╪═════╡\n",
"│ 0 ┆ 556 │\n",
"│ 1 ┆ 245 │\n",
"│ 2 ┆ 68 │\n",
"│ 3 ┆ 35 │\n",
"│ 17 ┆ 4 │\n",
"│ … ┆ … │\n",
"│ 338 ┆ 1 │\n",
"│ 345 ┆ 1 │\n",
"│ 347 ┆ 1 │\n",
"│ 354 ┆ 3 │\n",
"│ 355 ┆ 1 │\n",
"└──────────────┴─────┘"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_ic.group_by(\"warning_code\").agg(pl.len() // 13).sort(by='warning_code')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Most of the samples either had no diagnostic warnings (warning code `0`) or only divergences (warning code `1`). To help interpret the rest of the warning codes, we can use the `bebi103.hmc.decode_warning_code()` function. For example, we can check warning code 17."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"divergence warning\n",
"xi_hat warning\n"
]
}
],
"source": [
"bebi103.hmc.decode_warning_code(17)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This means that we had divergence and ξ-hat warningss. All together, the diagnostics tell us there are some problems with our sampling as we have it set up. Perhaps we should take more iterations, increase `adapt_delta`, and also increase `max_treedepth` in doing the calculations.\n",
"\n",
"We should also check the z-score and shrinkage. We will plot the z-score vs. shrinkage for each parameter, coloring the glyphs by the warning code. This coloring enables us to see if any of the MCMC diagnostic issues might be affecting shrinkage and z-scores."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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nzq+NzN0rhKQwv1n0m0h8Ne82VUX//m+169mFC0IZEm8+n3QIvh344wxF0EH3CNrodHMsS6q3JUV/HkK/Ha94uE/OJfvyfbjdLyLUl079hyF/jzNLTux7wZ0eU12Wgf81hWNgsmOVxh6726pvhG8cqbJLWr7d5bU/7b+1v3L0GHSumgLfAxPa3E+V8Whn2bB3fnId1shb72VGEPa485OKJDjERPVqZBfxFJmeW9nM/AZfuep8BLwhkCLGM8CfFRSPBrNQdy/6a59lnGuh1IsrNM+NgPnw8diJbDflvCTjdMOM2TzsOl95UEemQm2CXqEMyQVZPbksylLi+5Os7sHPNfm9BtuiUC83M1spoPHfoRs7psP/tvGJ3k+B8/PqlHLOlHH0BknrYqH0K//9EoP5EE/vZ99yd+9g0NKvWLDgvA35c0LLJccgG9Kc3/5/CePHNiLWstRdzUjwpa78bvTN+PoQJy3M/Kky2z4DpfbYp4JhahDh/krc8CPqVLvc6NR1+JD9vsFgOteT7kK3jLwd9ePLTbwtbGT1GwewOdm8vvJeGCdhXVLTwV84dHpqeFbbv677y7V5ELE5ZGov9/92wyFpkcPmaJOp2RdEWdvwR++n6/9MBn9WPUiaR34o4gklVczofeOM2sfTVVh6BZrYXIN/VZ9ZeaSofvo77qv1TTvhH46a0dPtgBeChfKHH4KHRRI0F0Cn5c32d4gBed4oT9NXRH8/HhX1wMv4KNEYc6xEXUevdvzRmgi+PJ3/TutU6ibxF3RA7YaPFIJWTBOAb7pd1R4eH0j/Mn76lCvSehzDW9mbVKFz0+/as9nCB8hIfpkAvhg5u9pK43Bi+YNAV7WqMtzB29qroHO7Lg5f/gs8PumaNnccegr8kq2ynbi/uWs2thXHkPZvsM7/sDXHKgwXHI5E/Vxveq7J3iAHpkfNMV6co7BMS2KyGuzU8gc9ANjRem1ntDL/e5uHbXwEwld1X9Ycx6Jpg/PWQk9032QJGp2naVV0ROe1EB3pYaKDBUQ97LTxW+qBeHzhMLf2k0G70qr+apWgY+8rGLM4fdyfd/oH0vn0avF2XHRiJeCiHLiRcTldOHvtSl5XJLaGcduPQIe5S33y0L8erSu73qCfGs+TJ204xPi9fZMpx38o+w41XOvVLikFLHJRsPyO3392n7nBepYRz7mVg7iseVkTVwO+Cj78tdLnfAfn0Q1b5o9g+4a2qkU3mQpTP6JTMoN+Mli/pU7E8DLE8LrMvt5tGJoKNoS/uitxGnRrfC1p9wqFi4Lwz1kVTWfol8ybrVQW/ORJaUSMpZC3n/HWcivP4g+Qdrticw96MJlM7fPuJ/+G+Gzi+FPThX5R/w3C7iYud9v4yeGTmZOlzyP+rbSTvngKwB9CJCd4QGeyHn738ukDoYkIvhK5mRDp6pNj64DTnpEz2+fi35N96ZM6XHwvWN//IFi9BsnJn96RKhL1uNG/JkYHnE+9m761y9scLKbpI+8LRdcG2cBHdKcc0eqBv65I1XjdTAPvmjOxd/arfDL6Rkfxy+Hjw2YWOuBvN1cKX27GvHqkhoftnMu+Hq0cstsLkO1vgGfT60FTr68zBGBzpT6VG1xeMHQqeGMurP+4NvFBW1Cy7mU4bxZoRH6//1kltk85PVqzZ+QxzjPo3nlJa1KLG2+kG0TjfhE+3UdszbE5+QSs1Scv6/+TZAQ9OdzUYqwE/gkY8k5Q2Pww/efma+UcO7yg1p8xtDRvOAQ36x4Lln9Wa/yEbpwcXLdLjecTzZIsbgTvvqgzJef1cj7XKcawVFuD60ecmC+YT5j+kPJogXneGbWIrL/MIdMq0plXwFvydus+zLswCuOZikVQajn+MsO1fBLiiKnUoLX8ajprmhHXn4PjZjG2WoaI84ftnkZ6UD3zPxH30GfciplL1a2ge/lQlXjJvHIKmjNh3Hwu8bt3xS8ZHG/QE/VCOiBv8n1OmHwtfrXcrvDOizpc9bEp1bxyE8unX0zA754qkNMCXAy4NCcmod6mtj44KrRfoamtwuvvnAZ/u+K3bEh4Cs6zmhCLvxSh7iMhwL6g2kd8m0Z7ajjztZdjwtZ2l4UtrwM+32+qxooCFxKXgu9IwxeXt8ub9wGvOavTHVaBH67czF9dDrO57GjRiu5mKH84JQDG5LR9+zrVL/og37j6/qEk/BRR4QutQfxeDRvTsdQrQf6nCNJ8hO+99BHmaknqrHP95YMgSCcI4z/+qBPGEtT03q/8Jyxvu2yK//mAzE/e2ScEGeh+JCpmeDv0XevF/y4waFv9xMsrnSw9MVA0mDpHJYsP3rNCoQPidn+W0IAdZGf3blPPpshdVPx1K150AuR40np4LUbp2Vs74P/vfOHrVqBrxqpjN45wGvrxeF92paYc0m7f5yLc729Z9/svhW+tn2izX0hhh6ci5Qob+JRkN2Oen0rluxX3q7fcZaltJLkdeVcHk3mZfyU0YYvj3JrTzwL/xXg9JkLvqs3SCuYjDlIq2N2yN4Y+PyOV+H/5h9SP58s7MH+ZxfnWu1dzSOWO/B3J85b30gVn/DeysFD/GvQ/8VWy29WxZxC4efw1hzwjYQIGzYF/dGFVoPEHMQl6L/TNeOwXsbzmS3mk1k6ll5y6wnwXKNYryuwFnnNVozJdOPSrTJbNhNzJ88tb2IHSxiqjjOplkM9NExc2dcjxpJwNx+bg3uPZPgdvwffJqVgP8UT73s8+uS4AnNLOY9zYo2od1t7zexMBvfXvHq/HnU3yaua+jbD5zsvn5CNc+51vXXVAHPX56EbnqWWY47nnuO5IAn9nmydR+NJ9P/OHP4nwD29PbhDcQn657YfnRXPGVru784nAb5RO+1yXOYLQws8B/nnfuWS7W7tBYYs5qyjH3blB4LHG3ZmeL8Ev1wUCPvna6Y8WHfgOu7dWTXmPht9xW2BhCn3kP8P32Pd/unRyya9kpTzmC9M7Ak5Bl5PSd4SGoPnFHzFP84HXqYE+d5dDT4RCzH2Pow8GHUZqoViDiJvOZt/CnjOavPXeqMozEtyDg1eAo7EA8rKxGV4JOLomB8MH//NWtW92BHzFa6QciDwdXTFgpgGJYYMIy1DOVEM9Qba7luNflsj8kWbVjeXJj4ydP2GfL2YuemnJngq6c7yQu84xOmF6sJw+ITpMpVDDqpcmt//9+mgLfSSKUipx7k3Wrr7aqMe3rm07E1Gn+/eP+nI3AsMGXF6NJa+Z6idUZfsxD1jo3X2WDyGjynSWrUYPKtb73++ETxv/qndYjXyfU9cSMkXui4Sltz5IYmhZZkHlc3gq+1qmuWbcN/nJgbzJqBuEzOfeTkK47kDzVt347wFUpX+8cDjlBOCN488go//fKW3Dv7kWNkM/zXwnUtFwsYp/vMJ590bJl0F//Fz7Oy+4f6zmpIP5sO/lJgc2OmHPur3RsMI5JGf/3GevxZL/a5mizyUeCR2/JnWLtwvgTRejtgwxPdFV9QGPCqad/eLMe4/575g/hj46VmVp3UbfGWeQFoF08ij/OP6JaXg6xUBkQ3/zrl/M8fbB7gz2WwyOhv9eWFnLCcOPHXxm8uT+i7ojOvnj1XI/wTFeZYmOI+MpN+S89j3d1L7X+V61IO2044W1J9wvbd4C3Tvwvy73WtQp9vCn/dexby1pqmjrtCPSz7fCxNGwFt/tN49HkGchYz1kscnYE54eSx8AupYI3yBcM8i9F0rvSz6of9+Mlllr7DOLivesmonnDPNf1KhC3zattdizdh/t8lKFdVsliLTXylZYr3BGPOjT+XgZ2Y1eX0C757n6z9zH35RKT/CdsJ79D8mBQG/8N4sHTOxasS/esjx9EfgrymtNsdIm0fn/Srs5aB/Notb0sIRl9NKVrVD6F97r5aKJCrD1+hR/6lzmNvu3mO6/Tnqik+icqY0l7arX2g1OoO4TXYUb0J/dMKFe8kd+2y+FZtoDnzciro56oZ7Vz9mYy7h+9m5M4Kcodc87rx35XvhGwev1i7D9yomp5orkbcZ0Y++GWzgUo2udOoQvo8zHMhxzML84fC+v/MQn+tDaZZBlYiL1LfynQqoa6fS4T2oq3iP9o69yKN7UWz+PE344AeVlQbH0a8oKqvPgO8cvN+ad8Ab+1x9p/4aPK3XZW5yoxH4fjkcJAZ/KDv9+JqP2M9P6EfKIOLwK/Npdj748pjxL3V7V/x/QE5vxRLg4MqMhhbnF/hcwX2QAV+3MP/z1HpHLjn2zp4tCb3SnNIgqQ78ehgP6BytwbztGufhrAAe5ZmfED6P9V5fqAoMx1xfJ+uptJU2+jIpefWOrwzZ5myQ3ZIGfol6652AfH4Kcess4UMdBl76a90OnV2+1J3AszUnkxMzJDHHyn2y5g7m/b4jhlKbwbNLvs6gQfy9oSb3wwP3YH9Nahvq5tF1+a5SSdSZyiLFYRfUj9YKvx57+JhRucn6Tx5j3tP3454N5slDp48U3TVlaJG5yYJevN+uHndppRTqrtPMvqCXoYwb5RLx27lkuvawzx/0SZeuLbpb4/Cd/GKkRyUs//XzGnJzwSv2Cp7sMPDTGtWlxIO/EzxvnpeOPoujP6nVH37TdGx9kDL0kwLt1gk/YWjT8dNzW4HPM6ctBnKlGNpxatbl/4BLzTtfpK7jOV2+iB8n+vD8qoXNsuWokya7TsfliPvfDmlR8JPYkP+0XPiadZxPIZcwz9Vr9Dr+b+7+q2lPxFXweduOfT8roS/jjq+bsBt1tNhgVn0a1l1c7jf1IPzXzuJPItrQEePYh9vXXkSfsD+qXA68WzGF/nQ/RT33NCzd58pQZZfKxK2od9et+4XPAAdFPIGK6lYeBfuK9KwCHzo+fP2nE31eyaxzbemoU1/bbTsu53Iosf/Q93TwkMqJfrlDOG/wft21n+H7L6WKbvwM3xPxpktR4gqPTgl3eczrRl5Wros21IDeNBV/8gavGVVOFbtuDNzXrMk/ZcYh83trl1rocOhvSoDAceBh4V/hvOM30J/L1ZmEo5+MD9+27ypwndpdMzMAvNSi+PdMD+bW2io1t0vhM9R9Jqq/hg4vT+Im1YEXNS0TG25BzzT7/E2CgzikpSA12wzxy9f8Pf1yNpc+vhD9Eg49F5zrsfTaWx7JPE4ZlgtgKTBAT/U09Kh40TT566sxd9pb8qq0BvXEZ6MhdJmlrTlyfHVYx0VxVz4Dvk32qeXkwB9kHZJWFwEO5HOGEszhP98aMpnzEAfFaQ3ndb3+6XnZnW+xwDHnzoAZ6mziJWWzJ/BLJrd8wrXAhzLvOHe3g2cjjyb7LQZOVBTi319GPtWixetfGYIn1cW65yHOFHqmgLC+vP7jle6Y7wp0iPr7ov461x49NQpeyFscXRC1+Sutq43ze4u4OfqHFHwET22s/35nbQtDwbdXnxcADz985C79B/qoKN42sgn6Kqb7oqAfdbbunHbjv/5GKHdRxI1lDFnNj3/tUYm+5d1Q+mycK27nwkPzFkOvdhwTX4g4zG+eqT0T+hfiyj99GepDelKi0gbwlY1lpXIe8tTaurtlkQnitUTA+Sh48+zQA2Un+KMiTdffivh/Y+WuDGtvWeThqkNuNO6x6uhsvvv4nX/5/JK7OJ+O7lsVrVEura2pUi6B3zqh+NDBXwL4teAzeo39/wd6SGesQB8AAA==\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"H4sIAAEAAAAA/w2Zhz8VXBjHzYRQioaQUIrMjISHCJFKg1RGkkIUkchLpQgVUQiJNFD2KuS5yM7e++Je3Ivr2juvf+B8nnOeM77f33kQVaqtKJAPInXr4swBDJolu7f5/f1VjYz3i2opjERIKfV3udpHhxAnv0eSbg3wnpns/ObwEIbqSz77WLSMu/6LCH/a0IvPKvO+0XgZNbmV4mOvbutEAREe9b53ZeA2HvnblziPcmwMgZWXmiBW6Mi0C38XtHx7ejv+9CgWODedu+b/G4oeF0YahlJxzSHN6WvoLJ61PWluVtsP69MhUVd/lKHWvyuNLzaPQMfxmrKMB6WwOSR2RCwqA8VWM/2zPlEhayhPIqS7GBzHkfei6zQ2nzn6JhfLke3yE/MYtW7Y8rxa189gGNz/UntG4+jAuuDjQUhcBO6giBdcvNVweYBrSFCyGrYf0ifqJs+Dg/fWP4slTci+LDzByzkDu8edr0r7LOACo7Zp3IlpiLvcmViyfw4FhLujPp1iIEgzuo0ODBXiye12ZZNZs6i2pF89mDGG2y6ZL1uFLUApRtOfGVGQzX97bFlKNRiHWEwyiZIhLEDm5+XbDfiGeomHHj6FmyQebb6eVYMOUm43VrJJwJflRRLmn4CAsl7v8atT0C3FdkZMYBq17BYUCyfq4FDUnpvPtzIQuFQCTuzloyPnG6VtpzXpqKH7pzyLdQjubWHe9FCmFfc1CEoO/2LV5NCx7UjgRhCyLfL0HJ6Bd7HSDTEfWzDrKt1CvGoEtv642/PScRDvu9UQehsb4N/7Ywv++lXYz086/yNxHgS6is7aGg/ibG8wZTOJho6gHjNkToK1Fc+KUalmWH42fFY1fxSC0m1YzpiOgXzYFR3WAQoYnfCvZ7KawO+km6/L9GggT7mo+69xHnyjDib53myHFBSfMen5h5+sjo9NFsyi19/LKjq6M1h4rLmrQp2NoMu7l0oqmkSmq3tDLn4bBCPz3CRzsQKgftPSC7UfQgZT8U3Cuu3gcE74xZdzTbBQpMx7zq0WczrmFW4GT8KPlxZxDPwDwCIx4faMsw3HioO845dJSLkf3dinNw/R5+S5JfoqcRvHM+mvo5WglhD2rymPjrVeEsFW/Mvo+bM4QdR8AOS4k3YeofRjesmtR0lJDIRG4tdrhSWlMP79c6RZezS6Xtp8SyWFiVDyMJgpcUcb5nVnZwa45kJmgZUcaxwRFUo1+aZLZvHZ3Ks36YlVeM36h8zua8Vo3bqsnbJCRUmWLayBF96i8A11zjvZFLB5S3gk+XAFFvSVX4X2N6Gl+3Kxa0UDXu9RuWE9tgRTXw7Ga9Br4DD3tqSfYSS4k/jwmWRtHwrInHmmEzIGPNrUw89p4/DEIYHgfi0JObi6v2iETeJI9U+tJ5Zj+GSKXsYbwqg52a8u/vnSNGyv7COnHCKiF33r1Yg9f9Aj6q9TXucIcoY6nF2+0Y6nDwn/+Tgxi+K/t19g0+zF03LZab/ye6AkQi4htngeskha5aNr8+DyQTTxYG8nCFo7NNZrzoD8TZ7gxqhxfJt8cuyaPQmp2hrXU5JnIbDBXeRFNBU+3dn31ztlEkNqeVgTKhbh7p0hi03aqxhEfKne6URDY4qbC6d4JTLfbxuZ2jULj6dMv/W4LWD/aDQPpW4ChB7SEk5GVOOpaZOotINt2CD6Ui7q3AqkvnodRk2bBU7DXmM5kVI8KPzaJrV0BAXV3CY3q6yisvl+P9FPU8i6qy2HkjeG/qpK4owOSzjoovZIMXgeOmUrpM4ZLGFbUkXnlxcVENhCC33W0oTzaYG41XMOku+/ADOnfvQY8BBgfDuO1XXqZdfqylC2Nbc9ZvcEUN0Ubjx/1ARR0//yrdNIKCcmG1GxVAEXdiX+2ps3go9VXc2boR3iUJp7Lm8B2tX/ttT1NOFPQU6d/LwlkE9MoB+XWgDbYxa7POLo6MWTc+RLUxVocYSFJOxrxeuhP/8cd6PBoyt2tluyG8D1i05Z2uQixBSlOHNvbkPhJYZ1uddkrP/hsN/DjwRs31nde460I4fe1+93DdvBlqnma8x6L6ZavHzzY60Ne3+M5At4zOOLll1lt2zJIMlxRppW04eeYfcUQhy74IAJw6b0xQlAxW961oOL+Dr3nGW0ZTUkkFzXkj9Pg4ZxaaGa0QxWl9S2tUXPQmqwXJ/IYiee6IiuSmKcAqcvFwosqzfqtR4R5Xw7DKyPWhd9/Tvx9VxJSpMQGYM4PANkxOZAq8lRdWh+EPXOrD3rfTQOtjOQlaXXjN95pI7/XF9Cx+V9Su+HRzD0ID35QBMN4zYzMdIdqDCKwpwP3GawzF/1XqX+AHqJpSlrHaFhc73lGcEhCgaXMkS0bqeA/ZEHZjZGY6Dm8XL0FhcHgf5pMqCgfQpLt2Tf+7O7GsuXTUc5WXo36uM5zTy+0QeuXkuNl5NgtrOL/SsbCbfxsYZEKQ3D6RjlRf/wNqBI7MzbeoWGTnS+7M0uHfC9uKbyzoN5OOpx49HvFToKvWNtJtm1QvzegyGJuvkg76lH2k4fh6rLv483DrJoFs0EmUsPNuIRzVMj9wuqcKro77yo1xx8ZQrZTk8MAPKRJLvm70SUrXQKHvz3B5YrT73clNMO6g+Di7IN5iBN4Zfr6wt0FNzj1awe24jlm1gP6iIZzerUZSfII0hQfPyrpYOCoSwBT+tyiIBP7jxdbRyF64wykaYThcAWfo+mcfYT/krRcoVfGdjHmVtfG76MD0XMLW++osPIf17tYgOtyOk0GmzJWIqG6j71Zw1I4OvGoc/slwT+lB0uwp5EeDBvkauzn1UzXvjDgpfpLDBI9ObcTZmCQfJZBUVxOjKtszpfs1+ALHEblvKXRJQ6NE/wTKajpeeQQLVvNW7vlflcqjUPieM7pPla+4CTfdXTX7gK7j9/rxjuTsRr3LnmXEkUfL5wiii5eQoFF3SZt0mvAD/TBYlM925Q50O+R2XLaOn7RSeD+A96tHgqs5yn4bKOxvwHcge0BF3dPZ02gZlii1HR6VRsO3nXrWlnNZzAJRdrzg5obm06Ka5SB0VGXvqHG6twt+JOxhDnIVh/4PxfSsEKsJ0Ydvi0TAL5JCVhhboveGuVet336QywEObmPPSWcI9kbNaHxy0QFR+pa3W8Dsp6mk5J7i1Bp84zItfOFsN5hbCHRYxN0E6w4OoK7gbVYbr3dB8NCDI6N+PeteLrXYe3rbuSQHoX4x96ajsuO+5gJ4zQUZzjPF+vix/+vjkh3cS4CBfH3HztjjfgQ3ODo0v7OpDQ8rSo68kQvvjEGcP7dRJVSF7exPPMmh/0YhzP3WrHKJVZcQ9HIvYyVYJnzhh2rPeEMxDrwUPk/amHelS0E6iTMZdfQw+dJydTxEnIwsbMv5heiX7BhJiHHKvotDxeL7aFhP8Ujtu/SKOCbFq8SA9jG9jxNr09IMRAEC9+3HmFh4o7tHsMs1qmIcXEIqC5pRqHyDOL/tmtaFg1pM0V1QNN2QJ9jJf7YPF7ussL0x5s8c+eTZUk45r9Ry++ajLw3at529nFQIhrY+Qe3NyIjAH23XT1fkhyTXUwnmEgCDpFNPtIUzHCOv9F1E4yNDz2XOabX8Z/sTEapQx0kFluzfw5NwnX1gyaTa6S4f0irSqygI5XMCK4Qy8bDWl9R5R8StAkQfaM6MExIGS8n3n7qhMv/wpQsZVax9fq1F7hv6vwvltITuYMI+FY7euuX0njKF+XPD1cQoTkgorIkyoUeEgqEqxeK0GjqeclT2mxWNAl1Xl68zCeeLV3D9vuWcxjcWe4v6cVY6yOLe4oXIGM53daZI804KO5TVVX6qfw66E/8lUfqvF5xvyrsV46Ejqn//i8JuGUf+rIOTkqHI3hvd25wRc2eYYfG9SGUeqsiXuOJBMh7srrCMXDZGTe7pL3qYeE5SHvB0GhDee3aXy7NtcNuv1qKdyjzIS7HFx0bpsFIPEQSJ8lN9bPu/GLmSwdcT+f6a9QOnyt7w9dZqjB2t3FjK8XhiDoxTirQ/FGn55HpMpuYdRsP9KoLBzegrMfhk7Pm4VCsDOb7eAGdxbSBiZYJxdw+B6RK+kfFWhyPnsq+ibwlFLLwNUPdPCQstfgxwHM/1oSFOzfBD011SdqLDvgaVkTPDiegLnb67dFGU5hiSrP1CWhLqQfDtKaDRnGYsHbzcmrTaCXcInLLqYd1i9lqpmKT2IW20jzmnEu9n1Lk096Q8IDGakf1Qsq0PJWw5pizRiIHahxV7Hrg22sL6retczjaS6z7lBnCl60N2O5GpIG172r3XkKa9H1sdvqzoFZvNFbvx4eNQSX51TMTDdNA97vVI4+NgxbpKRPJW1qhx1C4lrTuIodxOuR/v7jqOL/pSfDdAAFCThzpqoAbK/xJMWc74GAvRZ6jexUqEl0NGzsmEETHlkJa+Ze9JFau2KbTYWANNXvqkp1ICXqHEEL7AUW7YXbqQ69qPNP/d1532Ggvanv6mPsB4g/vv+H0BycvFn5KXHj/sx5qpt/8346rF0t9Gw9MIvCFTcY6EF0rJg6+GJVbwIXiJ1+1qfHccu9y8pR8QvQs9Dsx3ekBGt5BVbrsum4Guc53vW0F1aSt62ULgzg+27PWu1PE6BMY1kiGUziowx3G8VLdDzHHDxos9iImwdTvd90VeP6WyNzRcYULGi4iyvxVXi/tGbzg/UZfMUtfebdWQreKb0TH3ZsEAyrdi4OdPTAmPyPwK4Njn50JIAeL0vC+OBdHDQ9Bs3XDObSdht17/yv0lvoIRnkqzUDT3HmYU5usoFJyRT45JYEJbjM49YsJm7LsQU8Xr7vJ+vdQnxstdOqMWkAI6/cFNvD1wGv9Ew/JrEzaPJ8MU73eRCOw5n65ZllBbggNqDUWYOYGTfamiwfhZ1q2bn2WxZQQi+K/PRKH9S13zMZ3D4L7Ay7ApyXS/HjMl0qfFchHhhTu+DNk44OtVYUyXYz9NhRqS3l1wPMonxlPnkTyF9PssY0OqQrqoQu8XVg+oXOUG5mCvCP8gu/mSrHnqMBlFcKvSg9d0pheh8dMlzD35/7sYrVhpNih7hG4MOJNIagrDH4w5mz33N1HbUzBfRqbtLB5qMat3LDChaXDzy73o5gSHeyklOcAu1dFQQmch2wWAqlc3gM4ZuO/kx/0ym8Z/0x0yxpHbXUXBZ8wzd4dODWl3XDPtgv+e1c9uoYZJy842vcREWGO5dab47TcSTr8zpxg1dUqP/Jsr8bwJTt3B//ez6IXmWftHeO9ePTktsO/0mQgPQ7OvS5SxsS9fW3RMgv4+OSlGBN+2bUz8zRvVFNhxWDaDUdq04kLLTdWokdx6f1RyNTSD1gKPv454geCddIA4eubXBYlHxK57TQW7jwN/zMcetwlBhcjnLspqHZd7pn9TU68JXJPXDzXgYTA8HtPIfI4Nmzt1BXYBH7LM4eHeNZgFPf9m7L78wD5duBiQ7pMyBBMfbTLGMnhGmXaG26WAl0WdlAzZo+kFNcNmKK7QY/9hnlvzCOuaOC8fHlzXBpNwtbCIUEKg/DLz0PIYLsx/ErVGcaMLsuGesbjgNTYpj6to1z7XdnT+xRDxbN7pdG16gCY2CztnLbW7USN12/LeR0uQO438zyfm3pwTYCt60XIxGbzPuQN2AZG4+8uhVVMorTLnfUOVTH4ewdeNI7QILKzDHaglAPkp0E2mKau/GsWI2GL9830MzJMjbgmMb3/i+5kpKn4Eaoq+hLrdf4QnLlZJgHEVaM2GbfebWgIs3zgMeVULSVKooP6SKD2tBn2ZH9MzDzKFnruDENLy0wyrcLk/HJmcMBa+JUYBS4rLifYxTzy8+zCoYOIU2T/Yc004YPxvX+7rk6i1z9P/xC9YkQdMXgb6f4FLKxE5MuEBswRXbWyqO/Flid3u027A2AZj3bOT2dXjAI/0p3Cu6Dk8KK148p0WHzouifRrUlsNOta1KYisDFFk/9Cp5hjMx7y6G3se46RhcO7d7g7x+TA9+H1r4h5dIwf+HiH3DXVjvivrH/Inm2/uOh9SF52E7OTLIHdhuJu0ucocOXx/ee8CEj4fPBYVZRVwp0+ao+DupYgZYlR45MYNKsyhZpYHlHR7l3bctuWROgbxYd9evxd9TgztvNtmcNmmZUr+4xygHBG8GiGl8SoKCobT1Jrh3rn6hpxOrNbMxLxuKw8Bgk+UVPyURlwStLXnkSXyqWZicyRtwsxpO/3Qs2H2wBcdGapyHmq/CRli/e4j2Ayq8D3jnyjuDduldbbr8dQO+P03f55aaBzH//ebdwDhhTHS+/OzGMRD1nmcacDX+NOJQ/WTgD9tGmZerJ3bDS5t6i1pSBvmtyvvo5E5DWE71PVWgAsiqO3t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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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\"},\"shape\":[1000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"z_score\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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fa-info-circle\"],[\"tagName\",\"i\"],[\"color\",\"white\"]]}]]}]}]},{\"type\":\"model\",\"name\":\"Notification\",\"properties\":[{\"name\":\"background\",\"kind\":\"Any\",\"default\":null},{\"name\":\"duration\",\"kind\":\"Any\",\"default\":3000},{\"name\":\"icon\",\"kind\":\"Any\",\"default\":null},{\"name\":\"message\",\"kind\":\"Any\",\"default\":\"\"},{\"name\":\"notification_type\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_rendered\",\"kind\":\"Any\",\"default\":false},{\"name\":\"_destroyed\",\"kind\":\"Any\",\"default\":false}]},{\"type\":\"model\",\"name\":\"TemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"BootstrapTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"TemplateEditor1\",\"properties\":[{\"name\":\"layout\",\"kind\":\"Any\",\"default\":[]}]},{\"type\":\"model\",\"name\":\"MaterialTemplateActions1\",\"properties\":[{\"name\":\"open_modal\",\"kind\":\"Any\",\"default\":0},{\"name\":\"close_modal\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"request_value1\",\"properties\":[{\"name\":\"fill\",\"kind\":\"Any\",\"default\":\"none\"},{\"name\":\"_synced\",\"kind\":\"Any\",\"default\":null},{\"name\":\"_request_sync\",\"kind\":\"Any\",\"default\":0}]},{\"type\":\"model\",\"name\":\"holoviews.plotting.bokeh.raster.HoverModel\",\"properties\":[{\"name\":\"xy\",\"kind\":\"Any\",\"default\":null},{\"name\":\"data\",\"kind\":\"Any\",\"default\":null}]}]}};\n",
" const render_items = [{\"docid\":\"9bfd3e69-9772-4853-ad95-3303ef5c2806\",\"roots\":{\"bfffe3f0-a76b-40c8-a93d-a5336d55de64\":\"d2aa959e-0fe8-4ac8-ada2-dfb4f513e698\"},\"root_ids\":[\"bfffe3f0-a76b-40c8-a93d-a5336d55de64\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "bfffe3f0-a76b-40c8-a93d-a5336d55de64"
}
},
"output_type": "display_data"
}
],
"source": [
"points = hv.Points(\n",
" data=df_ic.to_dict(),\n",
" kdims=[\"shrinkage\", (\"z_score\", \"z-score\")],\n",
" vdims=[(\"parameter\", \"param\"), \"warning_code\"],\n",
").groupby(\n",
" \"parameter\"\n",
").opts(\n",
" color=\"warning_code\",\n",
" frame_height=125,\n",
" frame_width=125,\n",
" size=2,\n",
" tools=[\"hover\"],\n",
").layout(\n",
")\n",
"\n",
"# Show plot disabling logging to avoid Bokeh warnings\n",
"with bebi103.hmc.disable_logging(): \n",
" bokeh.io.show(hv.render(points))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The shrinkage and z-scores are good for all parameters (close to one and between –5 and 5, respectively), but the shrinkage is poor for the hyperparameters. This does not appear to be dependent on MCMC diagnostic issues. Rather, this tells us that with the size of data sets we are considering, we cannot learn much about the hyperparameters.\n",
"\n",
"Finally, as suggested by Talts, et al., we can make an SBC rank ECDF plot using the `bebi103.viz.sbc_rank_ecdf()`."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
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\"},\"shape\":[8002],\"dtype\":\"float64\",\"order\":\"little\"}],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"bfa078d4-6828-46ea-9bc2-59568d2c5a03\",\"roots\":{\"0a84c06c-45bd-41ba-81ac-3761aa1b2f55\":\"b0911f10-228b-4bb9-826e-6a45e48c2350\"},\"root_ids\":[\"0a84c06c-45bd-41ba-81ac-3761aa1b2f55\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "0a84c06c-45bd-41ba-81ac-3761aa1b2f55"
}
},
"output_type": "display_data"
}
],
"source": [
"p = bebi103.viz.sbc_rank_ecdf(\n",
" df_ic, show_legend=True, marker_kwargs={\"size\": 2}, \n",
")\n",
"p.legend.spacing = 0\n",
"p.legend.label_text_font_size = '8pt'\n",
"\n",
"bokeh.io.show(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ECDF difference of the rank statistic falling within the theoretical 99-percentile envelope is indicative of good calibration of the sampler and lack of bias. The parameter `sigma[1]` has a low-biased rank statistic, suggesting that the samples of `sigma[1]` will tend to be biased toward larger values."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Running inferential calibration from the command line\n",
"\n",
"Inferential calibration may also be run from the command line. In order to do that, the user must specify a `.toml` file with specifications for the inferential calibration run. Below are contents of an example file. To run inferential calibration, enter the following in the command line.\n",
"\n",
" infcal path_to_specification.toml\n",
"\n",
"Here are contents of an example specification file.\n",
"\n",
"```toml\n",
"# ============================================================\n",
"# Stan files\n",
"# ============================================================\n",
"prior_predictive_stan_file = \"sample_model_prior_predictive.stan\"\n",
"posterior_stan_file = \"sample_model_noncentered.stan\"\n",
"\n",
"\n",
"# ============================================================\n",
"# Data contents for prior predictive\n",
"# ============================================================\n",
"prior_predictive_model_data.N = 63\n",
"prior_predictive_model_data.J_1 = 3\n",
"prior_predictive_model_data.index_1 = [\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3\n",
"]\n",
"\n",
"\n",
"# ============================================================\n",
"# Data contents for posterior predictive\n",
"# ============================================================\n",
"posterior_model_data.N = 63\n",
"posterior_model_data.J_1 = 3\n",
"posterior_model_data.index_1 = [\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3\n",
"]\n",
"\n",
"\n",
"# ============================================================\n",
"# Parameters of interest\n",
"# ============================================================\n",
"var_names = [\"rho\", \"sigma\", \"tau\", \"theta\"]\n",
"ignored_var_names = [\"*_prc\", \"log_lik\"]\n",
"\n",
"\n",
"# ============================================================\n",
"# Which variables are \"measured\"\n",
"# ============================================================\n",
"measured_data = [\"x\", \"y\"]\n",
"\n",
"\n",
"# ============================================================\n",
"# Data types of measured variables\n",
"# ============================================================\n",
"measured_data_dtypes.x = \"float\"\n",
"measured_data_dtypes.y = \"float\"\n",
"\n",
"\n",
"# ============================================================\n",
"# Inferential calibration settings\n",
"# ============================================================\n",
"N = 1000\n",
"cores = 8\n",
"n_prior_draws_for_sd = 1000\n",
"samples_dir = \"inferential_calibration_samples\"\n",
"remove_sample_files = true\n",
"progress_bar = true\n",
"output_csv = \"inferential_calibration_results.csv\"\n",
"overwrite = true\n",
"\n",
"\n",
"# ============================================================\n",
"# Sampling settings\n",
"# ============================================================\n",
"sampling_kwargs.chains = 4\n",
"sampling_kwargs.iter_sampling = 1000\n",
"sampling_kwargs.iter_warmup = 2000\n",
"sampling_kwargs.adapt_delta = 0.95\n",
"sampling_kwargs.max_treedepth = 10\n",
"sampling_kwargs.thin = 1\n",
"\n",
"\n",
"# ============================================================\n",
"# Diagnostic kwargs\n",
"# ============================================================\n",
"diagnostic_check_kwargs.adapt_target = 0.801\n",
"diagnostic_check_kwargs.adapt_target_fraction = 0.9\n",
"diagnostic_check_kwargs.efmi_rule_of_thumb = 0.2\n",
"diagnostic_check_kwargs.max_treedepth = 10\n",
"diagnostic_check_kwargs.min_ess_hat_per_chain = 100\n",
"diagnostic_check_kwargs.xi_hat_threshold = 0.25\n",
"```"
]
},
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"metadata": {},
"source": [
"## Using stanfunctions\n",
"\n",
"The bebi103 package includes functions that can be included in the `functions` block of a Stan program. As an example, let us analyze data that are inverse Gaussian distributed, a distribution that is not natively included in Stan. The bebi103 package has functionality for sampling out of this distribution and also for using it in models.\n",
"\n",
"The generative model we will use is as follows\n",
"\n",
"\\begin{align}\n",
"\\log_{10}\\mu \\sim \\text{Norm}(-2, 2),\\\\[1em]\n",
"\\log_{10}\\lambda \\sim \\text{Norm}(-2, 2),\\\\[1em]\n",
"y_i \\sim \\text{InvGaussian}(\\mu, \\lambda)\\;\\forall i.\n",
"\\end{align}\n",
"\n",
"First, we'll generate the dat for some contrived parameters."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"rng = np.random.default_rng(seed=3252)\n",
"\n",
"# Parameters\n",
"mu = 6.5\n",
"lam = 11.25\n",
"\n",
"# Generated data\n",
"N = 300\n",
"y = rng.wald(mu, lam, size=N)"
]
},
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"cell_type": "markdown",
"metadata": {},
"source": [
"For our Stan model, we include the `inv_gaussian.stanfunctions`, which will be available when we build the model using `cmdstanpy` with the appropriate keyword argument for the `include` path for the Stan compiler, as we will do in a moment. The Stan code is below.\n",
"\n",
"```stan\n",
"functions {\n",
" #include inv_gaussian.stanfunctions\n",
"}\n",
"\n",
"\n",
"data {\n",
" int N;\n",
" array[N] real y;\n",
"}\n",
"\n",
"\n",
"parameters {\n",
" real log10_mu;\n",
" real log10_lambda;\n",
"}\n",
"\n",
"\n",
"transformed parameters {\n",
" real mu = 10^log10_mu;\n",
" real lambda = 10^log10_lambda;\n",
"}\n",
"\n",
"model {\n",
" log10_mu ~ normal(-2, 2);\n",
" log10_lambda ~ normal(-2, 2);\n",
" y ~ inv_gaussian(mu, lambda);\n",
"}\n",
"\n",
"\n",
"generated quantities {\n",
" array[N] real y_prc;\n",
" for (i in 1:N) {\n",
" y_prc[i] = inv_gaussian_rng(mu, lambda);\n",
" }\n",
"}\n",
"```\n",
"\n",
"Now, to compile the model, we need to tell the Stan compiler where to find the inverse Gaussian Stan functions. We do that with the `stanc_options` keyword argument below."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:45:23 - cmdstanpy - INFO - compiling stan file /Users/bois/Dropbox/git/bebi103/doc/user_guide/inv_gauss.stan to exe file /Users/bois/Dropbox/git/bebi103/doc/user_guide/inv_gauss\n",
"20:45:29 - cmdstanpy - INFO - compiled model executable: /Users/bois/Dropbox/git/bebi103/doc/user_guide/inv_gauss\n"
]
}
],
"source": [
"sm = cmdstanpy.CmdStanModel(\n",
" stan_file=\"inv_gauss.stan\", \n",
" stanc_options={\"include-paths\": bebi103.hmc.include_path()}\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's take some samples and see how we captured the parameters we used to generate the data."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
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" \n",
"All HMC diagnostics are consistent with accurate Markov chain Monte\n",
"Carlo.\n",
"\n",
"All expectands checked appear to be behaving well enough for reliable\n",
"Markov chain Monte Carlo estimation.\n"
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\"},\"shape\":[4000],\"dtype\":\"float64\",\"order\":\"little\"}],[\"lambda\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"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" const render_items = [{\"docid\":\"9207d708-70cb-419b-a680-1aecca01caf4\",\"roots\":{\"f70495c6-0e28-4500-902b-da6c38925915\":\"be46eb1a-98ed-45d3-a055-c555024c0b4b\"},\"root_ids\":[\"f70495c6-0e28-4500-902b-da6c38925915\"]}];\n",
" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
" if (root.Bokeh !== undefined) {\n",
" embed_document(root);\n",
" } else {\n",
" let attempts = 0;\n",
" const timer = setInterval(function(root) {\n",
" if (root.Bokeh !== undefined) {\n",
" clearInterval(timer);\n",
" embed_document(root);\n",
" } else {\n",
" attempts++;\n",
" if (attempts > 100) {\n",
" clearInterval(timer);\n",
" console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
" }\n",
" }\n",
" }, 10, root)\n",
" }\n",
"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
"metadata": {
"application/vnd.bokehjs_exec.v0+json": {
"id": "f70495c6-0e28-4500-902b-da6c38925915"
}
},
"output_type": "display_data"
}
],
"source": [
"# Perform sampling\n",
"with bebi103.hmc.disable_logging():\n",
" samples = sm.sample(data=dict(y=y, N=N))\n",
"\n",
"# Check diagnostics\n",
"bebi103.hmc.check_all_diagnostics(samples)\n",
"\n",
"# Make a corner plot\n",
"bokeh.io.show(bebi103.viz.corner(samples, parameters=[\"mu\", \"lambda\"]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The parameter $\\mu$ to generate the data was 6.5 and $\\lambda$ was 11.25, which are well within the credible region. We can also check to see how the model predicts the measurements using the `predictive_ecdf()` function of the `bebi103.viz` module."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"(function(root) {\n",
" function embed_document(root) {\n",
" const docs_json = {\"aba5dad1-364e-42d8-b0cc-a2a66655f2f5\":{\"version\":\"3.9.1\",\"title\":\"Bokeh 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" void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
" }\n",
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"})(window);"
],
"application/vnd.bokehjs_exec.v0+json": ""
},
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"id": "9b829ee5-b21d-4542-a079-8dd2edf45cb3"
}
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"output_type": "display_data"
}
],
"source": [
"# Put data in right structure for predictive_ecdf()\n",
"y_prc = np.concatenate(bebi103.hmc.extract_variable(samples, 'y_prc'))\n",
"\n",
"bokeh.io.show(bebi103.viz.predictive_ecdf(y_prc, data=y, y_axis_label=\"y\"))"
]
},
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"source": [
"In addition to functions enabling use of an inverse Gaussian distribution, the bebi103 package has Stan functions useful for working with Gaussian processes when the x-variables are one-dimensional. The contents of the `gp_one_dimensional.stanfunctions` file are below.\n",
"\n",
"```stan\n",
"/*\n",
" These functions are for GPs with univariate x. The functions \n",
" gp_posterior_mstar and gp_posterior_sigmastar_cholesky are general.\n",
" The remaining functions are useful for computing derivatives of\n",
" GPs that use exponentiated quadratic (a.k.a. squared exponential or \n",
" radial basis function), Matern 3/2, and Matern 5/2 kernels.\n",
" */\n",
"\n",
"/**\n",
" * Return posterior m* for a model with a Normal likelihood and GP\n",
" * prior for a given Cholesky decomposition, Ly, of the matrix Ky, \n",
" * and K*.\n",
" *\n",
" * @param y y-values of data\n",
" * @param Ly Cholesky decomposition of the matrix Ky\n",
" * @param Kstar Matrix K*\n",
" * @return Posterior m*\n",
" */\n",
"vector gp_posterior_mstar(vector y, matrix Ly, matrix Kstar) {\n",
" // Get sizes\n",
" int N = size(y);\n",
" int Nstar = cols(Kstar);\n",
"\n",
" // Compute xi = inv(Ky) . y, which is solution xi to Ky . xi = y.\n",
" vector[N] z = mdivide_left_tri_low(Ly, y);\n",
" vector[N] xi = mdivide_right_tri_low(z', Ly)';\n",
"\n",
" // Compute mean vector mstar\n",
" vector[Nstar] mstar = Kstar' * xi;\n",
"\n",
" return mstar;\n",
"}\n",
"\n",
"\n",
"/** \n",
" * Return Cholesky decomposition of posterior Σ* for a model with a \n",
" * Normal likelihood and GP prior.\n",
" *\n",
" * @param y y-values of data\n",
" * @param Ly Cholesky decomposition of the matrix Ky\n",
" * @param Kstar Matrix K*\n",
" * @param Kstarstar Matrix K**\n",
" * @param delta Small value to add to the diagonal of Σ* to ensure\n",
" * numerical positive definiteness\n",
" * @return Cholesky decomposition of posterior Σ*\n",
" */\n",
"matrix gp_posterior_sigmastar_cholesky(\n",
" vector y, \n",
" matrix Ly, \n",
" matrix Kstar, \n",
" matrix Kstarstar,\n",
" real delta) {\n",
"\n",
" // Get sizes\n",
" int N = size(y);\n",
" int Nstar = cols(Kstar);\n",
"\n",
" // Compute Xi = inv(Ky) . Kstar, which is the solution Xi to Ky . Xi = Kstar.\n",
" matrix[N, Nstar] Z = mdivide_left_tri_low(Ly, Kstar);\n",
" matrix[N, Nstar] Xi = mdivide_right_tri_low(Z', Ly)';\n",
"\n",
" // Compute Sigma_star (plus a small number of the diagonal to ensure pos. def.)\n",
" matrix[Nstar, Nstar] Sigmastar = Kstarstar - Kstar' * Xi \n",
" + diag_matrix(rep_vector(delta, Nstar));\n",
"\n",
" // Compute and return Cholesky decomposition\n",
" matrix[Nstar, Nstar] Lstar = cholesky_decompose(Sigmastar);\n",
"\n",
" return Lstar;\n",
"}\n",
"\n",
"\n",
" /**\n",
" * Return exponentiated quadratic (a.k.a. squared exponential, or SE) kernel \n",
" * differentiated by the first variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of SE kernel\n",
" * @param rho ρ hyperparameter of SE kernel\n",
" * @return Partial first derivative of SE kernel with respect to the\n",
" * first variable\n",
" */\n",
" real d1_exp_quad_kernel(real x1, real x2, real alpha, real rho) {\n",
" real x_diff = x1 - x2;\n",
"\n",
" return -(alpha / rho)^2 * x_diff * exp(-x_diff^2 / 2.0 / rho^2);\n",
" }\n",
"\n",
"\n",
"/**\n",
" * Return mixed second derivative of exponentiated quadratic \n",
" * (a.k.a. squared exponential, or SE) kernel\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of SE kernel\n",
" * @param rho ρ hyperparameter of SE kernel\n",
" * @return Mixed second derivative of squared exponential (SE) kernel\n",
" */\n",
"real d1_d2_exp_quad_kernel(real x1, real x2, real alpha, real rho) {\n",
" real rho2 = rho^2;\n",
" real term1 = x1 - x2 + rho;\n",
" real term2 = x2 - x1 + rho;\n",
"\n",
" return (alpha / rho2)^2 * term1 * term2 * exp(-(x1 - x2)^2 / 2.0 / rho2);\n",
"}\n",
"\n",
" /**\n",
" * Return Matern 3/2 kernel differentiated by the first\n",
" * variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern kernel\n",
" * @param rho ρ hyperparameter of Matern kernel\n",
" * @return Partial first derivative of Matern 3/2 kernel with respect\n",
" * to the first variable\n",
" */\n",
" real d1_matern32_kernel(real x1, real x2, real alpha, real rho) {\n",
" real x_diff = x1 - x2;\n",
"\n",
" return -3.0 * (alpha / rho)^2 * x_diff * exp(-sqrt(3.0 * x_diff^2 / rho^2));\n",
" }\n",
"\n",
"\n",
" /**\n",
" * Return mixed second derivative of Matern 3/2 kernel\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern kernel\n",
" * @param rho ρ hyperparameter of Matern kernel\n",
" * @return Mixed second derivative of Matern 3/2 kernel\n",
" */\n",
"real d1_d2_matern32_kernel(real x1, real x2, real alpha, real rho) {\n",
" real exp_arg = sqrt(3.0 * ((x1 - x2) / rho)^2);\n",
"\n",
" return 3.0 * (alpha / rho)^2 * (1.0 - exp_arg) * exp(-exp_arg);\n",
"}\n",
"\n",
"\n",
"/**\n",
" * Return Matern 5/2 kernel differentiated by the first\n",
" * variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern kernel\n",
" * @param rho ρ hyperparameter of Matern kernel\n",
" * @return Partial first derivative of Matern 5/2 kernel with respect\n",
" * to the first variable\n",
" */\n",
" real d1_matern52_kernel(real x1, real x2, real alpha, real rho) {\n",
" real x_diff = x1 - x2;\n",
" real exp_arg = sqrt(5 * (x_diff / rho)^2);\n",
"\n",
" return -5.0 * (alpha / rho)^2 / 3.0 * x_diff * (1.0 + exp_arg) * exp(-exp_arg);\n",
" }\n",
"\n",
"\n",
" /**\n",
" * Return mixed second derivative of Matern 5/2 kernel\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern kernel\n",
" * @param rho ρ hyperparameter of Matern kernel\n",
" * @return Mixed second derivative of Matern 5/2 kernel\n",
" */\n",
"real d1_d2_matern52_kernel(real x1, real x2, real alpha, real rho) {\n",
" real x_diff = x1 - x2;\n",
" real x_diff2 = x_diff^2;\n",
" real rho2 = rho^2;\n",
" real exp_arg = sqrt(5 * x_diff^2 / rho2);\n",
"\n",
" return 5.0 * (alpha / rho2)^2 / 3.0 * ((1.0 + exp_arg) * rho2 - 5.0 * x_diff2) * exp(-exp_arg);\n",
"}\n",
"\n",
"\n",
"/**\n",
" * Return first derivative of the covariance matrix of the exponentiated quadratic\n",
" * (a.k.a. squared exponential, or SE) kernel with respect to the first variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of SE kernel\n",
" * @param rho ρ hyperparameter of SE kernel\n",
" * @return First derivative of the covariance matrix of the squared\n",
" * exponential kernel with respect to the first variable.\n",
" */\n",
"matrix d1_cov_exp_quad(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_K;\n",
"\n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_K[i, j] = d1_exp_quad_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
"\n",
" return d1_K;\n",
"}\n",
"\n",
"\n",
"/**\n",
" * Return mixed second derivative of the covariance matrix of the \n",
" * exponentiated quadratic (a.k.a. squared exponential, or SE) kernel.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of SE kernel\n",
" * @param rho ρ hyperparameter of SE kernel\n",
" * @return Mixed second derivative of the covariance matrix of the \n",
" * squared exponential kernel.\n",
" */\n",
"matrix d1_d2_cov_exp_quad(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_d2_K;\n",
"\n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_d2_K[i, j] = d1_d2_exp_quad_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
"\n",
" return d1_d2_K;\n",
"}\n",
"\n",
"\n",
"/**\n",
" * Return first derivative of the covariance matrix of the Matern\n",
" * kernel with nu = 3/2 with respect to the first variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern 3/2 kernel\n",
" * @param rho ρ hyperparameter of Matern 3/2 kernel\n",
" * @return First derivative of the covariance matrix of the Matern 3/2\n",
" * kernel with respect to the first variable.\n",
" */\n",
" matrix d1_cov_matern32(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_K;\n",
" \n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_K[i, j] = d1_matern32_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
" \n",
" return d1_K;\n",
" }\n",
"\n",
"\n",
"/**\n",
" * Return mixed second derivative of the covariance matrix of the Matern\n",
" * kernel with nu = 3/2.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern 3/2 kernel\n",
" * @param rho ρ hyperparameter of Matern 3/2 kernel\n",
" * @return Mixed second derivative of the covariance matrix of the \n",
" * Matern 3/2 kernel.\n",
" */\n",
" matrix d1_d2_cov_matern32(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_d2_K;\n",
" \n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_d2_K[i, j] = d1_d2_matern32_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
" \n",
" return d1_d2_K;\n",
" }\n",
"\n",
"\n",
"/**\n",
" * Return first derivative of the covariance matrix of the Matern\n",
" * kernel with nu = 5/2 with respect to the first variable.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern 5/2 kernel\n",
" * @param rho ρ hyperparameter of Matern 5/2 kernel\n",
" * @return First derivative of the covariance matrix of the Matern 5/2\n",
" * kernel with respect to the first variable.\n",
" */\n",
" matrix d1_cov_matern52(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_K;\n",
" \n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_K[i, j] = d1_matern52_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
" \n",
" return d1_K;\n",
" }\n",
"\n",
"\n",
"/**\n",
" * Return mixed second derivative of the covariance matrix of the Matern\n",
" * kernel with nu = 5/2.\n",
" *\n",
" * @param x1 Value of first variable\n",
" * @param x2 Value of second variable\n",
" * @param alpha α hyperparameter of Matern 5/2 kernel\n",
" * @param rho ρ hyperparameter of Matern 5/2 kernel\n",
" * @return Mixed second derivative of the covariance matrix of the \n",
" * Matern 5/2 kernel.\n",
" */\n",
" matrix d1_d2_cov_matern52(array[] real x1, array[] real x2, real alpha, real rho) {\n",
" int m = size(x1);\n",
" int n = size(x2);\n",
" matrix[m, n] d1_d2_K;\n",
" \n",
" for (i in 1:m) {\n",
" for (j in 1:n) {\n",
" d1_d2_K[i, j] = d1_d2_matern52_kernel(x1[i], x2[j], alpha, rho);\n",
" }\n",
" }\n",
" \n",
" return d1_d2_K;\n",
" }\n",
" \n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cleaning up\n",
"\n",
"CmdStanPy leaves `.hpp`, `,o`, `.d`, executable files, and sampling output. To conveniently remove them, use `bebi103.hmc.clean_cmdstanpy()`."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"bebi103.hmc.clean_cmdstan()"
]
}
],
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