{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING (aesara.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Runing on PyMC v4.0.0b2\n" ] } ], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc as pm\n", "\n", "print(f\"Runing on PyMC v{pm.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%load_ext watermark\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(model_comparison)=\n", "# Model comparison\n", "\n", "To demonstrate the use of model comparison criteria in PyMC, we implement the **8 schools** example from Section 5.5 of Gelman et al (2003), which attempts to infer the effects of coaching on SAT scores of students from 8 schools. Below, we fit a **pooled model**, which assumes a single fixed effect across all schools, and a **hierarchical model** that allows for a random effect that partially pools the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data include the observed treatment effects (`y`) and associated standard deviations (`sigma`) in the 8 schools." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "y = np.array([28, 8, -3, 7, -1, 1, 18, 12])\n", "sigma = np.array([15, 10, 16, 11, 9, 11, 10, 18])\n", "J = len(y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pooled model" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [mu]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [12000/12000 00:03<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 4 seconds.\n" ] } ], "source": [ "with pm.Model() as pooled:\n", "\n", " # Latent pooled effect size\n", " mu = pm.Normal(\"mu\", 0, sigma=1e6)\n", "\n", " obs = pm.Normal(\"obs\", mu, sigma=sigma, observed=y)\n", "\n", " trace_p = pm.sample(2000)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_trace(trace_p);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hierarchical model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [eta, mu, tau]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [12000/12000 00:07<00:00 Sampling 4 chains, 1 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 8 seconds.\n", "There was 1 divergence after tuning. Increase `target_accept` or reparameterize.\n" ] } ], "source": [ "with pm.Model() as hierarchical:\n", "\n", " eta = pm.Normal(\"eta\", 0, 1, shape=J)\n", " # Hierarchical mean and SD\n", " mu = pm.Normal(\"mu\", 0, sigma=10)\n", " tau = pm.HalfNormal(\"tau\", 10)\n", "\n", " # Non-centered parameterization of random effect\n", " theta = pm.Deterministic(\"theta\", mu + tau * eta)\n", "\n", " obs = pm.Normal(\"obs\", theta, sigma=sigma, observed=y)\n", "\n", " trace_h = pm.sample(2000, target_accept=0.9)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_trace(trace_h, var_names=\"mu\");" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_forest(trace_h, var_names=\"theta\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Leave-one-out Cross-validation (LOO)\n", "\n", "LOO cross-validation is an estimate of the out-of-sample predictive fit. In cross-validation, the data are repeatedly partitioned into training and holdout sets, iteratively fitting the model with the former and evaluating the fit with the holdout data. Vehtari et al. (2016) introduced an efficient computation of LOO from MCMC samples (without the need for re-fitting the data). This approximation is based on importance sampling. The importance weights are stabilized using a method known as Pareto-smoothed importance sampling (PSIS).\n", "\n", "### Widely-applicable Information Criterion (WAIC)\n", "\n", "WAIC (Watanabe 2010) is a fully Bayesian criterion for estimating out-of-sample expectation, using the computed log pointwise posterior predictive density (LPPD) and correcting for the effective number of parameters to adjust for overfitting.\n", "\n", "By default ArviZ uses LOO, but WAIC is also available." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-30.559179747247697" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pooled_loo = az.loo(trace_p, pooled)\n", "\n", "pooled_loo.loo" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-30.76863810048652" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hierarchical_loo = az.loo(trace_h, hierarchical)\n", "\n", "hierarchical_loo.loo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ArviZ includes two convenience functions to help compare LOO for different models. The first of these functions is `compare`, which computes LOO (or WAIC) from a set of traces and models and returns a DataFrame." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rankloop_lood_looweightsedsewarningloo_scale
pooled0-30.5591800.6739710.0000001.01.1023630.000000Falselog
hierarchical1-30.7686381.1129230.2094580.01.0677310.235049Falselog
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" ], "text/plain": [ " rank loo p_loo d_loo weight se dse \\\n", "pooled 0 -30.559180 0.673971 0.000000 1.0 1.102363 0.000000 \n", "hierarchical 1 -30.768638 1.112923 0.209458 0.0 1.067731 0.235049 \n", "\n", " warning loo_scale \n", "pooled False log \n", "hierarchical False log " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_comp_loo = az.compare({\"hierarchical\": trace_h, \"pooled\": trace_p})\n", "df_comp_loo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have many columns, so let's check out their meaning one by one:\n", "\n", "\n", "0. The index is the names of the models taken from the keys of the dictionary passed to `compare(.)`.\n", "\n", "1. **rank**, the ranking of the models starting from 0 (best model) to the number of models.\n", "\n", "2. **loo**, the values of LOO (or WAIC). The DataFrame is always sorted from best LOO/WAIC to worst. \n", "\n", "3. **p_loo**, the value of the penalization term. We can roughly think of this value as the estimated effective number of parameters (but do not take that too seriously).\n", "\n", "4. **d_loo**, the relative difference between the value of LOO/WAIC for the top-ranked model and the value of LOO/WAIC for each model. For this reason we will always get a value of 0 for the first model.\n", "\n", "5. **weight**, the weights assigned to each model. These weights can be loosely interpreted as the probability of each model being true (among the compared models) given the data.\n", "\n", "6. **se**, the standard error for the LOO/WAIC computations. The standard error can be useful to assess the uncertainty of the LOO/WAIC estimates. By default these errors are computed using stacking.\n", "\n", "7. **dse**, the standard errors of the difference between two values of LOO/WAIC. The same way that we can compute the standard error for each value of LOO/WAIC, we can compute the standard error of the differences between two values of LOO/WAIC. Notice that both quantities are not necessarily the same, the reason is that the uncertainty about LOO/WAIC is correlated between models. This quantity is always 0 for the top-ranked model.\n", "\n", "8. **warning**, If `True` the computation of LOO/WAIC may not be reliable.\n", "\n", "9. **loo_scale**, the scale of the reported values. The default is the log scale as previously mentioned. Other options are deviance -- this is the log-score multiplied by -2 (this reverts the order: a lower LOO/WAIC will be better) -- and negative-log -- this is the log-score multiplied by -1 (as with the deviance scale, a lower value is better)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second convenience function takes the output of `compare` and produces a summary plot in the style of the one used in the book [Statistical Rethinking](http://xcelab.net/rm/statistical-rethinking/) by Richard McElreath (check also [this port](https://github.com/aloctavodia/Statistical-Rethinking-with-Python-and-PyMC3) of the examples in the book to PyMC)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_compare(df_comp_loo, insample_dev=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The empty circle represents the values of LOO and the black error bars associated with them are the values of the standard deviation of LOO. \n", "\n", "The value of the highest LOO, i.e the best estimated model, is also indicated with a vertical dashed grey line to ease comparison with other LOO values.\n", "\n", "For all models except the top-ranked one we also get a triangle indicating the value of the difference of WAIC between that model and the top model and a grey errobar indicating the standard error of the differences between the top-ranked WAIC and WAIC for each model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpretation\n", "\n", "Though we might expect the hierarchical model to outperform a complete pooling model, there is little to choose between the models in this case, given that both models gives very similar values of the information criteria. This is more clearly appreciated when we take into account the uncertainty (in terms of standard errors) of LOO and WAIC.\n", "\n", "## Reference\n", "\n", "[Gelman, A., Hwang, J., & Vehtari, A. (2014). Understanding predictive information criteria for Bayesian models. Statistics and Computing, 24(6), 997–1016.](https://doi.org/10.1007/s11222-013-9416-2)\n", "\n", "[Vehtari, A, Gelman, A, Gabry, J. (2016). Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC. Statistics and Computing](http://link.springer.com/article/10.1007/s11222-016-9696-4)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Thu Jan 13 2022\n", "\n", "Python implementation: CPython\n", "Python version : 3.9.7\n", "IPython version : 7.29.0\n", "\n", "xarray: 0.20.2\n", "aesara: 2.3.2\n", "aeppl : 0.0.18\n", "\n", "matplotlib: 3.5.1\n", "pymc : 4.0.0b2\n", "numpy : 1.20.3\n", "arviz : 0.11.4\n", "\n", "Watermark: 2.2.0\n", "\n" ] } ], "source": [ "%watermark -n -u -v -iv -w -p xarray,aesara,aeppl" ] } ], "metadata": { "interpreter": { "hash": "baf205d70af30bf8b721a304f5a44beb31bf8af014f6b7340f1a7ae004926653" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }