{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC v5.15.1+68.gc0b060b98.dirty\n" ] } ], "source": [ "import arviz as az\n", "import numpy as np\n", "\n", "import pymc as pm\n", "\n", "print(f\"Running on PyMC v{pm.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "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": { "application/vnd.jupyter.widget-view+json": { "model_id": "e4b2a561cda3414582abfc04566354b3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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     "metadata": {},
     "output_type": "display_data"
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\n" ], "text/plain": [ "\n" ] }, "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 6 seconds.\n" ] } ], "source": [ "with pm.Model() as pooled:\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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", 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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": { "application/vnd.jupyter.widget-view+json": { "model_id": "cc8f825adf0245648b219def7e283c9b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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     },
     "metadata": {},
     "output_type": "display_data"
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       "
\n" ], "text/plain": [ "\n" ] }, "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 24 seconds.\n" ] } ], "source": [ "with pm.Model() as hierarchical:\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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", 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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.\n", "\n", "### Model log-likelihood\n", "\n", "In order to compute LOO and WAIC, ArviZ needs access to the model elemwise loglikelihood for every posterior sample. We can add it via {func}`~pymc.compute_log_likelihood`. Alternatively we can pass `idata_kwargs={\"log_likelihood\": True}` to {func}`~pymc.sample` to have it computed automatically at the end of sampling." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bb4ee7e2455140be83266344a5a74d3a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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rankelpd_loop_looelpd_diffweightsedsewarningscale
pooled0-30.5781160.6866450.0000001.01.1058910.000000Falselog
hierarchical1-30.8200051.1670100.2418890.01.0809540.231679Falselog
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" ], "text/plain": [ " rank elpd_loo p_loo elpd_diff weight se \\\n", "pooled 0 -30.578116 0.686645 0.000000 1.0 1.105891 \n", "hierarchical 1 -30.820005 1.167010 0.241889 0.0 1.080954 \n", "\n", " dse warning scale \n", "pooled 0.000000 False log \n", "hierarchical 0.231679 False log " ] }, "execution_count": 13, "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": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "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 error bar 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": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Jun 25 2024\n", "\n", "Python implementation: CPython\n", "Python version : 3.11.8\n", "IPython version : 8.22.2\n", "\n", "xarray : 2024.2.0\n", "pytensor: 2.20.0+3.g66439d283.dirty\n", "\n", "matplotlib: 3.8.3\n", "numpy : 1.26.4\n", "pymc : 5.15.0+1.g58927d608\n", "arviz : 0.17.1\n", "\n", "Watermark: 2.4.3\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "\n", "%watermark -n -u -v -iv -w -p xarray,pytensor" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "interpreter": { "hash": "baf205d70af30bf8b721a304f5a44beb31bf8af014f6b7340f1a7ae004926653" }, "kernelspec": { "display_name": "pymc", "language": "python", "name": "pymc" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }