diff --git a/docs/source/notebooks/posterior_predictive.ipynb b/docs/source/notebooks/posterior_predictive.ipynb index 9f88fdf8c4..6a42309c9d 100644 --- a/docs/source/notebooks/posterior_predictive.ipynb +++ b/docs/source/notebooks/posterior_predictive.ipynb @@ -6,30 +6,37 @@ "source": [ "# Posterior Predictive Checks\n", "\n", - "PPCs are a great way to validate a model. The idea is to generate data sets from the model using parameter settings from draws from the posterior. \n", + "Posterior predictive checks (PPCs) are a great way to validate a model. The idea is to generate data from the model using parameters from draws from the posterior. \n", "\n", - "Elaborating slightly one can say that - Posterior predictive checks (PPCs) analyze the degree to which data generated from the model deviate from data generated from the true distribution. So often you'll want to know if for example your posterior distribution is approximating your underlying distribution. The visualization aspect of this model evaluation method is also great for a 'sense check' or explaining your model to others and getting criticism. \n", - "\n", - "\n", - "`PyMC3` has random number support thanks to [Mark Wibrow](https://github.com/mwibrow) as implemented in [PR784](https://github.com/pymc-devs/pymc3/pull/784).\n", + "Elaborating slightly, one can say that PPCs analyze the degree to which data generated from the model deviate from data generated from the true distribution. So often you will want to know if, for example, your posterior distribution is approximating your underlying distribution. The visualization aspect of this model evaluation method is also great for a 'sense check' or explaining your model to others and getting criticism. \n", "\n", "Here we will implement a general routine to draw samples from the observed nodes of a model." ] }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running with PyMC3 version v.3.3\n" + ] + } + ], "source": [ "%matplotlib inline\n", + "from collections import defaultdict\n", + "\n", + "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pymc3 as pm\n", - "import seaborn as sns\n", - "import matplotlib.pyplot as plt\n", - "from collections import defaultdict" + "import scipy.stats as st\n", + "\n", + "plt.style.use('seaborn-darkgrid')\n", + "print('Running with PyMC3 version v.{}'.format(pm.__version__))" ] }, { @@ -41,21 +48,18 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, + "execution_count": 3, + "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using advi...\n", - "Average ELBO = -148.20: 100%|██████████| 500000/500000 [00:38<00:00, 13010.69it/s]\n", - "Finished [100%]: Average ELBO = -148.18\n", - "100%|██████████| 1/1 [00:00<00:00, 4319.57it/s]\n", - "100%|██████████| 5000/5000 [00:02<00:00, 2151.11it/s]\n" + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (2 chains in 2 jobs)\n", + "NUTS: [sd_log__, mu]\n", + "100%|██████████| 5500/5500 [00:04<00:00, 1189.84it/s]\n" ] } ], @@ -72,16 +76,14 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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QQ5g4cSJmz57t9g1hWVkZFi9ejJycHCxatAilpaUhjJQQEgy/nW/Ci+8Xormt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\nIiIi8pv/AaEckTQYCWIFAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -101,16 +103,14 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "execution_count": 5, + "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 500/500 [00:04<00:00, 111.40it/s]\n" + "100%|██████████| 500/500 [00:00<00:00, 2120.72it/s]\n" ] } ], @@ -127,10 +127,8 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { @@ -138,7 +136,7 @@ "(500, 100)" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -156,16 +154,14 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, + "execution_count": 7, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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tNpuOHz+uWbNm+b4k9sMPP+iNN95Qnz59VFRU5Le+2+1WdHR0vfuJj48JSr0I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\nTkSuQmCC\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -173,8 +169,8 @@ } ], "source": [ - "ax = plt.subplot()\n", - "sns.distplot([n.mean() for n in ppc['n']], kde=False, ax=ax)\n", + "_, ax = plt.subplots(figsize=(12, 6))\n", + "ax.hist([n.mean() for n in ppc['n']], bins=19, alpha=0.5)\n", "ax.axvline(data.mean())\n", "ax.set(title='Posterior predictive of the mean', xlabel='mean(x)', ylabel='Frequency');" ] @@ -185,14 +181,11 @@ "source": [ "## Comparison between PPC and other model evaluation methods. \n", "\n", - "An excellent introduction to this is given on [Edward](http://edwardlib.org/tutorials/ppc) and since I can't write this any better I'll just quote this:\n", - "\n", - "\"PPCs are an excellent tool for revising models, simplifying or expanding the current model as one examines how well it fits the data. They are inspired by prior checks and classical hypothesis testing, under the philosophy that models should be criticized under the frequentist perspective of large sample assessment.\n", + "An excellent introduction to this was given in the [Edward](http://edwardlib.org) documentation:\n", "\n", - "PPCs can also be applied to tasks such as hypothesis testing, model comparison, model selection, and model averaging. It’s important to note that while they can be applied as a form of Bayesian hypothesis testing, hypothesis testing is generally not recommended: binary decision making from a single test is not as common a use case as one might believe. We recommend performing many PPCs to get a holistic understanding of the model fit.\" \n", + "> PPCs are an excellent tool for revising models, simplifying or expanding the current model as one examines how well it fits the data. They are inspired by prior checks and classical hypothesis testing, under the philosophy that models should be criticized under the frequentist perspective of large sample assessment.\n", "\n", - "An important lesson to learn as someone using Probabilistic Programming is to not overfit your understanding or your criticism of models to only one metric. Model evaluation is a skill that can be honed with practice. \n", - "\n" + "> PPCs can also be applied to tasks such as hypothesis testing, model comparison, model selection, and model averaging. It’s important to note that while they can be applied as a form of Bayesian hypothesis testing, hypothesis testing is generally not recommended: binary decision making from a single test is not as common a use case as one might believe. We recommend performing many PPCs to get a holistic understanding of the model fit." ] }, { @@ -201,15 +194,13 @@ "source": [ "## Prediction\n", "\n", - "The same pattern can be used for prediction. Here we're building a logistic regression model. Note that since we're dealing the full posterior, we're also getting uncertainty in our predictions for free." + "The same pattern can be used for prediction. Here we're building a logistic regression model. Note that since we are dealing the full posterior, we are also getting uncertainty in our predictions for free." ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": true - }, + "execution_count": 8, + "metadata": {}, "outputs": [], "source": [ "# Use a theano shared variable to be able to exchange the data the model runs on\n", @@ -218,17 +209,14 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ "def invlogit(x):\n", " return np.exp(x) / (1 + np.exp(x))\n", "\n", "n = 4000\n", - "n_oos = 50\n", "coeff = 1.\n", "\n", "predictors = np.random.normal(size=n)\n", @@ -240,18 +228,16 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, + "execution_count": 10, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([0, 1, 1, ..., 1, 0, 0])" + "array([0, 1, 0, ..., 0, 0, 1])" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -262,111 +248,86 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [], "source": [ - "predictors_oos = np.random.normal(size=50)\n", - "outcomes_oos = np.random.binomial(1, invlogit(coeff * predictors_oos))" + "predictors_out_of_sample = np.random.normal(size=50)\n", + "outcomes_out_of_sample = np.random.binomial(1, invlogit(coeff * predictors_out_of_sample))" ] }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using advi...\n", - "Average ELBO = -2,454.48: 100%|██████████| 5000/5000 [00:04<00:00, 1205.88it/s]\n", - "Finished [100%]: Average ELBO = -2,434.84\n", - "100%|██████████| 1/1 [00:00<00:00, 5974.79it/s]\n", - "100%|██████████| 5000/5000 [00:06<00:00, 754.55it/s]\n" + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (2 chains in 2 jobs)\n", + "NUTS: [coeff]\n", + "100%|██████████| 5500/5500 [00:05<00:00, 1047.23it/s]\n", + "The acceptance probability does not match the target. It is 0.8893164887134138, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], "source": [ - "def tinvlogit(x):\n", - " import theano.tensor as t\n", - " return t.exp(x) / (1 + t.exp(x))\n", - "\n", "with pm.Model() as model:\n", " coeff = pm.Normal('coeff', mu=0, sd=1)\n", - " p = tinvlogit(coeff * predictors_shared)\n", - "\n", - " o = pm.Bernoulli('o', p, observed=outcomes)\n", - " \n", - " trace = pm.sample(5000, n_init=5000)" + " outcome = pm.Bernoulli('outcome', logit_p=coeff*predictors_shared, observed=outcomes) \n", + " trace = pm.sample(5000)" ] }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [], "source": [ "# Changing values here will also change values in the model\n", - "predictors_shared.set_value(predictors_oos)" + "predictors_shared.set_value(predictors_out_of_sample)" ] }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, + "execution_count": 14, + "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 500/500 [00:02<00:00, 190.34it/s]\n" + "100%|██████████| 100/100 [00:00<00:00, 1616.89it/s]\n" ] } ], "source": [ "# Simply running PPC will use the updated values and do prediction\n", - "ppc = pm.sample_ppc(trace, model=model, samples=500)" + "ppc = pm.sample_ppc(trace, model=model, samples=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Mean predicted values plus error bars to give sense of uncertainty in prediction" + "### Mean predicted values plus error bars to give sense of uncertainty in prediction\n", + "\n", + "Note that these are uncertainty caused by MCMC estimation, and not from the underlying model. If we had taken more samples in `sample_ppc`, the error bars would get smaller quite quickly." ] }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, + "execution_count": 15, + "metadata": {}, "outputs": [ { "data": { + "image/png": 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\n", "text/plain": [ - "" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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f09Ojrq4urV+/XgsXLtS///u/684779TPfvYzTZw40XSZubm2D1AjxHCf0DfZif6xliug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\nERER8XgqtSIiIiLi8VRqRURERMTj/Q/SV/dX1TBRLgAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -374,20 +335,36 @@ } ], "source": [ - "plt.errorbar(x=predictors_oos, y=np.asarray(ppc['o']).mean(axis=0), yerr=np.asarray(ppc['o']).std(axis=0), linestyle='', marker='o')\n", - "plt.plot(predictors_oos, outcomes_oos, 'o')\n", - "plt.ylim(-.05, 1.05)\n", - "plt.xlabel('predictor')\n", - "plt.ylabel('outcome')" + "_, ax = plt.subplots(figsize=(12, 6))\n", + "\n", + "β = st.beta((ppc['outcome'] == 1).sum(axis=0), (ppc['outcome'] == 0).sum(axis=0))\n", + "\n", + "# estimated probability\n", + "ax.scatter(x=predictors_out_of_sample, y=β.mean())\n", + "\n", + "# error bars on the estimate\n", + "plt.vlines(predictors_out_of_sample, *β.interval(0.95))\n", + "\n", + "# actual outcomes\n", + "ax.scatter(x=predictors_out_of_sample, \n", + " y=outcomes_out_of_sample, marker='x')\n", + "\n", + "# True probabilities\n", + "x = np.linspace(predictors_out_of_sample.min(), predictors_out_of_sample.max())\n", + "ax.plot(x, invlogit(x), linestyle='-')\n", + "\n", + "\n", + "ax.set_xlabel('predictor')\n", + "ax.set_ylabel('outcome');" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "pymc33.6", "language": "python", - "name": "python3" + "name": "pymc33_6" }, "language_info": { "codemirror_mode": { @@ -399,7 +376,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.4" } }, "nbformat": 4,