From 6dc5dace66b80dc888cf68e10e75b30101e7322b Mon Sep 17 00:00:00 2001 From: Demetri Pananos Date: Sun, 24 Jun 2018 20:16:11 -0400 Subject: [PATCH 1/4] rat tumor example Added notebook for rat tumor example in chapter 5 of BDA --- docs/source/notebooks/RatTumorExample.ipynb | 477 ++++++++++++++++++++ 1 file changed, 477 insertions(+) create mode 100644 docs/source/notebooks/RatTumorExample.ipynb diff --git a/docs/source/notebooks/RatTumorExample.ipynb b/docs/source/notebooks/RatTumorExample.ipynb new file mode 100644 index 0000000000..50392bceb1 --- /dev/null +++ b/docs/source/notebooks/RatTumorExample.ipynb @@ -0,0 +1,477 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Rat Tumors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This short tutorial demonstrates how to use pymc3 to do inference for the rat tumour example found in chapter 5 of *Bayesian Data Analysis 3rd Edition*. Readers should already be familliar with the pymc3 api.\n", + "\n", + "Suppose we are interested in the probability that a lab rat develops endometrial stromal polyps. We have data from 71 previously performed trials and would like to use this data to perform inference.\n", + "\n", + "The authors of BDA3 choose to model this problem heirarchically. Let $y_i$ be the number of lab rats which develop endometrial stromal polyps out of a possible $n_i$. We model the number rodents which develop endometrial stromal polyps as binomial\n", + "\n", + "$$ y_i \\sim \\operatorname{Bin}(\\theta_i;n_i)$$\n", + "\n", + "allowing the probability of developing an endometrial stromal polyp (i.e. $\\theta_i$) to be drawn from some population distribution. For analytical tractability, we assume that $\\theta_i$ has Beta distribution\n", + "\n", + "$$ \\theta_i \\sim \\operatorname{Beta}(\\alpha, \\beta)\\>. $$\n", + "\n", + "We are free to specify a prior distribution for $\\alpha, \\beta$. We choose a weakly informative prior distribution to reflect our ignorance about the true values of $\\alpha, \\beta$. The authors of BDA3 choose the joint hyperprior for $\\alpha, \\beta$ to be\n", + "\n", + "$$ p(\\alpha, \\beta) \\propto (\\alpha + \\beta) ^{-5/2} \\>.$$\n", + "\n", + "For more information, please see *Bayesian Data Analysis 3rd Edition* pg. 110." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# A Directly Computed Solution\n", + "\n", + "Our joint posterior distribution is\n", + "\n", + "$$p(\\alpha,\\beta,\\theta \\lvert y) \n", + "\\propto \\>\n", + "p(\\alpha, \\beta) \\>\n", + "p(\\theta \\lvert \\alpha,\\beta) \\>\n", + "p(y \\lvert \\theta) \\>,$$\n", + "\n", + "which can be rewritten in such a way so as to obtain the marginal posterior distribution for $\\alpha$ and $\\beta$, namely\n", + "\n", + "$$ p(\\alpha, \\beta, \\lvert y) = \n", + "p(\\alpha, \\beta) \n", + "\\prod_{i = 1}^{N} \\dfrac{\\Gamma(\\alpha+\\beta)}{\\Gamma(\\alpha)\\Gamma(\\beta)}\n", + "\\dfrac{\\Gamma(\\alpha+y_i)\\Gamma(\\beta+n_i - y_i)}{\\Gamma(\\alpha+\\beta+n_i)} \\>.$$\n", + "\n", + "\n", + "See BDA3 pg. 110 for a more information on the deriving the marginal posterior distribution. With a little determination, we can plot the marginal posterior and estimate the means of $\\alpha$ and $\\beta$ without having to resort to MCMC. We will see, however, that this requires a more work that just using MCMC.\n", + "\n", + "The authors of BDA3 choose to plot the surfce under the paramterization $(\\log(\\alpha/\\beta), \\log(\\alpha+\\beta))$. We do so as well. Through the remainder of the example, we'll let $x = \\log(\\alpha/\\beta)$ and $z = \\log(\\alpha+\\beta)$.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from scipy.special import gammaln\n", + "import pymc3 as pm\n", + "import pymc3.distributions.transforms as tr\n", + "import theano.tensor as T\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# rat data (BDA3, p. 102)\n", + "y = np.array([\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 2,\n", + " 5, 3, 2, 7, 7, 3, 3, 2, 9, 10, 4, 4, 4, 4, 4, 4, 4,\n", + " 10, 4, 4, 4, 5, 11, 12, 5, 5, 6, 5, 6, 6, 6, 6, 16, 15,\n", + " 15, 9, 4\n", + "])\n", + "n = np.array([\n", + " 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 17, 20, 20, 20,\n", + " 20, 19, 19, 18, 18, 25, 24, 23, 20, 20, 20, 20, 20, 20, 10, 49, 19,\n", + " 46, 27, 17, 49, 47, 20, 20, 13, 48, 50, 20, 20, 20, 20, 20, 20, 20,\n", + " 48, 19, 19, 19, 22, 46, 49, 20, 20, 23, 19, 22, 20, 20, 20, 52, 46,\n", + " 47, 24, 14\n", + "])\n", + "\n", + "N = len(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "#Compute on log scale because products turn to sums\n", + "def log_likelihood(alpha,beta,y,n):\n", + " LL = 0\n", + " \n", + " #Summing over data\n", + " for Y,N in zip(y,n):\n", + " LL+= gammaln(alpha+beta) - gammaln(alpha) - gammaln(beta) + gammaln(alpha+Y) +gammaln(beta+N-Y) - gammaln(alpha+beta+N)\n", + " \n", + " return LL\n", + "\n", + "def log_prior(A,B):\n", + " \n", + " return -5/2*np.log(A+B)\n", + "\n", + "def trans_to_beta(x,y):\n", + " \n", + " return np.exp(y)/(np.exp(x)+1)\n", + "\n", + "def trans_to_alpha(x,y):\n", + " \n", + " return np.exp(x)*trans_to_beta(x,y)\n", + "\n", + "#Create space for the parameterization in which we wish to plot\n", + "X,Z = np.meshgrid(np.arange(-2.3,-1.3,0.01),np.arange(1,5,0.01))\n", + "param_space = np.c_[X.ravel(), Z.ravel()]\n", + "df= pd.DataFrame(param_space, columns=['X','Z'])\n", + "\n", + "#Transform the space back to alpha beta to compute the log-posterior\n", + "df['alpha']= trans_to_alpha(df.X,df.Z)\n", + "df['beta'] = trans_to_beta(df.X,df.Z)\n", + "\n", + "df['log_posterior'] = log_prior(df.alpha,df.beta) + log_likelihood(df.alpha,df.beta, y,n)\n", + "df['log_jacobian'] = np.log(df.alpha) + np.log(df.beta)\n", + "\n", + "df['transformed'] = df.log_posterior+df.log_jacobian\n", + "df['exp_trans'] = np.exp(df.transformed - df.transformed.max())\n", + "\n", + "#This will ensure the density is normalized\n", + "df['normed_exp_trans'] = df.exp_trans/df.exp_trans.sum()\n", + "\n", + "\n", + "surface = df.set_index(['X','Z']).exp_trans.unstack().values.T" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(-1.6,3.5,'$(-1.79,2.74)$')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize = (8,8))\n", + "ax.contourf(X,Z, surface)\n", + "ax.set_xlabel(r'$\\log(\\alpha/\\beta)$', fontsize = 16)\n", + "ax.set_ylabel(r'$\\log(\\alpha+\\beta)$', fontsize = 16)\n", + "\n", + "ix_z,ix_x = np.unravel_index(np.argmax(surface, axis=None), surface.shape)\n", + "ax.scatter([X[0,ix_x]], [Z[ix_z,0]], color = 'red')\n", + "\n", + "text= r\"$({a},{b})$\".format(a = np.round(X[0,ix_x],2), b = np.round(Z[ix_z,0],2))\n", + "\n", + "ax.annotate(text, \n", + " xy = (X[0,ix_x],Z[ix_z,0]), \n", + " xytext=(-1.6, 3.5), \n", + " ha = 'center',\n", + " fontsize = 16,\n", + " color = 'white',\n", + " arrowprops=dict(\n", + " facecolor='white',\n", + " \n", + " )\n", + " )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The plot shows that the posterior is roughly symetric about the mode (-1.79, 2.74). This corresponds to $\\alpha = 2.21$ and $\\beta = 13.27$. We can compute the marginal means as the authors of BDA3 do, using\n", + "\n", + "$$ \\operatorname{E}(\\alpha \\lvert y) \\mbox{ is Estimated By }\n", + "\\sum_{x,z} \\alpha p(x,z\\lvert y) $$\n", + "\n", + "$$ \\operatorname{E}(\\beta \\lvert y) \\mbox{ is Estimated By }\n", + "\\sum_{x,z} \\beta p(x,z\\lvert y) $$" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.403" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Estimated mean of alpha\n", + "(df.alpha*df.normed_exp_trans).sum().round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14.319" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Estimated mean of beta\n", + "(df.beta*df.normed_exp_trans).sum().round(3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Computing the Posterior using PyMC3\n", + "\n", + "Computing the marginal posterior directly is a lot of work, and is not always possible for sufficiently complex models. \n", + "\n", + "On the other hand, creating heirarchichal models in pymc3 is simple. We can use the samples obtained from the posterior to estimate the means of $\\alpha$ and $\\beta$." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (2 chains in 2 jobs)\n", + "NUTS: [theta, ab]\n", + "Sampling 2 chains: 100%|██████████| 101000/101000 [03:35<00:00, 469.03draws/s]\n", + "There were 933 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 16 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "The number of effective samples is smaller than 10% for some parameters.\n" + ] + } + ], + "source": [ + "def logp_ab(value):\n", + " ''' prior density'''\n", + " return T.log(T.pow(T.sum(value), -5/2))\n", + "\n", + "\n", + "np.random.seed(19920908)\n", + "with pm.Model() as model:\n", + " \n", + " ab = pm.DensityDist('ab', logp_ab, shape=2, testval=np.asarray([1., 1.]))\n", + " \n", + " #Will use these values to plot a KDE to compare to analytical approach\n", + " X = pm.Deterministic('X',T.log(ab[0]/ab[1]))\n", + " Z = pm.Deterministic('Z',T.log(ab[0]+ab[1]))\n", + " \n", + " theta = pm.Beta('theta', alpha=ab[0], beta=ab[1], shape=N)\n", + "\n", + " p = pm.Binomial('y', p=theta, observed=y, n=n)\n", + " \n", + " trace = pm.sample(50_000, step = pm.NUTS())\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[,\n", + " ],\n", + " [,\n", + " ],\n", + " [,\n", + " ]],\n", + " dtype=object)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Check the trace. Looks good!\n", + "short_trace = trace[25000:]\n", + "pm.traceplot(short_trace, varnames=['ab','X','Z'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot a kernel density estimate for $x$ and $y$. It looks rather similar to our countour plot made from the analytic marginal posterior density. That's a good sign, and required far less effort." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.kdeplot(short_trace['X'], short_trace['Z'],shade = True, cmap = 'viridis')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From here, we could use the trace to compute the mean of the distribution. Doing so, we estimate the mean of $\\alpha$ and $\\beta$ to be 2.42 and 14.39 respectively, which is close to what we estimated directly from the analytical marginal posterior. " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([,\n", + " ,\n", + " ,\n", + " ],\n", + " dtype=object)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pm.posteriorplot.plot_posterior(short_trace, varnames = ['X','Z','ab'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Conclusion\n", + "\n", + "Analytically calculating statistics for posterior distributions is difficult if not impossible for some models. Pymc3 provides an easy way drawing samples from your model's posterior with only a few lines of code." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# References\n", + "\n", + "1. Gelman, Andrew, et al. *Bayesian Data Analysis*. CRC Press, 2013." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From c4aba6c85cbf9bb31db6bf392c54a0a3758152ed Mon Sep 17 00:00:00 2001 From: Demetri Pananos Date: Tue, 26 Jun 2018 21:06:16 -0400 Subject: [PATCH 2/4] Made Edits --- docs/source/examples.rst | 3 +- docs/source/notebooks/RatTumorExample.ipynb | 209 +++++++++----------- 2 files changed, 92 insertions(+), 120 deletions(-) diff --git a/docs/source/examples.rst b/docs/source/examples.rst index 3bde0df13d..cd11cf9eb6 100644 --- a/docs/source/examples.rst +++ b/docs/source/examples.rst @@ -35,6 +35,7 @@ GLM === .. toctree:: + notebooks/RatTumorExample.ipynb notebooks/GLM-linear.ipynb notebooks/GLM-robust.ipynb notebooks/GLM-robust-with-outlier-detection.ipynb @@ -78,7 +79,7 @@ Variational Inference notebooks/convolutional_vae_keras_advi.ipynb notebooks/empirical-approx-overview.ipynb notebooks/normalizing_flows_overview.ipynb - + Stochastic Gradient =================== diff --git a/docs/source/notebooks/RatTumorExample.ipynb b/docs/source/notebooks/RatTumorExample.ipynb index 50392bceb1..851f2aecd9 100644 --- a/docs/source/notebooks/RatTumorExample.ipynb +++ b/docs/source/notebooks/RatTumorExample.ipynb @@ -7,6 +7,37 @@ "# Rat Tumors" ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running on PyMC3 v3.4.1\n" + ] + } + ], + "source": [ + "%matplotlib inline\n", + "import pymc3 as pm\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import pandas as pd\n", + "import pymc3.distributions.transforms as tr\n", + "import theano.tensor as tt\n", + "from scipy.special import gammaln\n", + "\n", + "\n", + "\n", + "plt.style.use('seaborn-darkgrid')\n", + "print('Running on PyMC3 v{}'.format(pm.__version__))\n", + "\n" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -52,34 +83,15 @@ "\\dfrac{\\Gamma(\\alpha+y_i)\\Gamma(\\beta+n_i - y_i)}{\\Gamma(\\alpha+\\beta+n_i)} \\>.$$\n", "\n", "\n", - "See BDA3 pg. 110 for a more information on the deriving the marginal posterior distribution. With a little determination, we can plot the marginal posterior and estimate the means of $\\alpha$ and $\\beta$ without having to resort to MCMC. We will see, however, that this requires a more work that just using MCMC.\n", + "See BDA3 pg. 110 for a more information on the deriving the marginal posterior distribution. With a little determination, we can plot the marginal posterior and estimate the means of $\\alpha$ and $\\beta$ without having to resort to MCMC. We will see, however, that this requires considerable effort.\n", "\n", - "The authors of BDA3 choose to plot the surfce under the paramterization $(\\log(\\alpha/\\beta), \\log(\\alpha+\\beta))$. We do so as well. Through the remainder of the example, we'll let $x = \\log(\\alpha/\\beta)$ and $z = \\log(\\alpha+\\beta)$.\n", + "The authors of BDA3 choose to plot the surfce under the paramterization $(\\log(\\alpha/\\beta), \\log(\\alpha+\\beta))$. We do so as well. Through the remainder of the example let $x = \\log(\\alpha/\\beta)$ and $z = \\log(\\alpha+\\beta)$.\n", "\n" ] }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "\n", - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "import seaborn as sns\n", - "\n", - "from scipy.special import gammaln\n", - "import pymc3 as pm\n", - "import pymc3.distributions.transforms as tr\n", - "import theano.tensor as T\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -104,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -154,22 +166,12 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(-1.6,3.5,'$(-1.79,2.74)$')" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", 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" ] @@ -194,12 +196,12 @@ " xytext=(-1.6, 3.5), \n", " ha = 'center',\n", " fontsize = 16,\n", - " color = 'white',\n", + " color = 'black',\n", " arrowprops=dict(\n", " facecolor='white',\n", " \n", " )\n", - " )" + " );" ] }, { @@ -217,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -226,7 +228,7 @@ "2.403" ] }, - "execution_count": 16, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -238,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -247,7 +249,7 @@ "14.319" ] }, - "execution_count": 17, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -265,76 +267,49 @@ "\n", "Computing the marginal posterior directly is a lot of work, and is not always possible for sufficiently complex models. \n", "\n", - "On the other hand, creating heirarchichal models in pymc3 is simple. We can use the samples obtained from the posterior to estimate the means of $\\alpha$ and $\\beta$." + "On the other hand, creating heirarchichal models in pymc3 is simple. We can use the samples obtained from the posterior to estimate the means of $\\alpha$ and $\\beta$.\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 8, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Multiprocess sampling (2 chains in 2 jobs)\n", - "NUTS: [theta, ab]\n", - "Sampling 2 chains: 100%|██████████| 101000/101000 [03:35<00:00, 469.03draws/s]\n", - "There were 933 divergences after tuning. Increase `target_accept` or reparameterize.\n", - "There were 16 divergences after tuning. Increase `target_accept` or reparameterize.\n", - "The number of effective samples is smaller than 10% for some parameters.\n" - ] - } - ], + "outputs": [], "source": [ "def logp_ab(value):\n", " ''' prior density'''\n", - " return T.log(T.pow(T.sum(value), -5/2))\n", + " return tt.log(tt.pow(tt.sum(value), -5/2))\n", "\n", "\n", - "np.random.seed(19920908)\n", - "with pm.Model() as model:\n", " \n", - " ab = pm.DensityDist('ab', logp_ab, shape=2, testval=np.asarray([1., 1.]))\n", + "with pm.Model() as model:\n", + " # Uninformative prior for alpha and beta\n", + " ab = pm.HalfFlat('ab', \n", + " shape=2, \n", + " testval=np.asarray([1., 1.]))\n", + " pm.Potential('p(a, b)', logp_ab(ab))\n", " \n", - " #Will use these values to plot a KDE to compare to analytical approach\n", - " X = pm.Deterministic('X',T.log(ab[0]/ab[1]))\n", - " Z = pm.Deterministic('Z',T.log(ab[0]+ab[1]))\n", + " X = pm.Deterministic('X',tt.log(ab[0]/ab[1]))\n", + " Z = pm.Deterministic('Z',tt.log(tt.sum(ab)))\n", " \n", " theta = pm.Beta('theta', alpha=ab[0], beta=ab[1], shape=N)\n", "\n", " p = pm.Binomial('y', p=theta, observed=y, n=n)\n", - " \n", - " trace = pm.sample(50_000, step = pm.NUTS())\n", - " \n" + " trace = pm.sample(1000, tune=2000, nuts_kwargs={'target_accept': .95})\n", + " " ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { - "text/plain": [ - "array([[,\n", - " ],\n", - " [,\n", - " ],\n", - " [,\n", - " ]],\n", - " dtype=object)" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -345,8 +320,7 @@ ], "source": [ "#Check the trace. Looks good!\n", - "short_trace = trace[25000:]\n", - "pm.traceplot(short_trace, varnames=['ab','X','Z'])" + "pm.traceplot(trace, varnames=['ab','X','Z']);" ] }, { @@ -358,22 +332,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -383,48 +347,55 @@ } ], "source": [ - "sns.kdeplot(short_trace['X'], short_trace['Z'],shade = True, cmap = 'viridis')" + "sns.kdeplot(trace['X'], trace['Z'],shade = True, cmap = 'viridis');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "From here, we could use the trace to compute the mean of the distribution. Doing so, we estimate the mean of $\\alpha$ and $\\beta$ to be 2.42 and 14.39 respectively, which is close to what we estimated directly from the analytical marginal posterior. " + "From here, we could use the trace to compute the mean of the distribution." ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { + "image/png": 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\n", 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\n", 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" + "array([ 2.38164481, 14.21866773])" ] }, + "execution_count": 12, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "pm.posteriorplot.plot_posterior(short_trace, varnames = ['X','Z','ab'])" + "#estimate the means from the samples\n", + "trace['ab'].mean(axis = 0)" ] }, { @@ -433,7 +404,7 @@ "source": [ "# Conclusion\n", "\n", - "Analytically calculating statistics for posterior distributions is difficult if not impossible for some models. Pymc3 provides an easy way drawing samples from your model's posterior with only a few lines of code." + "Analytically calculating statistics for posterior distributions is difficult if not impossible for some models. Pymc3 provides an easy way drawing samples from your model's posterior with only a few lines of code. Here, we used pymc3 to obtain estimates of the posterior mean for the rat tumor example in chapter 5 of BDA3. The estimates obtained from pymc3 are encouragingly close to the estimates obtained from the analytical posterior density." ] }, { @@ -446,11 +417,11 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "Authors: Demetri Pananos, Junpeng Lao" + ] } ], "metadata": { From af803ec9fb090c55d21b0f7485e63aafcec66920 Mon Sep 17 00:00:00 2001 From: Demetri Pananos Date: Wed, 27 Jun 2018 05:45:02 -0400 Subject: [PATCH 3/4] Renamed notebook & Fixed Math --- docs/source/examples.rst | 2 +- ....ipynb => GLM-hierarchical-binominal-model.ipynb} | 12 ++++++------ 2 files changed, 7 insertions(+), 7 deletions(-) rename docs/source/notebooks/{RatTumorExample.ipynb => GLM-hierarchical-binominal-model.ipynb} (99%) diff --git a/docs/source/examples.rst b/docs/source/examples.rst index cd11cf9eb6..e0c9d76201 100644 --- a/docs/source/examples.rst +++ b/docs/source/examples.rst @@ -35,7 +35,6 @@ GLM === .. toctree:: - notebooks/RatTumorExample.ipynb notebooks/GLM-linear.ipynb notebooks/GLM-robust.ipynb notebooks/GLM-robust-with-outlier-detection.ipynb @@ -45,6 +44,7 @@ GLM notebooks/GLM-poisson-regression.ipynb notebooks/hierarchical_partial_pooling.ipynb notebooks/GLM-negative-binomial-regression.ipynb + notebooks/GLM-hierarchical-binominal-model.ipynb Gaussian Processes ================== diff --git a/docs/source/notebooks/RatTumorExample.ipynb b/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb similarity index 99% rename from docs/source/notebooks/RatTumorExample.ipynb rename to docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb index 851f2aecd9..ba16e6d551 100644 --- a/docs/source/notebooks/RatTumorExample.ipynb +++ b/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb @@ -4,12 +4,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Rat Tumors" + "# Hierarchical Binominal Model: Rat Tumor Example" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -52,11 +52,11 @@ "\n", "allowing the probability of developing an endometrial stromal polyp (i.e. $\\theta_i$) to be drawn from some population distribution. For analytical tractability, we assume that $\\theta_i$ has Beta distribution\n", "\n", - "$$ \\theta_i \\sim \\operatorname{Beta}(\\alpha, \\beta)\\>. $$\n", + "$$ \\theta_i \\sim \\operatorname{Beta}(\\alpha, \\beta)$$\n", "\n", "We are free to specify a prior distribution for $\\alpha, \\beta$. We choose a weakly informative prior distribution to reflect our ignorance about the true values of $\\alpha, \\beta$. The authors of BDA3 choose the joint hyperprior for $\\alpha, \\beta$ to be\n", "\n", - "$$ p(\\alpha, \\beta) \\propto (\\alpha + \\beta) ^{-5/2} \\>.$$\n", + "$$ p(\\alpha, \\beta) \\propto (\\alpha + \\beta) ^{-5/2}$$\n", "\n", "For more information, please see *Bayesian Data Analysis 3rd Edition* pg. 110." ] @@ -73,14 +73,14 @@ "\\propto \\>\n", "p(\\alpha, \\beta) \\>\n", "p(\\theta \\lvert \\alpha,\\beta) \\>\n", - "p(y \\lvert \\theta) \\>,$$\n", + "p(y \\lvert \\theta)$$\n", "\n", "which can be rewritten in such a way so as to obtain the marginal posterior distribution for $\\alpha$ and $\\beta$, namely\n", "\n", "$$ p(\\alpha, \\beta, \\lvert y) = \n", "p(\\alpha, \\beta) \n", "\\prod_{i = 1}^{N} \\dfrac{\\Gamma(\\alpha+\\beta)}{\\Gamma(\\alpha)\\Gamma(\\beta)}\n", - "\\dfrac{\\Gamma(\\alpha+y_i)\\Gamma(\\beta+n_i - y_i)}{\\Gamma(\\alpha+\\beta+n_i)} \\>.$$\n", + "\\dfrac{\\Gamma(\\alpha+y_i)\\Gamma(\\beta+n_i - y_i)}{\\Gamma(\\alpha+\\beta+n_i)}$$\n", "\n", "\n", "See BDA3 pg. 110 for a more information on the deriving the marginal posterior distribution. With a little determination, we can plot the marginal posterior and estimate the means of $\\alpha$ and $\\beta$ without having to resort to MCMC. We will see, however, that this requires considerable effort.\n", From abcfd5e61a14f104926404bc836390b849b1f0d3 Mon Sep 17 00:00:00 2001 From: Demetri Pananos Date: Wed, 27 Jun 2018 19:11:25 -0400 Subject: [PATCH 4/4] More Edits --- .../GLM-hierarchical-binominal-model.ipynb | 55 ++++++++++++------- 1 file changed, 34 insertions(+), 21 deletions(-) diff --git a/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb b/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb index ba16e6d551..ebb3d16f03 100644 --- a/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb +++ b/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb @@ -70,9 +70,9 @@ "Our joint posterior distribution is\n", "\n", "$$p(\\alpha,\\beta,\\theta \\lvert y) \n", - "\\propto \\>\n", - "p(\\alpha, \\beta) \\>\n", - "p(\\theta \\lvert \\alpha,\\beta) \\>\n", + "\\propto \n", + "p(\\alpha, \\beta) \n", + "p(\\theta \\lvert \\alpha,\\beta)\n", "p(y \\lvert \\theta)$$\n", "\n", "which can be rewritten in such a way so as to obtain the marginal posterior distribution for $\\alpha$ and $\\beta$, namely\n", @@ -91,7 +91,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -116,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -166,7 +166,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -219,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -228,7 +228,7 @@ "2.403" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -240,7 +240,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -249,7 +249,7 @@ "14.319" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -273,9 +273,22 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (2 chains in 2 jobs)\n", + "NUTS: [theta, ab]\n", + "Sampling 2 chains: 100%|██████████| 6000/6000 [00:19<00:00, 314.49draws/s]\n", + "The number of effective samples is smaller than 25% for some parameters.\n" + ] + } + ], "source": [ "def logp_ab(value):\n", " ''' prior density'''\n", @@ -302,14 +315,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -332,12 +345,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -359,12 +372,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -379,16 +392,16 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ 2.38164481, 14.21866773])" + "array([ 2.44039844, 14.56745196])" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }