From 0fc3261886b19472afbe709942a749928dc2e8d1 Mon Sep 17 00:00:00 2001 From: Larry Dong Date: Fri, 26 Aug 2022 13:35:58 -0400 Subject: [PATCH] Adding Dirichlet Process submodule --- notebooks/dirichlet-process-numpy.ipynb | 282 ++++++++++++++++++++ notebooks/dirichlet-process-pymc.ipynb | 203 ++++++++++++++ notebooks/dp-example-9.png | Bin 0 -> 175184 bytes notebooks/dp-posterior-multiple-samples.png | Bin 0 -> 215422 bytes notebooks/dp-posterior-single-sample.png | Bin 0 -> 71717 bytes notebooks/dp-posterior.png | Bin 0 -> 228458 bytes pymc_experimental/__init__.py | 2 +- pymc_experimental/dp/__init__.py | 18 ++ pymc_experimental/dp/dp.py | 83 ++++++ 9 files changed, 587 insertions(+), 1 deletion(-) create mode 100644 notebooks/dirichlet-process-numpy.ipynb create mode 100644 notebooks/dirichlet-process-pymc.ipynb create mode 100644 notebooks/dp-example-9.png create mode 100644 notebooks/dp-posterior-multiple-samples.png create mode 100644 notebooks/dp-posterior-single-sample.png create mode 100644 notebooks/dp-posterior.png create mode 100644 pymc_experimental/dp/__init__.py create mode 100644 pymc_experimental/dp/dp.py diff --git a/notebooks/dirichlet-process-numpy.ipynb b/notebooks/dirichlet-process-numpy.ipynb new file mode 100644 index 00000000..70762cf4 --- /dev/null +++ b/notebooks/dirichlet-process-numpy.ipynb @@ -0,0 +1,282 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "fcdf277f", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as st\n", + "\n", + "%config InlineBackend.figure_format = \"retina\"\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "id": "980ba3a2", + "metadata": {}, + "source": [ + "I follow **Example 9** from [here](https://projecteuclid.org/ebooks/nsf-cbms-regional-conference-series-in-probability-and-statistics/Nonparametric-Bayesian-Inference/Chapter/Chapter-3-Dirichlet-Process/10.1214/cbms/1362163748) (displayed below) and attempt to also replicate the results shown in Figure 3.2. They assume that data are drawn i.i.d. from $\\mathcal{N}(2, 4)$ but assume a base distribution $G_0 = \\mathcal{N}(0, 1)$." + ] + }, + { + "cell_type": "markdown", + "id": "5299a263", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "4d8682af", + "metadata": {}, + "outputs": [], + "source": [ + "N = 20\n", + "K = 25\n", + "M = 5\n", + "rng = np.random.RandomState(seed=34)\n", + "G0 = lambda: rng.normal(\n", + " loc=0.0,\n", + " scale=1.0,\n", + " size=1,\n", + ")\n", + "\n", + "\n", + "def Gn(alpha, G0, obs):\n", + " \"\"\"\n", + " obs is a vector of observed data upon which we condition\n", + " \"\"\"\n", + "\n", + " n_obs = len(obs)\n", + " idx = rng.binomial(\n", + " n=1,\n", + " p=alpha / (alpha + n_obs),\n", + " size=[\n", + " K + 1,\n", + " ],\n", + " )\n", + "\n", + " posterior_draws = []\n", + "\n", + " for i in range(K + 1):\n", + " if idx[i] == 1:\n", + " posterior_draws.append(float(G0()))\n", + " elif idx[i] == 0:\n", + " posterior_draws.append(rng.choice(obs))\n", + " else:\n", + " raise ValueError(\"Hmm something's not right\")\n", + "\n", + " return np.array(posterior_draws)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "868a9a0d", + "metadata": {}, + "outputs": [], + "source": [ + "x_plot = np.linspace(-4, 8, num=1001)\n", + "\n", + "\n", + "def cdf(alpha, obs):\n", + "\n", + " global w\n", + "\n", + " n_obs = len(obs)\n", + " betas = np.random.beta(1, alpha + n_obs, size=[N, K])\n", + " betas[:, 1:] = betas[:, 1:] * (1 - betas[:, :-1]).cumprod(axis=1)\n", + "\n", + " w = betas.copy() # weights\n", + " w = np.hstack((w, (1 - w.sum(axis=1))[..., np.newaxis]))\n", + " m = np.array([Gn(alpha, G0, obs) for _ in range(N)])\n", + "\n", + " dirac = np.less.outer(m, x_plot).astype(int)\n", + " return (w[..., np.newaxis] * dirac).sum(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6d42809a", + "metadata": {}, + "outputs": [ + { + "data": { + 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 474, + "width": 1236 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n", + "dp_sample = {}\n", + "\n", + "# for i in range(N):\n", + "# ax.plot(x_plot, dp_sample[i], c=\"k\", alpha=0.1)\n", + "\n", + "for fig_num in range(2):\n", + "\n", + " if fig_num == 0:\n", + " n_obs = 8\n", + " elif fig_num == 1:\n", + " n_obs = 50\n", + "\n", + " x_obs = rng.normal(\n", + " loc=2.0,\n", + " scale=2.0,\n", + " size=[\n", + " n_obs,\n", + " ],\n", + " )\n", + " dp_sample[n_obs] = cdf(5, x_obs)\n", + "\n", + " _ = ax[fig_num].plot(\n", + " x_plot,\n", + " dp_sample[n_obs].mean(axis=0),\n", + " c=\"k\",\n", + " linestyle=\"-\",\n", + " linewidth=2,\n", + " label=\"posterior E(F|y)\",\n", + " )\n", + " _ = ax[fig_num].plot(x_plot, st.norm.cdf(x_plot), c=\"k\", linestyle=\"-.\", label=\"prior E(F)\")\n", + " _ = ax[fig_num].plot(\n", + " x_plot,\n", + " np.greater.outer(x_plot, x_obs).mean(axis=1),\n", + " c=\"k\",\n", + " linestyle=\"dotted\",\n", + " alpha=0.5,\n", + " label=\"empirical\",\n", + " )\n", + " _ = ax[fig_num].plot(\n", + " x_plot, st.norm.cdf(x_plot, loc=2.0, scale=2.0), c=\"k\", linestyle=\"--\", label=\"truth\"\n", + " )\n", + "\n", + " _ = ax[fig_num].set_title(f\"# of observations = {n_obs}\", fontsize=14)\n", + " _ = ax[fig_num].set_ylabel(\"F(x)\", fontsize=12)\n", + " _ = ax[fig_num].set_xlabel(\"x\", fontsize=12)\n", + " _ = ax[fig_num].legend()\n", + "\n", + "plt.savefig(fname=\"dp-posterior\", dpi=300)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f988a53e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 450, + "width": 1214 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n", + "\n", + "_ = ax[0].plot(x_plot, dp_sample[8][0], c=\"k\", linestyle=\"-\", linewidth=0.5)\n", + "_ = ax[1].plot(x_plot, dp_sample[50][0], c=\"k\", linestyle=\"-\", linewidth=0.5)\n", + "\n", + "for i in range(2):\n", + " _ = ax[fig_num].set_ylabel(\"F(x)\", fontsize=12)\n", + " _ = ax[fig_num].set_xlabel(\"x\", fontsize=12)\n", + "\n", + "_ = plt.savefig(fname=\"dp-posterior-single-sample\", dpi=300)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4dd5f4b0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "image/png": { + "height": 450, + "width": 1214 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n", + "\n", + "for i in range(N):\n", + " _ = ax[0].plot(x_plot, dp_sample[8][i], c=\"k\", linestyle=\"-\", linewidth=0.5)\n", + " _ = ax[1].plot(x_plot, dp_sample[50][i], c=\"k\", linestyle=\"-\", linewidth=0.5)\n", + "\n", + "for i in range(2):\n", + " _ = ax[fig_num].set_ylabel(\"F(x)\", fontsize=12)\n", + " _ = ax[fig_num].set_xlabel(\"x\", fontsize=12)\n", + "\n", + "_ = plt.savefig(fname=\"dp-posterior-multiple-samples\", dpi=300)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f5b3abd0", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pymc-dev", + "language": "python", + "name": "pymc-dev" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/dirichlet-process-pymc.ipynb b/notebooks/dirichlet-process-pymc.ipynb new file mode 100644 index 00000000..0af20cdf --- /dev/null +++ b/notebooks/dirichlet-process-pymc.ipynb @@ -0,0 +1,203 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ddde367f", + "metadata": {}, + "outputs": [], + "source": [ + "import pymc as pm\n", + "import numpy as np\n", + "import pymc_experimental as pmx\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import arviz as az\n", + "\n", + "%config InlineBackend.figure_format = \"retina\"\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "id": "45731819", + "metadata": {}, + "source": [ + "I follow **Example 9** from [here](https://projecteuclid.org/ebooks/nsf-cbms-regional-conference-series-in-probability-and-statistics/Nonparametric-Bayesian-Inference/Chapter/Chapter-3-Dirichlet-Process/10.1214/cbms/1362163748) (displayed below) and attempt to also replicate the results shown in Figure 3.2. They assume that data are drawn i.i.d. from $\\mathcal{N}(2, 4)$ but assume a base distribution $G_0 = \\mathcal{N}(0, 1)$.\n", + "\n", + "" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "93713949", + "metadata": {}, + "outputs": [], + "source": [ + "alpha = 5.0 # concentration parameter\n", + "K = 19 # truncation parameter\n", + "\n", + "rng = np.random.default_rng(seed=34)\n", + "obs = rng.normal(2.0, 2.0, size=50)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7fab0297", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (4 chains in 4 jobs)\n", + "CompoundStep\n", + ">NUTS: [alpha, base_dist, sbw]\n", + ">BinaryGibbsMetropolis: [idx]\n", + ">CategoricalGibbsMetropolis: [atom_selection]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [8000/8000 00:16<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 1_000 draw iterations (4_000 + 4_000 draws total) took 16 seconds.\n", + "The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n", + "The effective sample size per chain is smaller than 100 for some parameters. A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n" + ] + } + ], + "source": [ + "with pm.Model() as model:\n", + " alpha = pm.Uniform(\"alpha\", 0.0, 10.0)\n", + " base_dist = pm.Normal(\"base_dist\", 0.0, 1.0, shape=(K + 1,))\n", + " sbw, atoms = pmx.dp.DirichletProcess(\"dp\", alpha, base_dist, K, observed=obs)\n", + "\n", + " trace = pm.sample(target_accept=0.95)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "9ca7b453", + "metadata": {}, + "outputs": [], + "source": [ + "x_plot = np.linspace(-4, 8, num=1001)\n", + "\n", + "\n", + "def plot_dp_posterior(x_plot, trace, chain_id=0, draw_id=list(range(50))):\n", + " atoms_post = trace.posterior[\"atoms\"].values[0]\n", + " sbw_post = trace.posterior[\"sbw\"].values[0]\n", + "\n", + " ecdf = np.less.outer(atoms_post, x_plot).mean(axis=1)\n", + "\n", + " fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7, 5))\n", + "\n", + " for _draw in draw_id:\n", + " ax.plot(x_plot, ecdf[_draw], c=\"k\", linestyle=\"-\", linewidth=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "72b633be", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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a/pymc_experimental/dp/__init__.py b/pymc_experimental/dp/__init__.py new file mode 100644 index 00000000..01429df9 --- /dev/null +++ b/pymc_experimental/dp/__init__.py @@ -0,0 +1,18 @@ +# Copyright 2020 The PyMC Developers +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + + +from pymc_experimental.dp.dp import DirichletProcess + +__all__ = ["DirichletProcess"] diff --git a/pymc_experimental/dp/dp.py b/pymc_experimental/dp/dp.py new file mode 100644 index 00000000..c4ce7d99 --- /dev/null +++ b/pymc_experimental/dp/dp.py @@ -0,0 +1,83 @@ +# Copyright 2020 The PyMC Developers +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import numpy as np +import pymc as pm +import pytensor.tensor as pt +from pymc.model import modelcontext + +__all__ = ["DirichletProcess"] + + +def DirichletProcess(name, alpha, base_dist, K, observed=None, sbw_name=None, atoms_name=None): + r""" + Truncated Dirichlet Process for Bayesian Nonparametric Density Modelling + + Parameters + ---------- + alpha: tensor_like of float + Scale concentration parameter (alpha > 0) specifying the size of "sticks", or generated + weights, from the stick-breaking process. Ideally, alpha should have a prior and not be + a fixed constant. + base_dist: single batched distribution + The base distribution for a Dirichlet Process. `base_dist` must have shape (K + 1,). + K: int + The truncation parameter for the number of components of the Dirichlet Process Mixture. + The Goldilocks Principle should be used in selecting an appropriate value of K: not too + low to capture all possible clusters and not too high to induce a heavy computational + burden for sampling. + """ + if sbw_name is None: + sbw_name = "sbw" + + if atoms_name is None: + atoms_name = "atoms" + + if observed is not None: + observed = np.asarray(observed) + + if observed.ndim > 1: + raise ValueError("Multi-dimensional Dirichlet Processes are not " "yet supported.") + + N = observed.shape[0] + + try: + modelcontext(None) + except TypeError: + raise ValueError( + "PyMC Dirichlet Processes are only available under a pm.Model() context manager." + ) + + sbw = pm.StickBreakingWeights(sbw_name, alpha, K) + + if observed is None: + return sbw, pm.Deterministic(atoms_name, base_dist) + + """ + idx samples a new atom from `base_dist` with probability alpha/(alpha + N) + and an existing atom from `observed` with probability N/(alpha + N). + + If a new atom is not sampled, an atom from `observed` is sampled uniformly. + """ + idx = pm.Bernoulli("idx", p=alpha / (alpha + N), shape=(K + 1,)) + atom_selection = pm.Categorical("atom_selection", p=[1 / N] * N, shape=(K + 1,)) + + atoms = pm.Deterministic( + atoms_name, + var=pt.stack([pt.constant(observed)[atom_selection], base_dist], axis=-1)[ + pt.arange(K + 1), idx + ], + ) + + return sbw, atoms