{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/claus/miniconda3/lib/python3.7/site-packages/xarray/core/merge.py:17: FutureWarning: The Panel class is removed from pandas. Accessing it from the top-level namespace will also be removed in the next version\n", " PANDAS_TYPES = (pd.Series, pd.DataFrame, pd.Panel)\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as stats\n", "import pymc3 as pm\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "# plt.style.use('fivethirtyeight')\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "SEED = 42\n", "np.random.seed(SEED)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'3.7'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook was inspired by this homework problem post by Richard McElreath: \n", "https://twitter.com/rlmcelreath/status/1177554702235525122\n", "\n", "And influenced by Baze Petrushev's first take on a solution:\n", "https://github.com/petrushev/bayesian-modeling/blob/andrews-spinner/andrews-spinner/andrews_spinner.ipynb\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set up the dataframe with the missing values as `np.nan`" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(8, 0.125)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.DataFrame([18, 19, 22, float(np.nan), float(np.nan), 19, 20, 22], columns=[\"frequency\"])\n", "k = len(data)\n", "p = 1/k\n", "k, p" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " frequency\n", "0 18.0\n", "1 19.0\n", "2 22.0\n", "3 NaN\n", "4 NaN\n", "5 19.0\n", "6 20.0\n", "7 22.0" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([3, 4])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "missing_indeces = np.argwhere(np.isnan(data[\"frequency\"])).flatten()\n", "missing_indeces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Relying on PyMC3's handling of missing values, we pass the observed data _with_ missing values to a Poisson random variable. PyMC3 creates new random variables for each missing data point, which we can use downstream:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/claus/miniconda3/lib/python3.7/site-packages/pymc3/model.py:1331: UserWarning: Data in spins contains missing values and will be automatically imputed from the sampling distribution.\n", " warnings.warn(impute_message, UserWarning)\n" ] } ], "source": [ "with pm.Model() as model_frequency:\n", "\n", " α = pm.Exponential(\"α\", 1)\n", " β = pm.Exponential(\"β\", .1)\n", " λ = pm.Gamma(\"λ\", α, β)\n", " spins = pm.Poisson(\"spins\", mu=λ, observed=data[\"frequency\"])\n", " \n", " # We create an imputed dataset by filling in the missing variables with our new random variables\n", " data_obs_imputed = list(data[\"frequency\"])\n", " \n", " for i, m in enumerate(missing_indeces):\n", " data_obs_imputed[m] = spins[i]\n", "\n", " data_obs_imputed = pm.Deterministic(\"data_obs_imputed\", pm.math.stack(data_obs_imputed))\n", "\n", " # We use the new total number of spins (including the posteriors of the missing variables)\n", " total_spins_imputed = pm.Deterministic(\"total_spins_imputed\", pm.math.sum(data_obs_imputed))\n", " \n", " a = np.ones(k)/k\n", " theta = pm.Dirichlet(\"theta\", a=a)\n", " \n", " successes = pm.Multinomial(\"successes\", \n", " n=total_spins_imputed, \n", " p=theta, \n", " observed=data_obs_imputed)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", " \\begin{array}{rcl}\n", " \\text{α} &\\sim & \\text{Exponential}(\\mathit{lam}=1.0)\\\\\\text{β} &\\sim & \\text{Exponential}(\\mathit{lam}=0.1)\\\\\\text{λ} &\\sim & \\text{Gamma}(\\mathit{alpha}=\\text{α},~\\mathit{beta}=\\text{β})\\\\\\text{data_obs_imputed} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant})\\\\\\text{total_spins_imputed} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant})\\\\theta &\\sim & \\text{Dirichlet}(\\mathit{a}=array)\\\\\\text{spins} &\\sim & \\text{Poisson}(\\mathit{mu}=\\text{λ})\\\\successes &\\sim & \\text{Multinomial}(\\mathit{n}=f(\\text{total_spins_imputed}), \\mathit{p}=f(\\text{theta},~f(f(\\text{theta}))))\n", " \\end{array}\n", " $$" ], "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_frequency" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (3 chains in 4 jobs)\n", "CompoundStep\n", ">NUTS: [theta, λ, β, α]\n", ">Metropolis: [spins_missing]\n", "Sampling 3 chains: 100%|██████████| 69000/69000 [00:44<00:00, 1543.42draws/s]\n", "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 6 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 35 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with model_frequency:\n", " trace_frequency = pm.sample(20000, tune=3000, chains=3, random_seed=SEED)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with model_frequency:\n", " pm.traceplot(trace_frequency, var_names=[\"spins_missing\"], divergences=False, combined=True);" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with model_frequency:\n", " pm.traceplot(trace_frequency, var_names=[\"theta\"], divergences=False, compact=True, combined=True);" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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frequencyprobability
018.00.114847
119.00.120967
222.00.140020
3NaN0.114844
4NaN0.121021
519.00.120958
620.00.127333
722.00.140010
\n", "
" ], "text/plain": [ " frequency probability\n", "0 18.0 0.114847\n", "1 19.0 0.120967\n", "2 22.0 0.140020\n", "3 NaN 0.114844\n", "4 NaN 0.121021\n", "5 19.0 0.120958\n", "6 20.0 0.127333\n", "7 22.0 0.140010" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data[\"probability\"] = trace_frequency[\"theta\"].mean(axis=0)\n", "data" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.barplot(x=np.arange(1, k+1), y=np.median(trace_frequency[\"data_obs_imputed\"], axis=0));" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/claus/miniconda3/lib/python3.7/site-packages/arviz/plots/forestplot.py:207: MatplotlibDeprecationWarning: \n", "The tick1On function was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use Tick.tick1line.set_visible instead.\n", " ticks.tick1On = False\n", "/Users/claus/miniconda3/lib/python3.7/site-packages/arviz/plots/forestplot.py:208: MatplotlibDeprecationWarning: \n", "The tick2On function was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use Tick.tick2line.set_visible instead.\n", " ticks.tick2On = False\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axes = plt.subplots(4, 2, figsize=(6*2, 4*4))\n", "axes = axes.flatten()\n", "for i in range(k):\n", " pm.plot_posterior(trace_frequency[\"theta\"][:, i], ax=axes[i], round_to=4, ref_val=1/k)\n", " axes[i].set_title(f\"P({i+1})\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.jointplot(trace_frequency[\"theta\"][:, 3], \n", " trace_frequency[\"theta\"][:, 4],\n", " kind=\"hex\", \n", " color=\"k\")\n", "g.ax_joint.axhline(1/k, linestyle=\"dotted\", linewidth=2, color=\"k\")\n", "g.ax_joint.axvline(1/k, linestyle=\"dotted\", linewidth=2, color=\"k\")\n", "g.set_axis_labels(\"theta - missing 4\", \"theta - missing 5\");" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }