{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Types of learning and MCMC\n", "\n", "##### Keywords: supervised learning, semi-supervised learning, unsupervised learning, mixture model, gaussian mixture model, pymc3, label-switching, identifiability, normal distribution, pymc3 potentials\n", "\n", "We now do a study of learning mixture models with MCMC. We have already done this in the case of the Zero-Inflated Poisson Model, and will stick to Gaussian Mixture models for now." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib as mpl\n", "import matplotlib.cm as cm\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)\n", "pd.set_option('display.notebook_repr_html', True)\n", "import seaborn as sns\n", "sns.set_style(\"whitegrid\")\n", "sns.set_context(\"poster\")\n", "import pymc3 as pm\n", "import theano.tensor as tt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supervised and semi-supervised Learning\n", "\n", "In other notes, we used mixture models to categorize the various types of learning. The key difference was how we wrote the likelihoods. Lets use those likelihoods to untertake sampling in supervised and semi-supervised ways. We have already seen unsupervised sampling\n", "\n", "We'll use the heights-weights data set as we do have a story for why these outght to be separately gaussianly distributed for men and women." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Gender Height Weight\n", "0 Male 73.847017 241.893563\n", "1 Male 68.781904 162.310473\n", "2 Male 74.110105 212.740856\n", "3 Male 71.730978 220.042470\n", "4 Male 69.881796 206.349801" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df=pd.read_csv(\"data/01_heights_weights_genders.csv\")\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Height Weight\n", "count 10000.000000 10000.000000\n", "mean 66.367560 161.440357\n", "std 3.847528 32.108439\n", "min 54.263133 64.700127\n", "25% 63.505620 135.818051\n", "50% 66.318070 161.212928\n", "75% 69.174262 187.169525\n", "max 78.998742 269.989699" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A KDEplot confirms our intuition" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(df.Weight, df.Height)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To keep things simple, we'll keep to one dimension by sticking with the weight marginal. Plotting it, there definitely seems to be a double humped distribution:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(df.Weight)\n", "plt.hist(df.Weight, bins=100, alpha=0.2, normed=True);" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10000, 3)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do the train-test split. Notice we will keep a very small number of points in the training set." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [], "source": [ "makesmall=np.random.choice(range(df.shape[0]), size=500, replace=False)\n", "datax=df.Weight.values\n", "dataz=1*(df.Gender=='Male')\n", "datax=datax[makesmall]\n", "dataz=dataz.values[makesmall]\n", "from sklearn.model_selection import train_test_split\n", "itr, ite = train_test_split(range(dataz.shape[0]), train_size=0.04, stratify=dataz)\n", "xte=datax[ite]\n", "xtr=datax[itr]\n", "zte=dataz[ite]\n", "ztr=dataz[itr]\n" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "((480,), 0.48749999999999999, 0.5, (20,))" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zte.shape, zte.mean(), ztr.mean(), ztr.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use 2-D categoricals to make cluster assignments. Notice that these training assignments are also observed stochastics now, in addition to the $x$. " ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with pm.Model() as classmodel1:\n", " p1 = pm.Uniform('p', 0, 1)\n", " p2 = 1 - p1\n", " p = tt.stack([p1, p2])\n", " #Notice the \"observed\" below\n", " assignment_tr = pm.Categorical(\"assignment_tr\", p, \n", " observed=ztr)\n", " sds = pm.Uniform(\"sds\", 0, 100, shape=2)\n", " centers = pm.Normal(\"centers\", \n", " mu=np.array([130, 170]), \n", " sd=np.array([20, 20]), \n", " shape=2)\n", " p_min_potential = pm.Potential('lam_min_potential', tt.switch(tt.min(p) < .1, -np.inf, 0))\n", " order_centers_potential = pm.Potential('order_centers_potential',\n", " tt.switch(centers[1]-centers[0] < 0, -np.inf, 0))\n", " \n", " # and to combine it with the observations:\n", " observations = pm.Normal(\"obs\", mu=centers[assignment_tr], sd=sds[assignment_tr], observed=xtr)\n", " " ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">Metropolis: [centers]\n", ">Metropolis: [sds_interval__]\n", ">Metropolis: [p_interval__]\n", "100%|██████████| 10500/10500 [00:05<00:00, 1864.73it/s]\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with classmodel1:\n", " step1 = pm.Metropolis(vars=[p, sds, centers])\n", " trace_cm1_full = pm.sample(10000, step=[step1], njobs=2)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trace_cm1 = trace_cm1_full[2000::5]\n", "pm.traceplot(trace_cm1);" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(trace_cm1);" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "center_trace = trace_cm1[\"centers\"]\n", "std_trace = trace_cm1[\"sds\"]\n", "#identify the clusters\n", "colors = [\"#348ABD\", \"#A60628\"] \\\n", "if center_trace[-1, 0] > center_trace[-1, 1] \\\n", " else [\"#A60628\", \"#348ABD\"]\n", "norm = sp.stats.norm\n", "x = np.arange(0, 300, 1)\n", "posterior_center_means = center_trace.mean(axis=0)\n", "posterior_std_means = std_trace.mean(axis=0)\n", "posterior_p_mean = 1 - ztr.mean()\n", "\n", "\n", "y = posterior_p_mean * norm.pdf(x, loc=posterior_center_means[0],\n", " scale=posterior_std_means[0])\n", "plt.plot(x, y, label=\"Cluster 0 (using posterior-mean parameters)\", color=colors[1], lw=3)\n", "plt.fill_between(x, y, color=colors[1], alpha=0.3)\n", "\n", "y = (1 - posterior_p_mean) * norm.pdf(x, loc=posterior_center_means[1],\n", " scale=posterior_std_means[1])\n", "plt.plot(x, y, label=\"Cluster 1 (using posterior-mean parameters)\", color=colors[0], lw=3)\n", "plt.fill_between(x, y, color=colors[0], alpha=0.3)\n", "plt.hist(xtr, bins=10, histtype=\"step\", normed=True, color=\"k\",\n", " lw=2, label=\"histogram of training data\")\n", "# plt.hist(xte, bins=20, histtype=\"step\", normed=True, color=\"k\",\n", "# lw=2, label=\"histogram of test data\")\n", "plt.legend(loc=\"upper right\")\n", "plt.title(\"Visualizing Clusters using posterior-mean parameters\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the $p(x \\vert z)$ to do our classification. What we really want is $p(z \\vert x)$, but we can use bayes theorem to inver this, as shown in the diagram below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "![gen and dis](images/bishopgendis.png)\n", "\n" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[223, 23],\n", " [ 13, 221]])" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xgivenz0 = lambda x: norm.pdf(x, loc=posterior_center_means[0],\n", " scale=posterior_std_means[0])\n", "xgivenz1 = lambda x: norm.pdf(x, loc=posterior_center_means[1],\n", " scale=posterior_std_means[1])\n", "zpred1 = 1*(xgivenz1(xte) > xgivenz0(xte))\n", "from sklearn.metrics import confusion_matrix, accuracy_score\n", "confusion_matrix(zte, zpred1)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.92500000000000004" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "accuracy_score(zte, zpred1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Semi-Supervised Learning\n", "\n", "In the previous section we did the work on the testing set separately. Here we'd like to model the fact that we have a partial likelihood available for the testing set: we have observed the $x$s, but not the $z$s.\n", "\n", "Thus in our model we will include both training and testing $x$s, but only training $z$s as observations, fitting for the testing $z$s.\n", "We now want the trace of the testing assignments. That is we want $p(z \\vert x)$ and we'll use the MCMC model to do the whole bayes theorem inversion for us!" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with pm.Model() as classmodel2:\n", " p1 = pm.Uniform('p', 0, 1)\n", " p2 = 1 - p1\n", " p = tt.stack([p1, p2])\n", " assignment_tr = pm.Categorical(\"assignment_tr\", p, \n", " observed=ztr)\n", " # we do not know the test assignments\n", " assignment_te = pm.Categorical(\"assignment_te\", p, \n", " shape=xte.shape[0])\n", " sds = pm.Uniform(\"sds\", 0, 100, shape=2)\n", " centers = pm.Normal(\"centers\", \n", " mu=np.array([130, 170]), \n", " sd=np.array([20, 20]), \n", " shape=2)\n", " p_min_potential = pm.Potential('lam_min_potential', tt.switch(tt.min(p) < .1, -np.inf, 0))\n", " order_centers_potential = pm.Potential('order_centers_potential',\n", " tt.switch(centers[1]-centers[0] < 0, -np.inf, 0))\n", " \n", " # and to combine it with the observations:\n", " observations_tr = pm.Normal(\"obs_tr\", mu=centers[assignment_tr], sd=sds[assignment_tr], observed=xtr)\n", " observations_te = pm.Normal(\"obs_te\", mu=centers[assignment_te], sd=sds[assignment_te], observed=xte)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/ipykernel_launcher.py:3: DeprecationWarning: ElemwiseCategorical is deprecated, switch to CategoricalGibbsMetropolis.\n", " This is separate from the ipykernel package so we can avoid doing imports until\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">CompoundStep\n", ">>Metropolis: [centers]\n", ">>Metropolis: [sds_interval__]\n", ">>Metropolis: [p_interval__]\n", ">ElemwiseCategorical: [assignment_te]\n", "100%|██████████| 15500/15500 [03:07<00:00, 82.60it/s]\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] } ], "source": [ "with classmodel2:\n", " step1 = pm.Metropolis(vars=[p, sds, centers])\n", " step2 = pm.ElemwiseCategorical(vars=[assignment_te])\n", " trace_cm2_full = pm.sample(15000, step=[step1, step2])" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
assignment_te__00.0025330.0502680.0003240.0000000.00000028072.00.999982
assignment_te__10.0027000.0518910.0003700.0000000.00000030000.01.000017
assignment_te__20.3482670.4764210.0059420.0000001.0000007151.01.000092
assignment_te__30.9934330.0807680.0004931.0000001.00000029885.00.999967
assignment_te__40.3569330.4790950.0060230.0000001.0000007371.00.999968
assignment_te__50.0009000.0299860.0001690.0000000.00000030000.00.999968
assignment_te__60.0027000.0518910.0002930.0000000.00000027560.00.999967
assignment_te__70.0813330.2733460.0027490.0000001.00000012044.00.999967
assignment_te__80.0004000.0199960.0001180.0000000.00000025748.01.000067
assignment_te__90.0001670.0129090.0000730.0000000.00000030000.00.999973
assignment_te__100.9981000.0435480.0002681.0000001.00000029204.00.999995
assignment_te__110.0061000.0778640.0005250.0000000.00000028606.00.999989
assignment_te__120.9977000.0479030.0002571.0000001.00000028382.00.999990
assignment_te__130.0452330.2078150.0016900.0000000.00000019230.00.999976
assignment_te__140.0023670.0485910.0003280.0000000.00000024049.01.000046
assignment_te__150.9951330.0695920.0003961.0000001.00000028033.01.000025
assignment_te__160.0017000.0411960.0002560.0000000.00000030000.00.999973
assignment_te__170.9773000.1489450.0011221.0000001.00000019770.00.999969
assignment_te__180.9994670.0230880.0001311.0000001.00000030000.00.999975
assignment_te__190.0129670.1131310.0008920.0000000.00000021124.00.999974
assignment_te__200.0319000.1757340.0016110.0000000.00000013911.00.999970
assignment_te__210.9967330.0570610.0003401.0000001.00000029198.00.999972
assignment_te__220.0042330.0649260.0003590.0000000.00000030000.00.999980
assignment_te__230.8822330.3223320.0029700.0000001.00000012202.00.999969
assignment_te__240.0004670.0215970.0001250.0000000.00000030000.00.999967
assignment_te__250.9978000.0468530.0002551.0000001.00000030000.00.999975
assignment_te__260.0130330.1134170.0007920.0000000.00000027063.00.999986
assignment_te__270.0181330.1334340.0010630.0000000.00000022463.00.999997
assignment_te__280.9967000.0573510.0003421.0000001.00000023843.00.999983
assignment_te__290.6533670.4758980.0058250.0000001.0000006356.01.000146
........................
assignment_te__4550.9994670.0230880.0001471.0000001.00000030000.01.000000
assignment_te__4560.9994670.0230880.0001221.0000001.00000030000.00.999975
assignment_te__4570.0000000.0000000.0000000.0000000.00000030000.0NaN
assignment_te__4580.9740330.1590360.0010791.0000001.00000024994.00.999968
assignment_te__4590.0018670.0431650.0002800.0000000.00000029178.01.000026
assignment_te__4600.8912670.3113040.0029640.0000001.00000015793.01.000008
assignment_te__4610.9749330.1563280.0011061.0000001.00000022775.01.000055
assignment_te__4620.0047670.0688760.0005230.0000000.00000029477.01.000113
assignment_te__4630.5442670.4980370.0061150.0000001.0000006374.01.000008
assignment_te__4640.8265330.3786500.0034470.0000001.00000011093.01.000141
assignment_te__4650.9768330.1504330.0011561.0000001.00000022704.00.999969
assignment_te__4660.0015330.0391280.0002380.0000000.00000030000.00.999970
assignment_te__4670.0035000.0590570.0004300.0000000.00000028636.01.000038
assignment_te__4680.0002670.0163280.0000900.0000000.00000030000.01.000033
assignment_te__4690.2542000.4354110.0055590.0000001.0000006911.01.000004
assignment_te__4700.9784000.1453730.0009861.0000001.00000024908.01.000021
assignment_te__4710.6321670.4822160.0061950.0000001.0000006355.00.999973
assignment_te__4720.0002000.0141410.0000920.0000000.00000030000.00.999989
assignment_te__4731.0000000.0000000.0000001.0000001.00000030000.0NaN
assignment_te__4740.0001330.0115460.0000650.0000000.00000030000.01.000000
assignment_te__4750.9983000.0411960.0002811.0000001.00000029067.00.999967
assignment_te__4760.0169670.1291460.0010010.0000000.00000022061.00.999986
assignment_te__4770.9999330.0081650.0000471.0000001.00000030000.01.000033
assignment_te__4780.2057000.4042120.0048510.0000001.0000006375.00.999970
assignment_te__4790.9629670.1888430.0013941.0000001.00000015035.00.999968
centers__0133.5142641.7775520.070120130.176436137.083078463.01.000104
centers__1189.5598561.9422760.081149185.929568193.411621428.00.999968
p0.5172600.0335180.0012510.4527660.582704580.00.999972
sds__018.2860381.2175780.04275115.77871020.579906783.00.999990
sds__117.9347861.3459610.05376415.34439920.467248497.01.000131
\n", "

485 rows × 7 columns

\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "assignment_te__0 0.002533 0.050268 0.000324 0.000000 0.000000 28072.0 0.999982\n", "assignment_te__1 0.002700 0.051891 0.000370 0.000000 0.000000 30000.0 1.000017\n", "assignment_te__2 0.348267 0.476421 0.005942 0.000000 1.000000 7151.0 1.000092\n", "assignment_te__3 0.993433 0.080768 0.000493 1.000000 1.000000 29885.0 0.999967\n", "assignment_te__4 0.356933 0.479095 0.006023 0.000000 1.000000 7371.0 0.999968\n", "assignment_te__5 0.000900 0.029986 0.000169 0.000000 0.000000 30000.0 0.999968\n", "assignment_te__6 0.002700 0.051891 0.000293 0.000000 0.000000 27560.0 0.999967\n", "assignment_te__7 0.081333 0.273346 0.002749 0.000000 1.000000 12044.0 0.999967\n", "assignment_te__8 0.000400 0.019996 0.000118 0.000000 0.000000 25748.0 1.000067\n", "assignment_te__9 0.000167 0.012909 0.000073 0.000000 0.000000 30000.0 0.999973\n", "assignment_te__10 0.998100 0.043548 0.000268 1.000000 1.000000 29204.0 0.999995\n", "assignment_te__11 0.006100 0.077864 0.000525 0.000000 0.000000 28606.0 0.999989\n", "assignment_te__12 0.997700 0.047903 0.000257 1.000000 1.000000 28382.0 0.999990\n", "assignment_te__13 0.045233 0.207815 0.001690 0.000000 0.000000 19230.0 0.999976\n", "assignment_te__14 0.002367 0.048591 0.000328 0.000000 0.000000 24049.0 1.000046\n", "assignment_te__15 0.995133 0.069592 0.000396 1.000000 1.000000 28033.0 1.000025\n", "assignment_te__16 0.001700 0.041196 0.000256 0.000000 0.000000 30000.0 0.999973\n", "assignment_te__17 0.977300 0.148945 0.001122 1.000000 1.000000 19770.0 0.999969\n", "assignment_te__18 0.999467 0.023088 0.000131 1.000000 1.000000 30000.0 0.999975\n", "assignment_te__19 0.012967 0.113131 0.000892 0.000000 0.000000 21124.0 0.999974\n", "assignment_te__20 0.031900 0.175734 0.001611 0.000000 0.000000 13911.0 0.999970\n", "assignment_te__21 0.996733 0.057061 0.000340 1.000000 1.000000 29198.0 0.999972\n", "assignment_te__22 0.004233 0.064926 0.000359 0.000000 0.000000 30000.0 0.999980\n", "assignment_te__23 0.882233 0.322332 0.002970 0.000000 1.000000 12202.0 0.999969\n", "assignment_te__24 0.000467 0.021597 0.000125 0.000000 0.000000 30000.0 0.999967\n", "assignment_te__25 0.997800 0.046853 0.000255 1.000000 1.000000 30000.0 0.999975\n", "assignment_te__26 0.013033 0.113417 0.000792 0.000000 0.000000 27063.0 0.999986\n", "assignment_te__27 0.018133 0.133434 0.001063 0.000000 0.000000 22463.0 0.999997\n", "assignment_te__28 0.996700 0.057351 0.000342 1.000000 1.000000 23843.0 0.999983\n", "assignment_te__29 0.653367 0.475898 0.005825 0.000000 1.000000 6356.0 1.000146\n", "... ... ... ... ... ... ... ...\n", "assignment_te__455 0.999467 0.023088 0.000147 1.000000 1.000000 30000.0 1.000000\n", "assignment_te__456 0.999467 0.023088 0.000122 1.000000 1.000000 30000.0 0.999975\n", "assignment_te__457 0.000000 0.000000 0.000000 0.000000 0.000000 30000.0 NaN\n", "assignment_te__458 0.974033 0.159036 0.001079 1.000000 1.000000 24994.0 0.999968\n", "assignment_te__459 0.001867 0.043165 0.000280 0.000000 0.000000 29178.0 1.000026\n", "assignment_te__460 0.891267 0.311304 0.002964 0.000000 1.000000 15793.0 1.000008\n", "assignment_te__461 0.974933 0.156328 0.001106 1.000000 1.000000 22775.0 1.000055\n", "assignment_te__462 0.004767 0.068876 0.000523 0.000000 0.000000 29477.0 1.000113\n", "assignment_te__463 0.544267 0.498037 0.006115 0.000000 1.000000 6374.0 1.000008\n", "assignment_te__464 0.826533 0.378650 0.003447 0.000000 1.000000 11093.0 1.000141\n", "assignment_te__465 0.976833 0.150433 0.001156 1.000000 1.000000 22704.0 0.999969\n", "assignment_te__466 0.001533 0.039128 0.000238 0.000000 0.000000 30000.0 0.999970\n", "assignment_te__467 0.003500 0.059057 0.000430 0.000000 0.000000 28636.0 1.000038\n", "assignment_te__468 0.000267 0.016328 0.000090 0.000000 0.000000 30000.0 1.000033\n", "assignment_te__469 0.254200 0.435411 0.005559 0.000000 1.000000 6911.0 1.000004\n", "assignment_te__470 0.978400 0.145373 0.000986 1.000000 1.000000 24908.0 1.000021\n", "assignment_te__471 0.632167 0.482216 0.006195 0.000000 1.000000 6355.0 0.999973\n", "assignment_te__472 0.000200 0.014141 0.000092 0.000000 0.000000 30000.0 0.999989\n", "assignment_te__473 1.000000 0.000000 0.000000 1.000000 1.000000 30000.0 NaN\n", "assignment_te__474 0.000133 0.011546 0.000065 0.000000 0.000000 30000.0 1.000000\n", "assignment_te__475 0.998300 0.041196 0.000281 1.000000 1.000000 29067.0 0.999967\n", "assignment_te__476 0.016967 0.129146 0.001001 0.000000 0.000000 22061.0 0.999986\n", "assignment_te__477 0.999933 0.008165 0.000047 1.000000 1.000000 30000.0 1.000033\n", "assignment_te__478 0.205700 0.404212 0.004851 0.000000 1.000000 6375.0 0.999970\n", "assignment_te__479 0.962967 0.188843 0.001394 1.000000 1.000000 15035.0 0.999968\n", "centers__0 133.514264 1.777552 0.070120 130.176436 137.083078 463.0 1.000104\n", "centers__1 189.559856 1.942276 0.081149 185.929568 193.411621 428.0 0.999968\n", "p 0.517260 0.033518 0.001251 0.452766 0.582704 580.0 0.999972\n", "sds__0 18.286038 1.217578 0.042751 15.778710 20.579906 783.0 0.999990\n", "sds__1 17.934786 1.345961 0.053764 15.344399 20.467248 497.0 1.000131\n", "\n", "[485 rows x 7 columns]" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_cm2_full)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this is partially an unsupervized scenario, it takes much longer to sample, and we stop sampling even though there is some correlation left over" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trace_cm2 = trace_cm2_full[5000::5]\n", "pm.traceplot(trace_cm2, varnames=['centers', 'p', 'sds']);" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(trace_cm2, varnames=['centers', 'p', 'sds']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is still quite a bit of autocorrelation and we might want to sample longer. But let us see how we did." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "assign_trace = trace_cm2['assignment_te']" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[233, 13],\n", " [ 17, 217]])" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zpred2=1*(assign_trace.mean(axis=0) > 0.5)\n", "confusion_matrix(zte, zpred2)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.9375" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "accuracy_score(zte, zpred2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The accuracy has improved just by having some additional terms in the likelihood!" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "cmap = mpl.colors.LinearSegmentedColormap.from_list(\"BMH\", colors)\n", "plt.scatter(xte, 1 - assign_trace.mean(axis=0), cmap=cmap,\n", " c=assign_trace.mean(axis=0), s=10)\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlim(35, 300)\n", "plt.title(\"Probability of data point belonging to cluster 0\")\n", "plt.ylabel(\"probability\")\n", "plt.xlabel(\"value of data point\")" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }