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@bwengals
Created March 19, 2017 10:13
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poisson gp regression of old faithful histogram data fitted with pymc3
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:01:53.048482",
"start_time": "2017-03-19T03:01:50.463123"
},
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cmap\n",
"cm = cmap.inferno\n",
"\n",
"import numpy as np\n",
"import scipy as sp\n",
"import theano\n",
"import theano.tensor as tt\n",
"import theano.tensor.nlinalg\n",
"import theano.tensor.slinalg\n",
"import pymc3 as pm"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:01:53.169897",
"start_time": "2017-03-19T03:01:53.110585"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Unnamed: 0</th>\n",
" <th>eruptions</th>\n",
" <th>waiting</th>\n",
" <th>std_waiting</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>3.600</td>\n",
" <td>79</td>\n",
" <td>0.596025</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2</td>\n",
" <td>1.800</td>\n",
" <td>54</td>\n",
" <td>-1.242890</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3</td>\n",
" <td>3.333</td>\n",
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" <td>0.228242</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4</td>\n",
" <td>2.283</td>\n",
" <td>62</td>\n",
" <td>-0.654437</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5</td>\n",
" <td>4.533</td>\n",
" <td>85</td>\n",
" <td>1.037364</td>\n",
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],
"text/plain": [
" Unnamed: 0 eruptions waiting std_waiting\n",
"0 1 3.600 79 0.596025\n",
"1 2 1.800 54 -1.242890\n",
"2 3 3.333 74 0.228242\n",
"3 4 2.283 62 -0.654437\n",
"4 5 4.533 85 1.037364"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"httpdir = 'http://vincentarelbundock.github.io/Rdatasets/csv/datasets/faithful.csv'\n",
"old_faithful_df = pd.read_csv(httpdir)\n",
"#old_faithful_df = get_rdataset('faithful', cache=True).data[['waiting']]\n",
"old_faithful_df['std_waiting'] = (old_faithful_df.waiting - old_faithful_df.waiting.mean()) / old_faithful_df.waiting.std()\n",
"\n",
"old_faithful_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:01:53.498887",
"start_time": "2017-03-19T03:01:53.232095"
},
"collapsed": false
},
"outputs": [
{
"data": {
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62si8LwGvbcOCJI+eoabfoDm8PpOv0Vzs9422ZbsNzQA+U+dUtwSuSzNE5Itn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\nM8glSRowg1ySpAEzyCVJGjCDXJKkAfv/9N74s5+F1bUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4a37b087b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xx = np.linspace(-3,3,41)\n",
"hist, bin_edges = np.histogram(old_faithful_df.std_waiting, bins=xx)\n",
"bincenter = bin_edges[:-1] + np.diff(bin_edges)/2\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"ax.bar(bincenter,hist,.125)\n",
"ax.set_xlabel('Standardized waiting time between eruptions');\n",
"ax.set_ylabel('Number of eruptions');\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:01:54.104085",
"start_time": "2017-03-19T03:01:53.561320"
},
"collapsed": false
},
"outputs": [],
"source": [
"X = bincenter[:,None]\n",
"y = hist[:,None]\n",
"n = len(y) # 40\n",
"jitter = 1e-6\n",
"with pm.Model() as GPmodel:\n",
" # priors on the covariance function hyperparameters\n",
" l = pm.Gamma('l', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # uninformative prior on the function variance\n",
" s2_f = pm.Gamma('s2_f', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # uninformative prior on the noise variance\n",
" s2_n = pm.Gamma('s2_n', alpha=1.,beta=1.,testval=1e-5)\n",
" \n",
" #intercept = pm.Normal(\"intercept\", mu=0.0, sd=50)\n",
" bias = pm.Gamma('bias', alpha=1.,beta=1.,testval=1.0)\n",
" \n",
" # covariance functions for the function f and the noise\n",
" f_cov = s2_f * pm.gp.cov.ExpQuad(1, l) + bias # add 'bias' kernel\n",
" Sigma = f_cov(X) + s2_n * tt.eye(n)\n",
" L = tt.slinalg.cholesky(Sigma + jitter * tt.eye(n)) # add fixed amount of jitter to guarantee numerically stable\n",
" \n",
" v = pm.Normal(\"v\", mu=0.0, sd=1.0, shape=(n,1)) # watch this shape!!!\n",
" f = pm.Deterministic(\"f\", tt.dot(L, v))\n",
" \n",
" y_obs = pm.Poisson('y_obs', mu=pm.math.exp(f), observed=y)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:08:36.923693",
"start_time": "2017-03-19T03:01:54.294219"
},
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using advi...\n",
"Average ELBO = -120.82: 100%|██████████| 200000/200000 [02:08<00:00, 1559.92it/s]\n",
"Finished [100%]: Average ELBO = -120.2\n",
"100%|██████████| 2000/2000 [04:20<00:00, 8.53it/s]\n"
]
}
],
"source": [
"with GPmodel:\n",
" trace = pm.sample(2000)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:08:38.062194",
"start_time": "2017-03-19T03:08:36.989820"
},
"collapsed": false
},
"outputs": [
{
"data": {
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4zOwOjcY2aqKH3Dg3ghk7valnCEfa+tDQPajpQNZ1Dprafyxo6xtGY/dQ0GuJ9NUPt/YZ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R3HOiIqqZkR7/Sa4WMlZ3VpHnKyYquDeoPEaJxo+Ucug4VlVmzFzG7QmjPbVtPQhd3Hrct0m1U+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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f49fe085320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, varnames=['l', 's2_f', 's2_n', 'bias'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:08:39.898934",
"start_time": "2017-03-19T03:08:38.123986"
},
"collapsed": false
},
"outputs": [],
"source": [
"samples = 100\n",
"indices = np.random.randint(0, len(trace), samples)\n",
"Z = X\n",
"tri_solve = tt.slinalg.Solve(\"lower_triangular\", lower=True)\n",
"with GPmodel:\n",
" S = f_cov(X, X) + s2_n * tt.eye(n)\n",
" S_xz = f_cov(X, Z)\n",
" S_zz = f_cov(Z, Z)\n",
" \n",
" A = tri_solve(L, S_xz)\n",
" S_post = S_zz - tt.dot(tt.transpose(A), A) + jitter * tt.eye(n)\n",
" mu_post = tt.dot(tt.transpose(A), v).T\n",
"\n",
" gp_post = pm.MvNormal.dist(mu_post, S_post, shape=Z.shape[0])\n",
" samples = [gp_post.random(point=trace[idx]) for idx in indices]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-03-19T03:08:40.436149",
"start_time": "2017-03-19T03:08:39.960554"
},
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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00UfR3NwMwK3olp3N6I0x8/s7dYoikpZGCfF6WejgyBGgsRHYupUCcuedPOf+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\nktWKNau8HIRncBD7rKpCHdC8ecIZYbXCAVFejmdNURGiRfysCIchFuT1Y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"text/plain": [
"<matplotlib.figure.Figure at 0x7f49fd0a27f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gp_samples=np.exp(np.array(samples))\n",
"la_samples = np.array(samples)\n",
"\n",
"fig, ax = plt.subplots(figsize=(14,5))\n",
"[ax.plot(Z.flatten(), x.flatten(), color='b', alpha=0.3) for x in gp_samples]\n",
"# overlay the observed data\n",
"ax.plot(bincenter, hist, 'ok', ms=10);\n",
"ax.set_xlabel(\"x\");\n",
"ax.set_ylabel(\"f(x)\");\n",
"ax.set_title(\"Posterior predictive distribution\");"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
@junpenglao
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Thanks a lot @bwengals!
So basically instead of using a pm.MvNormal here you used a standard normal with the covariance function to represent the GP?

@bwengals
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Author

bwengals commented Mar 20, 2017

@junpenglao

kind of, the two implementations are mathematically equivalent, but this trick makes it easier to do inference on. GPflow does this under the hood for their HMC routine. They have a nice example of this here.

Implementing the gp directly looks like this:

K = covariance matrix
f ~ N(0, K)
y ~ Poisson(lambda = f)

or it can be reparameterized like this:

L = cholesky(K)
v ~ N(0, I)
f ~ Lv 
y ~ Poisson(lambda = f)

It's the same mathematically, since K = LL^T. It's like the procedure for drawing samples from a multivariate normal, N(mu, K), using the Cholesky decomposition, which is:

L = cholesky(K)
v ~ N(0, I)
sample ~ mu + Lv

This trick makes inference easier because you are estimating v, and not f. v will have much fewer tricky covariances than f. And you should already have the Cholesky factor L around, so that's nice too.

@junpenglao
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Thanks for the explanation! It would be great if this is implemented in PyMC3 as default - as the sampling using MvNormal all seems to be a bit slow generally.

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