{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#A Brief Guide of Using Hybrid Monte Carlo for Gaussian Process Models\n", "\n", "### Zhenwen Dai and Mu Niu, November 2014" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import GPy\n", "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1 HMC Inference for GP Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's first generate some synthetic data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's make some synthetic data\n", "x = np.linspace(0.,2*np.pi,100)[:,None]\n", "y = -cos(x)+np.random.randn(*x.shape)*0.3+1\n", "_ = plot(x,y,'.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us Make a GP Regression model and give some general prior distributions to model parameters." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: reconstraining parameters GP_regression.rbf.lengthscale\n", "WARNING: reconstraining parameters GP_regression.rbf.variance\n", "WARNING: reconstraining parameters GP_regression.Gaussian_noise.variance\n" ] }, { "data": { "image/png": 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RV1Xm5d+vuYDHN33Ab556mwOxcnYdivHpq/45o/cyVz4bIntkYmgxKA0NDaxY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\nMFJ9vGhSNcW2rbEBwzBwOhx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LUQAcDoNRNaWMomvuW+PL08E7ErQ7xBNJzKRJic/JxNEy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\nj/w/1eY1Z4TzGkIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a GP regression model\n", "m = GPy.models.GPRegression(x,y)\n", "# Give some general prior distributions for model parameters\n", "m.kern.lengthscale.set_prior(GPy.priors.Gamma.from_EV(1.,10.))\n", "m.kern.variance.set_prior(GPy.priors.Gamma.from_EV(1.,10.))\n", "m.likelihood.variance.set_prior(GPy.priors.Gamma.from_EV(1.,10.))\n", "_=m.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Sampling the posterior distribution of model parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw 1000 samples from the GP model" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hmc = GPy.inference.mcmc.HMC(m,stepsize=5e-2)\n", "s = hmc.sample(num_samples=1000) # Burnin\n", "s = hmc.sample(num_samples=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the samples:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FDzyzNLuAS5J7BaetWOAeD7BrV/NcjxGNio7TTEGI+UyazeFCYUZBdXXq57Cib19g8GC6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\n9VUqN3QDPqHz9xsZMqyM1KumG5Jw4ObnMf6M8Yl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the posterior marginal distribution of model parameters:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = ['kern variance', 'kern lengthscale','noise variance']\n", "samples = s[300:] # cut out the burn-in period\n", "from scipy import stats\n", "xmin = samples.min()\n", "xmax = samples.max()\n", "xs = np.linspace(xmin,xmax,100)\n", "for i in xrange(samples.shape[1]):\n", " kernel = stats.gaussian_kde(samples[:,i])\n", " plot(xs,kernel(xs),label=labels[i])\n", "_ = legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the model parameters (lengthscale, variance and noise variance) against each other:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mYFaUm58fTicyOmunS/pEjYH5eTnO9bV1atzpwdFTpwaDpQsL7rOctpmgtDM+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\nqw1bRkoa6uZk1N0xt2H2X6qzjHWF1js9w/TjMZ0bM/VsdDR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SJEnSVHPQI0mS\nJGmq/Q+7AxOprcgTkQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure(figsize=(14,4))\n", "ax = fig.add_subplot(131)\n", "_=ax.plot(samples[:,0],samples[:,1],'.')\n", "ax.set_xlabel(labels[0]); ax.set_ylabel(labels[1])\n", "ax = fig.add_subplot(132)\n", "_=ax.plot(samples[:,1],samples[:,2],'.')\n", "ax.set_xlabel(labels[1]); ax.set_ylabel(labels[2])\n", "ax = fig.add_subplot(133)\n", "_=ax.plot(samples[:,0],samples[:,2],'.')\n", "ax.set_xlabel(labels[0]); ax.set_ylabel(labels[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By setting the model parameters to the posterior mean, we can visualize the model fit:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : GP regression\n", "Objective : 39.2970574179\n", "Number of Parameters : 3\n", "Number of Optimization Parameters : 3\n", "Updates : True\n", "Parameters:\n", " \u001b[1mGP_regression. \u001b[0;0m | value | constraints | priors \n", " \u001b[1mrbf.variance \u001b[0;0m | 1.41818926221 | +ve | Ga(0.1, 0.1)\n", " \u001b[1mrbf.lengthscale \u001b[0;0m | 1.53693651461 | +ve | Ga(0.1, 0.1)\n", " \u001b[1mGaussian_noise.variance\u001b[0;0m | 0.0920819762721 | +ve | Ga(0.1, 0.1)\n" ] }, { "data": { "image/png": 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thqpSJ7sPeJAVtd8Byu6u3Q03LGb137/i1Y92cc+zG7nzyjOYND79Hi6SJGG3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\ndditBox6Xa9BNFVViURlAqE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the model parameters as the posterior mean\n", "m.kern.variance[:] = samples[:,0].mean()\n", "m.kern.lengthscale[:] = samples[:,1].mean()\n", "m.likelihood.variance[:] = samples[:,2].mean()\n", "print m\n", "_=m.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sample the posterior distribution of X given some new Y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given some new observations, inferring the posterior distribution of the corresponding inputs is difficult, because it can lead to multi-modal distributions. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assume we have a new observation $1.5$, and try to infer its input distribution." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "y_new = np.array([1.5])[:,None]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate the inference model for the new observations. X_new are the MAP estimations by optimizing the log likelihood. As plotted with a red dot, the MAP estimation corresponds to only one of the modes." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : inferenceX\n", "Objective : -12.192425512\n", "Number of Parameters : 1\n", "Number of Optimization Parameters : 1\n", "Updates : True\n", "Parameters:\n", " \u001b[1minferenceX.\u001b[0;0m | value | constraints | priors\n", " \u001b[1mlatent mean\u001b[0;0m | [ 2.11646619] | | \n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LljBjxgx27PiIHTs+Oiog+IuHn2GXtwhJkqi0tPOPP/2W2lJtD4E4NqBos9nS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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_new,mi = m.infer_newX(y_new)\n", "print mi\n", "m.plot()\n", "plot(x_new,y_new,'or')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw 10,000 samples from the inference model:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hmc_new = GPy.inference.mcmc.HMC(mi,stepsize=2e-1)\n", "s_new = hmc_new.sample(num_samples=10000,hmc_iters=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the samples:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HkRdJHteiVeSEkKEAMJRSOgkABhJCNpHv51coV9dKRwHrph5CAK65BuDoo+O1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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plot(s_new[:,:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the marginal distribution of inferred inputs. The two modes of inputs are clearly visible from the sampled posterior distribution." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy import stats\n", "samples_new = s_new[:]\n", "xmin = samples_new.min()\n", "xmax = samples_new.max()\n", "xs = np.linspace(xmin,xmax,100)\n", "for i in xrange(samples_new.shape[1]):\n", " kernel = stats.gaussian_kde(samples_new[:,i])\n", " plot(xs,kernel(xs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example 2 HMC for lengthscale and variance with marathon data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### we set prior for lengthscale and variance of kernel. The mean of the prior is close to the result of GP optimisation. we then allow a big variance. In the case below,we set gamma prior to lengthscale and variance. E(lengthscale) = 120, Var(lengthscale)=2000, E(variance) = 25, Var(variance) = 150 " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: reconstraining parameters GP_regression.rbf.variance\n", "WARNING: reconstraining parameters GP_regression.rbf.lengthscale\n", "\n", "Name : GP regression\n", "Objective : 15.5939533439\n", "Number of Parameters : 3\n", "Number of Optimization Parameters : 3\n", "Updates : True\n", "Parameters:\n", " \u001b[1mGP_regression. \u001b[0;0m | value | constraints | priors \n", " \u001b[1mrbf.variance \u001b[0;0m | 25.3995048123 | +ve | Ga(4.2, 0.17)\n", " \u001b[1mrbf.lengthscale \u001b[0;0m | 152.045313268 | +ve | Ga(7.2, 0.06)\n", " \u001b[1mGaussian_noise.variance\u001b[0;0m | 0.0485064747583 | +ve | \n" ] }, { "data": { "image/png": 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KHh7f+C6xpAnArDNGc/38s5g+IVSUMvQkkUyhHYfKgIdRtUEZ3i9KUmt7kqOR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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = GPy.examples.regression.olympic_marathon_men()\n", "#\n", "#set prior for lengthscale and variance.\n", "m.kern.variance.set_prior(GPy.priors.Gamma.from_EV(25.,150.))\n", "m.kern.lengthscale.set_prior(GPy.priors.Gamma.from_EV(120.,2000.))\n", "print m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run HMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### we plot the full length of hmc iteration. The first 5000 could be burn in stage and can be ignored. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2+CJ0nPXOvTtDcce8dp+eX7p5qecc3z986GgVRA5/xZYVRmFmw3I0vDVEUHw2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\nbEiJ+KaOZVm9Sk7n4SbQHGEWEpls99139XLSV17xnhMHFf3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# initialise hmc\n", "hmc = GPy.inference.mcmc.HMC(m,stepsize=2e-1)\n", "# run hmc\n", "t = hmc.sample(num_samples=20000,hmc_iters=20)\n", "\n", "# Sample parameters \n", "#hmc = GPy.inference.optimization.HMC(m, stepsize=5e-1)\n", "#t = hmc.sample(m_iters=50000,hmc_iters=20)\n", "\n", "_=plot(t)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.34246741e+01 1.25455721e+02 5.32988933e-02]\n", "[ 1.06955975e+01 3.11140579e+01 1.72613018e-02]\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print t.mean(axis=0)\n", "print t.std(axis=0)\n", "_=hist(t[:,:2],50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn\n", "Using Seaborn for plotting distributions over Hyperparameters:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import seaborn as sns, pandas as pd\n", "plt.rcParams['text.usetex'] = False" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hq9XO2by8PHbs2AHA4sWLGTp0aNO2zZs38+CDD2K32xk9ejQzZswAYPny5bz3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\nl0QilBK6BVl1UBzAkCGNAPzzn9ZMhLE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame(t, columns=m.parameter_names_flat())\n", "ax = sns.kdeplot(df['rbf.variance'],\n", " color=\"b\", shade=True, shade_lowest=False)\n", "ax = sns.kdeplot(df['rbf.lengthscale'],\n", " color=\"r\", shade=True, shade_lowest=False)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NhBWff2XlcHLOFsg7AvmcQN42/885AgVHoFzKo5Cz4n95x0IhJ5BP/W1bHJwzcMbAGOL/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OELYpJIJFZ6CfYdXMH2uRZaDR+y0JCcKJkWVmKs9FJcfcUE4jTHcjcxkGoOzxFQpr7UbnoEFlAa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\nSYkyHWpk1JAr4ymSEWEYX79+rUZPV0MJebwQEpdrpwo0nEXBN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set(style=\"white\", color_codes=True)\n", "_ = sns.jointplot(data=df, x='rbf.variance', y='rbf.lengthscale', kind=\"hex\", \n", " marginal_kws=dict(kde=True, hist=True, kde_kws=dict(shade=False)),\n", " stat_func=None\n", " )" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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rbf.variancerbf.lengthscaleGaussian_noise.variance
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2848.870969127.8561580.034672
2947.474023127.5179050.053423
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20000 rows × 3 columns

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