{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian Linear Regression\n", "\n", "Bishop, C.M. (2006), Pattern Recognition and Machine Learning, Springer Science+Business Media, New York. https://www.microsoft.com/en-us/research/people/cmbishop/ \n", "\n", "Example taken from section 3.3." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# %load std_ipython_import.txt\n", "import pandas as pd\n", "import scipy.stats as stats\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pymc3 as pmc\n", "\n", "pd.set_option('display.notebook_repr_html', False)\n", "\n", "%matplotlib inline\n", "%config InlineBackend.figure_formats = {'retina',}\n", "plt.style.use('seaborn-white')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate data\n", "\n", "- Consider single input variable $x$ and output variable $t$ and model \n", "\n", "### $$y(x,\\textbf{w}) = w_0 + w_1x$$\n", "\n", "- Select $x_n$ from the uniform distribution where $x_n$ between -1 and 1.\n", "\n", "\n", "- Create data using the function $f(x,a) = a_0 + a_1x \\,$ where $a_0 = -0.3$ and $a_1 = 0.5$\n", "\n", "\n", "\n", "- Add Gaussian noise with standard deviation 0.2 to obtain target values $t_n$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Constants\n", "size = 20\n", "a = [-0.3, 0.5]\n", "sd = .2\n", "alpha = 2.\n", "beta = 1./(sd**2)\n", "\n", "# grid for plotting\n", "g_min = -1.5\n", "g_max = 1.5\n", "step = 100\n", "xx, yy = np.meshgrid(np.linspace(g_min,g_max,step), np.linspace(g_min,g_max,step))\n", "grid = np.c_[xx.ravel(), yy.ravel()]\n", "\n", "x_ = np.linspace(g_min,g_max,step).reshape(-1,1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZsGABwCmfLyoqiqioKPbv38+3337Lhg0bWLduHV9//TXr16+3h7EknSMMjCVJ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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 329, "width": 710 } }, "output_type": "display_data" } ], "source": [ "x = stats.uniform.rvs(-1, scale=2, size=size)\n", "y_true = a[0] + a[1] * x \n", "\n", "t_n = y_true + np.random.normal(scale=sd, size=size)\n", "\n", "# plot the generated data\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12,5))\n", "\n", "# Left plot - histogram on x \n", "ax1.hist(x, histtype='stepfilled', alpha=0.5, color='b')\n", "ax1.set(xlabel='$x$', ylabel='value')\n", "\n", "# Right plot\n", "ax2.scatter(x, t_n, s=30, marker='o', facecolors='None', edgecolors='b', label='generated data')\n", "ax2.plot(x, y_true, c='g', label='true regression line')\n", "ax2.set(xlabel='$x$', ylabel='$y$', xlim=(-1,1), ylim=(-1,1), aspect='equal')\n", "ax2.xaxis.set_ticks([-1,0,1])\n", "ax2.yaxis.set_ticks([-1,0,1])\n", "ax2.legend(loc=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Isotropic Gaussian prior\n", "### $$p(w\\,|\\,\\alpha)= \\mathcal{N}(w\\,|\\,0,\\alpha^{-1}I)$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def calc_init_prior(mean=[0,0], alpha=2.):\n", " rv = stats.multivariate_normal(mean=mean, cov=(alpha**-1)*np.identity(2))\n", " \n", " return(rv)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Likelihood of a single datapoint as a function of $w$ and $\\beta$\n", "### $$p(t\\,|\\,X_i,w, \\beta) = \\mathcal{N}(t\\,|\\,w^{T}\\phi(X_i), \\beta^{-1})$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def calc_datapoint_likelihood(datapoint=1):\n", " Z = []\n", " \n", " # for every w0 and w1 on the grid, calculate the likelihood for datapoint i\n", " for w0, w1 in grid:\n", " Z.append(stats.norm.pdf(w0 + w1*x[datapoint-1], loc=t_n[datapoint-1], scale=beta**-1))\n", " \n", " return(Z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gaussian posterior\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $$p(w\\,|\\,t) = \\mathcal{N}(w\\,|\\,m_{N}, S_N)$$\n", "### $$m_N = \\beta\\, S_N\\Phi^Tt$$\n", "### $$S_{N}^{-1} = \\alpha\\,I + \\beta\\, \\Phi^T\\Phi$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def calc_posterior(t, X):\n", " \n", " Sn = np.linalg.inv(alpha*np.identity(2) + beta*X.T.dot(X))\n", " \n", " mn = beta*Sn.dot(X.T).dot(t)\n", " \n", " rv = stats.multivariate_normal(mn.ravel(), cov=Sn)\n", " \n", " return(rv) " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot_posterior_update(i=1):\n", " \n", " Z = calc_datapoint_likelihood(i)\n", " \n", " # Draw 6 samples from the posterior and calculate y\n", " X = np.c_[np.ones(i), x[:i]]\n", " t = t_n[:i] \n", " post = calc_posterior(t, X)\n", " w = post.rvs(6)\n", " y = w[:,0] + w[:,1]*x_\n", " \n", " fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(15,5))\n", "\n", " # Left plot\n", " ax1.contourf(xx, yy, np.asarray(Z).reshape(step,step), cmap=plt.cm.jet)\n", " ax1.set(title='likelihood of datapoint {}'.format(i), xlabel='$w_0$', ylabel='$w_1$')\n", " ax1.scatter(*a, s=80, c='w', marker='+', lw=2)\n", " \n", " # Middle plot \n", " ax2.contourf(xx, yy, post.pdf(grid).reshape(step,step), cmap=plt.cm.jet)\n", " ax2.scatter(*a, s=80, c='w', marker='+', lw=2)\n", " ax2.set(title='Posterior after observing {} datapoints'.format(i), xlabel='$w_0$', ylabel='$w_1$')\n", "\n", " # Right plot\n", " ax3.plot(np.tile(x_,(1,6)), y, c='r' , alpha=0.5, linewidth=3, zorder=0)\n", " ax3.scatter(x[:i], t_n[:i],s=30, marker='o', linewidth=1, facecolors='None', edgecolors='darkblue', \n", " label='observed data points', zorder=99)\n", " ax3.set(title='data space', xlabel='$x$', ylabel='$y$')\n", " ax3.legend(loc=2);\n", "\n", " for ax in fig.axes:\n", " ax.set(xlim=(g_min,g_max), ylim=(g_min,g_max), aspect='equal')\n", " ax.xaxis.set_ticks([-1,0,1])\n", " ax.yaxis.set_ticks([-1,0,1])\n", " \n", " return(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the inital prior distribution and the model in data space using 6 samples from the prior." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ioAXgPYSx3kVoCwCAuy67TBo/XrrnntDjt99urbKtV8/ZugBEprQ0ac2aQCj7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\nMQPIksWY+ojMlj8/8O233o/37AmsW2dcPaQsBrRkH/ylP3w0M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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 338, "width": 692 } }, "output_type": "display_data" } ], "source": [ "# Values for contourplot\n", "p_prior = calc_init_prior()\n", "Z = p_prior.pdf(grid)\n", "\n", "# Draw 6 samples from the prior and calculate y\n", "w = p_prior.rvs(6, random_state=3)\n", "y = w[:,0] + w[:,1]*x_\n", "\n", "# Plots\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12,5))\n", "\n", "# Left plot\n", "c = ax1.contourf(xx, yy, Z.reshape(step,step), cmap=plt.cm.jet)\n", "ax1.scatter(w[:,0], w[:,1], c='w', s=30, zorder=99)\n", "ax1.set(title='prior(initial)', xlabel='$w_0$', ylabel='$w_1$')\n", "\n", "# Right plot\n", "ax2.plot(np.tile(x_,(1,6)), y, c='r', linewidth=3)\n", "ax2.set(title='data space', xlabel='$x$', ylabel='$y$')\n", "\n", "for ax in fig.axes:\n", " ax.set(xlim=(g_min,g_max), ylim=(g_min,g_max), aspect='equal')\n", " ax.xaxis.set_ticks([-1,0,1])\n", " ax.yaxis.set_ticks([-1,0,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we we can plot what happens when we observe more and more data points (sequentially).\n", "- Likelihood for a datapoint $X_i$\n", "- Posterior distribution after observing the datapoints $X_1$ to $X_i$ \n", "- Six versions of the model $y(x,\\textbf{w}) = w_0 + w_1x$ after taking 6 samples from the posterior distribution of $w$ \n", "\n", "Note: the white cross in the left and middle plot indicate the parameter values used to generate the data." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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F4ebNm3j8+DFCQkLw5MkT+Pr6IiEhAYIg5Cogm9f8ypcvn2VvcHNzc1y9elWe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\n3dq2bav/+Z//UVFRkTZv3qzVq1dr3rx5euutt9S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BgHnjxXffWc/p0kV65BHn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\nwcbGLl0q/f6789lwWFq7Vtq+XbrjDqlvX//q9FqzZtIDD0jr1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Pnp2jQ9xPP/2EpUuX5mt6diIiUvUh1HVvUgbHPDw8sH//fpV3cLVq1cLGjRvh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\nl27CadE1P4vOdatLAAAA2NdaWEcoBwAA4m3bNmn1au/13Fzp0Uelvn3tz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pcoAza11Y2QaYtaN7VvPnz8epU6fk6eK9vb0hCAJ69eql9viOHTvC0NAQsbGx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\n9b/T67+eYTdUqP3636/qAgAyA7P8KXq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Qx4dZbBoIWey8sWzgWD0o4dpf09dHRYMDc6asFfvfxd1qG3vW2Hzpz5d/qrv3pZn/vc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\nXn3VdsGVw/CwhXJ79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pUzRv3hxz5sxRi8cbNmyIefPmQZIkuLm5IS0tLUevD9HHjkk6onxKS0vDhAkT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\n0aNHa968eYqJKf5PsrGxsZoyZYri4opPlrrgggs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3n++Q3MmvUZvXo9zV13fYLb7W35RHJaSUtL4O67x/LAAxP44Q9HKaBrTn6+7Zt76qmGAZ3Xay25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\nTAwMHgy33AK/+hV861s2yvJf/+L6AfZ7g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jYsW6ecUqSTTy7S4sVVmj79DT388Ll69NGl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\nYpk8k2x6rbraf85cQYE0bFhs02cZGdLEiRbn8vLcXeP12jO/8Ya0ZIlUU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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 306, "width": 884 } }, "output_type": "display_data" } ], "source": [ "[plot_posterior_update(i) for i in [1,2,5,20]];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MCMC sampling\n", "Let's see what results we get when we use sampling instead of calculating the posterior analytically." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applied log-transform to sd and added transformed sd_log_ to model.\n", "Assigned NUTS to Intercept\n", "Assigned NUTS to x\n", "Assigned NUTS to sd_log_\n", " [-----------------100%-----------------] 10000 of 10000 complete in 7.0 sec" ] } ], "source": [ "data = pd.DataFrame({'x':x, 'y':t_n})\n", "\n", "with pmc.Model() as model:\n", " \n", " pmc.glm.glm('y ~ x', data, )\n", " \n", " trace = pmc.sample(10000, progressbar=True)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LUM3MzLBkyRKIogh/f39kZmYWew2KIwgCxo0bp9Cn2rVrY+TIkRBFEdeuXZO2p6SkYOfO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\nk08+qRUrVqhnz57au3evvvvuO7Vt21ZPPPFEofX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ZnktJsXAuI8Oe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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 313, "width": 605 } }, "output_type": "display_data" } ], "source": [ "cov = pmc.trace_cov(trace, vars=['Intercept', 'x'])\n", "\n", "rv = stats.multivariate_normal(mean=[trace.point(-1)['Intercept'], trace.point(-1)['x']], cov=alpha**-1*cov)\n", "Z = rv.pdf(grid)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,8))\n", "\n", "# Left plot\n", "ax1.contourf(xx, yy, Z.reshape(100,100), cmap=plt.cm.jet)\n", "ax1.scatter(-.3, .5, s=80, c='w', marker='+', lw=2)\n", "ax1.set(title='posterior after sampling', xlabel='$w_0$', ylabel='$w_1$')\n", "\n", "# Right plot\n", "ax2.scatter(data.iloc[:,0], data.iloc[:,1], s=30, marker='o', facecolors='None', edgecolors='b',\n", " label='data points')\n", "pmc.glm.plot_posterior_predictive(trace, samples=20, eval=np.asarray([g_min,g_max]), alpha=0.8, c='r',\n", " label='Posterior predictive regression lines')\n", "ax2.plot(x, y_true, c='g', label='true regression line', lw=1)\n", "ax2.set(title='data space', xlabel='$x$', ylabel='$y$', xlim=(-1,1), ylim=(-1,1))\n", "ax2.legend(loc=2)\n", "\n", "for ax in fig.axes:\n", " ax.set(xlim=(g_min,g_max), ylim=(g_min,g_max), aspect='equal')\n", " ax.xaxis.set_ticks([-1,0,1])\n", " ax.yaxis.set_ticks([-1,0,1])" ] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }