{ "metadata": { "name": "IntroMCMC" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 3\n", "\n", "\n", "_______\n", "\n", "## Opening the black box of MCMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The previous two chapters hid the inner-mechanics of PyMC, and more generally Markov Chain Monte Carlo (MCMC), from the reader. The reason for including this chapter is three-fold. The first is that any book on Bayesian inference must discuss MCMC. I cannot fight this. Blame the statisticians. Secondly, knowing the process of MCMC gives you insight into whether your algorithm has converged. (Converged to what? We will get to that) Thirdly, we'll understand *why* we are returned thousands of samples from the posterior as a solution, which at first thought can be odd. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Bayesian landscape\n", "\n", "When we setup a Bayesian inference problem with $N$ unknowns, we are implicitly creating an $N$ dimensional space for the prior distributions to exist in. Associated with the space is an additional dimension, which we can describe as the *surface*, or *curve*, that sits on top of the space, that reflects the *prior probability* of a particular point. The surface on the space is defined by our prior distributions. For example, if we have two unknowns $p_1$ and $p_2$, and priors for both are $\\text{Uniform}(0,5)$, the space created is a square of length 5 and the surface is a flat plane that sits on top of the square (representing that every point is equally likely). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import scipy.stats as stats\n", "figsize(12.5,4)\n", "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure()\n", "x = y = np.linspace(0,5, 100 )\n", "X, Y = np.meshgrid(x, y)\n", "\n", "subplot(121)\n", "uni_x = stats.uniform.pdf( x,loc=0, scale = 5)\n", "uni_y = stats.uniform.pdf(x, loc=0, scale = 5)\n", "M = np.dot( uni_x[:,None], uni_y[None,:] )\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=cm.jet, vmax=1, vmin = -.15, extent=(0,5,0,5))\n", "\n", "plt.xlim( 0, 5)\n", "plt.ylim( 0, 5)\n", "plt.title( \"Landscape formed by Uniform priors.\" )\n", "\n", "ax = fig.add_subplot(122, projection='3d')\n", "ax.plot_surface(X, Y, M, cmap=cm.jet, vmax=1, vmin = -.15 )\n", "ax.view_init( azim = 390)\n", "plt.title( \"Uniform prior landscape; alternate view\");" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] }, { "output_type": "display_data", "png": 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8DMMUK3JiGMYhmgDAzc3NpvexBsLesT755BPcvXsXcXFxqFatGqRSKYYNGwaV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\n1eqoVlUsKpXqtY7OshgWwtm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pc5iLQjk6ImzKWGuJAOlZUizcIMO+Y1JzanHrvhC37gux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\n9Pv4+DBw4EDOnj0rjGstEcbVG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} ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if the two priors are $\\text{Exp}(3)$ and $\\text{Exp}(10)$, then the space is all positive numbers on the 2-D plane, and the surface induced by the priors looks like a water fall that starts at the point (0,0) and flows over the positive numbers. \n", "\n", "The plots below visualize this. The more dark red the color, the more prior probability is assigned to that location. Conversely, areas with darker blue represent that our priors assign very low probability to that location. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5,5 )\n", "\n", "fig = plt.figure()\n", "subplot(121)\n", "\n", "exp_x = stats.expon.pdf( x, scale = 3)\n", "exp_y = stats.expon.pdf(x, scale = 10)\n", "M = np.dot( exp_x[:,None], exp_y[None,:] )\n", "CS = plt.contour( X, Y, M )\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=cm.jet, extent=(0,5,0,5))\n", "#plt.xlabel( \"prior on $p_1$\")\n", "#plt.ylabel( \"prior on $p_2$\")\n", "plt.title( \"$Exp(3), Exp(10)$ prior landscape\" )\n", "\n", "ax = fig.add_subplot(122, projection='3d')\n", "ax.plot_surface(X, Y, M, cmap=cm.jet )\n", "ax.view_init( azim = 390)\n", "plt.title( \"$Exp(3), Exp(10)$ prior landscape; \\nalternate view\")\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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YvPXWW+jTpw9yc3MRHx+Pn376CU8++STq1avntv2xY8eQnZ2NOnWcC/0YjUao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\nfj9+v7/u2P52jjjgFrd5vV6GDBnC0UcfTb9+/bjjjjv2V14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RR6uG1+vlySefZMaMGaiq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R6Sdmw39//xuUmNIb0A31o2sUcUGOLJ3VLse+uPKIKZI/a1Njardga5x3JLlqQX4HXbTkIUMspz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} ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are simple examples in 2D space, where our brains can understand surfaces well. In practice, spaces and surfaces generated by our priors can be much higher dimensional. \n", "\n", "If these surfaces describe our *prior distributions* on the unknowns, what happens to our space after we incorporate our observed data $X$? The data $X$ does not change the space, but it changes the surface of the space by *pulling and stretching the fabric of the prior surface* to reflect where the true parameters likely live. More data means more pulling and stretching, and our original shape becomes mangled or insignificant compared to the newly formed shape. Less data, and our original shape is more present. Regardless, the resulting surface describes the *posterior distribution*. \n", "\n", "Again I must stress that it is, unfortunately, impossible to visualize this in large dimensions. For two dimensions, the data essentially *pushes up* the original surface to make *tall mountains*. The tendency of the observed data to *push up* the posterior probability in certain areas is checked by the prior probability distribution, so that less prior probability means more resistance. Thus in the double-exponential prior case above, a mountain (or multiple mountains) that might erupt near the (0,0) corner would be much higher than mountains that erupt closer to (5,5), since there is more resistance (low prior probability) near (5,5). The peak reflects the posterior probability of where the true parameters are likely to be found. Importantly, if the prior has assigned a probability of 0, then no posterior probability will be assigned there. \n", "\n", "Suppose the priors mentioned above represent different parameters $\\lambda$ of two Poisson distributions. We observe a few data points and visualize the new landscape: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "### create the observed data\n", "\n", "#sample size of data we observe\n", "N = 1 \n", "\n", "#the true parameters, but of course we do not see these values...\n", "lambda_1_true = 1\n", "lambda_2_true = 3\n", "\n", "#...we see the data generated, dependent on the above two values.\n", "data = np.concatenate( [ \n", " stats.poisson.rvs( lambda_1_true, size = (N,1)),\n", " stats.poisson.rvs( lambda_2_true, size = (N,1))\n", " ], axis=1 )\n", "print \"observed (2-dimensional,sample size = %d):\"%N, data\n", "\n", "#plotting details.\n", "x = y = np.linspace(.01,5, 100 )\n", "likelihood_x = np.array( [stats.poisson.pmf( data[:,0], _x) for _x in x]).prod(axis=1)\n", "likelihood_y = np.array( [stats.poisson.pmf( data[:,1], _y) for _y in y]).prod(axis=1)\n", "L = np.dot( likelihood_x[:,None], likelihood_y[None,:] )\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "observed (2-dimensional,sample size = 1): [[2 3]]\n" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5,12 )\n", "\n", "subplot(221)\n", "uni_x = stats.uniform.pdf( x,loc=0, scale = 5)\n", "uni_y = stats.uniform.pdf(x, loc=0, scale = 5)\n", "M = np.dot( uni_x[:,None], uni_y[None,:] )\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=cm.jet, vmax=1, vmin = -.15, extent=(0,5,0,5))\n", "plt.scatter( lambda_1_true, lambda_2_true, c = \"k\", s = 50 )\n", "plt.xlim( 0, 5)\n", "plt.ylim( 0, 5)\n", "plt.title( \"Landscape formed by Uniform priors on $p_1, p_2$.\" )\n", "\n", "subplot(223)\n", "plt.contour( X, Y, M*L )\n", "im = plt.imshow(M*L, interpolation='none', origin='lower',\n", " cmap=cm.jet, extent=(0,5,0,5))\n", "plt.title( \"Landscape warped by data observations;\\n Uniform priors on $p_1, p_2$.\" )\n", "plt.scatter( lambda_1_true, lambda_2_true, c = \"k\", s = 50 )\n", "plt.xlim( 0, 5)\n", "plt.ylim( 0, 5)\n", "\n", "subplot(222)\n", "exp_x = stats.expon.pdf( x,loc=0, scale = 3)\n", "exp_y = stats.expon.pdf(x, loc=0, scale = 10)\n", "M = np.dot( exp_x[:,None], exp_y[None,:] )\n", "\n", "plt.contour( X, Y, M )\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=cm.jet, extent=(0,5,0,5))\n", "plt.scatter( lambda_1_true, lambda_2_true, c = \"k\", s = 50 )\n", "plt.xlim( 0, 5)\n", "plt.ylim( 0, 5)\n", "plt.title( \"Landscape formed by Exponential priors on $p_1, p_2$.\" )\n", "\n", "subplot(224)\n", "plt.contour( X, Y, M*L )\n", "im = plt.imshow(M*L, interpolation='none', origin='lower',\n", " cmap=cm.jet, extent=(0,5,0,5))\n", "\n", "\n", "plt.scatter( lambda_1_true, lambda_2_true, c = \"k\", s = 50 )\n", "plt.title( \"Landscape warped by data observations;\\n Exponential priors on \\\n", "$p_1, p_2$.\" )\n", "plt.xlim( 0, 5)\n", "plt.ylim( 0, 5);" ], "language": "python", "metadata": {}, "outputs": [ { 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IbjU8DBlXnoP/GVL8KETjpkjQGgAf8cgOp4iSrLwMYI4H47sl6EJBYuEPMwkh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fAAAg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\n+A4mqCc4uPyEgZUxVCPNqtrAw+AQz0fsuajUO63Mc55P1zvi1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kLypA8uyuUIjfAbHAEs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\nGnP+ItaIJkwY4xGA1YcR3gtfzLUME39581NooNjgtVb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dEjYVUW7UCEnY1N3EDwojfPU2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} ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot on the left is the deformed landscape with the $\\text{Uniform}(0,5)$ priors, and the plot on the right is the deformed landscape with the exponential priors. Notice that the posterior landscapes look different from one another, though the data observed is identical in both cases. The reason is as follows. The exponential-prior landscape, on the right, puts very little posterior weight on values in the upper right corner: this is because *the prior does not put much weight there*, whereas the uniform-prior landscape is happy to put posterior weight there. Also, the highest-point, corresponding the the darkest red, is biased towards (0,0) in the exponential case, which is the result from the exponential prior putting more prior weight in the (0,0) corner.\n", "\n", "The black dot represents the true parameters. Even with 1 sample point, the mountains attempts to contain the true parameter. Of course, inference with a sample size of 1 is incredibly naive, and choosing such a small sample size was only illustrative. Try observing how to mountain changes as you vary the sample size. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exploring the landscape using the MCMC\n", "\n", "We should explore the deformed posterior space generated by our prior surface and observed data to find the posterior mountain. However, we cannot naively search the space: any computer scientist will tell you that traversing $N$-dimensional space is exponentially difficult in $N$: the size of the space quickly blows-up as we increase $N$ (see [the curse of dimensionality](http://en.wikipedia.org/wiki/Curse_of_dimensionality) ). What hope do we have to find these hidden mountains? The idea behind MCMC is to perform an intelligent search of the space. To say \"search\" implies we are looking for a particular object, which is perhaps not an accurate description of what MCMC is doing. Recall: MCMC returns *samples* from the posterior distribution, not the distribution itself. Stretching our mountainous analogy to its limit, MCMC performs a task similar to repeatedly asking \"How likely is this pebble I found to be from the mountain I am searching for?\", and completes its task by returning thousands of accepted pebbles in hopes of reconstructing the original mountain. In MCMC and PyMC lingo, the returned sequence of \"pebbles\" are the samples, more often called the *traces*. \n", "\n", "When I say MCMC intelligently searches, I mean MCMC will *hopefully* converge towards the areas of high posterior probability. MCMC does this by exploring nearby positions and moving into areas with higher probability. Again, perhaps \"converge\" is not an accurate term to describe MCMC's progression. Converging usually implies moving towards a point in space, but MCMC moves towards a *broader area* in the space and randomly walks in that area, picking up samples from that area.\n", "\n", "At first, returning thousands of samples to the user might sound like being an inefficient way to describe the posterior distributions. I would argue that this is extremely efficient. Consider the alternative possibilities::\n", "\n", "1. Returning a mathematical formula for the \"mountain ranges\" would involve describing a N-dimensional surface with arbitrary peaks and valleys.\n", "2. Returning the \"peak\" of the landscape, while mathematically possible and a sensible thing to do as the highest point corresponds to most probable estimate of the unknowns, ignores the shape of the landscape, which we have previously argued is very important in determining posterior confidence in unknowns. \n", "\n", "Besides computational reasons, likely the strongest reason for returning samples is that we can easily use *The Law of Large Numbers* to solve otherwise intractable problems. I postpone this discussion for the next chapter. With the thousands of samples, we can reconstruct the posterior surface by organizing them in a histogram. \n", "\n", "\n", "### Algorithms to perform MCMC\n", "\n", "There is a large family of algorithms that perform MCMC. Most of these algorithms can be expressed at a high level as follows: (Mathematical details can be found in the appendix. )\n", "\n", " 1. Start at current position.\n", " 2. Propose moving to a new position (investigate a pebble near you).\n", " 3. Accept/Reject the new position based on the position's adherence to the data \n", " and prior distributions (ask if the pebble likely came from the mountain).\n", " 4. - If you accept: Move to the new position. Return to Step 1.\n", " - Else: Do not move to new position. Return to Step 1. \n", " 5. After a large number of iterations, return the positions.\n", "\n", "This way we move in the general direction towards the regions where the posterior distributions exist, and collect samples sparingly on the journey. Once we reach the posterior distribution, we can easily collect samples as they likely all belong to the posterior distribution. \n", "\n", "If the current position of the MCMC algorithm is in an area of extremely low probability, which is often the case when the algorithm begins (typically at a random location in the space), the algorithm will move in positions *that are likely not from the posterior* but better than everything else nearby. Thus the first moves of the algorithm are not reflective of the posterior.\n", "\n", "In the above algorithm's pseudocode, notice that only the current position matters (new positions are investigated only near the current position). We can describe this property as *memorylessness*, i.e. the algorithm does not care *how* it arrived at it's current position, only that it is there. \n", "\n", "### Other approximation solutions to the posterior\n", "Besides MCMC, there are other procedures available for determining the posterior distributions. A [Laplace approximation](http://en.wikipedia.org/wiki/Laplace's_method) is an approximation of the posterior using simple functions. A more advanced method is [Variational Bayes](http://en.wikipedia.org/wiki/Variational_Bayesian_methods). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Unsupervised Clustering using a Mixture Model\n", "\n", "\n", "Suppose we are given the following dataset:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 4)\n", "data = np.loadtxt( \"data/mixture_data.csv\", delimiter=\",\" )\n", "\n", "hist( data, bins = 20, color = \"k\" )\n", "plt.title(\"Histogram of the dataset\" )\n", "print data[ :10 ], \"...\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 115.85679142 152.26153716 178.87449059 162.93500815 107.02820697\n", " 105.19141146 118.38288501 125.3769803 102.88054011 206.71326136] ...\n" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 112 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does the data suggest? It appears the data has a bimodal form, that is, it appears to have two peaks, one near 120 and the other near 200. Perhaps there are *two clusters* within this dataset. \n", "\n", "This dataset is a good example of the data-generation modeling technique from last chapter. We can propose *how* the data might have been created. I suggest the following data generation algorithm: \n", "\n", "1. For each data point, choose cluster 1 with probability $p$, else choose cluster 2. \n", "2. Draw a random variate from a Normal distribution with parameters $\\mu_i$ and $\\sigma_i$ where $i$ was chosen in step 1.\n", "3. Repeat.\n", "\n", "This algorithm would create a similar effect as the observed dataset, so we choose this as our model. Of course, we do not know $p$ or the parameters of the Normal distributions. Hence we must infer, or *learn*, these unknowns.\n", "\n", "Denote the Normal distributions $\\text{Nor}_0$ and $\\text{Nor}_1$ (having variables' index start at 0 is just Pythonic). Both currently have unknown mean and standard deviation, denoted $\\mu_i$ and $\\sigma_i, \\; i =0,1$ respectively. A specific data point can be from either $\\text{Nor}_0$ or $\\text{Nor}_1$, and we assume that the data point is assigned to $\\text{Nor}_0$ with probability $p$.\n", "\n", "\n", "An appropriate way to assign data points to clusters is to use a PyMC Categorical stochastic variable. Its parameter is a $k$-length array of probabilities that must sum to one and its value attribute is a integer between 0 and $k-1$ randomly chosen according to the crafted array of probabilities. (In our case $k=2$) *A priori*, we do not know what the probability of assignment to cluster 1 is, so we create a uniform variable over 0,1 to model this. Call this p. Thus the probability array we enter into the Categorical variable is [p, 1-p]." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as mc\n", "\n", "p = mc.Uniform( \"p\", 0, 1)\n", "\n", "assignment = mc.Categorical(\"assignment\", [p, 1-p], size = data.shape[0] ) \n", "print \"prior assignment, with p = %.2f:\"%p.value\n", "print assignment.value[ :10 ], \"...\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "prior assignment, with p = 0.45:\n", "[1 1 0 1 1 1 0 1 0 1]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " ...\n" ] } ], "prompt_number": 93 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the above dataset, I would guess that the standard deviations of the two Normals are different. To maintain ignorance of what the standard deviations might be, we will initially model them as uniform on 0 to 100. Really we are talking about $\\tau$, the *precision* of the Normal distribution, but it is easier to think in terms of standard deviation. Our PyMC code will need to transform our standard deviation into precision by the relation:\n", "\n", "$$\\tau = \\frac{1}{\\sigma^2}$$\n", "\n", "In PyMC, we can do this in one step by writing:\n", "\n", " taus = 1.0/mc.Uniform( \"stds\", 0, 100, size= 2)**2 \n", "\n", "Notice that we specified size=2: we are modeling both $\\tau$s as a single PyMC variable. Note that is does not induce a necessary relationship between the two $\\tau$s, it is simply for succinctness.\n", "\n", "We also need to specify priors on the centers of the clusters. The centers are really the $\\mu$ parameters in this Normal distributions. Their priors can be modeled by a Normal distribution. Looking at the data, I have an idea where the two centers might be — I would guess somewhere around 120 and 190 respectively, though I am not very confident in these eyeballed estimates. Hence I will set $\\mu_0 = 120, \\mu_1 = 190$ and $\\sigma_{0,1} = 10$ (recall we enter the $\\tau$ parameter, so enter $1/\\sigma^2 = 0.01$ in the PyMC variable.)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "taus = 1.0/mc.Uniform( \"stds\", 0, 100, size= 2)**2 \n", "centers = mc.Normal( \"centers\", [120, 190], [0.01, 0.01], size =2 )\n", "\n", "\"\"\"\n", "The below deterministic functions map a assignment, in this case 0 or 1,\n", "to a set of parameters, located in the (1,2) arrays taus and centers.\n", "\"\"\"\n", "\n", "@mc.deterministic \n", "def center_i( assignment = assignment, centers = centers ):\n", " return centers[ assignment] \n", "\n", "@mc.deterministic\n", "def tau_i( assignment = assignment, taus = taus ):\n", " return taus[ assignment] \n", "\n", "print \"Random assignments: \", assignment.value[ :4 ], \"...\" \n", "print \"Assigned center: \", center_i.value[ :4], \"...\"\n", "print \"Assigned precision: \", tau_i.value[ :4], \"...\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Random assignments: [1 1 0 1] ...\n", "Assigned center: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 174.87922993 174.87922993 129.56485407 174.87922993] ...\n", "Assigned precision: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 0.00012929 0.00012929 0.00050314 0.00012929] ...\n" ] } ], "prompt_number": 94 }, { "cell_type": "code", "collapsed": false, "input": [ "#and to combine it with the observations:\n", "observations = mc.Normal( \"obs\", center_i, tau_i, value = data, observed = True )\n", "\n", "#below we create a model class\n", "model = mc.Model( [p, assignment, taus, centers ] )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 95 }, { "cell_type": "markdown", "metadata": {}, "source": [ "PyMC has an MCMC class, MCMC in the main namespace of PyMC, that implements the MCMC exploring algorithm. We initialize it by passing in a Model instance:\n", "\n", " mcmc = mc.MCMC( model )\n", "\n", "The method for asking the MCMC to explore the space is sample( iterations ), where iterations is the number of steps you wish the algorithm to perform. We try 50000 steps below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mcmc = mc.MCMC( model )\n", "mcmc.sample( 50000 )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 50000 of 50000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 96 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below I plot the paths, or \"traces\", the unknown parameters (centers, precisions, and $p$) have taken thus far. The traces can be retrieved using the trace method in the MCMC object created, which accepts the assigned PyMC variable name. For example, mcmc.trace(\"centers\") will retrieve a Trace object that can be indexed (using [:] or .gettrace() to retrieve all traces, or fancy-indexing like [1000:])." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 9 )\n", "subplot(311)\n", "lw = 1\n", "center_trace = mcmc.trace(\"centers\")[:]\n", "\n", "#for pretty colors later in the book.\n", "colors = [\"#348ABD\", \"#A60628\"] if center_trace[-1,0] > center_trace[-1,1] \\\n", " else [ \"#A60628\", \"#348ABD\"]\n", "\n", "plot( center_trace[:,0], label = \"trace of center 0\", c = colors[0], lw = lw )\n", "plot( center_trace[:,1], label = \"trace of center 1\", c = colors[1], lw = lw )\n", "plt.title( \"Traces of unknown parameters\" )\n", "leg = plt.legend(loc = \"upper right\")\n", "leg.get_frame().set_alpha(0.7)\n", "\n", "subplot(312)\n", "std_trace = mcmc.trace(\"stds\")[:] \n", "plot( std_trace[:,0], label = \"trace of standard deviation of cluster 0\", \n", " c = colors[0], lw = lw )\n", "plot( std_trace[:,1], label = \"trace of standard deviation of cluster 1\", \n", " c = colors[1], lw = lw )\n", "plt.legend(loc = \"upper left\")\n", "\n", "subplot(313)\n", "p_trace = mcmc.trace(\"p\")[:]\n", "plot( p_trace, label = \"$p$: frequency of assignment to cluster 0\",\n", " color = \"#467821\", lw = 1)\n", "plt.xlabel( \"Steps\" )\n", "plt.ylim(0,1)\n", "plt.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Zmh6euufxvX2JTbaXnNJqPj2aSlJ+BZ893JFz6cXM353AT+GdeHtvAvG5dpAU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MDy5csBACkpKdi+fTtSUlIQGxuLuXPnQvUQxgkRmg63wb1h284PFEVxoTMs/ERP5+5dILW1QYfF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EpMcehTx528O+7du8dNSHZ0dOQW2Lp9+7ag+hDbTtQfd3Fx4doPv20ZGxvDysoKWVlZZfVV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\nyjrSe3MbAAAAAElFTkSuQmCC\n" } ], "prompt_number": 99 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the following characteristics:\n", "\n", "1. The traces converges, not to a single point, but to a *distribution* of possible points. This is *convergence* in an MCMC algorithm.\n", "2. Inference using the first few thousand points is a bad idea, as they are unrelated to the final distribution we are interested in. Thus is it a good idea to discard those samples before using the samples for inference. We call this period before converge the *burn-in period*.\n", "3. The traces appear as a random \"walk\" around the space, that is, the paths exhibit correlation with previous positions. This is both good and bad. We will always have correlation between current positions and the previous positions, but too much of it means we are not exploring the space well. This will be detailed in the Diagnostics section later in this chapter.\n", "\n", "\n", "To achieve further convergence, we will perform more MCMC steps. Starting the MCMC again after it has already been called does not mean starting the entire algorithm over. In the pseudo-code algorithm of MCMC above, the only position that matters is the current position (new positions are investigated near the current position), implicitly stored in PyMC variables' value attribute. Thus it is fine to halt an MCMC algorithm and inspect its progress, with the intention of starting it up again later. The value' attributes are not overwritten. \n", "\n", "We will sample the MCMC one hundred thousand more times and visualize the progress below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mcmc.sample( 100000 )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 100000 of 100000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 100 }, { "cell_type": "code", "collapsed": false, "input": [ "figsize(12.5, 4)\n", "center_trace = mcmc.trace(\"centers\", chain = 1)[:]\n", "prev_center_trace = mcmc.trace(\"centers\", chain = 0)[:]\n", "\n", "x =np.arange(50000)\n", "plot(x, prev_center_trace[:,0], label = \"previous trace of center 0\", \n", " lw = lw, alpha = 0.4 , c= colors[1] )\n", "plot(x, prev_center_trace[:,1], label = \"previous trace of center 1\", \n", " lw = lw, alpha = 0.4, c = colors[0] )\n", "\n", "x = np.arange(50000, 150000)\n", "plot(x, center_trace[:,0], label = \"new trace of center 0\", lw = lw, c = \"#348ABD\")\n", "plot(x, center_trace[:,1], label = \"new trace of center 1\", lw = lw, c = \"#A60628\")\n", "\n", "plt.title( \"Traces of unknown center parameters\" )\n", "leg = plt.legend(loc = \"upper right\")\n", "leg.get_frame().set_alpha(0.8)\n", "plt.xlabel( \"Steps\" );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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BwUhISMD58+fx6NEjAMCPP/4IT09PrFy5Ek+fPkVCQgK8vb0xf/588Pl8lJeXY9GiRfDz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\n6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ZJL1AfGB8i+xjCh6szEs5yOTfx2fhql2X+6+LPjA70Qpe2QTqSH+ZqVWUT4W9dkylPp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\nwNbYuqmBsEt5fGwKnp6U3un3o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ARBEARBEB7C/wct/YDI5djaIgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 101 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trace method in the MCMC instance has a keyword argument chain, that indexes which call to sample you would like to be returned. (Often we need to call sample multiple times, and the ability to retrieve past samples is a useful procedure). The default for chain is -1, which will return the samples from the lastest call to sample.\n", "\n", "#### Cluster Investigation\n", "\n", "We have not forgotten our main challenge: identify the clusters. We have determined posterior distributions for our unknowns. We plot the posterior distributions of the center and standard deviation variables below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 11.0, 4 )\n", "std_trace = mcmc.trace(\"stds\")[:] \n", "\n", "_i = [ 1,2,3,0]\n", "for i in range(2):\n", " subplot(2,2, _i[ 2*i ] )\n", " plt.title(\"Posterior of center of cluster %d\"%i)\n", " plt.hist( center_trace[:, i], color = colors[i],bins = 30, \n", " histtype=\"stepfilled\" )\n", "\n", " subplot(2,2, _i[ 2*i + 1 ])\n", " plt.title( \"Posterior of standard deviation of cluster %d\"%i )\n", " plt.hist( std_trace[:, i], color = colors[i], bins = 30, \n", " histtype=\"stepfilled\" )\n", " #plt.autoscale(tight=True)\n", " \n", "plt.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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3Tl/QOL+3xEbjfHPDn7lhcZzmi/sD89MZ66E2nIt6nIcGnAv9ieIJyRkZGXwB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\nxBNP4MMPP0RZWRnc3d0BAO7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s2TIsW9b0HPknnngCp0+f1icMxjo1qn6Igg1ft1jOrp8n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} ], "prompt_number": 102 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MCMC algorithm has proposed that the most likely centers of the two clusters are near 120 and 200 respectively. Similar inference can be applied to the standard deviation. \n", "\n", "We are also given the posterior distributions for the labels of the data point, which is present in mcmc.trace(\"assignment\"). Below is a visualization of this. The y-axis represents a subsample of the posterior labels for each data point. The x-axis are the sorted values of the data points. A red square is an assignment to cluster 1, and a blue square is an assignment to cluster 0. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 4.5 )\n", "cmap = mpl.colors.ListedColormap(colors)\n", "imshow( mcmc.trace(\"assignment\")[::400,np.argsort(data) ], \n", " cmap = cmap ,aspect=.4, alpha = .9 )\n", "xticks(np.arange(0, data.shape[0], 40 ), [ \"%.2f\"%s for s in np.sort( data )[::40] ] )\n", "plt.ylabel(\"posterior sample\")\n", "plt.xlabel(\"value of $i$th data point\")\n", "plt.title(\"Posterior labels of data points\" );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Shw4dEjqdTtTX14sf/ehHorq6Wnz1q1/N5jl58qRoaGgQGo1GKBSKLct0PSRJEt/4xjfE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} ], "prompt_number": 103 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the above plot, it appears that the most uncertainty is between 150 and 170. The above plot slightly misrepresents things, as the x-axis is not a true scale (it displays the value of the $i$th sorted data point.) A more clear diagram is below, where we have estimated the *frequency* of each data point belonging to the labels 0 and 1. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "cmap = mpl.colors.LinearSegmentedColormap.from_list(\"BMH\", colors )\n", "assign_trace = mcmc.trace(\"assignment\")[:]\n", "scatter( data,1-assign_trace.mean(axis=0), cmap=cmap, \n", " c=assign_trace.mean(axis=0), s = 50)\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\" );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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2B/6d9obJudGi5lQiPB8djtQFH8N16ADjrzCEEELInaK4uBhBQVcfV7al3XLq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} ], "prompt_number": 104 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though we modeled the clusters using Normal distributions, we didn't get just a single Normal distribution that *best* fits the data (whatever our definition of best is), but a distribution of values for the Normal's parameters. How can we choose just a single pair of values for the mean and variance and determine a *sorta-best-fit* gaussian? \n", "\n", "One quick and dirty way (which has nice theoretical properties we will see in Chapter 5), is to use the *mean* of the posterior distributions. Below we overlay the Normal density functions, using the mean of the posterior distributions as the chosen parameters, with our observed data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "norm = stats.norm\n", "x = np.linspace( 20, 300, 500 )\n", "posterior_center_means = center_trace.mean(axis=0) \n", "posterior_std_means = std_trace.mean(axis=0) \n", "posterior_p_mean = mcmc.trace(\"p\")[:].mean()\n", "\n", "hist( data, bins = 20, histtype=\"step\", normed = True, color = \"k\", \n", " lw = 2, label = \"histogram of data\" )\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)\", 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)\", lw = 3 )\n", "plt.fill_between( x,y, color = colors[0], alpha = 0.3, )\n", "\n", "plt.legend(loc = \"upper left\")\n", "plt.title( \"Visualizing Clusters using posterior-mean parameters\" );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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CoXzCUAP+PRAeHo5+/fqBx+PBysoK3t7euHXrVrOVn5+fDx0dHdTU1DRbmQCQ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\nCIUqS6dGG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} ], "prompt_number": 106 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Important: Don't mix posterior samples\n", "\n", "In the above example, a possible (though less likely) scenario is that cluster 0 has a very large standard deviation, and cluster 1 has a small standard deviation. This would still satisfy the evidence, albeit less so than our original inference. Alternatively, it would be incredibly unlikely for *both* distributions to have a small standard deviation, as the data does not support this hypothesis at all. Thus the two standard deviations are *dependent* on each other: if one is small, the other must be large. In fact, *all* the unknowns are related in a similar manner. For example, if a standard deviation is large, the mean has a wider possible space of realizations. Conversely, a small standard deviation restricts the mean to a small area. \n", "\n", "During MCMC, we are returned vectors representing samples from the unknown posteriors. Elements of different vectors cannot be used together, as this would break the above logic: perhaps a sample has returned that cluster 1 has a small standard deviation, hence all the other variables in that sample would incorporate that and be adjusted accordingly. It is easy to avoid this problem though, just make sure you are indexing traces correctly. \n", "\n", "Another small example to illustrate the point. Suppose two variables, $x$ and $y$, are related by $x+y=10$. We model $x$ as a Normal random variable with mean 4 and explore 300 samples. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as mc\n", "\n", "x = mc.Normal(\"x\", 4, 10 )\n", "y = mc.Lambda( \"y\", lambda x=x: 10-x, trace = True )\n", "\n", "ex_mcmc = mc.MCMC( mc.Model( [x,y] ) )\n", "ex_mcmc.sample( 500 )\n", "\n", "plt.plot( ex_mcmc.trace(\"x\")[:] )\n", "plt.plot( ex_mcmc.trace(\"y\")[:] )\n", "plt.title( \"Displaying (extreme) case of dependence between unknowns\" );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 500 of 500 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "display_data", "png": 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HMNDriw6t0OuKjvqETsZ16KgnFK/fgYoDRxu6GDp06NChQ4eORgRdpqJDRz3A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\nq1dL0/1cfPHFePjhhwu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wwQcBAM8++yxKS0tRU1MzSZerUCgUCoVCoVDMHbLKVI4cOYLt\n27cjnU4jnU5j27ZtWL9+PR544AEAwI4dO3DllVfikUceQWtrK4qKivCtb31rSi5coVAoFAqFQqGY\n7WT1jHd2dmLnzp3YtWsXdu/ejTvvvBOAZYTv2LGDHXfffffhzTffxMsvv4ze3l7Hd/ziF79AR0cH\n2tracM8990zCT1DMJj7ykY+gpqYGnZ2d7LUTJ05gw4YNaG9vx2WXXcZ2YwDgi1/8Itra2tDR0YFH\nH310Oi5ZMY0cOHAAl1xyCZYuXYply5bh7//+7wGoNqNw41UXQ7UVRTZSqRR6enqwefNmAKq9KOQ0\nNzdj+fLl6OnpwcqVKwFMcFsxJ5GxsTGzpaXF3Ldvn5lMJs2uri7ztddem8xTKmY4v/71r82dO3ea\ny5YtY6/deeed5j333GOapmnefffd5qc//WnTNE3z1VdfNbu6usxkMmnu27fPbGlpMVOp1LRct2J6\nOHLkiPnSSy+Zpmma/f39Znt7u/naa6+pNqOQcubMGdM0TXN0dNRctWqV+Zvf/Ea1FUVWvvKVr5g3\n3XSTuXnzZtM01XykkNPc3GweP37c8dpEthXfAZyF8Pzzz6O1tRXNzc0IBoO44YYb8NOf/nQyT6mY\n4axZswZlZWWO1/hc9du3b8dPfvITAMBPf/pT3HjjjQgGg2hubkZrayuef/75Kb9mxfRRW1uL7u5u\nAEBxcTEWL16MQ4cOqTajkCLWxSgrK1NtReHJwYMH8cgjj+CjH/0oywqn2ovCC1PIHDiRbWVSjfFD\nhw6hsbGR/d3Q0IBDhw5N5ikVs5CjR4+yoN+amhpWNOrw4cNoaGhgx6n2c3azf/9+vPTSS1i1apVq\nMwop6XQa3d3dqKmpYfIm1VYUXtxxxx340pe+BF23TSHVXhQyNE3DpZdeihUrVuAb3/gGgIltKznz\njI8HMd+4QpELTdOythvVps5OBgYGcO211+JrX/sa4vG44z3VZhSEWBfjiSeecLyv2oqC+NnPfobq\n6mr09PTgySeflB6j2ouCePrpp1FXV4f33nsPGzZsQEdHh+P98baVSfWMiznIDxw44FgtKBSAtaJ8\n5513AFgZfKqrqwGoHPYKi9HRUVx77bXYtm0brr76agCqzSiyQ3UxXnzxRdVWFFKeeeYZPPzww1iw\nYAFuvPFG/OpXv8K2bdtUe1FIqaurAwBUVVVh69ateP755ye0rUyqMb5ixQrs2bMH+/fvRzKZxPe/\n/31s2bJlMk+pmIVs2bIF3/nOdwAA3/nOd5jBtWXLFjz00ENIJpPYt28f9uzZw6KYFWcHpmnilltu\nwZIlS/DJT36Sva7ajELEqy6GaisKGV/4whdw4MAB7Nu3Dw899BDWrVuH7373u6q9KFwMDg6iv78f\nAHDmzBk8+uij6OzsnNi2MglBpw4eeeQRs7293WxpaTG/8IUvTPbpFDOcG264wayrqzODwaDZ0NBg\nfvOb3zSPHz9url+/3mxrazM3bNhgnjx5kh3/+c9/3mxpaTEXLVpk/uIXv5jGK1dMB7/5zW9MTdPM\nrq4us7u72+zu7jZ//vOfqzajcLF7926zp6fH7OrqMjs7O817773XNE1TtRVFTp588kmWTUW1F4XI\nW2+9ZXZ1dZldXV3m0qVLmS07kW1FM00hPFShUCgUCoVCoVBMCZMqU1EoFAqFQqFQKBTeKGNcoVAo\nFAqFQqGYJpQxrlAoFAqFQqFQTBPKGFcoFAqFQqFQKKYJZYwrFAqFQqFQKBTThDLGFQqFQqFQKBSK\naeL/A5z3bBV5HVyTAAAAAElFTkSuQmCC\n" } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the two variables are not unrelated, and it would be wrong to add the $i$th sample of $x$ to the $j$th sample of $y$, unless $i = j$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Returning to Clustering: Prediction\n", "The above clustering can be generalized to $k$ clusters. Choosing $k=2$ allowed us to visualize the MCMC better, and examine some very interesting plots. \n", "\n", "What about prediction? Suppose we observe a new data point, say $x = 175$, and we wish to label it to a cluster. It is foolish to simply assign it to the *closer* cluster center, as this ignores the standard deviation of the clusters, and we have seen from the plots above that this consideration is very important. More formally: we are interested in the *probability* (as we cannot be certain about labels) of assigning $x=175$ to cluster 1. Denote the assignment of $x$ as $L_x$, which is equal to 0 or 1, and we are interested in $P(L_x = 1 \\;|\\; x = 175 )$. \n", "\n", "A naive method to compute this is to re-run the above MCMC with the additional data point appended. The disadvantage with this method is that it will be slow to infer for each novel data point. Alternatively, we can try a *less precise*, but much quicker method. \n", "\n", "We will use Bayes Theorem for this. If you recall, Bayes Theorem looks like:\n", "\n", "$$P( A | X ) = \\frac{ P( X | A )P(A) }{P(X) }$$\n", "\n", "In our case, $A$ represents $L_x = 1$ and $X$ is the evidence we have: we observe that $x = 175$. For a particular sample set of parameters for our posterior distribution, $( \\mu_0, \\sigma_0, \\mu_1, \\sigma_1, p)$, we are interested in asking \"Is the probability that $x$ is in cluster 1 *greater* than the probability it is in cluster 0?\", where the probability is dependent on the chosen parameters.\n", "\n", "\\begin{align}\n", "& P(L_x = 1| x = 175 ) \\gt P( (L_x = 0| x = 175 ) \\\\\\\\[5pt]\n", "& \\frac{ P( x=175 | L_x = 1 )P( L_x = 1 ) }{P(x = 175) } \\gt \\frac{ P( x=175 | L_x = 0 )P( L_x = 0 )}{P(x = 175) }\n", "\\end{align}\n", "\n", "As the denominators are equal, they can be ignored (and good riddance, because computing the quantity $P(x = 175)$ can be difficult). \n", "\n", "$$P( x=175 | L_x = 1 )P( L_x = 1 ) \\gt P( x=175 | L_x = 0 )P( L_x = 0 )$$\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "norm_pdf = stats.norm.pdf\n", "p_trace = mcmc.trace(\"p\")[:]\n", "x = 175\n", "\n", "v = p_trace*norm_pdf(x, loc = center_trace[:,0], scale = std_trace[:,0] ) > \\\n", " (1-p_trace)*norm_pdf(x, loc = center_trace[:,1], scale = std_trace[:,1] )\n", " \n", "print \"Probability of belonging to cluster 1:\", v.mean()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Probability of belonging to cluster 1: 0.9406\n" ] } ], "prompt_number": 385 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Giving us a probability instead of a label is a very useful thing. Instead of the naive \n", "\n", " L = 1 if prob > 0.5 else 0\n", "\n", "we can optimize our guesses using *loss function*, of which the entire fifth chapter is devoted to. \n", "\n", "\n", "### Using MAP to improve convergence\n", "\n", "If you ran the above example yourself, you may have noticed that our results were not consistent: perhaps your cluster cluster division was more scattered, or perhaps less scattered. The problem is that our traces are a function of the *starting values* of the MCMC algorithm. \n", "\n", "It can be mathematically shown that letting the MCMC run long enough, by performing many steps, the algorithm *should forget its initial position*. In fact, this is what it means to say the MCMC converged (in practice though we can never achieve total convergence). Hence if we observe different posterior analysis, it is likely because our MCMC has not fully converged yet, and we should not use samples from it yet (we should use a larger burn-in period ).\n", "\n", "In fact, poor starting values can prevent any convergence, or significantly slow it down. Ideally, we would like to have the chain start at the *peak* of our landscape, as this is exactly where the posterior distributions exist. Hence, if we started at the \"peak\", we could avoid a lengthy burn-in period and incorrect inference. Generally, we call this \"peak\" the *maximum a posterior* or, more simply, the *MAP*.\n", "\n", "Of course, we do not know where the MAP is. PyMC provides an object that will approximate, if not find, the MAP location. In the PyMC main namespace is the MAP object that accepts a PyMC Model instance. Calling .fit() from the MAP instance sets the variables in the model to their MAP values.\n", "\n", " map_ = mc.MAP( model )\n", " map.fit()\n", "\n", "The MAP.fit() methods has the flexibility of allowing the user to choose which optimization algorithm to use (after all, this is a optimization problem: we are looking for the values that maximize our landscape), as not all optimization algorithms are created equal. The default optimization algorithm in the call to fit is scipy's fmin algorithm (which attempts to minimize the *negative of the landscape*). An alternative algorithm that is available is Powell's Method, a favourite of PyMC blogger [Abraham Flaxman](http://healthyalgorithms.com/) [1], by calling fit(method='fmin_powell'). From my experience, I use the default, but if my convergence is slow or not guaranteed, I experiment with Powell's method. \n", "\n", "The MAP can also be used as a solution to the inference problem, as mathematically it is the *most likely* value for the unknowns. But as mentioned earlier in this chapter, this location ignores the uncertainty and doesn't return a distribution.\n", "\n", "Typically, it is always a good idea, and rarely a bad idea, to prepend your call to mcmc with a call to MAP(model).fit(). The intermediate call to fit is hardly computationally intensive, and will save you time later due to a shorter burn-in period. \n", "\n", "#### Speaking of the burn-in period\n", "\n", "It is still a good idea to provide a burn-in period, even if we are using MAP prior to calling MCMC.sample, just to be safe. We can have PyMC automatically discard the first $n$ samples by specifying the burn parameter in the call to sample`. As one does not know when the chain has fully converged, I like to assign the first *half* of my samples to be discarded, sometimes up to 90% of my samples for longer runs. To continue the clustering example from above, my new code would look something like:\n", "\n", " model = mc.Model( [p, assignment, taus, centers ] )\n", "\n", " map_ = mc.MAP( model )\n", " map_.fit() #stores the fitted variables' values in foo.value\n", "\n", " mcmc = mc.MCMC( model )\n", " mcmc.sample( 100000, 50000 )\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagnosing Convergence\n", "\n", "### Autocorrelation\n", "\n", "Autocorrelation is a measure of how related a series of numbers is with itself. A measurement of 1.0 is perfect positive autocorrelation, 0 no autocorrelation, and -1 is perfect negative correlation. If you are familiar with standard *correlation*, then autocorrelation is just how correlated a series, $x_\\tau$, at time $t$ is with the series at time $t-k$:\n", "\n", "$$R(k) = Corr( x_t, x_{t-k} )$$\n", "\n", "For example, consider the two series:\n", "\n", "$$x_t \\sim \\text{Normal}(0,1), \\;\\; x_0 = 0$$\n", "$$y_t \\sim \\text{Normal}(y_{t-1}, 1 ), \\;\\; y_0 = 0$$\n", "\n", "which has an example paths like:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize(12.5,4)\n", "\n", "import pymc as mc\n", "x_t = mc.rnormal( 0, 1, 200 )\n", "x_t[0] = 0\n", "y_t = np.zeros( 200 )\n", "for i in range(1,200):\n", " y_t[i] = mc.rnormal( y_t[i-1], 1 )\n", " \n", "plt.plot( y_t, label= \"$y_t$\", lw = 3 )\n", "plt.plot( x_t, label = \"$x_t$\", lw = 3 )\n", "plt.xlabel(\"time, $t$\")\n", "plt.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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P9AT5qE44RkIukyDCX4qWLgP0Jha1HTokhQ78me8usbYynJ8aAj+pc/tz58YE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OAAAg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