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"\\newcommand{\\nullsp} [1] {{\\mathrm{Null}\\!\\brac{#1}}}\n", "\\newcommand{\\bigo} [1] {{\\mathcal{O}\\!\\brac{#1}}} \n", "\\newcommand{\\trace} [1] {{\\mathrm{Tr}\\!\\brac{#1}}}\n", "\\newcommand{\\argmax} [1] {{\\underset{#1}{\\arg\\max~}}}\n", "\\newcommand{\\argmin} [1] {{\\underset{#1}{\\arg\\min~}}}\n", "\\newcommand{\\indic} [1] {{{\\mathbf{1}\\!\\sbrac{#1}}}}\n", "\\newcommand{\\digam} [1] {{\\Psi\\!\\brac{#1}}}\n", "\\newcommand{\\gamfn} [1] {{\\Gamma\\!\\brac{#1}}}\n", "\\newcommand{\\gamfnD} [1] {{\\Gamma_D\\!\\brac{#1}}}\n", "\\newcommand{\\transpose} {{^{\\top}\\!}}\t\t\n", "\\newcommand{\\deter} [1] {{\\left|{#1}\\right|}}\n", "\\newcommand{\\prob} [1] {{p\\brac{#1}}} \n", "\\newcommand{\\probC} [2] {{p\\brac{#1|#2}}}\n", "\\newcommand{\\qrob} [1] {{q\\!\\brac{#1}}} \n", "\\newcommand{\\qrobC} [2] {{q\\!\\brac{#1|#2}}} \n", "\\newcommand{\\gaus} [1] {{\\mathcal{N}\\!\\brac{#1}}}\t\n", "\\newcommand{\\gausC} [2] {{\\mathcal{N}\\!\\brac{#1|#2}}}\n", "\\newcommand{\\gam} [1] {{\\mathrm{Gamma}\\!\\brac{#1}}}\t\n", "\\newcommand{\\gamC} [2] {{\\mathrm{Gamma}\\!\\brac{#1|#2}}}\n", "\\newcommand{\\betad} [1] {{\\mathrm{Beta}\\!\\brac{#1}}}\n", "\\newcommand{\\betaC} [2] {{\\mathrm{Beta}({#1}|{#2})}}\n", "\\newcommand{\\dir} [1] {{\\mathrm{Dir}\\brac{#1}}}\t\n", "\\newcommand{\\dirC} [2] {{\\mathrm{Dir}\\brac{#1|#2}}}\n", "\\newcommand{\\DP} [1] {{\\mathrm{DP}\\!\\brac{#1}}}\n", "\\newcommand{\\SB} [1] {{\\mathrm{SB}\\!\\brac{#1}}}\t\n", "\\newcommand{\\wish} [1] {{\\mathcal{W}\\!\\brac{#1}}}\t\n", "\\newcommand{\\wishC} [2] {{\\mathcal{W}\\!\\brac{#1|#2}}}\t\n", "\\newcommand{\\categ} [1] {{\\mathrm{Categ}\\brac{#1}}}\n", "\\newcommand{\\categC} [2] {{\\mathrm{Categ}\\brac{#1|#2}}}\n", "\\newcommand{\\ncons} [1] {{\\mathcal{Z}_{#1}}}\n", "\\newcommand{\\bigO} [1] {{\\mathcal{O}({#1})}}\n", "\\newcommand{\\obsall}{\\mathbf{X}}\n", "\\newcommand{\\obsind}{\\mathbf{x}}\n", "\\newcommand{\\sobsind}{x}\n", "\\newcommand{\\iobsall}{\\mathbf{W}}\n", "\\newcommand{\\iobsind}{\\mathbf{w}}\n", "\\newcommand{\\obsbar}{\\bar{\\mathbf{x}}}\n", "\\newcommand{\\obscov}{\\bar{\\mathbf{S}}}\n", "\\newcommand{\\olaball}{\\mathbf{Z}}\n", "\\newcommand{\\olabgrp}{\\mathbf{z}}\n", "\\newcommand{\\olabind}{z}\n", "\\newcommand{\\ilaball}{\\mathbf{Y}}\n", "\\newcommand{\\ilabind}{y}\n", "\\newcommand{\\allparam}{\\boldsymbol\\Theta}\n", "\\newcommand{\\allhyper}{\\boldsymbol\\Xi}\n", "\\newcommand{\\mwgtall}{\\mathbf{B}}\n", "\\newcommand{\\mwgtind}{\\boldsymbol{\\beta}}\n", "\\newcommand{\\mwgtmix}{\\beta}\n", "\\newcommand{\\wgtall}{\\boldsymbol\\Pi}\n", "\\newcommand{\\wgtind}{\\boldsymbol\\pi}\n", "\\newcommand{\\wgtmix}{\\pi}\n", "\\newcommand{\\stkall}{\\mathbf{V}}\n", "\\newcommand{\\stkmix}{v}\n", "\\newcommand{\\expall}{\\boldsymbol\\Theta}\n", "\\newcommand{\\expmix}{\\theta}\n", "\\newcommand{\\hypexn}{\\eta}\n", "\\newcommand{\\hypexv}{\\boldsymbol\\nu}\n", "\\newcommand{\\gausmean}{\\boldsymbol\\mu}\n", "\\newcommand{\\gauscov}{\\boldsymbol\\Sigma}\n", "\\newcommand{\\hypgausm}{\\mathbf{m}}\n", "\\newcommand{\\hypgausb}{\\gamma}\n", "\\newcommand{\\hypgausW}{\\boldsymbol{\\Omega}}\n", "\\newcommand{\\hypgausp}{\\rho}\n", "\\newcommand{\\igausmean}{\\boldsymbol\\eta}\n", "\\newcommand{\\igauscov}{\\boldsymbol\\Psi}\n", "\\newcommand{\\ihypgausm}{\\mathbf{h}}\n", "\\newcommand{\\ihypgausb}{\\delta}\n", "\\newcommand{\\ihypgausW}{\\boldsymbol{\\Phi}}\n", "\\newcommand{\\ihypgausp}{\\xi}\n", "\\newcommand{\\dirall}{\\alpha}\n", "\\newcommand{\\dirmix}{\\alpha}\n", "\\newcommand{\\dircall}{\\theta}\n", "\\newcommand{\\dircmix}{\\theta}\n", "\\newcommand{\\gdaall}{a}\n", "\\newcommand{\\gdball}{b}\n", "\\newcommand{\\gdamix}{a}\n", "\\newcommand{\\gdbmix}{b}\n", "\\newcommand{\\Cwidthi} {\\ensuremath{C_{w,i}}}\n", "\\newcommand{\\Cwidths} {\\ensuremath{C_{w,s}}}\n", "\\newcommand{\\ICAdic} {\\ensuremath{\\mathbf{D}}}\n", "\\newcommand{\\ICAdicp} {\\ensuremath{\\mathbf{D}^+}}\n", "\\newcommand{\\ICAresp} {\\ensuremath{\\mathbf{r}}}\n", "\\newcommand{\\Segment} {\\ensuremath{S_{jin}}}\n", "\\newcommand{\\dimim} {\\ensuremath{D_\\mathrm{im}}}\n", "\\newcommand{\\dimseg} {\\ensuremath{D_\\mathrm{seg}}}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Clustering\n", "Regression and classification are very useful for when we have some targets/labels for training, however, what about situations where we do not have targets/labels? This is where unsupervised methods such as dimensionality reduction and clustering can help us out by trying to infer categories from the data (clustering) or a low dimensional representation of the data (dimensionality reduction). We have already seen a simple dimensionality reduction technique, PCA, in the first tutorial. In this tutorial we will look at some clustering algorithms and a latent variable model that can be both interpreted as clustering and dimensionality reduction\n", "\n", "Clustering is one of the oldest data exploration methods. The objective is for an algorithm to discover sets of *similar* points, or observations, within a larger dataset. These sets are called *clusters*. Similarity is almost always characterised by some distance function between observations, such as Euclidean $\\ell_2$. Some of the more simple algorithms require the number of clusters to be specified in advance, while others can also infer this from the data, usually given other assumptions. K-means was one of the first and still most popular algorithms designed for this task." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##K-means\n", "\n", "The objective of K-means clustering is to find $K$ clusters of observations\n", "within a dataset of $N$ observations, $\\obsall = \\cbrac{\\obsind_n}^N_{n=1}$, where $\\obsind_n \\in \\real{D}$. These clusters are characterised by their means, $\\mathbf{M} =\n", "\\cbrac{\\gausmean_k}^K_{k=1}$ where $\\gausmean_k \\in \\real{D}$. Each observation\n", "is assigned to a cluster mean using an integer label $\\olabind_n \\in \\cbrac{1,\\ldots,K}$,\n", "and $\\olaball = \\cbrac{\\olabind_n}^N_{n=1}$. The objective of K-means is to\n", "minimise the square loss, or reconstruction error,\n", "\\begin{equation}\n", " \\min_{\\mathbf{M},\\olaball} \\sum^N_{n=1} \\sum^K_{k=1} \\indic{\\olabind_n = k}\n", " \\norm{\\obsind_n - \\gausmean_k}{2}^2.\n", "\\end{equation}\n", "Here $\\indic{\\cdot}$ is an indicator function that evaluates to 1 when the\n", "condition in the brackets is true, and 0 otherwise. $\\norm{\\cdot}{2}$ is an\n", "$\\ell_2$ norm, or Euclidean distance. This is solved with two simple alternating\n", "steps. The first is the assignment step;\n", "\\begin{equation}\n", " \\olabind_n = \\argmin{k} \\norm{\\obsind_n - \\gausmean_k}{2}^2,\n", "\\end{equation}\n", "the next is the update step;\n", "\\begin{equation}\n", " \\gausmean_k = \\frac{\\sum_n \\indic{\\olabind_n = k} \\obsind_n}\n", " {\\sum_n \\indic{\\olabind_n = k}}.\n", "\\end{equation}\n", "These two steps are iterated until the square loss in objective has \n", "converged, and that's it! This is sometimes also referred to as the [Expectation-Maximisation (EM) algorithm](http://en.wikipedia.org/wiki/Expectation%E2%80%93maximization_algorithm) because of its relationship to Gausian mixture models - more on this soon.\n", "\n", "Unfortunately this is not guaranteed to converge to a global minimum of the objective function, and usually many random initialisations (random choices of $\\obsind_n$ for the initial $\\gausmean_k$) have to be attempted to find the best solution. This algorithm is very fast in practice though. Another disadvantage is that the number of clusters, $K$, has to be specified in advance. Perhaps more of a concern is that clusters are assumed to be essentially spherical in shape because of the Euclidean distance used, which is quite often an over-simplification. It is also useful to have probabilistic assignments, $\\probC{\\olabind_n = k}{\\obsind_n}$ rather than hard assignments. Gaussian mixture models solve these last two problems." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercises\n", "\n", "**1)** Have a go at calculating the hard assignments, $\\olabind_n$, for the data, $\\obsind_n$, from the initial means/centres, $\\gausmean_k$, provided. Also try to plot the results using the provided function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Importing some libraries and modules\n", "%pylab inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import tututils as tut" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING: pylab import has clobbered these variables: ['dist']\n", "`%matplotlib` prevents importing * from pylab and numpy\n" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Load X from a dataset generation function from tututils\n", "X = tut.load_2d_simple()\n", "K = 3 # There are three clusters in this dataset\n", "N = X.shape[0]\n", "k_means_cluster_centers = X[np.random.randint(0, N, size=K), :]\n", "\n", "# Now calculate Z from X and k_means_cluster_centers.\n", "# Tip: consider using numpy's argmin()\n", "\n", "#### SOLUTION CODE (TEST)\n", "dist = np.zeros((X.shape[0], K))\n", "for k in range(K):\n", " dist[:, k] = ((X - k_means_cluster_centers[k])**2).sum(axis=1)\n", "k_means_labels = dist.argmin(axis=1)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# Check your answer by plotting the clusters: \n", "tut.plot_2d_clusters(X, k_means_labels, k_means_cluster_centers)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GWKOaNe3EihWtSVycrQVbAlbL57MJH3xgb44da7UqVLB0n8+qut22HSwebHuR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\n3X9TGs9pULN582aGOZ1s43Cwp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hUrliv2p0+fjktXHgHVAQAAitWwcFFVbN+xDwmpHwNK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\nzmmImxMF3AK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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2)** Now have a go at calculating the cluster means, $\\gausmean_k$, given the cluster assignments, $\\olabind_n$, calculated previously. Again, plot the results using the provided function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Calculate k_means_cluster_centers from X and k_means_labels\n", "\n", "#### SOLUTION CODE (TEST)\n", "k_means_cluster_centers = [X[k_means_labels == k, :].mean(axis=0) for k in range(K)] \n", "#### END SOLUTION CODE (TEST)\n", "\n", "# Check your answer by plotting the clusters:\n", "# TIP: You may need to re-do the labels to make the vornoi cells match the labels\n", "\n", "#### SOLUTION CODE (TEST)\n", "dist = np.zeros((X.shape[0], K))\n", "for k in range(K):\n", " dist[:, k] = ((X - k_means_cluster_centers[k])**2).sum(axis=1)\n", "k_means_labels = dist.argmin(axis=1)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "tut.plot_2d_clusters(X, k_means_labels, k_means_cluster_centers)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/HupQ/tPa1KvH9wAuAXgI4FSAt1xzTajDKlZer5dz587lyy+/zPnz5+dZxuPx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\n7XazcetGtD5noXEuqDSXKecx0Le1ndZAjevXr8+WtTudTpasXJL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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3)** Let's tie it all together now, and implement the K-means clustering algorithm in its entirety, you can use the following code as a template, or you can make your own from scratch. Once the algorithm works and converges, plot the final result to see how it differs from the above plots. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Funcion template -- fill in the gaps\n", "def kmeans(X, K, maxit=100):\n", " \n", " # initialise\n", " N, D = X.shape\n", " M = X[np.random.randint(0, N, size=K), :]\n", " obj = np.finfo(float).max\n", " \n", " #### SOLUTION CODE (TEST)\n", " dist = np.zeros((N, K))\n", " #### END SOLUTION CODE (TEST)\n", " \n", " for i in range(maxit):\n", " objo = obj\n", " \n", " # TODO: E-step, update indicators \n", " # TODO: M-step, update means\n", " # TODO: Calculate loss function i.e. obj =\n", " \n", " #### SOLUTION CODE (TEST)\n", " for k in range(K):\n", " dist[:, k] = ((X - M[k, :])**2).sum(axis=1)\n", " Z = dist.argmin(axis=1)\n", " \n", " M = np.array([X[Z == k, :].mean(axis=0) for k in range(K)])\n", " \n", " obj = ((X - M[Z, :])**2).sum()\n", " #### END SOLUTION CODE (TEST)\n", " \n", " if (objo - obj) / objo < 1e-5:\n", " break\n", " \n", " return Z, M" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "# Call your kmeans function on the data\n", "\n", "#### SOLUTION CODE (TEST)\n", "k_means_labels, k_means_cluster_centers = kmeans(X, 3)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# plot the final result\n", "tut.plot_2d_clusters(X, k_means_labels, k_means_cluster_centers)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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cNWhcE30HPP/A61yKevXqAQCKFy8Oj/sk4NnqO+9NgDPzb0RFRQUoYiFufAFa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\nmDEDdrs92fsVK+ajc7ucKBj4HgL95sNk9gYYCjgOQNKPQts2r6XJ/59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5qKj5HhoI3717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\nXgqPftFEkUVKR9DpdPKnn36iTwkLhdqg4VVPwKL8ABoDjfz99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7rcgs798FijxzJIFcgr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\ntm0MDw9/DFEKCjoQLW0EAoEg//nrr79YxNOTCwBeAThWo2GN8uU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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**4)** K-means is often used to quantise various datasets, for instance, we can use it to \"compress\" images by clustering the RGB data into fewer colors. Open up the [kmeans-image](http://localhost:8888/notebooks/kmeans-image.ipynb) notebook to run this example (if you are running out of time, feel free to move on)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Gaussian Mixture Models\n", "[Gaussian mixture models](http://en.wikipedia.org/wiki/Mixture_model#Gaussian_mixture_model) (GMMs) can be viewed as a probabilistic generalisation of K-means (i.e. probabilistic cluster assignments) with the added ability to learn ellipsoidal clusters. In a GMM each observation is distributed according to a weighted sum of $K$ multivariate Gaussian distributions;\n", "\\begin{equation}\n", " \\obsind_n \\sim \\sum^K_{k=1} \\wgtmix_k \\gausC{\\obsind_n}{\\gausmean_k,\n", " \\gauscov_k}.\n", "\\end{equation}\n", "Here $\\wgtind = [\\wgtmix_1,\\ldots,\\wgtmix_k,\\ldots,\\wgtmix_K]\\transpose$ and $\\wgtmix_k \\in [0,1]$, with $\\sum_k \\wgtmix_k = 1$. $\\gauscov_k$ is a covariance matrix that describes the \"spread\" of uncertainty in the Gaussian distribution, which is usually ellipsoidal in shape. Here is an example of what a GMM may look like in two dimensions (we have plotted the 65% probability mass contours for the Gaussians):\n", "\n", "![2D GMM](clusters.png)\n", "\n", "The weights of each Gaussian have in this mixture have not been explicitly represented, but they are implicit in the amount of observations (darkness of the voxels) they are modelling.\n", "\n", ">The following is a brief explanation of a GMM, it is more complex than K-means, so do not worry if you don't understand it fully - a full grasp of GMMs is not required for the exercises.\n", "\n", "We need a way to explicitly assign observations to mixtures or clusters. The same latent variable, $\\olabind_n$, used in K-means is introduced here as an auxiliary variable for this purpose, by inducing the following conditional relationship;\n", "\\begin{equation}\n", " \\probC{\\obsind_n}{\\olabind_n} = \\prod^K_{k=1}\n", " \\gausC{\\obsind_n}{\\gausmean_k, \\gauscov_k}^\\indic{\\olabind_n=k},\n", "\\end{equation}\n", "so given a cluster, $\\probC{\\obsind_n}{\\olabind_k=k} = \\gausC{\\obsind_n}\n", "{\\gausmean_k, \\gauscov_k}$. Now it can be seen that each cluster is\n", "modelled as a single Gaussian with a full covariance matrix. This auxiliary\n", "variable is itself distributed according to a Categorical distribution (same as a Multinomial distribution but with only one observation);\n", "\\begin{equation}\n", " \\olabind_n \\sim \\categ{\\wgtind} \n", " = \\prod^K_{k=1} \\wgtmix_k^\\indic{\\olabind_n = k}.\n", "\\end{equation}\n", "The joint distribution for this GMM can be written as,\n", "\\begin{equation}\n", " \\prob{\\obsall, \\olaball} = \\prod^N_{n=1} \\categC{\\olabind_n}{\\wgtind} \n", " \\prod^K_{k=1} \n", " \\gausC{\\obsind_n}{\\gausmean_k, \\gauscov_k}^\\indic{\\olabind_n=k}.\n", "\\end{equation}\n", "\n", "Now we need an algorithm that can learn the labels, $\\olabind_n$, cluster\n", "parameters, $\\gausmean_k$ and $\\gauscov_k$, and mixture weights, $\\wgtind$. Such an algorithm can be derived by maximising the *log-likelihood* of the data, \n", "\\begin{equation}\n", " \\log \\prob{\\obsall} = \\sum_{n=1}^N\n", " \\log \\sum^K_{k=1} \\wgtmix_k \\gausC{\\obsind_n}{\\gausmean_k,\n", " \\gauscov_k},\n", "\\end{equation}\n", "which is acheived by setting the partial derivative of this equation with respect to each parameter and the labels in turn to zero and solving for the parameters/labels.\n", "\n", "Firstly, maximising the log-likelihood with respect to $\\olabind_n$, yields;\n", "\\begin{equation}\n", " \\probC{\\olabind_n = k}{\\obsind_n} = \n", " \\frac{\\wgtmix_k \\gausC{\\obsind_n}{\\gausmean_k, \\gauscov_k}}\n", " {\\sum_l \\wgtmix_l \\gausC{\\obsind_n}{\\gausmean_l, \\gauscov_l}},\n", "\\end{equation}\n", "This is known as the *expectation* step, since the labels are probabilistically assigned their expected value given the observations and cluster parameters. \n", "\n", "Next, the parameters can be found by maximising the log-likelihood \n", "with respect to each parameter; \n", "\\begin{align}\n", " \\gausmean_k &= \\frac{\\sum_n \\probC{\\olabind_n=k}{\\obsind_n} \\obsind_n}\n", " {\\sum_n \\probC{\\olabind_n=k}{\\obsind_n}}, \\\\\n", " \\gauscov_k &= \\frac{1}{\\sum_n \\probC{\\olabind_n=k}{\\obsind_n}}\n", " \\sum^N_{n=1} \\probC{\\olabind_n = k}{\\obsind_n} (\\obsind_n -\n", " \\gausmean_k)(\\obsind_n - \\gausmean_k)\\transpose, \\\\\n", " \\wgtmix_k &= \\sum^N_{n=1} \\frac{\\probC{\\olabind_n = k}{\\obsind_n}}\n", " {\\sum_k \\probC{\\olabind_n = k}{\\obsind_n}}.\n", "\\end{align}\n", "This is called the *maximisation* step, because the value of the\n", "log-likelihood is maximised with respect to the parameters given the estimated latent variables. These two steps are iterated until the log-likelihood converges. This is known as the *expectation-maximisation* EM algorithm. For all intents and purposes it is the same algorithm used to learn K-means. \n", "\n", "Unfortunately this algorithm has a few drawbacks. Like K-means, it is only\n", "guaranteed to converge to a local maximum of the likelihood function. Also, the Gaussian cluster updates require a full $D \\times D$ covariance matrix inversion, which has an $\\bigO{D^3}$ computational cost. This can be circumvented by using diagonal covariance Gaussian clusters, or other distributions such as Multinomial, that have only $\\bigO{D}$ computational cost. Though some expressive power is lost since inter-dimensional correlation is not modelled.\n", "\n", "Another drawback is that this algorithm still cannot choose $K$. One way to\n", "allow the EM algorithm to choose $K$ is to include a penalty, or\n", "regulariser, for having too many parameters. In this way the maximum-likelihood fitting objective can be traded off against a model complexity penalty. Some popular penalties are the [Akaike information criterion](http://en.wikipedia.org/wiki/Akaike_information_criterion) and the [Bayesian information criterion](http://en.wikipedia.org/wiki/Bayesian_information_criterion). These criterion tend to under-penalise model complexity, and are sometimes computationally costly to calculate. Another way to choose $K$ is to use a fully Bayesian treatment, where we place prior distributions on the parameters (e.g. mean, covariance and weights), and then optimise the [log *marginal* likelihood](http://en.wikipedia.org/wiki/Marginal_likelihood) of the model, which also naturally incorporates a penalty for complexity. In the case of mixture models, the Bayesian learning algorithms can have very little additional computational cost compared to EM. For more information on EM algorithms for mixture models, see (Bishop, 2006) Chapters 9 and 10.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercises\n", "\n", "**5)** Run K-means on the following dataset with 3 clusters and visualise the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load X from a dataset generation function from tututils\n", "X, truth = tut.load_2d_hard()\n", "\n", "#### SOLUTION CODE (TEST)\n", "labels, centres = kmeans(X, 3)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "tut.plot_2d_clusters(X, labels, centres)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/vdcDBw4wfvznhOzjwH0NUecL/La/ENOnTwegaNGiJKIrwIStExJrgDgpKSmn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2IQorxZMMYIgLfeeCMH33wzEzWNyYrCeEXhvXfd9T/+dBQd7rj7Dvqqe9QngM5VJrMqZXHfvn18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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**6)** Now cluster the same data with a GMM, why do you think these results are so different?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.mixture import GMM\n", "\n", "# Hint, use covariance_type='full' option\n", "\n", "#### SOLUTION CODE (TEST)\n", "gmm = GMM(n_components=3, covariance_type='full')\n", "gmm.fit(X)\n", "labels = gmm.predict(X)\n", "means = gmm.means_\n", "covs = gmm.covars_\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# Plot\n", "tut.plot_2d_GMMs(X, labels, means, covs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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m6bkHK82x1MwTLK38eZaRWdVmz55dUrZBg1ZG2pRtwuDd1rdvv73ynYjIvoEG\nm4vs/375ZQWReAd3UkrAPO1ZsXzlPmvPDbfCV9Pc1x4PvP4CNCgeez169HDSvb1J8T4NicXFCwUD\niRVAkC+++Ga7+po1a8bECe9xYocPadVoMGnhAqKxilD0Ck5OHchuBBhkbMEfvoCaNVJJT4uT6e/F\nzX3OZevWfAoSt0KgBwQugNRnIPYx+E6D0EDAD4GLwHIh+iRYNkRfw+f5hUrpQ3DikyH9KwjdTIFn\nPDNnLmPatGk7PPejWsEbL4DX676PxJqSx0RybSw5RYO4ptctJWUTlgC82+ztI5HY7/7xKiJ/IQUp\nkX2gU6djCPueh8RGsCKCzhA6djx6n7Rl+Eh49qXS9w8PgpM7lb5v164dCxfO4uWRdxDwLYW8M6Bw\nEOSehC94GHXr1iwpG41G6XFJT4LBMFmdTqb1kc1o3qwRW/K7ku+ZCek/4wROcZ8GTJsMnjSKvP9m\n65ZNZGevZcuW1dx7b39SUkI4zpbSRiQ2gW2FojFQcBsUvQOWQ526h9P80Nfx5VfDKbwGT+AEcgua\nYASB4lnQHR8eXxXy8vL+8Bp0OQUG3r7NhpKA25ZVq1aXbO7b52rCXAnRcRAZTtj7JFdcccmuX3QR\nkV2wr3vpRPY7iUTCbrrpVvP5gubzpVhWp9N3OA/T3jb1KzN/5dLbWqecvd4eeuhhe/HFF62wsHC7\n8l9++aUFQ2nmDx5uofDh1qJle8vPzy/5vF+/uy0l/VQjY7ORsdLC6S2tbr0WRupH28wVNdY8vkNK\nbmuS+qHVqdukzHHmz59vaemVzUkZYIQeN38g03yBw9xB6ZkJI3iX+QIVS+Ziat/+VCM8omReKDy1\nzRO6yUifZ57UIVapUm3bsmVLmWPE43H77LPP7K233rJVq1ZZXp5ZuTp529y6LLJQene77LJrS/ZJ\nJBI2YsQL1uHYLnbqaeeVWZxZRP4e0KLFIgeOSCRCUVFRmakD/irRKDRqA0t/dd/XrbWJdUvaEHPO\nIuCZzeGNYnz5xacEAoEy+61atYopU6aQlpbGqaeeWubzZs07MHfpg+58SQDRl6gQGsDW/LbEg2OA\nBCmJ8wn5p5Od7SVBEJ9nLR9+8DYnnXRSmeMsWLCAoUOHkV8QIVaUy+i3GhTf1gMSK0mzI8nJXgvA\nYQ2P4ufVT4KvuFev8GFqVBxJPB6jQf36jBz5BA0bNiypOxaLcVrnc/l22i94fPVIFH3DhE/fY/b8\ndlzTt/iJz0hZAAAgAElEQVRn0baS1fpGxr/71D75fkRk39jVmc11a09kHwoGg/vs/6SfH1UaoiqU\nh/XLTqTA8zZFvsfIcz5l/kLjnXfe2W6/GjVq0L17d7p27bpdyKpRvSpOYmbphvh0tmQHiUd/guzK\nePOqcUTTbAoLIsT9/bHgo/j8NZg7d/52x2nUqBFPPz2EF0cO48QTTyDo+RQs6n5Y9BEFBTHWr18P\nQNczTibFGQiJ9RBfRNj3Ao8OHsia1Yv48stPSkKUmbFixQqGDRvGN9M2k+vMIDvxHrnxYfS4pBdX\n9HBo/FvecjJpdfRLClEiss/t4046Efm9ggKzmk1Kb+k9PDRuHo/PfRKveFtKZk97+umnd6neuXPn\nWkZmVQtnXmyhtDPM8WQY6avc23FpM83jDVqDBk2N4D3bTI3wpdWr18Jyc3Ptgw8+sPfff99ycnLK\n1JudnW2OJ9Nw6hje9gbphrehDRgw0MzcJVr+79JrLBhKt9S0ivbggw9v17YtW7ZYm7ZZlpJSxbze\nkBHqV9qGjLUWDpc3M7N33i+9LoEqZkuWJXmRReSAhJ7aE5H/ZfiLsHKV+7paVeh9lYcOHU7CH78F\nElsgNgWK3uH444//wzrWrVtH797/5PQzLuQ//3mKRCJBkyZN+GneDwwdnMXVV9QnLb0NeKu7g7c9\njbCElyXL8oFYaUWJJaxbt5ZKlQ/lnH/8kwsvfpjDm7RmzZo1JUU+//xzzDkUwq9D6B5Inw3xpaxZ\nswGAQCDASy8+Q2FBNrk5G7jjjn7btfeSS65ixqwiCpxh7m3G6GhIrAQzvPH/0OrItgCc1QWOaePu\nE41C/wd261KLiOy2fR0uRWQbeXllJ6Ec+oy7fcOGDdbphK4WDKZZ1Wr1bfz48X9YR3Z2ttWq3dD8\naTca4VcsnH609ep1U8nniUTCxowZY+FwphG6w0j93PBUM5yqBpluj1LoESP0uEHYCA1054zyNDZC\nj5svtZ/16NGzpL4333zT/Ckn/G4OK7+9++67O3XOb775ljmedMN/qeFtY/hON3znmeMELBgsZ02a\ntLGVK1eWlP/vl6XXxylvtmjxLl5kETlgocHmIvJnBj8B/Qa4r2vVgEXfQyhU+nlBQQFTp04lHo/T\nsWPHHY4Rev3117mq14vk8pG7IbEZb1415syZxaxZsxg+/GWmf7+cGK2J5r2L48RJ+HphwX8D+ZDT\nAZxMSMzHCZyFpTzr1hOfBXndIOVJ6lW9m+nTJlKxYkU2bdpEw0Yt2ZTXC/MeC5GHadZ4Az/O3n4O\nqx0pV64aW+Pvga+tu3Zg7rH4/T5u6duJf/7zJipWrFiy6HI8Hufll1/m3kc7sHSlO2BqyL/gpl5J\nXW4ROcDs6mBzLVoschDJyYGHhpa+v+vmsiFq06ZNtG3XiXUbUgE/GWk3MX3aFKpXr16mnng8Dmyz\noxPEzGh15LF4fE3Jz1sC6Qvd+aLCCyGnOYR6FM/PlOpOtBn5D46zFY8nTLykoiBYHCJPsHxFnMMP\nP5IZM76iZs2aTJ82heuvv41lv37A8ccfzeBHxu7UOScSCXJyNkB6q+K2+sDTkKqVv+Kuu24nNTW1\npKyZce65lzDh81/Jj1cFvxukPp6oICUiO6YeKZGDyIOPwl33u6/r1oaF38G2D9717v1PRrxcQNT7\nNDgOvqI76HzCEk488Rgcx+G8886jRo0abNiwgYaNWrK54DrwHI0TfRAnPo1E+HNI/ALRVyFtmyf+\ntoQh+E9Iud998i73eIjPAac8HmcTieBD4GkABX0hsQz8XSH8Mt7YPVzWPZcRzz253bmsWbOG3tf3\nY968RbRv35ohj/+b9PT0HZ73UW2ymPlTB+K+QRD/kWDsFL784mNat25dptycOXNod3QX8n3FIbBY\nKJRg0y8eUlKSv/YicmDQ9AciskNFRfDY06Xvs46eyooVv5Qps3DRMqKJTiUze8foxAcfTuS2/nO4\n9e6ZNG12FIsXL6ZSpUo0qN8Ap+gVKLwTsxCJRAR8rcF7FMSnQOwLt3ep8FEgCJGncXIaQ3ZdcKpA\nxgbwnUwiEefkjp9x1OGDqVY1BimvQOrr4ASJW3NWr96w3bkUFBRwxBHH8Pb4isz/9UFeeHkDRx9z\nIn/0j7bx742hReMvcHJCpHEyL7341HYhCiAnJwdfoEqZEAVQWOhh6te7eMFF5KCgICVykPj2O9i4\nyX3t2DreGPsCRxzRjqlTp5aUOa5jG1K8I8DywaJ4Yk+QoCkRzxAi3hfIjlzHXXc/QEFBATNmfIOl\nzob0byB1PI4nA6LDwVsPCELe2bA16PZOeY8A/9n4PGuBVHfdvJzm4D0UjzfMp5+8xfTpE7m656WE\n/U9CYgMkVhC0h8jL3cSQIUMoLCwsaefbb7/N+o0hCA8B/wkQfpV58xaycOFCXn/9de69917eeuut\nkmBVvXp1vv9uCtFIIdnZ67nggvN3eI2OOOIIUgKb8BQNgfhSnHjp+nyffLbHvxIR+RvQrT2Rg8SA\nB+G+R4rfmLm9TpHXObTWQyxa+AMARUVFXNj9CsaPHwc4JBI+4rEoEIfgteA5hk5Hj+aTT8aSEk4n\nHngH4p+DxQh5PyA1tYDcnBwikQhk/AxOZXD87vp4keH4/A4xz22QWOKum4cBRVx73bU89eRjxONx\nrr2uLy+/9ALxuOF4yxNzbiIUmErzw3P56ssJbNq0iUaNm7Nla0bxOCwHrBCyK3PiiVl88+1q8mOn\nkuJ9n4u7H8+zz/5nl67Tzz//zMU9erFo0QKq176MecvuA6BJY5i7g16peDzOxx9/zNq1a2nfvj2N\nGzdO9isSkf3Art7a+yvsqycYRQ56S5YssRtuuNkuvbSXNW6zeZvpAwoM/zkGQQOf3XLLnZZIJEr2\n27Rpk51zbg/zplxiZBYZGZsM75HmD9WxgQPvtTp1GpnHm24QMoJ3GMFB5njSbNKkSbZ+/Xprd3Qn\nw/8Pd228tG8Np5pB0IKhykboYcOpZQRucNfFy9hkgVBzGzVqVMnxc3JyzOsLGRnrS9bPS8tsZRMm\nTLAePXqaJ+VSgwzD38MIjzZ8p5rjSbdQSnUjfbHhPd7AZxCwW2651X788Ud77rnn7M0337RoNLrd\ndUokEjZq1Cjr27efDR8+3IqKiiw3N9d6XnObOeUjJdft1+Vl94vFYnbSyWdZWsaRllruEksJV9rp\nKRlEZP/ELk5/8FfY19dE5KC0bNkyyyxXzTzh24yUYUZmrHRRX38vw3+BOx9TxjpLTW9pL774Upn9\n69RtZqT9UBq+Up6wmjUPtXLlqrkBinQ3EKX/Uvz589ap05lmZvb++++b11fNDTtOHSPlGfP6QuYP\npBreLMOpbaT/VFp36BG77ro+JcfesGGDBYKZbluLy2RU6Gzjxo2zQw9r7S6CHHzAnZPKqWM4Yevf\nf4BllDvS8J1kBG81ggOKP69pOGELpZ9paZntrW27ThaJRMqc6xVX9rbU9KOM0IMWTs+yU087xzoc\ne4qF0i8sDXPlzJ56rux+b731lqVltHXDZjkz0r6y8uVr7KVvVET+CmhmcxEBeO6558mNXkAi8G8I\n9gLHC0Dtmush9hoEbwEnCJ7K5MV6MmnSl2X2r1u3Dk7iv+4bM4hNYM06D1u2FkH6PMjcCsEbIL+7\nW8ZThbz8AgBOO+002rdvSTijLQSvINU3lFv73caA/nfj8CM46RCbWFx3HGIfUbVqeZ58chhHH3Mq\nF110NQ3qH4Y/fiPEF+BEn8WTmEksFmPp0l8g8iyE+kHaVLz+ytxwfS9uvbUfAf8Gd1Z23/FQNBoy\nFkHmCggNpTBvKblMZe5PHkaPHl1ynqtXr2b06FfJ80yC0B3kez5h0qRv+fabbyj0jAJPpZKyn05a\nX+YarVmzhrjT0p1SAcDbmq1b15JIJPbU1ygi+znNIyXyN5WfX0g8UX677c0aryJYVIufV0wE31Fg\nRtD7LYccUr9MueeefYz27U+kyD4mL28liXgh8cA14PxcPKAcCPaBwjug4AFCnue59P9uBcDr9TJp\n4nuMHDmSJUuW0a7dgzRu3Jjjszrj8yYoiv4CBf0h8gokloKzlUmTEnz9zU8UxRoC6/A6P1GvfgEb\nNrxDg0YNeXHkpzz4ryHEvP0h9hlkVwOLkZKezuDB/yIQCPDfKR/T/IijiRd9Ar5TwVPZbWfg/6Cg\nF+BQGGtVZvmZvLw8fL4MIhRPneAEiMUrQ2ITEGfbn8mCwrI/mccccwwU3QveG8DTBG/sAVq06oDH\no3+jihwsNNhc5G9q+vTpZGWdTj5Pg/+Mkkf6A4n78dhsIrkfkpLREY9TSPUqW/hu+hQyMjLK1LFx\n40amTp1K7+tvZdWW54HNUHgPpH3t1pffF6Iv4PjbYLEfwHKpXKUGb459meOOO65MXU2btuOnpZdh\n/ktga2NwUsDWgbchjq81hhfi8yE2DXwdIDYbPNUIBTfQtm0jqlapwNKly5n+40kQHAS2Foo+4Khm\nYxj5whA+++wzypcvT2pqKhdddAWRogqQPhOcDIiOhcIBkDqOcOJEPvn4NY499lgAYrEYhzVsydJV\nZ0LgSih6DwoHgbcdEIPQIPC7Zc84NcH418qGpFGjRnPNNb2JRPNp2vQoPvpwLDVr1tw7X6qI7HUa\nbC4iJSZMmGBNmnffZpB56cBpb/gu63jcKfbWW29ZXl7en9Zz/Q23WEr6GUbGZneQuqeWOf6O7lip\n38ZIZaw2nEpGyvOWll7Z1q1bV6YOny/ojo8iwyDN8F9opM8pbdtvfxkr3fFNTiXDqWukzTJINbwd\nDW9rw0kzQv2M4GBLCVexgQMHWjhc2YLpvSw140RrfsTR9sMPP9hxx59igWBlSy/X1rzedAOPBYJp\n9sQTT5dpVywWsxYtjjKc6u6geO8Jhq+LEbjdIN2cwLklbcs6Y8fXJ5FIWGFh4W59VyKyf0BjpETk\nNyeddBJ33v1q6QbbUvIyzhEEg2mcc845hMNhADZs2MBpp51LZrnqNGzUmq+++gqARx6+j66dK+LL\nr4bf+ZiK5RN4iIKnVultPk818DQEbwPwNOLkk8+k8eFt6Nv3n+Tn57s9UN4O4KkCoXsgdQx4m27f\naE8NSBkE4VfBNkBhf3csVvp/If078J1NkJEQuQ1LRHj88WfId14j4h1GnjOBxUvL89133zFl8ifM\nnjWVj95/jKeeepRQKB2/vwL9+9/L11+78xhY8ZIws+caBK8rPp/DINAdYh+Atznmu7ykadk5O77O\njuMQDAZ345sSkQPVnhgjtRTIxh1MUAS03QN1isgesrk0O+HjC2KJjkCMsHcwXc+4tEzZM864gB/m\nNqXIM53sFd9y8iln8cD9d1G1alU6dTqarKx2mBnX39AfI8+dODP6HgTOdGcyTywEpxa52fOYNf9q\n8DZlwdCbeeut8TieMOAB37EQuuV/N9x/MoT+DZEHINi7dHt8PhHnfMgcQmFiAYXZHSElCtFREBlB\nvq3ms88+p2fPnjRq1Ai/38/Jp3Sj0P+lG9yKxtPl9HNZt3YZCxYsYMLEL7DU4iVhgjdBdj2Izwa8\nkPouTmx0yT9PdxSktm7dyuzZsylfvjxNmzYtWfxYRA4Oe+J/8UuA1sCmP/i8uKdMRPaFbdfXa3n4\nROZ9fxaO46F37+t55JEHSgZG5+fnk5FRgXhaXskTfuSdTtC3gUh0Cx4nii/YlGj+ZEh5wV0br/BW\niM3A/TdUjGDq8cSLFhCL14bwCCi8DxKLIT4LMHAyIW3ijnuidsQKYGsVd9mZtI+AGGytCJnr3LoA\nCq7HiX2MJRIQfgqIE0xcw9jXn6Fr166MHz+eHpcNIzvxYUm14aIa/DTvG1asWEHn028km+9Kj7m1\nBh5PDt5QdxwnByuaSVHKTwBUqWSsXVT6szlr1iw6depCgjoURZdzdrfOjBr1rMKUyAFsX621p18N\nkf3Utr0o5593EoWFuRQUZPPoo/8q83RZIBBw39sqd4MlIL6GiKc/pM0lYbWIRlPB3xMC57vr6oVf\nACfOES2a8dlnHzL00bM58YTm4D3WXZjYqQAEi0NPBjjVdz5EgXs7MHAZxKfB1gzYWt6tLzajpI2e\nxHeEggWQ8gj4O4P/DCLOgwwZ+jyTJ0/G6/USi8yExDp3n9gMLJFPlSpVmDt3Htlb57vrAcaX4one\nT80aacyb+x339W9ARsrXmK9zSXM2bIxgZkyYMIF69Y/gyCM7sjn7ULYmPiHft4Bx47/n7bffTuZr\nEpED1J64tWfARNxbe8OB5/ZAnSKyh2wbpDLS+cPeEp/Px/3338/Ae4+nIHoxFE0BJ9WdRsDxuVMl\nxBcD2ywinFhPOBzi668mEQ6H6dSpE0ceeSSffnIc5j0Zil6FUH9wakJ+T/Alceffd5R7q80KwdsS\nEvMgrxv4z4bEbCpXzubww1sz+ZttTtRymDL5v3w/YyPRggW0adOa6d8dQSDUnGhiBi+//DyLFy/m\npj53QXgsRAZD5CF8Afjqq++oU6cORx99NJHoWGK+R0tP10JMmjSFbt0uIt95CdKaQcFdkH8VpL5B\nJHYiixYt2vVzFJED1p4IUh2A1UBlYAIwH5i6bYGBAweWvM7KyiIrK2sPHFZEdkZObunr9PQ/L9uh\nQzsscS8BXqUosRbz9wS8boCKjoXQQ1B4HZ7Ca0nQkLB3KI8/9gDhcJhp06bRp88dzJg5F8fjYLEp\n7kSgwRvdymNfAIV/dvg/4APLhrTP3bmjUl7CifTC74yjboPaTPt2OjNnzmTa6eeTX7gZiEFkEPHQ\n42xN9AT/Wr77vjWjXn4Kj8fD9OnfMXnyl0yZMhlv8ESwzm5PlhmJvFTKl3fn3nID5++GJVicqV98\nQcJ3Hni6uNvCT7u3HxObCHrep3nzwUmco4jsK5MnT2by5MlJ778ngtTq4v+uB97BHWz+h0FKRP5a\nv++R+jMXXnglhZ6XwH8W+H+B3NYQHVb8qRcKrqZChUr07FmBjZt+4exuT9OlSxdmz57N8VmnUVgQ\nL54Eszqw0p21/DdOBYhP3vUTiC+GxHKIzwUMIndw2GGH8OroEbRq1QqPx0NWVhYTJozjmWdeojBS\nyLhxXoqCPd39PVXx+doQjUZ58F9D+XlpLQqL2hHyjCAe2wopueCkQfx7AsEQqampALRr147q1YyC\nlQ8Q890NQEpoHfUOqYnX+aJ04efEEnA8BKMNuPraXnTp0mXXz1FE9pnfd/AMGjRol/bf3bFNYcAL\n5ACpwKfAoOL//kaDzUX2oU5dYfIX7uvzuzzHYfWW0aJFC4455hhSU1OZP38+1atX55BDDsHnCxBP\n2+qOTQK8hafjJGYQ878CpJLiXMVDD17LDTdcV1J/Tk4OzZofza/LFgBBCFwCKcMgvgBy27oTWnpq\nQ/6twDrIWOhOcbAzLA45h7ljq6wAbDOEhxJw3uPQurOZOeNL/H5/mV3i8TiVq9Rhc2S4OxFp/BfC\n8fY89NDd3HH3a+QytTgArcbJqUtKam18gSOIFX7B6NEj6NbtrJK6Nm/ezD8ufo9JX7tPN55+Spw3\nRkZofdRxLF1Rh0isGSmekdx+Wy969rySatWqJfs1ich+YlcHm+9uj1RV3F6o3+oaTdkQJSL7WHaO\n8dtvwhvveCAyFq9vLH7vWjyOD3+wPpHCJfS75SYOb9Kaeb88Q8LfFxIrCfrmcUPvSxn75s3EYjF6\nX3c5TZo0YvDgwdSvX5+zzz6bnj1vYuXaFpD5PeR2Bn9XN6j4Grvr+RUOAMoDW8ApD5EnIOVfO9f4\n2IdAevF0BB5I/xkiA4kWTeCnn3IZMmQI/fr1K7OL1+vl/fFj6XL6ucQT6cSK1vHw4IcoXz7dnevK\nin8fnUp4vB7Gv/scmzZt4sgjH6V+/bLL5JQvX54OHS9lkjvtFE0bewmHw3w3fQovvPAC69dv4IQT\nRmm4gojsVftwflKRg9Py5cvtlltut6uvvsGqN9rwu5nDNxukG05FI/Xj4m1rLZxa28aOHWtpaVUN\nJ2yQaqeedmaZegcOfMBS0+qbP62PpWYcaeeff6lVqdrASJ/v1hO81Z35PLPISBlmEHZnJydkeI83\nAle5M5unfrL9jOa//0tfZDjlDILujONOdSNwjeHr6n6W+qkFQ5Vs2rRpO7wGeXl5NnfuXNu0aZOZ\nma1cudLSM6oY4ZFG+jwLpF1uxx3f+X9ey39cVtqmkaN3/jt4//33rX3706xtu5Pt1VfH7PyOIrJP\nsYszm2utPZG/mZUrV3LEEe3YWng+8URNPP4mJLylj/BjBltrA5ugXH7J5jSnOydnxfhk4hryGQXk\nEbZzeG74QC66qDtbtmyhatXaRIMLwFaCbSSFa6hRvSKLV/VzZwNP5EHO4cUzqJu71p23ARRNdp+0\nC1wC0TFAgTtwPXhlyW3E0vbF3VnF8y8F8wB+8LYBJwqxb4vrPAQAT+QO+t8aYuDAe3bq2syYMYMr\nr+rDqlWrOK5jB557biiZmZl/uk/z9jDHnUaKbyZAu6P+93EmTpzImWddQgFDwQkS5iZGPPdvune/\ncKfaKSL7zl99a09E9jMjRjxPdmE34oHHAEjEt3kcP7EFIo+CUxEocBfo9Z8JiZUk4lOZNbsi+Ymh\n4D8EgPzIrbz19sclQcrry4CC69wpCJyqFCa2cP4/LuaJJ27C+BDHWUWggoPXU56NW+uQ8DZwj+vP\ncgd0h25xxzkVvQaFd0LhHRC4FHxtcJ8OXATR4e5UBxRCeAzE3sKJjScYPoPCXMB+Bdz2+X3Lycxs\nvdPXplWrVvzw/ZSdLh+LwYKfS983Pmzn9nvq6ZcosEEQPB+A/Kgx9D/DFKRE/oa01p7I30xeXgGx\nRKXSDdv2+MSnQGQo2BIgTih+GRnWjGC0Gf3v7kulSpXBFpYU9zqLqFypHAC1atUiFIyDbYL0uZA+\nFQvey8effMmcOdP5z6OdeP7Za1ixfD5Tp36K35kPiV/dimJfAQXgVHMDFQlIXwDpX7mhruBBPJG7\n3bpDj0LGPPcpP19rSHmZlJQq9OvTgFtu7klK4gIovIdA7P+olDmNyy67bK9cx1gsxg19nuT/2Tvv\n8CqqrQ+/c3pNQhKSUELvHaRLERSRJqD0IkoRL4iConyKYkFEbFy7gF1BEBDwSi+CBaS3gALSQTqE\nkHbarO+POaZcWvDS3e/znCdnZvZee82cA/ll77XXCgSM45hoHxeZvMrCYjaTO9VDJhaL+XK7qFAo\nrgPU0p5CcZOxevVqbmvSmnQZB6bCOLQPyDR/DIDdshtT+q2Egml06NiRD95/k927d5OQkMDmzZtp\n06Yjmb4gWLujaank8yxlw/oVJCYmAtC794N8OqmAEUEgW0ErRrRnCidO7DvLjxIlKrN7934jwFs/\nAI4XwRQL6Y8aDSwtwfUqEI0powYW0xH8tp+MzOf+qZDeH1yfgeU2tNTylC4Vx2efvY+u68yePRez\nWcPtdnPs2DEiIyOpUKEC7du3x2y+PIKlT5+BfD4lmpB1pHEi+ANvjdrCI488fNG+K1eupGnT1qTL\nM4ADp/Yc06d9SosWLS7YLyUlhTVr1uDxeKhZs2auzPMKheLqcKlLe0pIKRQ3IfPnz+eJJ0ZyJvUM\nHTp05vUJTwNgsQhblu8lMsJJfHx8rj5x8cU4lvYxmIpAYBo2eY8PPxjJAw88kNXms88+44HeQwAP\nRjGDTOx2M6eTD2C327PaJSUlUbX6beiWF8D/iVGeRbOBuQTYRxg7+UKr+WtSvHBiIWreUol58xZi\nMrtJTz8NpnKA3SiELOmglcTlPMj69SvQNI3adRqTmlGSoO83sN6Ny7aZBvULM3fu9P9ZgIgIdruH\ngOskaOH78n+Hxd+FY8f+JCoq6qI2Vq5cyZtvfkgwGGLgwPtp2rTpBdvv2LGD+rfegT+YSCh4jNo1\nSzN//oyz0jsoFIory7WqtadQKK4jmjdvzqZNP7N710Zee/VpihoTSgSDGoFgsbNElIhw4vgBMJWG\nwLcgPrDUJzU1NVe76OhoNJMHLHdCxAGIOIwvWI2XXnolV7vhw19GN7UB3xiwDwJ0I7Dcs9BYXtQc\nEHkCIk+C5XYOHCrMzO99aCYT1aqWAXOVcF2+GmC5F6wdwdKI9AwrFSpUpWzZiiSnFCKYuR48v4Dr\nE9LNy1n+624WLLj0DCzn+mNPiANs2SeCi0FzcfDgQXRdv6jNOnXqMGXKp0yf/sVFRRTAfb0GcjJ9\nCCnyM2mmJH5dE2D8+PGXchsKheIaoISUQvEPoELZ7Pdbt519XdM0EhKKwJkKENoKZOBPn3vWzI7f\n7zf+TLP1AM1kzDLZ7mfV6s3ous6ePXs4ePAgJ0+lgLmpsUyXMRyjbMvL4PsIAvPB9oAx06NZwP4v\nowRMaC0ZmUVYvnwD4AZbH0AgtAj0g8ZslhZByL0LiTgRDpjXwVQmfBNWMFfg2LFjeX4uhw8fpm69\nO7BYbERHF2LGDCMt3qRJkwmZuxr5sABCeyAwjWAgnaZN78ZqtZEvuiCzZs3K81gXY/euXeimFln3\nkhG4g99+23nZ7CsUiiuDElIKxQ1KMBhkzJg3aNuuB089NeKs2aOcVCiX/X7TlrOvz58/nyNHT4Kt\nN7g/B+cYcH7G+AmTc7W77bbbsJjTITDDSKMgIUyh6ZQsWYiKlWpTvkJdSpWqSnLycch4BPTDwEng\nDFarg8Z1ZhEdtR8t9H24v0BgHuiHwDHSmLFCwP092NqB8x3ABaZ4CMwB+zAwFQDNGy6G7IXM541d\nfsFl6L6F1KtXL8/P8O623Vi7uQa69wynAtPp3qM/8+bNo++DjyD2EdkNfWOMzOqmohw93RHdm05y\nYDrduvXjt99+y/N4F6Ja9WpY9I/DzyUFl3UqtWtXuyy2FQrFlUMJKYXiBqVz5/t5cdQ8vlvYjLHv\n7eLWBncS+GuL2X9Ro0r2+ylhDZSTSZNmEJLqYCqefdJUlJSUlFztYmNjWbZsNk7zFLTUUlgySlG6\n2PJr+xAAACAASURBVF4mTPiS33dWINN2kEz7AXbs8oApFF7COwyRpwlIU/78cz8nT5xAfN/CmTJw\nphIEvgI5A9ZWQLh+Xa7wBB2C2yH0MwRmgYQFY2gtJpMfLfAWWoqHGEdPpk37glKlSuXp+YVCIdau\n+YmgZZThp6UumvVuvv/+e0z2Hsa5vwgsAs8y0P8AxyhjJs5SD83WghUrVuRpvIvx+WfvUarIElzB\nRGyZRejcsRY9e/a8LLYVCsWVQ+WRUihuQI4cOcLs2bPxOf4EsxOf9GT3nhqsWLGCRo0andW+bUuj\nYHHKGdixE374CZrmaBYR4UYzxyG+sWCpA1p+NN8gOtzb5ixbdevW5dSpfWzYsAGz2Uyr1h0JhgqC\n60HQzIAZn/QEWQ/23qCFcwbYH2PH9hbgngLmOpAxBAJTgRggYCz7OZ4G862Q1hbsA41lQH0P4AQt\n3hAypxPRrDXxODcxcvTzREZG0rhxY4oXL36WrxfCZDLhckeRGkoCS3Vjdo0tlC7dBV8w1qgiCqCf\nADls/MRq5NAyVwYJoskW8ufvcEnj5mTPnj1MnDgJXdfp0qUzSZtXsm/fPtxuN3FxcX/brkKhuHqo\nXXsKxQ3IgQMHKF2mBpm2Q2HxAhHUZ8b0l84b2DxwKLxvZEGgU3uY8kn2td27d1O9Rn1S0qsigc3A\nGdq2bcGAf/Vh0aIfiIuL4cEHHyQiIiKXTb/fj8PpQkytjRxQ1tvB0hmL/iym0EL8+l1GUk1Ng8zR\n4PsQIvcanUXgtAuwEJs/htOnzwAOdD2F+Ph4QiEzR48eR3QfmKuBZ4kxE5T5BubgKMqWLcW+A3ZE\nKwLBhcyfN4Nbb731kp7jpEmT6ddvMLqlPRZtE9WrRvDdrP8QXyaEP2Ds1rP576JkseMEAlAkMY4V\nv65DLO2waBuoXTOOBfNn/K2UC9u2baNW7UZkhDohYsVh+pKfflxA9erVL9mWQqG4fKj0BwrFDcyS\nJUuY9PW3eD0uHn10AMWKFTtnOxGhfv1mrN9SGJ/0wcJ8EqKm8vvv63C73efssykJqjY03lutcGAL\nxOXPvr53714mTPiYjAwfXbp0YP36jQwe8gIZ+oPYLb9RKG4zGzYsx+v15rIbF1eUY8dSjPIvmME/\nniJFCvPAA1154cV3QCtsFCvWk0CcELnLCAwP7YEzZTDbqvDuW32577776NatF/PnryBg6oSVRQQD\nJwmGCoGtPTj+zxgw9AecqYTF2YSgbY4h0vzTKZM4mm2/r7noMz548CDde/Rn06aNlChekqeffoSD\nBw8SHx/PPffcw6cTLTw42GhbqEAKv8xNpmjRIln9169fz/Lly0lISKBdu3Z/O29V1259mDKzJGI3\nUlPge4/mjX5g3rxpf8ueQqG4PFyqkLoaXIOSgwrFjcfUqdPE6SogON4Qk+tJiYxKkD179py3fUpK\nivTuPVAqVKwn7dp3lwMHDlx0jHrNsgvwvjL2/O0OHjwoJrNH8G7Iau+KaCMTJkw4q+3td9wtOF7J\nLjbsfEtatOgo48aNM4oVYxa0RMFcWtBKCqbygvV+4xw2sTviZO7cuVKqdFXBlChoRQQtTjDVEfCI\nZq0qmCoJkSlCpC7YnxaIF+zP5SjEvEfy5St00fsPBAJSomRlMbtHCN7dornflZjYRDl9+rSIiBw/\nIRJbUs+ya3Y9JR073ieBQOCiti+VO5t3EFwTs+/BPVtq12l22cdRKBSXBpdYtFgFmysU1wnDn3mF\nDO0zcDyGbhvDGV83Pvjg/HmEvF4vH3/8LluSljPj268oVKjQRcfon51bk/Gfw3+nQ/L5fIgIHTre\njx4KgZaYdS0QKnSenYFmMBXLPjQV4/CRIwx5bDh4FkNkABxDMWuHjFgjLQoCM8FUFrDSuVMr3np7\nPHv/vBW8eyFiF5gqguwA0rCa9oO+E04XgNNx4J8EzteMmnyhPSAByHyeGjUuXnNvz549HDlympDl\neTAXQ6wDCYQSWbduHQBDnobjJ8J/iIoQsj7D7HkHeOONty5q+1Lp2qUNLtNICG6A0FZcpmfo0vns\nmDSFQnF9o4SUQnGdkJmZGc6NZKBLDOnpmRfokTdEhDNnziAidGoHUeHY7117YHG4fu+uXbsoV+4W\nXC4PkZFxrF79E1jbQMZDxlJa4DuC6V9Sq1ats+x379YWl+l5CK6D0EZcpmeoUb0sFnsDsNQ3lt4s\nbQgFfeB4ATxzwbseQsux2TSmz/qd+Qt+IcA9Rls5BfpGozxMZAC/aQyggW0wOJ8FMiH4E2A1dv2d\n9kBwDWfOnDnnvWdmZj9Dr9dLMJgChHcjip9Q4DBer5e5C+HLKTk6axpoLtJDD/DTz2vOsvu/0qtX\nT154rj9x7nuJtbfkicfuZfDgi5efUSgU1xdKSCkU1wn39+qMSxsAwV8hMAun6S26dv37O8IANmzY\nQKHCpYmOjicyKp4ff5zPfV2yr7/+Lui6cGfz9uzY3w3d6+OMzCYUtIK5njF7lNoM0vuhWcpxb4cH\naNKkLW+99W5Wdu+YmHzExlix+FoQod3J8P/rQa9ePQn5k4zSLvp+SL0VzPWN7OBnboHgGkDDHypL\nWspORIqA/3MQHULrQStmCDnNDPa+RgFje0+wPwKuDyEwDez9ITLFeLm/47ffc+dzWrx4MTExhXC7\nvRQpWp6kpCTi4+Ppdd99uPUmkPkSLv1OGjaoRunSNeg/JLuvpm8y3ohgMy2hTOmiAHz55UQiI+Ox\nWu00vq0VJ06c+NufjaZpDB06mCOHd3Ls2B6ef374X7EZCoVCkYtrutapUNwohEIheeGFl6VkqRpS\npUoDmT179v9kz+fzSWz+ItlxOJ4fxe2OlWU/Hc2Oy4kSeeuDNLFa3Ub8UVY81L1iNjsFcx1BKyqY\n7xS8BwQiBNc0cXlrydChT8u8efPE5S4guKYK7lnicheVr7+eLLquS7dufcTjrSBmW3nB/lT2mLah\nApGCe2E4vum4QIKgxQtacSP+SYsWIk+Hrx8UcBvtokRw/yAQZfgWmWacc7wsiYnls+790KFD4vbE\nCu7Fxn25PpW4+GLi9/tF13WZNGmSDB06TCZMmCCBQEAGDs1+HtHFgxJfsLZE5Gsk3shaUrZcDUlO\nTpaVK1eK05UgeNYLkRli9QyU22+/+3/92BUKxXUGlxgjpXbtKRQ3Kbt27aJK1SakWfZmnYs03cFH\n4x5i+pxGTJ5h5Clyu4XAyer4LZPAXAEkE7deg7hYYfeeFCOWSU8C+xPGrFFEEuj7cQar0OyOlny3\nsIkxawTgn0HdquNYsXweIsKiRYt46F/D2HV4ZDjhJuCfDul9ICo529nUewB7eOnODJkvQWgpmG+D\n4EKQNHB9AVoUZn9/vJ40ks9UhNBm0GLQOMSLLwzhnnvuYdasWezevZvJU//gDEuyhnAHi7B507Kz\n8k39tBwatco+njQB2tyVys8//4zFYqFhw4bY7XZee+01hr/4JwHLWKOhfgq7vyiZGbmTlioUihub\nS921pxJyKhQ3KbGxsQQDp0DbZdSp05PJyFhPj579sDlKo8mXiFaWtDSNUmUXcnB7NUzmZiBrqVKp\nABuTTkLEeiPDd2AWpPUA93/C1k0ggtVqAXLGcWWEzxn/GTVr1oxuXX/ljbfeIkMaAzqmwOvoAP5p\nYOtgLP0FfwCTE7TXQIvBZsskkHESMVcG+0MQ2oeW2ZeSJYvz8MBHqFKlIq1adwRzQ5A9lCpehoWL\nlvPsiDGA2ViS1M8Yy35aBOh7CQaSiYmJyfmIyMyEvo9mH7duDl3uBU3zcNddd+Vqmz9/fmym+QRE\nN+oM6puJisqPQqFQXGmu8SSdQvHP5d13PxSXK0E8+bqKy11ELBZvdkoDz29CpD9rSWvg44fko48+\nknnz5snrr78uNs8j2ctxkakCZjG5Rgvu78TlrSuPPvqkrFixQlyuWMH5b8H5vjhd8TJv3rxcPvj9\nfunatbeYzTYxm23Srl0XcbnyGcuEWmEBu1htETJg4KNis7nEbLZJw0bNxRtZMdcSZGS+W+TXX3/N\nsvvHH3/IRx99JFOnTpVhw54Vi+MuIdJn3JO1s6CVEZO5sLij7hOXu6CMHfvOf/kl0r5Htv2IRJH9\nF8ggkZmZKbfUbCTuyMbiiHhQXK788t13313Wz0uhUFx7UEt7CoUiJxs3bmTTpk1kZmYydNiHpMja\nrGt23sHHIAAsFlixAGpWh6VLl3JXi/vw2X4FU0HIfJWCMR9Tp05tjhw5Qdu772Do0MGYTCZWrlzJ\n2LHjCAZDDBx4P02aNDnLh0AgwMiRr/Djj6spW7Y4gwb1Y8GCBaxZs4aaNWvSvXt34uPjERFCoRA+\nn4/ExDKc8r0B1k4QmEGk7WH27d12VnZ1gKZN2/HDyp5guzc84DzIfJGE/Ed56aWnqFq1KjVr1szh\nD3TtC9O/y7Yxbiw8eD/ous727dvRNI3SpUtjMmXvyfH7/UyfPp2TJ09y2223UbFixf/x01EoFNcb\nKiGnQqE4J0eOHBGnM5/gTTJmYbybxeGMlVpNs2elytYSSUsTOXbsmFisEQIuQcsvECWaKUIWLFjw\nt8bu2PE+cXmbCa5pYvUMkmLFKkhqauoF+6xdu1YKFS4jmmaSggVLyapVq87bdsCAIWJx9TYCyyN1\nwfaImK0lZdAjT5zV1u8X6dBLcs12Pf6MiK4bSU5r1bpN3J6i4nInSr36d1zUT4VCcXOBmpFSKBTn\n46uvJvFg/0HY7CXx+3by2JCBnEyO4pOpD+Pz2wBo3xoGP7iKNm0HkJJ2BwTngeNVkAM4eIJ1a3+m\nfPnyeR7zzJkzxMQkEHAdA80FIni1xnz91TBatWp10f7BYBCL5cLhnMnJydSrfwe792Ti8wfR9IN0\n7HQPX34xAavVSnJyMhEREYiY6f4gfDMju++QAfDGS0baqIEPP87HXxzDZ/oUAIfenQH9ivPGG6Pz\nfL8KheLGRgWbKxSK89KjRzfuuKMpu3fvZtWqNTw9fAzpoT5YbJ+A6SEAZnwPh49Uw5d5HAITwbMA\nzIZw8vu2MnXqNEaMePaC4xw7dozFixdjt9upV68exv9J4SUyTQPNkueklhcTUQBRUVFsWP8LK1eu\nRESoU6cODoeDLVu20Lx5e44dO4zZYqNGg/X8sio7W/ujD2WLKIB167bg0wdBuH5eZqgza9Z+mic/\nFQrFPxMlpG4QfvzxR6Z+9RUOl4uHBg2iZMmS19olxQ1KQkICCQkJtG7TiXRtFjhuIQhYZBZBrS0A\nK1bbSCi8isN/NADJyOor+hms1pjzWDbYtm0bdes2IcOfgK6fIiYfNGnajJ+WdyZDfwiL9iMRkQdo\n3LjxZb0vu91Oo0aNso51XafZnW05lPw0uHqDfpJfVkVnXR/0IIx9OVtEAVSpXJb1m2fik5aAYDfP\npGqVspfVT4VCcXOhlvZuAP7zn//wYJcuPJ6ezkmTiY/dbpavX6/ElOJ/wumMJNO2E0yxAFiDj9Ls\nznuZsyRbjKD/Cen3gbUb6HvA9zq7d2+lWLFi57V7++1tWbLsIOAASyMITKbWLYVp3LgRy35cScmS\nRXjzjZcoUKDAFb2/o0ePUqRoeXyOs7OPD+wL77yaW0QBnD59mgYNm7NnbzKITqlScfy4bC5er/eK\n+qpQKK4fLnVpTwmpG4BbK1fm/5KS+Kuc6dOahn/QIF5/6/IXUlX8c7j33p7MXuDHp40B/Xec0pOV\nvy5hXVJl+gyCUCjcUHyQ+TLof2A3/YeUlOO8++77rFu/lWpVy/HIIw9js9my7BYpWoH9B/zg3Qqa\nDfRjmFKLcvLkISIjI6/a/fn9AdzRgwla3jZKzYS5p9Vhpn2ZcJaI+otgMMimTZvQNI3KlSvnaWlR\noVDcPFyqkFK19m4AMjMyyLmYEiNCZlraNfNHcXPwxRcf0r6Nh3zWhhSPH8aMb7+icuXK9OoKsyaC\n0xn+A0izg2M4NruTsWNfp3377jz7/BwmTq/OiBcX0qpVx1zxTpUqlgEtvyGiALRYzBY3KSlXLwP4\n3n3QpquVoPW9XCKqStnFTP3i/CIKjJisGjVqUL16dSWiFArFRVEzUjcAr48ezaSXXuLd9HROAv1c\nLibPmZPnGJM//viDd15/nfQzZ7i3Z8+zMjZfLk6fPs2nn35K8qlT3NWiBXXr1r0i4yiuDr+uhlad\nhZOnsv+baFg3jVU/3Y3PMscQWOLHHSrDyl9nU7FiRU6dOsWqVato1aojIds7YL0LLfA+JQrNZPu2\n9blyMl0JdB3GfwZPPAepqdnn4/OnMOLxvQzoXznrXFJSEsOHv8yJk6fp3KkVDz/8L1U0WKFQqDxS\nNyO6rsuro0ZJjZIlpX6lSjJr1qw89925c6fER0TIs5om74IUdrlk0sSJl93H5ORkKV+0qHR2OORp\nTZMEl0umfvPNZR9HcWUJhUJy6NAhSU9PFxGR37aJFKmUO+cSkcHsAseRungjK8qaNWtkypSp4nTl\nk4jIiuJwREmBgiXF7Y6RmjVvk4EDB0m/fg/L7NmzZefOnVK12q1itTqlSNEKsmLFiqzxT548KQMG\nDJEmTdrKs8++KD6fL8++z/xuk1Ssczi3r1Eh0VxjxWyJkr79HpZgMCgixr8Ljze/aK43BfdMcXmr\nyXPPvXR5H6ZCobgh4RLzSF0NrvUz+Ufz9LBhMtRkEgERkEUg1UuWvOzjvP3229LR4cga5yeQ0gUK\nXPZxFFeOnTt3SrHiFcXhiBGbzS1vvvm2iIgcOSrS71ERU/TZgkrzLpIixWrKvn37xOmKFjzrw+Vn\n1ojLFS3bt2+X+PhiYnUPEBxvitNVRKJjEsXkek2ITBFc08UbESdHjhyRjIwMKV2mmtg8/QXXVHF6\nW0qr1h0v6HMwKDJvkUjZGltylbshSiS2xDGxewcKEaeEiJPi8jaU0aNfExGRUaNeFot7UHZ771aJ\njkm84s9YoVBc/3CJQkrFSN3k+DIyiNT1rONIjDIXl5uU06cpnsNuceB0zrUVxXVP23bd2XfkfjId\nx/E7tvDMs6+xfPly4vLD+H/Dxp+gxR05OmhmxHw7mZZfeWd8AIutGliqGdcst2CxFWbcuHEkpzcg\nYH0PHEPI4H1OnkxFtw0FzQu2ezBZqrJ27VqWL1/O4SNW/OYPwNaBDNN0Fi5cwNGjR8/y9cBBePFV\nKFkd7uoA23ZVAM1qXBTBHBxLsehe+PTmYIoCUz7SQ0OYO+9HAEwmDdBzWNTVsp5CofhbKCF1k9Op\ne3fedrn4BvgR6O9y0aNfv8s+TvO77uIzu50lwF7gEYeDNq1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bb74pLm9lIfJMuO9EKVGy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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**7)** Ok, now try K-means and GMMs with 6 clusters and plot the results, what happens?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Kmeans clustering\n", "\n", "#### SOLUTION CODE (TEST)\n", "labels_k, centres = kmeans(X, 6)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "tut.plot_2d_clusters(X, labels_k, centres)\n", "\n", "# GMM clustering\n", "\n", "#### SOLUTION CODE (TEST)\n", "gmm = GMM(n_components=6, covariance_type='full')\n", "gmm.fit(X)\n", "labels_g = gmm.predict(X)\n", "means = gmm.means_\n", "covs = gmm.covars_\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# Plot\n", "tut.plot_2d_GMMs(X, labels_g, means, covs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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rP3T4ODunTl15KM6wsDDy5cvO6cAEMmUy3vgrWd6ZkiWr81bVdfToapy3/yB0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Dr0zj/1HmH8/wPCZCqMMMK4jkcffZS9evX6xXHff/89I5MjqTwo074d1G9TWLdZHTZt34RmWYPu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\nZNiBAwe0fPlyt8sAfALj/oDL/v77b02aNEmrVq3Kk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Zm/oe9vZI7JrO2UEoOQELCsKmT59+Sn2rV6+2ggWdHpjZH2CXVMplRYvmtUGP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\n2P7+B5i7oCk/zF1+dzumKMr/LBVI/Q/IyMjgvfc+5MDBv6lbpyqDBj1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8wyu6NJXsnOAj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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, if we don't have a reasonable idea of the number of clusters before we begin, we may not get great results. As mentioned before, there are clustering methods that can also infer the number of clusters, some of which include:\n", "* variational Bayes Gaussian mixture models (VBGMM) ([Attias, 1999](http://arxiv.org/pdf/1301.6676.pdf); Bishop, 2006)\n", "* Dirichlet process or infinite Gaussian mixture models ([Rasmussen, 1999](http://www.gatsby.ucl.ac.uk/~edward/pub/inf.mix.nips.99.pdf))\n", "* Spectral clustering ([von Luxburg, 2007](http://www.informatik.uni-hamburg.de/ML/contents/people/luxburg/publications/Luxburg07_tutorial.pdf))\n", "* [DBSCAN](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.DBSCAN.html)\n", "\n", "The scikit learn [clustering](http://scikit-learn.org/stable/modules/clustering.html) documentation also has a nice summary of the capabilites of many popular clustering algorithms, including a demonstration of the types of cluster shapes that can be modelled:\n", "\n", "Scikit learn cluster demo\n", "\n", "**8)** If we have some kind of ground truth labels (as we do in the `truth` variable from ex. 5) we can get a measure of a clustering solutions validity from various measures. One of the more popular and robust measure is [Normalised Mutual Information](http://scikit-learn.org/stable/modules/generated/sklearn.metrics.normalized_mutual_info_score.html) (NMI). What is nice about this measure is that the *number of cluster labels do not have to match the number of ground truth labels* unlike many classification metrics. \n", "\n", "Run both K-means and the GMM for varying number of clusters (1 to 6), and plot their NMI vs. number of clusters. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.metrics import normalized_mutual_info_score\n", "\n", "Ks = range(1, 7)\n", "NMI_k = []\n", "NMI_g = []\n", "\n", "for k in Ks:\n", " \n", " # Kmeans clustering\n", " \n", " #### SOLUTION CODE (TEST)\n", " labels_k, _ = kmeans(X, k)\n", " NMI_k.append(normalized_mutual_info_score(truth, labels_k))\n", " #### END SOLUTION CODE (TEST)\n", " \n", " #NMI_k.append(TODO)\n", " \n", " # GMM clustering\n", " \n", " #### SOLUTION CODE (TEST)\n", " gmm = GMM(n_components=k, covariance_type='full')\n", " gmm.fit(X)\n", " labels_g = gmm.predict(X)\n", " NMI_g.append(normalized_mutual_info_score(truth, labels_g))\n", " #### END SOLUTION CODE (TEST)\n", " \n", " #NMI_g.append(TODO)\n", "\n", "#### SOLUTION CODE (TEST)\n", "plt.plot(Ks, NMI_k, 'r*-')\n", "plt.plot(Ks, NMI_g, 'bo-')\n", "plt.legend(['K-means', 'GMM'], loc='lower right')\n", "plt.xlabel('k')\n", "plt.ylabel('NMI')\n", "plt.grid(True)\n", "#### END SOLUTION CODE (TEST)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In reality, if we had all, or even some, of the labels like this it would more prudent to use a supervised classification method and the corresponding supervised classification performance metrics (like percent classification error, F-measure, etc). However clustering is still useful as a data exploration strategy, as well as a feature creation method for classification -- it is quite common to see kmeans with (very) large K being used to cluster inputs to a linear classifier to improve classification performance, among other strategies.\n", "\n", "As a final note, I would recommend against using the implementation of [Variational Bayes GMMs](http://scikit-learn.org/stable/modules/generated/sklearn.mixture.VBGMM.html) and [Dirichlet Process GMMs](http://scikit-learn.org/stable/modules/generated/sklearn.mixture.DPGMM.html) in scikit learn for now, I have never had much luck with them, and could not even get them to fit the above datasets. If you would like to test out these algorithms, I have a much more robust implementation in [libcluster](https://github.com/dsteinberg/libcluster). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Topic Models\n", "The purpose of topic modelling is to generally learn some low-dimensional representation of a large collection of textual documents, called a *corpus*. The representation can be used to summarize a corpus, or for retrieval of documents that are similar to a query document.\n", "\n", "Typically topic models are learned by analysing the distribution of words within a corpus, in particular how they cluster together within documents that have similar subjects. These clusters of words are referred to as \"topics\", and documents may comprise several topics in different amounts. These topics are essentially the low-dimensional representation of documents learned by topic models. \n", "\n", "## Latent Dirichlet Allocation\n", "One of the most well known topic models is [latent Dirichlet allocation](http://en.wikipedia.org/wiki/Latent_Dirichlet_allocation) (LDA) (Blei, 2003), also known as multinomial PCA (Buntine, 2002). \n", "\n", "Typically a corpus is broken down as follows:\n", "* There are $J$ documents in a corpus,\n", "* there are $N_j$ words in each document, $j$,\n", "* a word, $\\sobsind_{nj}$, is represented as an *index* into a vocabulary, i.e. $\\sobsind_{jn} \\in \\cbrac{1,\\ldots,D}$ where $D$ is the size of the vocabulary.\n", "\n", "So we can think of our whole dataset (corpus) being made up of sub-datasets (documents), $\\obsall = \\cbrac{\\obsall_j}^J_{j=1}$, which are collections of words in each document, $\\obsall_j = \\cbrac{\\sobsind_{jn}}^{N_j}_{n=1}$. This is called a *bag of words* model, because order of the words is assumed unimportant. This simplifying assumption is known as the exchangeability assumption. \n", "\n", "LDA goes on to model a corpus as follows:\n", "* Each document, $j$, is represented as a *low-dimensional* proportion of $K$ topics $$\\wgtind_j \\sim \\dir{\\dirall},$$ where $\\wgtind_j = \\cbrac{\\wgtmix_{j1}, \\ldots, \\wgtmix_{jK}}$ and $\\sum_k \\wgtmix_k = 1$.\n", "* Each word, $\\sobsind_{jn}$, is drawn from a *per-topic vocabulary*, represented as a categorical distribution, in proportion to the *per-document topic mixture* $$\\sobsind_{jn} \\sim \\sum^K_{k=1} \\wgtmix_{jk} \\categC{\\sobsind_{jn}}{\\mwgtind_k},$$ where $\\mwgtind_k$ are the parameters of the topic categorical distribution (which are also vector of weights that sum to one).\n", "\n", "This is very similar to the GMM we saw before, the differences being that we now have Categorical clusters as opposed to Gaussian clusters, and that we have mixture weights, $\\wgtmix_{jk}$, *specific to each document*. What is nice is that the clusters/topics are *shared* over all documents. This enables us to view these topic/cluster weights, $\\wgtind_j$ as a low-dimensional description of the original document, i.e. a mixture of topics!\n", "\n", "This is a Bayesian model and sometimes has a prior also placed on $\\mwgtind_k \\sim \\dir{\\dircall}$, which is called smoothed LDA.\n", "\n", "LDA can use fast sampling techniques, such as Gibbs sampling, or approximate marginal likelihood techniques, such as variational Bayes, for learning the model latent variables and hyper-parameters. Limitations have also been found with LDA. For example, it is not effective in choosing the number of topics ($K$), and the symmetric Dirichlet prior over topic weights, has been found to be too restrictive. Hierarchical Dirichlet processes (Teh, 2006) have been developed to overcome both of these issues (but is beyond the scope of this tutorial)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**9)** For this exercise we will run LDA on a fairly standard dataset comprising news articles from Reuters.\n", "\n", "For this exercise you'll need [this](https://pypi.python.org/pypi/lda) python LDA package. It can be installed via pip easily:\n", " \n", " $ sudo pip install lda # you may need to use your distribution's version of pip (pip3, pip-python3, conda etc)\n", "\n", "Also, this *may* require you to also manually install the `pbr` python package (also through pip). \n", "Now, essentially follow the getting started tutorial in the [documentation](http://pythonhosted.org//lda/getting_started.html). It is worth noting that this dataset has undergone quite a bit of pre-processing, such as removing certain [\"stop\" words](http://en.wikipedia.org/wiki/Stop_words) so the resultant topics are not inundated with common and uninformative words likes \"and\"." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import lda\n", "import lda.datasets\n", "\n", "# Load the data\n", "X = lda.datasets.load_reuters()\n", "vocab = lda.datasets.load_reuters_vocab()\n", "\n", "# TODO: create the LDA object with 20 topics\n", "#model = \n", "\n", "#### SOLUTION CODE (TEST)\n", "model = lda.LDA(n_topics=20, n_iter=500, random_state=1)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# TODO: fit the LDA object to data\n", "\n", "#### SOLUTION CODE (TEST)\n", "model.fit(X)\n", "#### END SOLUTION CODE (TEST)\n", "\n", "# Print out a selection of topics\n", "topic_word = model.topic_word_ # model.components_ also works\n", "n_top_words = 8\n", "for i, topic_dist in enumerate(topic_word):\n", " topic_words = np.array(vocab)[np.argsort(topic_dist)][:-n_top_words:-1]\n", " print('Topic {}: {}'.format(i, ' '.join(topic_words)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Topic 0: church people told years last year time\n", "Topic 1: elvis music fans york show concert king\n", "Topic 2: pope trip mass vatican poland health john\n", "Topic 3: film french against france festival magazine quebec\n", "Topic 4: king michael romania president first service romanian\n", "Topic 5: police family versace miami cunanan west home\n", "Topic 6: germany german war political government minister nazi\n", "Topic 7: harriman u.s clinton churchill ambassador paris british\n", "Topic 8: yeltsin russian russia president kremlin moscow operation\n", "Topic 9: prince queen bowles church king royal public\n", "Topic 10: simpson million years south irish churches says\n", "Topic 11: charles diana parker camilla marriage family royal\n", "Topic 12: east peace prize president award catholic timor\n", "Topic 13: order nuns india successor election roman sister\n", "Topic 14: pope vatican hospital surgery rome roman doctors\n", "Topic 15: mother teresa heart calcutta missionaries hospital charity\n", "Topic 16: bernardin cardinal cancer church life catholic chicago\n", "Topic 17: died funeral church city death buddhist israel\n", "Topic 18: museum kennedy cultural city culture greek byzantine\n", "Topic 19: art exhibition century city tour works madonna\n" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**10)** Try setting the number of topics found to different numbers, and see what impact there is on the results." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# TODO, repeat above, but with a different number of topics" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bibliography\n", "\n", "* (Bishop, 2006) C. M. Bishop. Pattern Recognition and Machine Learning. Springer Science+Business Media, Cambridge, UK, 2006.\n", "\n", "* (Blei, 2003) D. M. Blei and M. I. Jordan. Modeling annotated data. In Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval, SIGIR \u201903, pages 127\u2013134, New York, NY, USA, 2003. ACM. ISBN 1-58113-646-3.\n", "\n", "* (Buntine, 2002) W. Buntine. Variational extensions to EM and multinomial PCA. Machine Learning: ECML 2002, pages 23\u201334, 2002.\n", "\n", "* (Teh, 2006) Y. W. Teh, M. I. Jordan, M. J. Beal, and D. M. Blei. Hierarchical Dirichlet processes. Journal of the American Statistical Association, 101(476):1566\u20131581, 2006.\n", "\n" ] } ], "metadata": {} } ] }