notes/Lecture7.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Lecture 7: Unsupervised Learning Methods\n",
    "Up until this lecture, we have studied mostly __supervised learning__ algorithms. That is, learners that require that the training data have specified __dependent variable__ for which data points that have been already been classified. This means that the supervised learner has an \"answer key\" to the training set. Unsupervised Learning methods, however, are designed for datasets and objectives where no such answer key exists. Rather, they focus on potential __latent variables__, ones that are not necessarily apparent in the data, but can neveretheless be crucial in understanding the nature of the dataset and its behaviors.\n",
    "## Latent Variables\n",
    "When we say __latent variables__, we refer to variables that are not necessarily part of the data. For example, if we have a dataset with information on movie length, director, cast, and rated stars, we may not necessarily know the \"genres\" in the movie dataset. If our task was to identify the genres present in the data without using any other sources of information, we would have to somehow create groups and assign data points to each group. Our latent variable, then, is the __number of genre groups__, and their respective locations within the dataset.\n",
    "\n",
    "Any sort of model assumed on a dataset, if it carries input parameters that does not exist within the data, can potentially be a unsupervised learning problem. In this lecture, we will explore a few of these problems. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>sample_user_names</th><th scope=col>movie1_ratings</th><th scope=col>movie2_ratings</th><th scope=col>movie3_ratings</th><th scope=col>movie4_ratings</th><th scope=col>movie5_ratings</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>Arthur </td><td>3      </td><td>4      </td><td>5      </td><td>2      </td><td> 3     </td></tr>\n",
       "\t<tr><td>Bob    </td><td>1      </td><td>3      </td><td>5      </td><td>2      </td><td> 4     </td></tr>\n",
       "\t<tr><td>Charlie</td><td>2      </td><td>3      </td><td>5      </td><td>2      </td><td>NA     </td></tr>\n",
       "\t<tr><td>David  </td><td>5      </td><td>4      </td><td>2      </td><td>1      </td><td> 1     </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllll}\n",
       " sample\\_user\\_names & movie1\\_ratings & movie2\\_ratings & movie3\\_ratings & movie4\\_ratings & movie5\\_ratings\\\\\n",
       "\\hline\n",
       "\t Arthur  & 3       & 4       & 5       & 2       &  3     \\\\\n",
       "\t Bob     & 1       & 3       & 5       & 2       &  4     \\\\\n",
       "\t Charlie & 2       & 3       & 5       & 2       & NA     \\\\\n",
       "\t David   & 5       & 4       & 2       & 1       &  1     \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "sample_user_names | movie1_ratings | movie2_ratings | movie3_ratings | movie4_ratings | movie5_ratings | \n",
       "|---|---|---|---|\n",
       "| Arthur  | 3       | 4       | 5       | 2       |  3      | \n",
       "| Bob     | 1       | 3       | 5       | 2       |  4      | \n",
       "| Charlie | 2       | 3       | 5       | 2       | NA      | \n",
       "| David   | 5       | 4       | 2       | 1       |  1      | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  sample_user_names movie1_ratings movie2_ratings movie3_ratings movie4_ratings\n",
       "1 Arthur            3              4              5              2             \n",
       "2 Bob               1              3              5              2             \n",
       "3 Charlie           2              3              5              2             \n",
       "4 David             5              4              2              1             \n",
       "  movie5_ratings\n",
       "1  3            \n",
       "2  4            \n",
       "3 NA            \n",
       "4  1            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_user_names <- c(\"Arthur\",\"Bob\",\"Charlie\",\"David\")\n",
    "movie1_ratings <- c(3,1,2,5)\n",
    "movie2_ratings <- c(4,3,3,4)\n",
    "movie3_ratings <- c(5,5,5,2)\n",
    "movie4_ratings <- c(2,2,2,1)\n",
    "movie5_ratings <- c(3,4,NA,1)\n",
    "sample_dataset <- data.frame(sample_user_names, movie1_ratings, movie2_ratings, movie3_ratings, movie4_ratings, movie5_ratings)\n",
    "sample_dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us suppose that our objective here is to determine whether or not to recommend movie5 to Charlie. The NA here signifies that he has not yet watched the movie, and thus have not rated it. How could we go about this problem? \n",
    "\n",
    "__(Important side Note: notice how this problem is very much like a NA imputation problem, and has similar applications)__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Collaborative Filtering\n",
    "Collaborative filtering uses other users' information to recommend the next content. So in this problem, we will first look for someone whose ratings are similar to Charlie - Bob, for example - to decide whether to recommend or not.\n",
    "\n",
    "We see that Bob gave it a 4, and can use that information to predict that Charlie will think favorably of the movie as well, and recommend movie 5."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Content Filtering\n",
    "Content filtering, on the other hand, does not use other users' information, but rather on past information on the certain user. For example, it examines whether movie5 is similar to any other movies that Charlie has seen. We can see that Charlie liked movie 3, and did not like movie 1 and 4. We can compare these movies to movie 5.\n",
    "\n",
    "This requires another dataset on movies. This dataset could potentially carry information on cast, genre, director, year it was made and etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Proximity/Similarity\n",
    "As we can see, both methods of filtering uses the idea of __proximity__ or __similarity__: how close a certain object is to certain data points within a bigger dataset. The most common measure used is __Euclidean Distance__, which is represented by formula:\n",
    "![image](http://mines.humanoriented.com/classes/2010/fall/csci568/portfolio_exports/sphilip/images/euclid_eqn.gif)\n",
    "\n",
    "In other words, distance between two points is represented by the square root of the sums of squared differences in each dimension. The smaller this metric, the closer the two points. In we can obtain the matrix of these distances using the dist() function. Let's use it on the table above for just the first 4 movies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Arthur</th><th scope=col>Bob</th><th scope=col>Charlie</th><th scope=col>David</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Arthur</th><td>0.000000</td><td>2.236068</td><td>1.414214</td><td>3.741657</td></tr>\n",
       "\t<tr><th scope=row>Bob</th><td>2.236068</td><td>0.000000</td><td>1.000000</td><td>5.196152</td></tr>\n",
       "\t<tr><th scope=row>Charlie</th><td>1.414214</td><td>1.000000</td><td>0.000000</td><td>4.472136</td></tr>\n",
       "\t<tr><th scope=row>David</th><td>3.741657</td><td>5.196152</td><td>4.472136</td><td>0.000000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & Arthur & Bob & Charlie & David\\\\\n",
       "\\hline\n",
       "\tArthur & 0.000000 & 2.236068 & 1.414214 & 3.741657\\\\\n",
       "\tBob & 2.236068 & 0.000000 & 1.000000 & 5.196152\\\\\n",
       "\tCharlie & 1.414214 & 1.000000 & 0.000000 & 4.472136\\\\\n",
       "\tDavid & 3.741657 & 5.196152 & 4.472136 & 0.000000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Arthur | Bob | Charlie | David | \n",
       "|---|---|---|---|\n",
       "| Arthur | 0.000000 | 2.236068 | 1.414214 | 3.741657 | \n",
       "| Bob | 2.236068 | 0.000000 | 1.000000 | 5.196152 | \n",
       "| Charlie | 1.414214 | 1.000000 | 0.000000 | 4.472136 | \n",
       "| David | 3.741657 | 5.196152 | 4.472136 | 0.000000 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "        Arthur   Bob      Charlie  David   \n",
       "Arthur  0.000000 2.236068 1.414214 3.741657\n",
       "Bob     2.236068 0.000000 1.000000 5.196152\n",
       "Charlie 1.414214 1.000000 0.000000 4.472136\n",
       "David   3.741657 5.196152 4.472136 0.000000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distance_matrix_movie <- dist(sample_dataset[,2:5])\n",
    "distance_matrix_movie <- as.matrix(distance_matrix_movie)\n",
    "colnames(distance_matrix_movie) <- c(\"Arthur\",\"Bob\",'Charlie',\"David\")\n",
    "rownames(distance_matrix_movie) <- c(\"Arthur\",\"Bob\",'Charlie',\"David\")\n",
    "distance_matrix_movie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This concept forms the fundamental to the idea that similar things are close together and __cluster__ together.\n",
    "## Cluster Analysis\n",
    "Clusters are a uesful way to analyze data because it helps yield important insights about the data that is not apparent. If clustering behavior exists, we can use cluster analysis to:\n",
    "1. Gain important insights about the population from which the data was sampled\n",
    "2. Produce more accurate and effective input parameters for supervised learning algorithms\n",
    "3. Challenge predefined notions and assumptions\n",
    "in this lecture, we will cover two types of clustering, hierarchical clustering and K-means clustering. \n",
    "\n",
    "## Hierarchical Clustering\n",
    "![image](http://www.statisticshowto.com/wp-content/uploads/2016/11/clustergram.png)\n",
    "Each circle here represents a level in the hierarchy of clusters. This is the essence of hierarchical clustering, grouping closer ones first until we reach one single cluster of all the data points.The diagram to the right is a __dendrogram__. \n",
    "\n",
    "### Dendrograms\n",
    "Dendrograms are visualizations of hierarchical clustering, each length(or \"height\") of line representing the distance between two clustering objects. The dendrogram is useful in assessing the number of clusters, since any region where all vertical lines have significant lenghts can represent a valid number of clusters in the data.\n",
    "\n",
    "In the following demo, we will show how to use hierarchical clustering and dendrograms on the Iris dataset in R. \n",
    "\n",
    "We will make the dataset fit for an unsuprevised learning problem by removing the Species column and create clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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\nCCCAAAIIIIAAAi4X+H9QmRqqy8IMAQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# suppressMessages removes library loading messages in the output\n",
    "suppressMessages(library(ggplot2))\n",
    "suppressMessages(library(dplyr))\n",
    "suppressMessages(library(ggdendro))\n",
    "\n",
    "iris_modified <- select(iris, -Species)\n",
    "hc_iris <- hclust(dist(iris_modified),\"ward.D2\")\n",
    "hc_iris <- as.dendrogram(hc_iris)\n",
    "# Rectangular lines\n",
    "ddata <- dendro_data(hc_iris, type = \"rectangle\")\n",
    "plot_iris <- ggplot(segment(ddata)) + \n",
    "  geom_segment(aes(x = x, y = y, xend = xend, yend = yend)) + \n",
    "  coord_flip() + \n",
    "  scale_y_reverse(expand = c(0.2, 0))\n",
    "plot_iris"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see from this dendrogram, 2~3 clusters seem to be a good parameter for the number of clusters, which matches well with the actual data of 3 species. Note that the shape of the dendrogram can vary depending on the method (we used ward.D2) used for clustering in the hclust function! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-means Clustering\n",
    "K-means algorithm is a popular clustering algorithm since it is relatively simple and fast, as opposed to other clustering algorithms. The algorithm is defined as the following:\n",
    "\n",
    "1. Input parameter: k (number of clusters)  \n",
    "2. Step 1: Pick K random data points, use as centroids  \n",
    "3. Step 2: Compute distances for all data points to each k centroids, and assign each data point to a cluster containing the closest centroid  \n",
    "4. Step 3: Once all data points have been classified, compute the midpoint of all points for each cluster and assign as new centroid \n",
    "5. Step 4: Repeat steps 2 and 3 until the centroids converge upon certain k points.\n",
    "\n",
    "Since we only need to calculate k x n distances (rather than n(n-1) distances for knn algorithm), this algorithm is quite scalable and thus be done with relatively less computational resource. \n",
    "\n",
    "Let's use k-means clustering, with k=3 on the iris dataset, specifically for petal width and petal length features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x <- kmeans(iris[,3:4], centers = 3, iter.max= 20, nstart=1000000)\n",
    "iris_data <- cbind(iris[,3:4], x$cluster)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, the iter.max defines when to stop if convergence does not occur quickly. The nstart feature represents the number of random sets of k points that the kmeans algorithm chooses to run in parallel. The higher the nstart feature, the more accurate the model becomes, but also more computationally expensive.\n",
    "\n",
    "Let's see how the cluster compares to actual data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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\nQAABBBBAAAEEEEAgxQL/D0yw2J1vW+qvAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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\nAAII+FHg/wD9L+gXWUYWKwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names(iris_data)[3] <- \"cluster\"\n",
    "ggplot(iris, aes(x=Petal.Width, y= Petal.Length, color= Species))+ geom_point() + ggtitle(\"Original Iris data\")\n",
    "ggplot(iris_data, aes(x=Petal.Width, y=Petal.Length, color=factor(cluster))) +geom_point()+ggtitle(\"Kmeans result\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It seems that the model is performing quite well with the large number of random sets run in parallel.\n",
    "K-means clustering can be a powerful, scalable tool. One downside is that the k parameter must be first explored if there are no preconceived notions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixture Models \n",
    "Up until now, we dealt with clusters that do not mix. That means clusters have physical boundaries and any points identified within this region is classified into that cluster. On the other hand, mixture models assume a collection of distributions that are not mutually exclusive. They may overlap in regions, and data points are classified by which distribution gives them the highest __conditional probability__. The image below serves as a good example \n",
    "![image](https://de.mathworks.com/matlabcentral/mlc-downloads/downloads/submissions/54568/versions/1/screenshot.png)\n",
    "\n",
    "Mixture models generally require that the entire feature space be populated with the a mixture of one kind of distribution. (All Gaussian, all Gamma etc) For this class we will use Gaussian Mixture Models, since they are the most commonly used. Mixture Models generally require specifying the number of distributions(k), although there exists Infinite Mixture Models that use Dirichlet Processes to derive this specific number. For finite mixture models, the __expectation-maximization(EM)__ algorithm is used to derive the specific parameters of k distributions.\n",
    "\n",
    "### Expectation - Maximization Algorithm\n",
    "The expectation-maximization algorithm is relatively simple, although the statistics behind is not. The algorithm goes like this\n",
    "1. Randomly select the parameters for k-distributions\n",
    "2. Assign clusters to data points by the highest conditional probabilities\n",
    "3. Use derived properties from the clustered points (for normal, this is mean and variance) as new parameters\n",
    "4. Repeat until convergence\n",
    "\n",
    "Next, we will fit a Gaussian Mixture Model that uses(under the hood) the EM algorithm using the __mclust__ package. We will be using the iris data(as always)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "----------------------------------------------------\n",
       "Gaussian finite mixture model fitted by EM algorithm \n",
       "----------------------------------------------------\n",
       "\n",
       "Mclust VVE (ellipsoidal, equal orientation) model with 3 components:\n",
       "\n",
       " log.likelihood   n df      BIC       ICL\n",
       "      -136.0377 150 15 -347.235 -357.4307\n",
       "\n",
       "Clustering table:\n",
       " 1  2  3 \n",
       "50 50 50 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(mclust)\n",
    "\n",
    "fit <- Mclust(iris[,3:4])\n",
    "summary(fit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default, the Mclust function fits mixture models for k=1 to 10, and selects the most likely one using log likelihood, selecting the lowest one as best fit. It produces three clusters, the same as the actual number of species. Let's check visually how accurate the classifications were."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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\nRK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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\nQErQC0e1EUAAAQQQQAABBBBAwHmB/weVPdy7i2SmDQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(iris, aes(x= Petal.Length, y =Petal.Width, color =Species)) + geom_point() +ggtitle(\"Original\")\n",
    "ggplot(iris, aes(x=Petal.Length, y =Petal.Width, color=factor(fit$classification) )) + geom_point() + ggtitle(\"Mixture Model\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that except one data point, the classification is almost identical! Mixture models generally incredibly useful since in reality clear-cut subpopulations or clusters do not exist, and often there are a mixture of different forces and groups out there. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal Component Analysis: Discovering Latent Variables\n",
    "\n",
    "Suppose you're given a data set with many variables and are asked to find the general \"trends\" in the data set. You might want a compressed approximation of the data set with fewer variables, or you may want to discover latent variables you hadn't considered. What might you do?\n",
    "\n",
    "It turns out that there's an elegant way to extract trends from a large and complicated dataset called __principal component analysis__ (PCA). PCA is used in industry quite frequently - an example of this is the million-dollar Netflix prize, in which the key insight of the winning team was to decompose the data set into a compact approximation for further manipulation.\n",
    "\n",
    "Here is the method:\n",
    "\n",
    "* Find the direction (i.e. linear combination, or weighted sum, of variables) along which the data has the most variance. This is the direction along which the projections of the data points are the largest. This is called the __first principal component__.\n",
    "* Find the direction that's orthogonal to the first principal component and has the largest variance (projections of the data points are the largest). This is called the __second principal component__.\n",
    "* Again, find the direction of largest variance that's orthogonal to the first two principal components.\n",
    "* Continue the process until you have $k$ principal components.\n",
    "\n",
    "(picture of PCA)\n",
    "\n",
    "As a general rule, $n$ dimensional data can have up to $n$ principal components. We often call the set of $k$ principal components where $k < n$ a __low-rank approximation__ to the larger dataset. These are useful for understanding and operating on large or sparse datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEDWlDQ1BJQ0MgUHJvZmlsZQAA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",
      "text/plain": [
       "Plot with title “iris.pca”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# PCA demo in R\n",
    "iris <- datasets::iris\n",
    "\n",
    "# log transformation\n",
    "log.iris <- log(iris[, 1:4])\n",
    "\n",
    "# pca\n",
    "iris.pca <- prcomp(log.iris, center = TRUE, scale. = TRUE)\n",
    "\n",
    "# plotting PCA result\n",
    "screeplot(iris.pca)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Terms to Review\n",
    "\n",
    "* Latent variable\n",
    "* Recommendation system\n",
    "* Collaborative filtering\n",
    "* Content filtering\n",
    "* Hierarchical clustering\n",
    "* Dendrogram\n",
    "* K-means clustering\n",
    "* Mixture model\n",
    "* Expectation maximization algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.3.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}