Github user mengxr commented on a diff in the pull request:

    https://github.com/apache/spark/pull/4059#discussion_r23399900
  
    --- Diff: python/pyspark/mllib/clustering.py ---
    @@ -86,6 +86,68 @@ def train(cls, rdd, k, maxIterations=100, runs=1, 
initializationMode="k-means||"
             return KMeansModel([c.toArray() for c in centers])
     
     
    +class GaussianMixtureModel(object):
    +
    +    """A clustering model derived from the Gaussian Mixture Model method.
    +
    +    >>> from numpy import array
    +    >>> clusterdata_1 =  sc.parallelize(array([-0.1,-0.05,-0.01,-0.1,
    +    ...                                         0.9,0.8,0.75,0.935,
    +    ...                                        -0.83,-0.68,-0.91,-0.76 
]).reshape(6,2))
    +    >>> model = GaussianMixtureEM.train(clusterdata_1, 3, 0.0001, 3205, 10)
    +    >>> labels = model.predictLabels(clusterdata_1).collect()
    +    >>> labels[0]==labels[2]
    +    True
    +    >>> labels[3]==labels[4]
    +    False
    +    >>> labels[4]==labels[5]
    +    True
    +    >>> clusterdata_2 =  sc.parallelize(array([-5.1971, -2.5359, -3.8220,
    +    ...                                        -5.2211, -5.0602,  4.7118,
    +    ...                                         6.8989, 3.4592,  4.6322,
    +    ...                                         5.7048,  4.6567, 5.5026,
    +    ...                                         4.5605,  5.2043,  
6.2734]).reshape(5,3))
    +    >>> model = GaussianMixtureEM.train(clusterdata_2, 2, 0.0001, 150, 10)
    +    >>> labels = model.predictLabels(clusterdata_2).collect()
    +    >>> labels[0]==labels[1]==labels[2]
    +    True
    +    >>> labels[3]==labels[4]
    +    True
    +    """
    +
    +    def __init__(self, weight, mu, sigma):
    +        self.weight = weight
    +        self.mu = mu
    +        self.sigma = sigma
    +
    +    def predictLabels(self, X):
    +        """
    +        Find the cluster to which the points in X has maximum membership
    +        in this model.
    +        """
    +        cluster_labels = self.predictSoft(X).map(lambda x: x.index(max(x)))
    +        return cluster_labels
    +
    +    def predictSoft(self, X):
    +        """
    +        Find the membership of each point in X to all clusters in this 
model.
    --- End diff --
    
    What is the type of the return value? Is it a matrix or an array? This is 
important for Python users.


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