Improve Scalability of Gaussian Cluster For Wide Vectors
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                 Key: MAHOUT-846
                 URL: https://issues.apache.org/jira/browse/MAHOUT-846
             Project: Mahout
          Issue Type: Improvement
    Affects Versions: 0.5
            Reporter: Jeff Eastman
            Assignee: Jeff Eastman
             Fix For: 0.6


The pdf() implementation in GaussianCluster is pretty lame. It is computing a 
running product of the element pdfs which, for wide input vectors (Reuters is 
41,807), always underflows and returns 0. Here's the code:

  public double pdf(VectorWritable vw) {
    Vector x = vw.get();
    // return the product of the component pdfs
    // TODO: is this reasonable? correct? It seems to work in some cases.
    double pdf = 1;
    for (int i = 0; i < x.size(); i++) {
      // small prior on stdDev to avoid numeric instability when stdDev==0
      pdf *= UncommonDistributions.dNorm(x.getQuick(i),
          getCenter().getQuick(i), getRadius().getQuick(i) + 0.000001);
    }
    return pdf;
  }


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