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

    https://github.com/apache/spark/pull/3871#discussion_r22423962
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/stat/impl/MultivariateGaussian.scala
 ---
    @@ -17,23 +17,62 @@
     
     package org.apache.spark.mllib.stat.impl
     
    -import breeze.linalg.{DenseVector => DBV, DenseMatrix => DBM, Transpose, 
det, pinv}
    +import breeze.linalg.{DenseVector => DBV, DenseMatrix => DBM, max, diag, 
eigSym}
     
    -/** 
    -   * Utility class to implement the density function for multivariate 
Gaussian distribution.
    -   * Breeze provides this functionality, but it requires the Apache 
Commons Math library,
    -   * so this class is here so-as to not introduce a new dependency in 
Spark.
    -   */
    +import org.apache.spark.mllib.util.MLUtils
    +
    +/*
    + * This class provides basic functionality for a Multivariate Gaussian 
(Normal) Distribution
    + * 
    + * @param mu The mean vector of the distribution
    + * @param sigma The covariance matrix of the distribution
    + */
     private[mllib] class MultivariateGaussian(
         val mu: DBV[Double], 
         val sigma: DBM[Double]) extends Serializable {
    -  private val sigmaInv2 = pinv(sigma) * -0.5
    -  private val U = math.pow(2.0 * math.Pi, -mu.length / 2.0) * 
math.pow(det(sigma), -0.5)
    -    
    +
    +  private val (sigmaInv2, u) = calculateCovarianceConstants
    +  
       /** Returns density of this multivariate Gaussian at given point, x */
       def pdf(x: DBV[Double]): Double = {
         val delta = x - mu
    -    val deltaTranspose = new Transpose(delta)
    -    U * math.exp(deltaTranspose * sigmaInv2 * delta)
    +    u * math.exp(delta.t * sigmaInv2 * delta)
    +  }
    +  
    +  /*
    --- End diff --
    
    Use ```/**``` for class/method documentation.


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