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

    https://github.com/apache/spark/pull/7705#discussion_r35819123
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/clustering/LDAModel.scala ---
    @@ -197,8 +229,92 @@ class LocalLDAModel private[clustering] (
       // TODO:
       // override def topicDistributions(documents: RDD[(Long, Vector)]): 
RDD[(Long, Vector)] = ???
     
    +  /**
    +   * Calculate and return log variational bound on perplexity using the 
provided `documents` of
    +   * documents as a test corpus.
    +   * Perplexity on a test corpus is calculated as:
    +   *    perplexity(documents) = exp( -log p(documents) / numWords )
    +   * where p is the LDA model. It is upper bounded by the variational 
distribution using:
    +   *    perplexity(documents) <= exp( -(E_q[log p(documents] - E_q[log 
q(documents)]) / numWords }
    +   */
    +  def logPerplexity(documents: RDD[(Long, Vector)]): Double = {
    +    val numDocs = documents.count()
    +    val corpusWords = documents
    +      .map { case (_, termCounts) => termCounts.toArray.sum }
    +      .sum()
    +    val subsampleRatio = numDocs.toDouble / documents.count()
    +    val batchVariationalBound = bound(documents, subsampleRatio, 
docConcentration,
    +      topicConcentration, topicsMatrix.toBreeze.toDenseMatrix, gammaShape, 
k, vocabSize)
    +    val perWordBound = batchVariationalBound / (subsampleRatio * 
corpusWords)
    +
    +    perWordBound
    +  }
    +
    --- End diff --
    
    OK


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