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https://issues.apache.org/jira/browse/MAHOUT-1837?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15270089#comment-15270089
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ASF GitHub Bot commented on MAHOUT-1837:
----------------------------------------

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

    https://github.com/apache/mahout/pull/228#discussion_r61988305
  
    --- Diff: 
spark/src/main/scala/org/apache/mahout/sparkbindings/drm/package.scala ---
    @@ -60,19 +60,27 @@ package object drm {
             val keys = data.map(t => t._1).toArray[K]
             val vectors = data.map(t => t._2).toArray
     
    -        val block = if (vectors(0).isDense) {
    -          val block = new DenseMatrix(vectors.length, blockncol)
    -          var row = 0
    -          while (row < vectors.length) {
    -            block(row, ::) := vectors(row)
    -            row += 1
    -          }
    +        // create the block by default as sparse.
    +        // would probably be better to sample a subset of these
    +        // vectors first before creating the entire matrix.
    +        // so that we don't have the overhead of creating a full second 
matrix in
    +        // the case that the matrix is not Spars
    +        val block = new DenseMatrix(vectors.length, blockncol)
    +        var row = 0
    +        while (row < vectors.length) {
    +          block(row, ::) := vectors(row)
    +          row += 1
    +        }
    +
    +        // Test the density of the data. If the matrix does not meet the
    +        // requirements for sparsity, convert the Vectors to a dense 
Matrix.
    +        val resBlock = if (isMatrixDense(block)) {
               block
    --- End diff --
    
    currently fails this test (when testing samples of the full matrix) with a 
density threshold of .3 rows/matrix containing,  .30% nonZeroElements/row and a 
sample size or .25 (with a minimum of one row to test):
    ```scala
    test("DRM blockify sparse -> SRM") {
    
        val inCoreA = sparse(
          (1, 2, 3),
          0 -> 3 :: 2 -> 5 :: Nil
        )
        val drmA = drmParallelize(inCoreA, numPartitions = 2)
    
        (inCoreA - drmA.mapBlock() {
          case (keys, block) =>
            if (!block.isInstanceOf[SparseRowMatrix])
              throw new AssertionError("Block must be dense.")
            keys -> block
        }).norm should be < 1e-4
      }
    ```


> Sparse/Dense Matrix analysis for Matrix Multiplication
> ------------------------------------------------------
>
>                 Key: MAHOUT-1837
>                 URL: https://issues.apache.org/jira/browse/MAHOUT-1837
>             Project: Mahout
>          Issue Type: Improvement
>          Components: Math
>    Affects Versions: 0.12.0
>            Reporter: Andrew Palumbo
>            Assignee: Andrew Palumbo
>             Fix For: 0.12.1
>
>
> In matrix multiplication, Sparse Matrices can easily turn dense and bloat 
> memory,  one fully dense column and one fully dense row can cause a sparse 
> %*% sparse operation have a dense result.  
> There are two issues here one with a quick Fix and one a bit more involved:
>    #  in {{ABt.Scala}} use check the `MatrixFlavor` of the combiner and use 
> the flavor of the Block as the resulting Sparse or Dense matrix type:
> {code}
> val comb = if (block.getFlavor == MatrixFlavor.SPARSELIKE) {
>               new SparseMatrix(prodNCol, block.nrow).t
>             } else {
>               new DenseMatrix(prodNCol, block.nrow).t
>             }
> {code}
>  a simlar check needs to be made in the {{blockify}} transformation.
>  
>    #  More importantly, and more involved is to do an actual analysis of the 
> resulting matrix data in the in-core {{mmul}} class and use a matrix of the 
> appropriate Structure as a result. 



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