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https://issues.apache.org/jira/browse/MAHOUT-1837?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15348602#comment-15348602
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ASF GitHub Bot commented on MAHOUT-1837:
----------------------------------------

GitHub user andrewpalumbo opened a pull request:

    https://github.com/apache/mahout/pull/244

    MAHOUT-1837 flip <= threshold to > at the final return for dense

    fix for the incorrect threshold analysis


You can merge this pull request into a Git repository by running:

    $ git pull https://github.com/andrewpalumbo/mahout MAHOUT-1837-b

Alternatively you can review and apply these changes as the patch at:

    https://github.com/apache/mahout/pull/244.patch

To close this pull request, make a commit to your master/trunk branch
with (at least) the following in the commit message:

    This closes #244
    
----
commit 1388d8f2d3bbdc50bf0e554b6b9176da2231f7d1
Author: Andrew Palumbo <[email protected]>
Date:   2016-06-24T20:51:36Z

    flip <= threshold to > at the final return for dense

----


> 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: 0.13.0
>
>         Attachments: compareDensityTest.ods
>
>
> 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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