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https://issues.apache.org/jira/browse/MAHOUT-836?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13136150#comment-13136150
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Olivier Grisel commented on MAHOUT-836:
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As explained in Sujit's blog post, RPCA is minimizing an objective function 
that combines the nuclear norm of a dense low-rank approximation of the data + 
the L_1 norm of a sparse additive noise matrix.

As a complement to this blog post, here is a very interesting tutorial by 
Emmanuel Candes here (the RPCA part starts around the middle of the 
presentation, min 38):

  http://videolectures.net/mlss2011_candes_lowrank/
                
> On donating my Robust PCA Java code to Mahout
> ---------------------------------------------
>
>                 Key: MAHOUT-836
>                 URL: https://issues.apache.org/jira/browse/MAHOUT-836
>             Project: Mahout
>          Issue Type: New JIRA Project
>          Components: Classification
>         Environment: Platform independent
>            Reporter: Sujit Nair
>              Labels: newbie
>   Original Estimate: 672h
>  Remaining Estimate: 672h
>
> Hi All,
> I have an implementation of Robust PCA (a.k.a low rank and sparse 
> decomposition) in Java which I would like to donate to Mahout. I am a MATLAB 
> expert, comfortable with C++ and have just started with Java. I am completely 
> new to Mahout but am very excited to participate and contribute. 
> I have tested my code exhaustively and there does not seem to be any issues. 
> The results are very good but the code definitely needs some optimization. 
> Please let me know if there is interest. 
> Thanks,
> Sujit

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