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https://issues.apache.org/jira/browse/SPARK-1503?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14597195#comment-14597195
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Joseph K. Bradley commented on SPARK-1503:
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Thanks!  [~lewuathe] I probably should have looked into this more carefully 
before your PR.  It would be good to understand the best criterion.  
Regardless, I believe most of your PR's changes should carry over.

[~staple]  [~mengxr]  Do you know what the basis of the TFOCS stopping 
criterion is?  I don't see that detail described in the paper.

Barring a better understanding...I guess I'd vote to mimic TFOCS.

> Implement Nesterov's accelerated first-order method
> ---------------------------------------------------
>
>                 Key: SPARK-1503
>                 URL: https://issues.apache.org/jira/browse/SPARK-1503
>             Project: Spark
>          Issue Type: New Feature
>          Components: MLlib
>            Reporter: Xiangrui Meng
>            Assignee: Aaron Staple
>         Attachments: linear.png, linear_l1.png, logistic.png, logistic_l2.png
>
>
> Nesterov's accelerated first-order method is a drop-in replacement for 
> steepest descent but it converges much faster. We should implement this 
> method and compare its performance with existing algorithms, including SGD 
> and L-BFGS.
> TFOCS (http://cvxr.com/tfocs/) is a reference implementation of Nesterov's 
> method and its variants on composite objectives.



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