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https://issues.apache.org/jira/browse/MATH-1394?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17736754#comment-17736754
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Gilles Sadowski commented on MATH-1394:
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{quote}I see in description there is a link to a paper [...]
{quote}
I don't see the link to such a paper, only a link to GH...
A quick search on Web turned up the link which I
[posted|https://link.springer.com/article/10.1007/s10898-020-00952-6] on
MATH-621.
bq. [Is a] paper acceptable [as the] basis to implement the functionality from
scratch?
Sure.
> Implementation of DIRECT global optimizer
> -----------------------------------------
>
> Key: MATH-1394
> URL: https://issues.apache.org/jira/browse/MATH-1394
> Project: Commons Math
> Issue Type: New Feature
> Affects Versions: 3.5, 3.6
> Reporter: Kevin A. Burton
> Priority: Major
> Fix For: 4.X
>
>
> An open source implementation of the DIRECT global optimizer, described by
> Jones, Perttunen and Stuckmann, implementing
> math3.optim.nonlinear.scalar.MultivariateOptimizer, is available as
> DIRECTOptimizer.java at
> https://github.com/edwardkort/WWIDesigner/tree/optimizer/WWIDesigner/src/main/com/wwidesigner/math.
> There are also three variants of the algorithm on that page:
> DIRECT_L_Optimizer implements DIRECT-L by Gablonsky and Kelley,
> DIRECT1Optimizer changes which sides are chosen for dividing, and
> DIRECTCOptimizer adds alternative ways to select potentially-optimal
> hyperrectangles.
> DIRECT is not as fast as BOBYQA, but is better at finding a global minimum in
> a field of many local minima.
> JUnit tests for all of these, using standard optimizer test functions, are
> available in
> https://github.com/edwardkort/WWIDesigner/tree/optimizer/WWIDesigner/src/test/com/wwidesigner/math.
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