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https://issues.apache.org/jira/browse/MATH-867?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13466308#comment-13466308
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Nikolaus Hansen commented on MATH-867:
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{quote}
Revision 1391840 contains modified "encode" and "decode" functions. Both unit 
tests now pass (for "testConstrainedRosen" I had to move the initial guess 
closer to the solution).
No change was required for "inputSigma"; I still do not understand why it works 
as is (cf. lines 588, 589). 
{quote}
to me it makes perfectly sense: luckily enough line 589 performs the same 
transformation on inputSigma as the encode function on getStartPoint() (maybe 
this should be mentioned in a comment?). As the transformation is linear, the 
situations before and after the transformations are mathematically equivalent 
(the bug came from loosing digits due to a subtraction, which is now omitted). 
As said before it would simplify the code if both transformations were omitted 
(but we could leave this to another issue). 

{quote}
And I have no idea how to improve the documentation...
{quote}
I'll think about it. 

                
> CMAESOptimizer with bounds fits finely near lower bound and coarsely near 
> upper bound. 
> ---------------------------------------------------------------------------------------
>
>                 Key: MATH-867
>                 URL: https://issues.apache.org/jira/browse/MATH-867
>             Project: Commons Math
>          Issue Type: Bug
>            Reporter: Frank Hess
>         Attachments: MATH867_patch, Math867Test.java
>
>
> When fitting with bounds, the CMAESOptimizer fits finely near the lower bound 
> and coarsely near the upper bound.  This is because it internally maps the 
> fitted parameter range into the interval [0,1].  The unit of least precision 
> (ulp) between floating point numbers is much smaller near zero than near one. 
>  Thus, fits have much better resolution near the lower bound (which is mapped 
> to zero) than the upper bound (which is mapped to one).  I will attach a 
> example program to demonstrate.

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