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https://issues.apache.org/jira/browse/MATH-867?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13466199#comment-13466199
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Nikolaus Hansen commented on MATH-867:
--------------------------------------

I second to make encode/decode the identity to address the bug. I don't even 
see a different way to address it. Then, inputSigma/sigmaArray/insigma should 
become independent of the boundary values (which seems consistent with the doc, 
as long as encode/decode remains the identity). 

my previous snippet must read 
{code}
guess[i] - sigmaArray[i]/2. > fitfun.encode(boundaries[0])[i]
{code}
because we have
{code}
final double[] guess = fitfun.encode(getStartPoint());
{code}
i.e. guess is an encoded initial guess. 
                
> 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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