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### Highlights from Stochastic Radial Basis Function Algorithm for Global Optimization

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# Stochastic Radial Basis Function Algorithm for Global Optimization

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### Julie (view profile)

Solves computationally expensive black-box global optimization problems with box constraints

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Description

The Stochastic Radial Basis Function Algorithm aims at solving computationally expensive continuous black-box global optimization problems with box constraints. The algorithm uses radial basis functions to approximate the true objective function and to decide at which points in the variable domain the costly objective function should be evaluated. The algorithm uses a scoring criterion to select sample points, hence no auxiliary problem needs to be solved. The algorithm can do more than one function evaluation in parallel in each iteration if desired.

Required Products Statistics Toolbox
MATLAB release MATLAB 7.10 (R2010a)
Other requirements Parallel Computing Toolbox for the option of doing several evaluations in each iteration
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Comments and Ratings (5)
25 Jan 2015 Stéphane Franiatte

### Stéphane Franiatte (view profile)

Great work, thank you very much for sharing!

02 May 2014 Julie

### Julie (view profile)

Michal, if you scale your variables to [0,1] for the optimization and use lower bounds as 0 and upper bounds as 1, this works pretty well. You can scale your variables back to the original scale when calling your objective function evaluation, i.e. x in [0,1], scale it to original interval by using z= xlow + x*(xup-xlow), evaluate f(z).

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01 Aug 2013 Michal Kvasnicka

### Michal Kvasnicka (view profile)

Variable "sigma_stdev_default" should be estimated for each variable range in every dimension.

Current value corresponding to
minxrange = min(xrange)
as smallest variable range is not appropriate!!!

16 Jun 2013 Michal Kvasnicka

### Michal Kvasnicka (view profile)

What about constrained version???

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16 Jun 2013 Michal Kvasnicka

well done !!!