> Hi Alexandre, I haven't been checking my email and I heard about your
> message last night from a slightly drunken Gramfort, Grisel, Pinto and
> Poilvert in French in a loud bar here in Cambridge. Thanks for the PR
> :)

too much information :)

> I think there are some findings on this topic that would be good and
> appropriate for scikits, and easy to do.
>
> 1. random sampling should generally be used instead of grid search.
> They may feel similar, but theoretically and empirically, sampling
> from a hypercube parameter space will typically work better than
> iterating over the points of a grid lattice for hyper-parameter
> optimization.  For some response functions the lattice can be slightly
> more efficient, but risks being terribly inefficient. So if you have
> to pick one, pick uniform sampling.
>
> 2. Gaussian process w. Expected Improvement global optimization.
> This is an established technique for global optimization that has
> about the right scaling properties to be good for hyper-parameter
> optimization.  I think you probably can't do much better than a
> Gaussian Process (GP) with Expected Improvement (EI) for optimizing
> the parameters of say, an SVM, but we can only try and see (and
> compare with the variety of other techniques for global optimization).
> The scikit already has GP fitting in it, scipy has good optimization
> routines, so why not put them together to make a hyper-parameter
> optimizer? I think this would be a good addition to the scikit, and
> not too hard (the hard parts are already done).

can you point us to some pdfs ? or maybe write some kind of pseudo code?

And as usual pull request / patch welcome :)

Alex

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