Hi James,

I'm not sure how useful a minimum alpha would be. Even if no weights
are shrunk quite to zero, the regularization can still impact
performance metrics.  I would be curious what application you have in
mind for this.

The max alpha question is interesting, I am curious as well. (Sorry my
reply can't be more helpful!)

Yours,
Vlad

On Tue, Feb 2, 2016 at 3:45 PM, James Jensen <jdjen...@eng.ucsd.edu> wrote:
> For ElasticNetCV, inside the function _alpha_grid() it computes the maximum
> regularization strength alpha, with a given dataset X, target Y, and L1
> ratio, for which there will be at least one nonzero coefficient. I'm
> wondering if/how the same could be computed for sklearn's L1/L2-regularized
> NMF. I'm also interested in computing a minimum alpha (the smallest at which
> there are more nonzero coefficients than with alpha=0).
>
> Does anyone know how this could be done?
>
> Thanks,
>
> James Jensen
> PhD student, Bioinformatics and Systems Biology
> Trey Ideker lab
> University of California, San Diego
>
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