Thanks, that's looks the most suitable solution if I'll multiply the
weights in both L1 and L2.

Currently the paper I use is following the Adaptive elastic net, that is
the weights are multiplied only in the Lasso penalty. I don't know what is
the effect if the weights are multiplied in the Ridge penalty too.
I revised the paper but they didn't say why it is multiplied in L1 only but
not in L2.

Any ideas about that?

-- 
Doaa Altarawy,
PhD Student, Computer Science,
Virginia Tech, USA.
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