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Banana1530 avatar Banana1530 commented on June 19, 2024

It is not homogeneous of order 1.

from moma.

michaelweylandt avatar michaelweylandt commented on June 19, 2024

I think we can actually get by without homogeneity of order 1: e.g., the SCAD and MCP penalties are not PH1, but they are still useful.

If you look at the proofs closely (there's a new version of the ArXiv paper), PH1 is only needed to show that the prox + project step is actually implementing the prox of the sum of two functions and hence we can analyze the convergence as a prox gradient method. I'm pretty sure that we could instead consider a projected proximal gradient (i.e., prox gradient for problems with constraints) method instead, but a quick search doesn't pull anything up.

If we do implement EN, any thoughts on how to deal with double parameters?

from moma.

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