Search Results for author: Alvaro De Pierro

Found 2 papers, 0 papers with code

A telescoping Bregmanian proximal gradient method without the global Lipschitz continuity assumption

no code implementations19 Apr 2018 Daniel Reem, Simeon Reich, Alvaro De Pierro

In this paper, we discuss, in a wide class of finite and infinite-dimensional spaces, a new variant of the proximal gradient method which does not impose the above-mentioned global Lipschitz continuity assumption.

Re-examination of Bregman functions and new properties of their divergences

no code implementations1 Mar 2018 Daniel Reem, Simeon Reich, Alvaro De Pierro

Moreover, it sheds new light on several known Bregman functions such as quadratic entropies, the negative Havrda-Charv\'at-Tsallis entropy, and the negative Boltzmann-Gibbs-Shannon entropy, and it shows that the negative Burg entropy, which is not a Bregman function according to the classical theory but nevertheless is known to have "Bregmanian properties", can, by our re-examination of the theory, be considered as a Bregman function.

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