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math.OC2023
Forward-Backward algorithms for weakly convex problems
Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1
We investigate the convergence properties of exact and inexact forward-backward algorithms to minimise the sum of two weakly convex functions defined on a Hilbert space, where one…
math.OC2022
Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1
We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convex…