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math.OC2024
A Bregman firmly nonexpansive proximal operator for baryconvex optimization
Mastane Achab
We present a generalization of the proximal operator defined through a convex combination of convex objectives, where the coefficients are updated in a minimax fashion. We prove th…
math.OC2023
Beyond Log-Concavity: Theory and Algorithm for Sum-Log-Concave Optimization
Mastane Achab
This paper extends the classic theory of convex optimization to the minimization of functions that are equal to the negated logarithm of what we term as a sum-log-concave function,…