3 papers
math.OC2026
A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
R. Díaz Millán, O. P. Ferreira, M. S. Louzeiro +1
We study optimization problems on Hadamard manifolds, motivated by recent advances in geometric approaches to optimization on curved spaces, particularly those involving the struct…
math.OC2024
Global minimisation of nonconvex functions by generalising the mirror descent method
Reinier Díaz Millán, Julien Ugon
In this paper we introduce two conceptual algorithms for minimising abstract convex functions. Both algorithms rely on solving a proximal-type subproblem with an abstract Bregman d…
math.OC2023
Frank--Wolfe algorithms for piecewise star-convex functions with a nonsmooth difference-of-convex structure
R. Díaz Millán, O. P. Ferreira, J. Ugon
In the present paper, we formulate two versions of Frank--Wolfe algorithm or conditional gradient method to solve the DC optimization problem with an adaptive step size. The DC obj…