4 papers
Frank--Wolfe algorithms for piecewise star-convex functions with a nonsmooth difference-of-convex structure
R. DÃaz 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…
A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
R. DÃaz 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…
Global minimisation of nonconvex functions by generalising the mirror descent method
Reinier DÃaz 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…
Frank-Wolfe algorithm for star-convex functions
R. Diaz Millan, Orizon Pereira Ferreira, Julien Ugon
We study the Frank-Wolfe algorithm for minimizing a differentiable function with Lipschitz continuous gradient over a compact convex set. To extend classical complexity bounds to c…