30 citations · 180 across the 40 of their papers we have counts for
3 papers · 1 filter
CBO: Consensus-Based Bi-Level Optimization
Nicolás García Trillos, Sixu Li, Konstantin Riedl +1
Bi-level optimization problems, where one wishes to find the global minimizer of an upper-level objective function over the globally optimal solution set of a lower-level objective…
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective
Yuetian Luo, Nicolas Garcia Trillos
We study a general matrix optimization problem with a fixed-rank positive semidefinite (PSD) constraint. We perform the Burer-Monteiro factorization and consider a particular Riema…
On the regularized risk of distributionally robust learning over deep neural networks
Camilo Garcia Trillos, Nicolas Garcia Trillos
In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, s…