4 papers
A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems with application to symmetric nonnegative matrix tri-factorization
Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis +1
We propose BIBPA, a block inertial Bregman proximal algorithm for minimizing the sum of a block relatively smooth function (that is, relatively smooth concerning each block) and bl…
Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization
Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos
We propose inertial versions of block coordinate descent methods for solving non-convex non-smooth composite optimization problems. Our methods possess three main advantages compar…
Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization
Nicolas Gillis, Le Thi Khanh Hien, Valentin Leplat +1
Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function th…
A global linear and local superlinear/quadratic inexact non-interior continuation method for variational inequalities
Le Thi Khanh Hien, Chek Beng Chua
We use the concept of barrier-based smoothing approximations introduced in [ C. B. Chua and Z. Li, A barrier-based smoothing proximal point algorithm for NCPs over closed convex co…