3 papers
eess.SP2026
Alternating Direction Method of Multipliers for Nonlinear Matrix Decompositions
Atharva Awari, Nicolas Gillis, Arnaud Vandaele
We present an algorithm based on the alternating direction method of multipliers (ADMM) for solving nonlinear matrix decompositions (NMD). Given an input matrix $X \in \mathbb{R}^{…
cs.LG2026
An extrapolated and provably convergent algorithm for nonlinear matrix decomposition with the ReLU function
Nicolas Gillis, Margherita Porcelli, Giovanni Seraghiti
ReLU matrix decomposition (RMD) is the following problem: given a sparse, nonnegative matrix and a factorization rank , identify a rank- matrix such that $X\approx \…
math.NA2025
Minimum-norm solutions of the non-symmetric semidefinite Procrustes problem
Nicolas Gillis, Stefano Sicilia
Given two matrices and a set , a Procrustes problem consists in finding a matrix su…