2 citations · 3 across the 4 of their papers we have counts for
5 papers
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}^{…
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 \m…
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…
Assigning Stationary Distributions to Sparse Stochastic Matrices
Nicolas Gillis, Paul Van Dooren
The target stationary distribution problem (TSDP) is the following: given an irreducible stochastic matrix and a target stationary distribution , construct a minimum no…
Subtractive Mixture Models via Squaring: Representation and Learning
Lorenzo Loconte, Aleksanteri M. Sladek, Stefan Mengel +4
Mixture models are traditionally represented and learned by adding several distributions as components. Allowing mixtures to subtract probability mass or density can drastically re…