54 citations · 128 across the 18 of their papers we have counts for
3 papers · 1 filter
Algorithms for Boolean Matrix Factorization using Integer Programming and Heuristics
Christos Kolomvakis, Thomas Bobille, Arnaud Vandaele +1
Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. Unlike binary matrix factorization based on standard arith…
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}^{…
Efficient algorithms for the Hadamard decomposition
Samuel Wertz, Arnaud Vandaele, Nicolas Gillis
The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank m…