3 accepted papers
Matrix tri-factorizations (MTFs) aim to decompose an input matrix X into the product of three factor matrices, instead of only two as in standard matrix factorization (MF). In contrast to MF, MTF is able to cluster both rows and columns of X while quantifying the relationship among these two groups…
We introduce a new Nonnegative Matrix Factorization (NMF) model called Nonnegative Unimodal Matrix Factorization (NuMF), which adds on top of NMF the unimodal condition on the columns of the basis matrix. NuMF finds applications for example in analytical chemistry. We propose a simple but naive brut…
We propose a novel approach to solve exactly the sparse nonnegative least squares problem, under hard ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> sparsity constraints. This approach is based on a dedicated branch-and-bound algorithm. This…