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cs.LG2026
Maximum-Volume Nonnegative Matrix Factorization
Olivier Vu Thanh, Nicolas Gillis
Nonnegative matrix factorization (NMF) is a popular data embedding technique. Given a nonnegative data matrix , it aims at finding two lower dimensional matrices, and , s…
cs.LG2024
Low-Rank Matrix Factorizations with Volume-based Constraints and Regularizations
Olivier Vu Thanh
Low-rank matrix factorizations are a class of linear models widely used in various fields such as machine learning, signal processing, and data analysis. These models approximate a…
cs.LG2022★ 4 cited
Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications
Olivier Vu Thanh, Nicolas Gillis, Fabian Lecron
In this paper, we propose a new low-rank matrix factorization model dubbed bounded simplex-structured matrix factorization (BSSMF). Given an input matrix and a factorization ra…