no code implementations • 26 Sep 2022 • Cécile Hautecoeur, Lieven De Lathauwer, Nicolas Gillis, François Glineur
When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational functions, which allow fairly general models; this is referred to as NMF using rational functions (R-NMF).
2 code implementations • 24 Feb 2022 • Pooya Ashtari, Diana M. Sima, Lieven De Lathauwer, Dominique Sappey-Marinier, Frederik Maes, Sabine Van Huffel
Specifically, we propose a linearly scalable approach to context modeling, formulating Nonnegative Matrix Factorization (NMF) as a differentiable layer integrated into a U-shaped architecture.
no code implementations • 15 Jun 2020 • Xiao Fu, Nico Vervliet, Lieven De Lathauwer, Kejun Huang, Nicolas Gillis
The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization.
no code implementations • 12 May 2020 • Christos Chatzichristos, Eleftherios Kofidis, Lieven De Lathauwer, Sergios Theodoridis, Sabine Van Huffel
The fusion methods reported so far ignore the underlying multi-way nature of the data in at least one of the modalities and/or rely on very strong assumptions about the relation of the two datasets.
no code implementations • 30 Dec 2016 • Xiao-Feng Gong, Qiu-Hua Lin, Feng-Yu Cong, Lieven De Lathauwer
We show how, by using second-order multi-set statistics in J-BSS, a specific double coupled canonical polyadic decomposition (DC-CPD) problem can be formulated.
no code implementations • 6 Jul 2016 • Nicholas D. Sidiropoulos, Lieven De Lathauwer, Xiao Fu, Kejun Huang, Evangelos E. Papalexakis, Christos Faloutsos
Tensors or {\em multi-way arrays} are functions of three or more indices $(i, j, k,\cdots)$ -- similar to matrices (two-way arrays), which are functions of two indices $(r, c)$ for (row, column).
no code implementations • 18 Oct 2013 • Marco Signoretto, Lieven De Lathauwer, Johan A. K. Suykens
We present a general framework to learn functions in tensor product reproducing kernel Hilbert spaces (TP-RKHSs).