D. Brie, N. Gillis and S. Moussaoui, "Non-negative Matrix Factorization", Chapter 3 in Source Separation in Physical-Chemical Sensing, Editors: C. Jutten, L. Tomazeli Duarte, S. Moussaoui, pp. 103-149, 2024. [doi]
N. Gillis and P. Sharma, "Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization", this book chapter will be published in the C.I.M.E. foundation subseries, Lecture Notes in Mathematics, following the CIME summer school on "Matrix nearness problems and eigenvalue optimization", 2024. [doi] [pdf] [arXiv]
N. Gillis, "Learning with Nonnegative Matrix Factorizations", SIAM News 52 (5), pp. 1-3, 2019. [link]
N. Gillis, "Introduction to Nonnegative Matrix Factorization", SIAG/OPT Views and News 25 (1), pp. 7-16, 2017. [pdf] [arXiv]
N. Gillis, "The Why and How of Nonnegative Matrix Factorization", In: "Regularization, Optimization, Kernels, and Support Vector Machines", J.A.K. Suykens, M. Signoretto and A. Argyriou (eds), Chapman & Hall/CRC, Machine Learning and Pattern Recognition Series, pp. 257-291, 2014. [arXiv]
N. Gillis and F. Glineur, "Nonnegative Factorization and the Maximum Edge Biclique Problem", CORE Discussion Paper 2008/64. [arXiv] (Most material reused for "A Continuous Characterization of the Maximum-Edge Biclique Problem”, Journal of Global Optimization, 2014.)
N. Gillis, "Nonnegative Matrix Factorization: Complexity, Algorithms and Applications", PhD thesis, Université catholique de Louvain, February 2011. [pdf] [Slides] Supervisor: François Glineur. (ICTEAM Thesis Award 2012, Householder award 2014)
N. Gillis, "Approximation et sous-approximation de matrices par factorisation positive: algorithmes, complexité et applications", MSc thesis, June 2007. [pdf] Supervisor: François Glineur. (SOGESCI-B.V.W.B Thesis Award 2008)