Vandaele, Arnaud ; Université de Mons - UMONS > Faculté Polytechnique > Service de Mathématique et Recherche opérationnelle
Gillis, Nicolas ; Université de Mons - UMONS > Faculté Polytechnique > Service de Mathématique et Recherche opérationnelle
Language :
English
Title :
Component-wise Squared Factorization
Publication date :
22 September 2024
Event name :
IEEE International Workshop on Machine Learning for Signal Processing
Event place :
Londres, United Kingdom
Event date :
22-25 Septembre 2024
Audience :
International
Journal title :
IEEE International Workshop on Machine Learning for Signal Processing
ISSN :
2161-0363
eISSN :
2161-0371
Publisher :
Institute of Electrical and Electronic Engineers (IEEE), United States
Peer reviewed :
Peer Reviewed verified by ORBi
Research unit :
F151 - Mathématique et Recherche opérationnelle
Research institute :
R300 - Institut de Recherche en Technologies de l'Information et Sciences de l'Informatique R450 - Institut NUMEDIART pour les Technologies des Arts Numériques
European Projects :
HE - 101085607 - eLinoR - Beyond Low-Rank Factorizations
N. Gillis, Nonnegative matrix factorization, SIAM, Philadelphia, 2020.
N. Whiteley, A. Gray, and P. Rubin-Delanchy, "Matrix factorisation and the interpretation of geodesic distance, " NeurIPS, vol. 34, pp. 24-38, 2021.
L. K. Saul, "A nonlinear matrix decomposition for mining the zeros of sparse data, " SIAM J. Math. Data Sci., vol. 4, no. 2, pp. 431-463, 2022.
L. Loconte, A. M. Sladek, S. Mengel, M. Trapp, A. Solin, N. Gillis, and A. Vergari, "Subtractive mixture models via squaring: Representation and learning, " in ICLR, 2024.
L. Loconte, N. Di Mauro, R. Peharz, and A. Vergari, "How to turn your knowledge graph embeddings into generative models, " NeurIPS, 2023.
T. Lee and Z. Wei, "The square root rank of the correlation polytope is exponential, " arXiv preprint arXiv: 1411. 6712, 2014.
H. Fawzi, J. Gouveia, P. A. Parrilo, R. Z. Robinson, and R. R. Thomas, "Positive semidefinite rank, " Math. Prog., vol. 153, no. 1, pp. 133-177, July 2015.
A. Cichocki and A.-H. Phan, "Fast local algorithms for large scale nonnegative matrix and tensor factorizations, " IEICE Trans. Fundam. Electron. Comput. Sci., vol. 92, no. 3, pp. 708-721, 2009.
N. Gillis and F. Glineur, "Accelerated multiplicative updates and hierarchical als algorithms for nonnegative matrix factorization, " Neural Comput., vol. 24, pp. 1085-1105, 2012.
C.-J. Hsieh and I. S. Dhillon, "Fast coordinate descent methods with variable selection for non-negative matrix factorization, " in ACM SIGKDD, 2011, pp. 1064-1072.
A. Vandaele, N. Gillis, Q. Lei, K. Zhong, and I. Dhillon, "Efficient and non-convex coordinate descent for symmetric nonnegative matrix factorization, " IEEE Trans. Signal Process., vol. 64, no. 21, pp. 5571-5584, 2016.
A. Vandaele, F. Glineur, and N. Gillis, "Algorithms for positive semidefinite factorization, " Computat. Optim. Appl., vol. 71, no. 1, pp. 193-219, 2018.
G. Cardano, Ars magna or the rules of algebra, Dover Publications, 1968.
A. M. S. Ang and N. Gillis, "Accelerating nonnegative matrix factorization algorithms using extrapolation, " Neural Comput., vol. 31, pp. 417-439, 2019.
L. T. Hien, D. N. Phan, and N. Gillis, "An inertial block majorization minimization framework for nonsmooth nonconvex optimization, " Journal of Machine Learning Research, vol. 24, no. 18, pp. 1-41, 2023.
