Beyond Low-Rank Factorizations

Información del proyecto

eLinoR

Identificador del acuerdo de subvención: 101085607

DOI

10.3030/101085607

Fecha de la firma de la CE 13 Febrero 2023

Fecha de inicio 1 Septiembre 2023

Fecha de finalización 31 Agosto 2028

Financiado con arreglo a

• European Research Council (ERC)

Coste total

€ 1 982 515,00

Aportación de la UE

€ 1 982 515,00

Coordinado por

UNIVERSITE DE MONS
Belgium

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Resultado final

Data Management Plan (1)

Data Management Plan

The Data Management plan is currently being drafted

Publicaciones

Peer reviewed articles (19)

Instance-wise distributionally robust nonnegative matrix factorization

Autores: Wafa Barkhoda, Amjad Seyedi, Nicolas Gillis, Fardin Akhlaghian Tab
Publicado en: Pattern Recognition, Edición 169, 2025, ISSN 0031-3203
Editor: Elsevier BV
DOI: 10.1016/J.PATCOG.2025.111732

On Properties and Structure of the Analytic Singular Value Decomposition

Autores: Stephan Weiss, Ian K. Proudler, Giovanni Barbarino, Jennifer Pestana, John G. McWhirter
Publicado en: IEEE Transactions on Signal Processing, Edición 72, 2024, ISSN 1053-587X
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TSP.2024.3387726

Orthogonal nonnegative matrix factorization with the Kullback–Leibler divergence

Autores: Jean Pacifique Nkurunziza, Fulgence Nahayo, Nicolas Gillis
Publicado en: Pattern Recognition Letters, Edición 197, 2025, ISSN 0167-8655
Editor: Elsevier BV
DOI: 10.1016/J.PATREC.2025.08.012

Minimum-norm solutions of the non-symmetric semidefinite Procrustes problem

Autores: Nicolas Gillis, Stefano Sicilia
Publicado en: Linear Algebra and its Applications, Edición 724, 2025, ISSN 0024-3795
Editor: Elsevier BV
DOI: 10.1016/J.LAA.2025.06.005

On the Robustness of the Successive Projection Algorithm

Autores: Giovanni Barbarino, Nicolas Gillis
Publicado en: SIAM Journal on Matrix Analysis and Applications, Edición 46, 2025, ISSN 0895-4798
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M171293X

Matrix-less spectral approximation for large structured matrices

Autores: Giovanni Barbarino; Melker Claesson; Sven-Erik Ekström; Carlo Garoni; David Meadon; Hendrik Speleers
Publicado en: BIT Numerical Mathematics, 2024, ISSN 1572-9125
Editor: Springer
DOI: 10.1007/S10543-024-01041-W

Complete decomposition of symmetric tensors in linear time and polylogarithmic precision

Autores: Pascal Koiran, Subhayan Saha
Publicado en: Theoretical Computer Science, Edición 1037, 2025, ISSN 0304-3975
Editor: Elsevier BV
DOI: 10.1016/J.TCS.2025.115159

Assigning Stationary Distributions to Sparse Stochastic Matrices

Autores: Nicolas Gillis, Paul Van Dooren
Publicado en: SIAM Journal on Matrix Analysis and Applications, Edición 45, 2024, ISSN 0895-4798
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1627328

Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization

Autores: Maryam Abdolali, Giovanni Barbarino, Nicolas Gillis
Publicado en: SIAM Journal on Imaging Sciences, Edición 17, 2024, ISSN 1936-4954
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1650600

An alternating minimization algorithm with trajectory for direct exoplanet detection

Autores: H. Daglayan, S. Vary, O. Absil, F. Cantalloube, V. Christiaens, N. Gillis, L. Jacques, V. Leplat, P.-A. Absil
Publicado en: Astronomy & Astrophysics, Edición 692, 2024, ISSN 0004-6361
Editor: EDP Sciences
DOI: 10.1051/0004-6361/202451242

Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach

Autores: Neelam Choudhary, Nicolas Gillis, Punit Sharma
Publicado en: Linear and Multilinear Algebra, 2024, ISSN 0308-1087
Editor: Informa UK Limited
DOI: 10.1080/03081087.2024.2304144

Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method

Autores: Giovanni Barbarino, Antonio Cicone
Publicado en: Numerische Mathematik, Edición 156, 2024, ISSN 0029-599X
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S00211-024-01394-Y

Checking the Sufficiently Scattered Condition Using a Global Non-Convex Optimization Software

Autores: Nicolas Gillis, Robert Luce
Publicado en: IEEE Signal Processing Letters, Edición 31, 2024, ISSN 1070-9908
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/LSP.2024.3411521

Spectral properties of flipped Toeplitz matrices and computational applications

Autores: Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni, David Meadon, Stefano Serra-Capizzano, Paris Vassalos
Publicado en: Applied Mathematics and Computation, Edición 499, 2025, ISSN 0096-3003
Editor: Elsevier BV
DOI: 10.1016/J.AMC.2025.129408

Deep Nonnegative Matrix Factorization With Beta Divergences

Autores: Valentin Leplat, Le T. K. Hien, Akwum Onwunta, Nicolas Gillis
Publicado en: Neural Computation, Edición 36, 2024, ISSN 0899-7667
Editor: MIT Press
DOI: 10.1162/NECO_A_01679

Block Majorization Minimization with Extrapolation and Application to \({\beta }\)-NMF

Autores: Le Thi Khanh Hien, Valentin Leplat, Nicolas Gillis
Publicado en: SIAM Journal on Mathematics of Data Science, Edición 7, 2025, ISSN 2577-0187
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1660188

GLT sequences and normal matrices

Autores: Giovanni Barbarino, Carlo Garoni
Publicado en: The Electronic Journal of Linear Algebra, Edición 41, 2025, ISSN 1081-3810
Editor: University of Wyoming Libraries
DOI: 10.13001/ELA.2025.8929

On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference

Autores: Giovanni Barbarino
Publicado en: Linear Algebra and its Applications, 2024, ISSN 0024-3795
Editor: Elsevier BV
DOI: 10.1016/J.LAA.2024.03.027

Extension and convergence analysis of Iterative Filtering to spherical data

Autores: Giovanni Barbarino, Roberto Cavassi, Antonio Cicone
Publicado en: Linear Algebra and its Applications, 2024, ISSN 0024-3795
Editor: Elsevier BV
DOI: 10.1016/J.LAA.2024.06.002

Conference proceedings (6)

Coordinate Descent Algorithm for Nonlinear Matrix Decomposition with the ReLU Function

Autores: Atharva Awari; Harrison Nguyen; Samuel Wertz; Arnaud Vandaele; Nicolas Gillis
Publicado en: European Signal Processing Conference (EUSIPCO), 2024
Editor: IEEE

Component-Wise Squared Factorization

Autores: Joakim Lefebvre, Arnaud Vandaele, Nicolas Gillis
Publicado en: 2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP), 2024
Editor: IEEE
DOI: 10.1109/MLSP58920.2024.10734803

Minimum-Volume Nonnegative Matrix Completion

Autores: Olivier Vu Thanh, Nicolas Gillis
Publicado en: European Signal Processing Conference (EUSIPCO), 2024
Editor: IEEE

Subtractive Mixture Models via Squaring: Representation and Learning

Autores: L. Loconte, A.M. Sladek, S. Mengel, M. Trapp, A. Solin, N. Gillis and A. Vergari
Publicado en: International Conference on Learning Representations, 2024
Editor: ICLR

Boolean Matrix Tri-Factorization

Autores: Christos Kolomvakis, Arnaud Vandaele, Nicolas Gillis
Publicado en: ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2025
Editor: IEEE
DOI: 10.1109/ICASSP49660.2025.10889808

Orthogonal Symmetric Nonnegative Matrix Tri-Factorization

Autores: Alexandra Dache, Arnaud Vandaele, Nicolas Gillis
Publicado en: 2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP), 2024
Editor: IEEE
DOI: 10.1109/MLSP58920.2024.10734715

Book chapters (1)

Solving Matrix Nearness Problems via Hamiltonian Systems, Matrix Factorization, and Optimization

Autores: Nicolas Gillis, Punit Sharma
Publicado en: Lecture Notes in Mathematics, Recent Stability Edicións for Linear Dynamical Systems, 2024
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-031-71326-2_1