Beyond Low-Rank Factorizations

Project Information

eLinoR

Grant agreement ID: 101085607

DOI

10.3030/101085607

EC signature date 13 February 2023

Start date 1 September 2023

End date 31 August 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 982 515,00

EU contribution

€ 1 982 515,00

Coordinated by

UNIVERSITE DE MONS
Belgium

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

The Data Management plan is currently being drafted

Publications

Peer reviewed articles (19)

Instance-wise distributionally robust nonnegative matrix factorization

Author(s): Wafa Barkhoda, Amjad Seyedi, Nicolas Gillis, Fardin Akhlaghian Tab
Published in: Pattern Recognition, Issue 169, 2025, ISSN 0031-3203
Publisher: Elsevier BV
DOI: 10.1016/J.PATCOG.2025.111732

On Properties and Structure of the Analytic Singular Value Decomposition

Author(s): Stephan Weiss, Ian K. Proudler, Giovanni Barbarino, Jennifer Pestana, John G. McWhirter
Published in: IEEE Transactions on Signal Processing, Issue 72, 2024, ISSN 1053-587X
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TSP.2024.3387726

Orthogonal nonnegative matrix factorization with the Kullback–Leibler divergence

Author(s): Jean Pacifique Nkurunziza, Fulgence Nahayo, Nicolas Gillis
Published in: Pattern Recognition Letters, Issue 197, 2025, ISSN 0167-8655
Publisher: Elsevier BV
DOI: 10.1016/J.PATREC.2025.08.012

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

Author(s): Nicolas Gillis, Stefano Sicilia
Published in: Linear Algebra and its Applications, Issue 724, 2025, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/J.LAA.2025.06.005

On the Robustness of the Successive Projection Algorithm

Author(s): Giovanni Barbarino, Nicolas Gillis
Published in: SIAM Journal on Matrix Analysis and Applications, Issue 46, 2025, ISSN 0895-4798
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M171293X

Matrix-less spectral approximation for large structured matrices

Author(s): Giovanni Barbarino; Melker Claesson; Sven-Erik Ekström; Carlo Garoni; David Meadon; Hendrik Speleers
Published in: BIT Numerical Mathematics, 2024, ISSN 1572-9125
Publisher: Springer
DOI: 10.1007/S10543-024-01041-W

Complete decomposition of symmetric tensors in linear time and polylogarithmic precision

Author(s): Pascal Koiran, Subhayan Saha
Published in: Theoretical Computer Science, Issue 1037, 2025, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/J.TCS.2025.115159

Assigning Stationary Distributions to Sparse Stochastic Matrices

Author(s): Nicolas Gillis, Paul Van Dooren
Published in: SIAM Journal on Matrix Analysis and Applications, Issue 45, 2024, ISSN 0895-4798
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1627328

Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization

Author(s): Maryam Abdolali, Giovanni Barbarino, Nicolas Gillis
Published in: SIAM Journal on Imaging Sciences, Issue 17, 2024, ISSN 1936-4954
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1650600

An alternating minimization algorithm with trajectory for direct exoplanet detection

Author(s): H. Daglayan, S. Vary, O. Absil, F. Cantalloube, V. Christiaens, N. Gillis, L. Jacques, V. Leplat, P.-A. Absil
Published in: Astronomy & Astrophysics, Issue 692, 2024, ISSN 0004-6361
Publisher: EDP Sciences
DOI: 10.1051/0004-6361/202451242

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

Author(s): Neelam Choudhary, Nicolas Gillis, Punit Sharma
Published in: Linear and Multilinear Algebra, 2024, ISSN 0308-1087
Publisher: 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

Author(s): Giovanni Barbarino, Antonio Cicone
Published in: Numerische Mathematik, Issue 156, 2024, ISSN 0029-599X
Publisher: 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

Author(s): Nicolas Gillis, Robert Luce
Published in: IEEE Signal Processing Letters, Issue 31, 2024, ISSN 1070-9908
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/LSP.2024.3411521

Spectral properties of flipped Toeplitz matrices and computational applications

Author(s): Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni, David Meadon, Stefano Serra-Capizzano, Paris Vassalos
Published in: Applied Mathematics and Computation, Issue 499, 2025, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/J.AMC.2025.129408

Deep Nonnegative Matrix Factorization With Beta Divergences

Author(s): Valentin Leplat, Le T. K. Hien, Akwum Onwunta, Nicolas Gillis
Published in: Neural Computation, Issue 36, 2024, ISSN 0899-7667
Publisher: MIT Press
DOI: 10.1162/NECO_A_01679

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

Author(s): Le Thi Khanh Hien, Valentin Leplat, Nicolas Gillis
Published in: SIAM Journal on Mathematics of Data Science, Issue 7, 2025, ISSN 2577-0187
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1660188

GLT sequences and normal matrices

Author(s): Giovanni Barbarino, Carlo Garoni
Published in: The Electronic Journal of Linear Algebra, Issue 41, 2025, ISSN 1081-3810
Publisher: 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

Author(s): Giovanni Barbarino
Published in: Linear Algebra and its Applications, 2024, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/J.LAA.2024.03.027

Extension and convergence analysis of Iterative Filtering to spherical data

Author(s): Giovanni Barbarino, Roberto Cavassi, Antonio Cicone
Published in: Linear Algebra and its Applications, 2024, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/J.LAA.2024.06.002

Conference proceedings (6)

Coordinate Descent Algorithm for Nonlinear Matrix Decomposition with the ReLU Function

Author(s): Atharva Awari; Harrison Nguyen; Samuel Wertz; Arnaud Vandaele; Nicolas Gillis
Published in: European Signal Processing Conference (EUSIPCO), 2024
Publisher: IEEE

Component-Wise Squared Factorization

Author(s): Joakim Lefebvre, Arnaud Vandaele, Nicolas Gillis
Published in: 2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP), 2024
Publisher: IEEE
DOI: 10.1109/MLSP58920.2024.10734803

Minimum-Volume Nonnegative Matrix Completion

Author(s): Olivier Vu Thanh, Nicolas Gillis
Published in: European Signal Processing Conference (EUSIPCO), 2024
Publisher: IEEE

Subtractive Mixture Models via Squaring: Representation and Learning

Author(s): L. Loconte, A.M. Sladek, S. Mengel, M. Trapp, A. Solin, N. Gillis and A. Vergari
Published in: International Conference on Learning Representations, 2024
Publisher: ICLR

Boolean Matrix Tri-Factorization

Author(s): Christos Kolomvakis, Arnaud Vandaele, Nicolas Gillis
Published in: ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2025
Publisher: IEEE
DOI: 10.1109/ICASSP49660.2025.10889808

Orthogonal Symmetric Nonnegative Matrix Tri-Factorization

Author(s): Alexandra Dache, Arnaud Vandaele, Nicolas Gillis
Published in: 2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP), 2024
Publisher: IEEE
DOI: 10.1109/MLSP58920.2024.10734715

Book chapters (1)

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

Author(s): Nicolas Gillis, Punit Sharma
Published in: Lecture Notes in Mathematics, Recent Stability Issues for Linear Dynamical Systems, 2024
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-031-71326-2_1