My research interests are Tensor Decompositions, Non-negative Matrix Factorizations, Algebraic Complexity Theory
My research interests are Tensor Decompositions, Non-negative Matrix Factorizations, Algebraic Complexity Theory
Publications
Preprints
Manifold-based Algorithms for the Hadamard Decomposition (arxiv) (code)
Joint work with Nicolas Gillis, Stefano Sicilia and Arnaud Vandaele
Robustness of Minimum-Volume Nonnegative Matrix Factorization under an Expanded Sufficiently Scattered Condition (arxiv)
Joint work with Giovanni Barbarino and Nicolas Gillis (UMons)
Undercomplete Decomposition of Symmetric Tensors in Linear Time, and Smoothed Analysis of the Condition Number (arxiv)
Joint work with Pascal Koiran (ENS Lyon)
Journals
Identifiability of Nonnegative Tucker Decompositions – Part I: Theory (arxiv)
Joint work with Giovanni Barbarino and Nicolas Gillis (UMons)
Accepted in SIAM Journal of Matrix Analysis and Applications
Absolute reconstruction for sums of powers of linear forms: degree 3 and beyond (journal version)
Joint work with Pascal Koiran (ENS Lyon)
Accepted in Computational Complexity (2023)
This is an extended version of the FSTTCS '22 paper.
Conferences
A Simple and Flexible ADMM-Based Framework for Tensor Decompositions (paper)
Joint work with Atharva Awari, Nicolas Gillis and Arnaud Vandaele
To appear at the 34th European Signal Processing Conference (EUSIPCO), 2026
Black Box Absolute Reconstruction for Sums of Powers of Linear Forms (conference) (slides)
Joint work with Pascal Koiran (ENS Lyon)
In 42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2022)
Complete Decomposition of Symmetric Tensors in Linear Time and Polylogarithmic Precision (conference)(arxiv) (slides)(journal version)
Joint work with Pascal Koiran (ENS Lyon)
In 13th International Conference on Algorithms and Complexity (CIAC 2023)
Invited and Accepted in the special issue Algorithms and Complexity: Selected Papers from CIAC 2023 of Theoretical Computer Science
Dissertations