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Nicolas Gillis

Nicolas Gillis

Overview

Nicolas Gillis is affiliated with the University of Mons in Belgium, focusing on research intersecting computer science and engineering. Their work spans several subfields, including computational mechanics, computer vision and pattern recognition, signal processing, computational theory and mathematics, and media technology.

The scientist's main research topics include sparse and compressive sensing techniques, face and expression recognition, blind source separation techniques, matrix theory and algorithms, advanced optimization algorithms research, remote-sensing image classification, and tensor decomposition and applications.

Recent publications by Nicolas Gillis cover various aspects of matrix factorization, signal processing, and clustering algorithms. Notable papers include:

  • "A survey on deep matrix factorizations" (2021, Computer Science Review)
  • "Blind Audio Source Separation With Minimum-Volume Beta-Divergence NMF" (2020, IEEE Transactions on Signal Processing)
  • "Beyond Linear Subspace Clustering: A Comparative Study of Nonlinear Manifold Clustering Algorithms" (2021, arXiv (Cornell University))
  • "Computing Large-Scale Matrix and Tensor Decomposition With Structured Factors: A Unified Nonconvex Optimization Perspective" (2020, IEEE Signal Processing Magazine)
  • "A consistent and flexible framework for deep matrix factorizations" (2022, Pattern Recognition)

Nicolas Gillis has collaborated frequently with several coauthors, including Le Thi Khanh Hien, Valentin Leplat, Arnaud Vandaele, Nicolas Nadisic, and Punit Sharma.

Publication venues where Nicolas Gillis appears regularly include arXiv (Cornell University), Linear Algebra and its Applications, IEEE Transactions on Signal Processing, the 2021 29th European Signal Processing Conference (EUSIPCO), and Numerical Linear Algebra with Applications.

The scientist has authored books published by notable publishers. These include a book on "Nonnegative Matrix Factorization" released in 2020 by the Society for Industrial and Applied Mathematics and a 2024 publication titled "Recent Stability Issues for Linear Dynamical Systems" with Springer Nature.

Best Publications

  • A Signal Processing Perspective on Hyperspectral Unmixing: Insights from Remote Sensing

    Wing-Kin Ma;Jose M. Bioucas-Dias;Tsung-Han Chan;Nicolas Gillis

  • Fast and Robust Recursive Algorithmsfor Separable Nonnegative Matrix Factorization

    Nicolas Gillis;Stephen A. Vavasis

  • The Why and How of Nonnegative Matrix Factorization.

    Nicolas Gillis

  • Accelerated multiplicative updates and hierarchical als algorithms for nonnegative matrix factorization

    Nicolas Gillis;François Glineur

  • Two algorithms for orthogonal nonnegative matrix factorization with application to clustering

    Filippo Pompili;Nicolas Gillis;Pierre-Antoine Absil;François Glineur

  • Sparse and unique nonnegative matrix factorization through data preprocessing

    Nicolas Gillis

  • Nonnegative Matrix Factorization

    Nicolas Gillis

  • Low-Rank Matrix Approximation with Weights or Missing Data Is NP-Hard

    Nicolas Gillis;François Glineur

  • Hierarchical Clustering of Hyperspectral Images Using Rank-Two Nonnegative Matrix Factorization

    Nicolas Gillis;Da Kuang;Haesun Park

  • Robust near-separable nonnegative matrix factorization using linear optimization

    Nicolas Gillis;Robert Luce

  • A Signal Processing Perspective on Hyperspectral Unmixing

    Wing-Kin Ma;José M. Bioucas-Dias;Tsung-Han Chan;Nicolas Gillis

  • Using underapproximations for sparse nonnegative matrix factorization

    Nicolas Gillis;François Glineur

  • On the Geometric Interpretation of the Nonnegative Rank

    Nicolas Gillis;François Glineur

  • Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation

    Nicolas Gillis

  • Nonnegative matrix factorization : complexity, algorithms and applications

    Nicolas Gillis

  • Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis

    Nicolas Gillis;Robert J. Plemmons

  • Nonnegative factorization and the maximum edge biclique problem

    Nicolas Gillis;François Glineur

  • Robustness Analysis of Hottopixx, a Linear Programming Model for Factoring Nonnegative Matrices

    Nicolas Gillis

  • Introduction to Nonnegative Matrix Factorization.

    Nicolas Gillis

  • On the Complexity of Robust PCA and $ll_1$-norm Low-Rank Matrix Approximation

    Nicolas Gillis;Stephen A. Vavasis

Frequent Co-Authors

Stephen A. Vavasis
Stephen A. Vavasis University of Waterloo
Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Wing-Kin Ma
Wing-Kin Ma Chinese University of Hong Kong
Pierre-Antoine Absil
Pierre-Antoine Absil Université Catholique de Louvain
Nicolas Dobigeon
Nicolas Dobigeon National Polytechnic Institute of Toulouse
Paul D. Gader
Paul D. Gader University of Florida
Jose M. Bioucas-Dias
Jose M. Bioucas-Dias Instituto Superior Técnico
Haesun Park
Haesun Park Georgia Institute of Technology
Antonio Plaza
Antonio Plaza University of Extremadura

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