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Nicolas Gillis

Nicolas Gillis

Nicolas Gillis publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Nicolas Gillis sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

The last bar groups every scientist with 537 publications or more.

Nicolas Gillis D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Nicolas Gillis sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

The last bar groups every scientist with 86 D-Index or more.

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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