PREPRINTS

J. Pan, and V. Leplat, and M. Ng and N. Gillis, "A Provably-correct Convex Model for Smooth Separable NMF", 2025. [to appear soon]

V. Leplat, "The Geometry of Constrained Optimization: Constrained Gradient Flows via Reparameterization: A-Stable Implicit Schemes, KKT from Stationarity, and Geometry-Respecting Algorithms", 2025. [arXiv]

V. Leplat, and S. Mayorga, and Roland Hildebrand and Alexander Gasnikov, "Norm-Constrained Flows and Sign-Based Optimization: Theory and Algorithms", 2025. [arXiv]

V. Leplat, and S. Ahmadi-Asl, and Junjun Pan and Ning Zheng, "Iterative Methods for Computing the Moore--Penrose Pseudoinverse of Quaternion Matrices, with Applications", 2025. [arXiv]

A. Jha, Anh Huy Phan, R. Dibo and V. Leplat. "GRAFT: Gradient-Aware Fast MaxVol Technique for Dynamic Data Sampling", 2025. [arXiv]

S. Ahmadi-Asl, Malihe Nobakht Kooshkghazi, and V. Leplat. "Pass-efficient Randomized Algorithms for Low-rank Approximation of Quaternion Matrices ", 2025. [arXiv]

V. Leplat, A. Sozykina, I. Vorona, S. Ahmadi-Asl, and Anh Huy Phan. "Two Factors Update Algorithms for Tensor Decompositions ", 2024. [on request]

C. Prevost and V. Leplat. "Data fusion and unmixing with the regularized nonnegative block-term decomposition: joint problems, blind approach and automatic model order selection", 2023. [hal]

S. Ahmadi-Asl, V. Leplat, Anh Huy Phan and A. Cichocki. "A New Tensor Network: Tubal Tensor Train Network and Its Applications ", 2023. [openreview]

JOURNAL PAPERS

V.N. Smirnov, K.M. Kazistova, I.A. Sudakov, V. Leplat, A. Gasnikov and A. Lobanov. "Ruppert-Polyak averaging for Stochastic Order Oracle", Russian Journal of Nonlinear Dynamics, 2024, vol. 20, no. 5, pp. 961-978. [doi] [arXiv]

J. E. Cohen and V. Leplat. "Efficient Algorithms for Regularized Nonnegative Scale-invariant Low-rank Approximation Models ". SIAM Journal on Mathematics of Data science  7 (2), 468-494. 2025 [doi] [arXiv] 

L.-T.-K. Hien, V. Leplat and N. Gillis. "Block Majorization Minimization with Extrapolation and Application to β-NMF ". SIAM Journal on Mathematics of Data science 7 (3), 1292-1314. 2025  [doi] [arXiv]

S. Ahmadi-Asl, V. Leplat, Anh Huy Phan and A. Cichocki. "Nonnegative Tensor Decomposition Via Collaborative Neurodynamic Optimization ", SIAM Journal on Scientific Computing 47 (1), C100-C125, 2025. [doi] [arXiv]

H. Daglayan, S. Vary, O. Absil, N. Gillis, L. Jacques, V. Leplat and P.-A. Absil. "An Alternating Minimization Algorithm with Trajectory for Direct Exoplanet Detection ", Astronomy and Astrophysics (A&A), 2024. [doi] [arXiv] 

V. Leplat, L.-T.-K. Hien, N. Gillis and A. Onwunta. "Deep Nonnegative Matrix Factorization with Beta Divergences". Neural Computation 1-38, 2024. [doi][arXiv]

V. Leplat, Y.Nesterov, N. Gillis and F. Glineur, "Conic-Optimization based Algorithms for Nonnegative Matrix Factorization", Optimization methods and Softwares, 2022. [doi] [arXiv] 

V. Leplat, N. Gillis and J. Idier, "Multiplicative Updates for NMF with β-Divergences under Disjoint Equality Constraints", SIAM Journal on Matrix Analysis and Applications 42.2 (2021), pp. 730-752.  [doi] [arXiv] [Matlab]

N. Gillis, L. T. K. Hien, V. Leplat and V. Y. F. Tan, "Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization", IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021 [doi] [arXiv] [Matlab]

V. Leplat, N. Gillis and C. Févotte, "Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing", Signal Processing, 2021. [arXiv] [doi] [Matlab]

V. Leplat, N. Gillis and A.M.S. Ang, "Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF", IEEE Transactions on Signal Processing 68, pp. 3400-3410, 2020. [doi] [arXiv] [Matlab] [Youtube - Decomposition of El Doudou song]

CONFERENCE PAPERS

A. Sozykina, V. Leplat, I. Vorona, S. Ahmadi-Asl, and Anh Huy Phan. "Two Factors Update for Canonical Polyadic Decomposition ", in ICOMP 2024 conference. [openreview]

V. Leplat,  D. Merkulov, K. Katrutsa, D. Bershatsky, O. Tsymboi and I. Oseledets, "NAG-GS: semi-implicit, Accelerated and Robust Stochastic Optimizers", in ICOMP 2024 conference.  [arXiv]

C. Prevost and V. Leplat. "Minimum-Volume Non-Negative Block-Term Decomposition: Blind Data Fusion and Unmixing with Estimation of the Number of Endmembers.", accepted in 32nd European Signal Processing Conference (EUSIPCO), Lyon, France, 2024.

H. Daglayan, S. Vary, V. Leplat, N. Gillis and P.-A. Absil, "Direct Exoplanet Detection using L-1 Norm Low-rank Approximation". BNAIC/BeNeLearn 2023, Delft, Netherlands. [arXiv]

C. Prevost and V. Leplat, "Super-résolution hyperspectrale et démélange conjoints: approche tensorielle sous contraintes de positivité et semi-aveugle basée sur la beta-divergence ", GRETSI 2023, Grenoble, France. [gretsi] [hal]

V. Leplat, Anh Huy Phan and A.M.S. Ang, "Inexact Higher-order proximal algorithms for tensor factorization", IEEE SSP 2023, Hanoi, Vietnam. [doi]

C. Prevost and V. Leplat, "Nonnegative Block Term Decomposition with the beta-divergence for data fusion and blind spectral unmixing", ICASSP 2023, Rhodes Island, Greece. [doi], Long format available here: [hal] 

A. Marmoret, F. Voorwinden, V. Leplat,  J. E. Cohen and F. Bimbot, "Nonnegative Tucker Decomposition with Beta-divergence for Music Structure Analysis of audio signals", GRETSI 2022, Sep. 06-09, Nancy, France.  [arXiv] [gretsi]

A.M.S. Ang, V. Leplat and N. Gillis, "Fast algorithm for complex-NMF with application to source separation", 2021 29th European Signal Processing Conference (EUSIPCO), 2021, pp. 2084-2088. [doi] [Matlab]

V. Leplat, A.M.S. Ang, N. Gillis, "Minimum-Volume Rank-Deficient Nonnegative Matrix Factorizations", ICASSP 2019, May 12-17, 2019, Brighton, UK. [doi] [pdf] [Matlab]

V. Leplat, N. Gillis, X. Siebert, A.M.S. Ang, "Séparation aveugle de sources sonores par factorization en matrices positives avec pénalité sur le volume du dictionnaire", GRETSI 2019, Aug. 26-29, 2019, Lille, France. [gretsi]

PROCEEDINGS

V. Leplat, N. Gillis, X. Siebert, "Audio Source Separation Using Nonnegative Matrix Factorization", in Proc. Orbel 32, Liege, Belgium.

V. Leplat, N. Gillis and C. Févotte, "Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing", in Proc. Asilomar Conference on Signals, Systems, and Computers, 2021.

National scientific journal (Belgium)

V. Leplat, M. Jeunechamps and L. Fitschy, "Etude numerique d'echangeurs de chaleur surfaciques a ailettes pour un turboréacteur", Revue Scientifique des Ingenieurs Industriels n 27, 2013. [pdf]

THESIS

V. Leplat, "Nonnegative Matrix Factorization - Models, Optimization Problems, Algorithms and Applications", PhD thesis, Université de Mons, Décembre 2020. [pdf] [slides_publicdefense] Supervisor: Nicolas Gillis, co-supervisor: Xavier Siebert

V. Leplat, "Séparation de sources sonores par factorisation en matrices positives", MSc thesis, September 2017. [pdf]

V. Leplat, "Etude numérique d'échangeurs de chaleur surfaciques à ailettes pour un turboréacteur", MSc thesis, June 2012. [pdf]