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Pre-print

Extrapolated Alternating Algorithms for Approximate Canonical Polyadic Decomposition

[Conference preprint] [MATLAB : available after paper acceptance]

Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF

What : journal version of C7 with theorem on identifiability [Preprint under review] [MATLAB]

Journal Papers

J3. Algorithms and Comparisons of Non-negative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing

What : journal version of C4, with assymetric non-separability and nuclear norm regularisation
Take away : logdet-volume regularisation is generally better than the det-volume regularisation
[IEEE JSTARS] [arXiv] [MATLAB]

J2. Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation

What : solve NMF using extrapolation – update \(W^* = W_n + \beta(W_n - W)\) where \(W_n\) and \(W\) are the previous two iterates and \(\beta \in [0,1]\) (similarly for \(H\)).
Take away : current fastest deterministic computation of NMF
[DOI], [arXiv], [MATLAB], [Slide], [Old slide 1], [Old slide 2, for IMSP2018]
An example by running the MATLAB code (link above) for 10seconds. (for the figure below, right click “open image in new tab”)

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Conference papers

C7. Séparation aveugle de sources sonores par factorization en matrices positives avec pénalité sur le volume du dictionnaire

What : blind audio source separation via logdet-volume regularized \(\beta\)-NMF [GRETSI2019 conference preprint IN FRENCH]

C6. Accelerating Nonnegative Tensor Factorization Algorithms using Extrapolation

What : extension of J2 to tensor [GRETSI2019 conference preprint] [HAL archive] [MATLAB]

C5. Minimum-Volume Rank-deficient Non-negative Matrix Factorizations

What : empirical findings that volume regularised NMF also works for rank deficient case, first study on relaxing the full rank assumption on factor matrix in minimum volume NMF [IEEE ICASSP 2019 conference preprint][MATLAB]

C4. Volume regularized Non-negative Matrix Factorisations

What : an iteratively reweighed least square formulation for minimising log-determinant regularized NMF
[IEEE WHISPERS 2018 conference preprint], [Short slide], [Full slide(2018-May-18)],

Given the black dots, find the red dots. 

Other stuffs : presentations / posters

2017.08.28 Log-determinant constrained Non-negative Matrix Factorization
[Poster presentation in Autumn School : Optimization in Machine Learning and Data Science, in Trier University, Trier, Germany]
My second presentation, got some advices from Stephen Wright during the autumn school.

2017.05.19 A Low-rank regularized Non-negative Matrix Factorization Model
[A short presentation in front of Stephen Boyd, Yurri Nesterov and Francois Glineur in UCL, Belgium]
My first presentation after I started my PhD in Belgium since 2017-Feb. I have to admit, the meeting was super exciting.

Old works before 2017.02

C3. Leveraging videos and forums for small-class learning experience in a MOOC environment [link]

C2. A Non-negative Tensor Factorization Approach to Feature Extraction for Image Analysis [link]

C1. A User-friendly Wearable Single-channel EOG-based Human-Computer Interface for Cursor Control [link]

J1. Efficient Implementation and Design of A New Single-Channel Electrooculography-based Human-Machine Interface System [link]

See “Old things”.
In short : applied researches focusing on biomedical signal processing.

Work in progress

  • Accelerating Block Coordinate Descent algorithms for Non-negative Canonical Polyadic Decomposition

  • Fast majorization minimisation for non-negative tensor completion based on log-determinant of covariance matrix

  • Electrical Load Profiling via \(L_0\)-norm constrained NMF by fast iPALM

  • On stochastic algorithms for non-negative matrix factorizations

  • On Nonlinear multi-step optimisation methods for non-negative matrix factorizations

  • Phase transition boundary of minimum volume matrix factorisation problem : the rank-deficient cases and the asymmetric non-separable cases
    What : The theoretical paper on proving the phase transition boundary between solvable and unsolvable problems in convex hull fitting problems of volume regularised NMF under rank deficient cases and asymmetric non-separable cases (long project)