1 code implementation • 12 Jan 2024 • Le Thi Khanh Hien, Valentin Leplat, Nicolas Gillis
We propose a Block Majorization Minimization method with Extrapolation (BMMe) for solving a class of multi-convex optimization problems.
2 code implementations • 15 Sep 2023 • Valentin Leplat, Le Thi Khanh Hien, Akwum Onwunta, Nicolas Gillis
Deep Nonnegative Matrix Factorization (deep NMF) has recently emerged as a valuable technique for extracting multiple layers of features across different scales.
no code implementations • 1 Sep 2023 • Le Thi Khanh Hien, Sukanya Patra, Souhaib Ben Taieb
A significant limitation of one-class classification anomaly detection methods is their reliance on the assumption that unlabeled training data only contains normal instances.
no code implementations • 19 Jan 2022 • Le Thi Khanh Hien, Dimitri Papadimitriou
This paper proposes a multiblock alternating direction method of multipliers for solving a class of multiblock nonsmooth nonconvex optimization problem with nonlinear coupling constraints.
1 code implementation • 9 Jul 2021 • Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis, Masoud Ahookhosh, Panagiotis Patrinos
In this paper, we consider a class of nonsmooth nonconvex optimization problems whose objective is the sum of a block relative smooth function and a proper and lower semicontinuous block separable function.
1 code implementation • 10 Feb 2021 • Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis
In this paper, we propose an algorithmic framework, dubbed inertial alternating direction methods of multipliers (iADMM), for solving a class of nonconvex nonsmooth multiblock composite optimization problems with linear constraints.
1 code implementation • 23 Oct 2020 • Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis
In this paper, we introduce TITAN, a novel inerTIal block majorizaTion minimizAtioN framework for non-smooth non-convex optimization problems.
1 code implementation • 5 Oct 2020 • Le Thi Khanh Hien, Nicolas Gillis
Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets.
no code implementations • 13 Jan 2020 • Andersen Man Shun Ang, Jeremy E. Cohen, Nicolas Gillis, Le Thi Khanh Hien
This paper is concerned with improving the empirical convergence speed of block-coordinate descent algorithms for approximate nonnegative tensor factorization (NTF).
1 code implementation • 4 Aug 2019 • Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos
We introduce and analyze BPALM and A-BPALM, two multi-block proximal alternating linearized minimization algorithms using Bregman distances for solving structured nonconvex problems.
Optimization and Control Numerical Analysis Numerical Analysis
no code implementations • ICML 2020 • Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos
We propose inertial versions of block coordinate descent methods for solving non-convex non-smooth composite optimization problems.
no code implementations • 30 Jan 2019 • Nicolas Gillis, Le Thi Khanh Hien, Valentin Leplat, Vincent Y. F. Tan
We propose to use Lagrange duality to judiciously optimize for a set of weights to be used within the framework of the weighted-sum approach, that is, we minimize a single objective function which is a weighted sum of the all objective functions.
no code implementations • 23 May 2016 • Le Thi Khanh Hien, Cuong V. Nguyen, Huan Xu, Can-Yi Lu, Jiashi Feng
Avoiding this devise, we propose an accelerated randomized mirror descent method for solving this problem without the strongly convex assumption.