48 citations · 119 across the 16 of their papers we have counts for
16 papers
Block Majorization Minimization with Extrapolation and Application to -NMF
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. The extrapolation parameters of BMMe are up…
Deep Nonnegative Matrix Factorization with Beta Divergences
Valentin Leplat, Le Thi Khanh Hien, Akwum Onwunta +1
Deep Nonnegative Matrix Factorization (deep NMF) has recently emerged as a valuable technique for extracting multiple layers of features across different scales. However, all exist…
Anomaly detection with semi-supervised classification based on risk estimators
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. To o…
An inertial ADMM for a class of nonconvex composite optimization with nonlinear coupling constraints
Le Thi Khanh Hien, Dimitri Papadimitriou
In this paper, we propose an inertial alternating direction method of multipliers for solving a class of non-convex multi-block optimization problems with \emph{nonlinear coupling…
Multiblock ADMM for nonsmooth nonconvex optimization with nonlinear coupling constraints
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 cons…
Block Alternating Bregman Majorization Minimization with Extrapolation
Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis +2
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…
A Framework of Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization
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 comp…
An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization
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. To the best of our knowledge, TITAN i…
Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence
Le Thi Khanh Hien, Nicolas Gillis
Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data…
A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems with application to symmetric nonnegative matrix tri-factorization
Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis +1
We propose BIBPA, a block inertial Bregman proximal algorithm for minimizing the sum of a block relatively smooth function (that is, relatively smooth concerning each block) and bl…
Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization
Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis +1
We introduce and analyze BPALM and A-BPALM, two multi-block proximal alternating linearized minimization algorithms using Bregman distances for solving structured nonconvex problem…
Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization
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. Our methods possess three main advantages compar…
Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization
Nicolas Gillis, Le Thi Khanh Hien, Valentin Leplat +1
Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function th…
A global linear and local superlinear/quadratic inexact non-interior continuation method for variational inequalities
Le Thi Khanh Hien, Chek Beng Chua
We use the concept of barrier-based smoothing approximations introduced in [ C. B. Chua and Z. Li, A barrier-based smoothing proximal point algorithm for NCPs over closed convex co…
An Inexact Primal-Dual Smoothing Framework for Large-Scale Non-Bilinear Saddle Point Problems
Le Thi Khanh Hien, Renbo Zhao, William B. Haskell
We develop an inexact primal-dual first-order smoothing framework to solve a class of non-bilinear saddle point problems with primal strong convexity. Compared with existing method…
Accelerated Randomized Mirror Descent Algorithms For Composite Non-strongly Convex Optimization
Le Thi Khanh Hien, Cuong V. Nguyen, Huan Xu +2
We consider the problem of minimizing the sum of an average function of a large number of smooth convex components and a general, possibly non-differentiable, convex function. Alth…