23 citations · 49 across the 11 of their papers we have counts for
8 papers · 1 filter
Solution uniqueness of convex optimization problems via the radial cone
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we mainly study solution uniqueness of some convex optimization problems. Our characterizations of solution uniqueness are in terms of the radial cone. This approach…
Geometric characterizations for strong minima with applications to nuclear norm minimization problems
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we introduce several geometric characterizations for strong minima of optimization problems. Applying these results to nuclear norm minimization problems allows us t…
Stochastic Variance-Reduced Majorization-Minimization Algorithms
Duy-Nhat Phan, Sedi Bartz, Nilabja Guha +1
We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable func…
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…
DCA based Algorithm with Extrapolation for Nonconvex Nonsmooth Optimization
Duy Nhat Phan, Hoai An Le Thi
In this paper, we focus on the problem of minimizing the sum of a nonconvex differentiable function and a DC (Difference of Convex functions) function, where the differentiable fun…
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…
A DCA-Like Algorithm and its Accelerated Version with Application in Data Visualization
Hoai An Le Thi, Hoai Minh Le, Duy Nhat Phan +1
In this paper, we present two variants of DCA (Different of Convex functions Algorithm) to solve the constrained sum of differentiable function and composite functions minimization…