An iterative method based on ADMM for solving generalized Sylvester matrix equations
SG Shafiei, M Hajarian - Journal of the Franklin Institute, 2022 - Elsevier
As is well known, the alternating direction method of multipliers (ADMM) is one of the most
famous distributed algorithms for solving the convex optimization problems. In this paper, by …
famous distributed algorithms for solving the convex optimization problems. In this paper, by …
Zero-one composite optimization: Lyapunov exact penalty and a globally convergent inexact augmented Lagrangian method
P Zhang, N Xiu, Z Luo - Mathematics of Operations …, 2023 - pubsonline.informs.org
We consider the problem of minimizing the sum of a smooth function and a composition of a
zero-one loss function with a linear operator, namely the zero-one composite optimization …
zero-one loss function with a linear operator, namely the zero-one composite optimization …
A nonlinear kernel SVM classifier via L0/1 soft-margin loss with classification performance
Recent advance in linear support vector machine with the 0-1 soft-margin loss (L 0/1-SVM)
shows the ability to solve the 0-1 loss problem directly. However, its theoretical and …
shows the ability to solve the 0-1 loss problem directly. However, its theoretical and …
Underwater sonar image denoising through nonconvex total variation regularization and generalized Kullback–Leibler fidelity
W Tian, Z Chen, J Shen, F Huang, L Xu - Journal of Ambient Intelligence …, 2022 - Springer
With the exploration and development of marine resources, sonar imaging technology is
gaining increasing attention. Multiplicative speckle noise is often widely distributed in sonar …
gaining increasing attention. Multiplicative speckle noise is often widely distributed in sonar …
On regularized sparse logistic regression
M Zhang, K Liu - 2023 IEEE International Conference on Data …, 2023 - ieeexplore.ieee.org
Sparse logistic regression is for classification and feature selection simultaneously. Although
many studies have been done to solve 1-regularized logistic regression, there is no …
many studies have been done to solve 1-regularized logistic regression, there is no …
Splitting augmented Lagrangian-type algorithms with partial quadratic approximation to solve sparse signal recovery problems
J Jian, Q Huang, J Yin, W Zhang - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, we focus on the two-block nonconvex and nonsmooth optimization with linear
constraints, where the objective function is the sum of a convex but nonsmooth function and …
constraints, where the objective function is the sum of a convex but nonsmooth function and …
A partial Bregman ADMM with a general relaxation factor for structured nonconvex and nonsmooth optimization
J Yin, C Tang, J Jian, Q Huang - Journal of Global Optimization, 2024 - Springer
In this paper, a partial Bregman alternating direction method of multipliers (ADMM) with a
general relaxation factor α∈(0, 1+ 5 2) is proposed for structured nonconvex and …
general relaxation factor α∈(0, 1+ 5 2) is proposed for structured nonconvex and …
An Adaptive Proximal ADMM for Nonconvex Linearly-Constrained Composite Programs
This paper develops an adaptive Proximal Alternating Direction Method of Multipliers (P-
ADMM) for solving linearly-constrained, weakly convex, composite optimization problems …
ADMM) for solving linearly-constrained, weakly convex, composite optimization problems …
Nonlinear Kernel Support Vector Machine with 0-1 Soft Margin Loss
Recent advance on linear support vector machine with the 0-1 soft margin loss ($ L_ {0/1} $-
SVM) shows that the 0-1 loss problem can be solved directly. However, its theoretical and …
SVM) shows that the 0-1 loss problem can be solved directly. However, its theoretical and …
Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming
W Kong, RDC Monteiro - SIAM Journal on Optimization, 2024 - SIAM
This paper proposes and analyzes a dampened proximal alternating direction method of
multipliers (DP. ADMM) for solving linearly constrained nonconvex optimization problems …
multipliers (DP. ADMM) for solving linearly constrained nonconvex optimization problems …