activity
20102026
most citedNonmonotone Barzilai-Borwein Gradient Algorithm for -Regularized Nonsmooth Minimization in Compressive Sensing

19 citations · 30 across the 15 of their papers we have counts for

collaborators

15 papers

math.OC2026

ADMM-based Bilevel Descent Aggregation Algorithm for Sparse Hyperparameter Selection

Yunhai Xiao, Anqi Liu, Peili Li +1

It is widely acknowledged that hyperparameter selection plays a critical role in the effectiveness of sparse optimization problems. The bilevel optimization provides a robust frame…

math.OC2023

An Efficient Method for Joint Delay-Doppler Estimation of Moving Targets in Passive Radar

Mengjiao Shi, Yunhai Xiao, Peili Li

Passive radar systems can detect and track the moving targets of interest by exploiting non-cooperative illuminators-of-opportunity to transmit orthogonal frequency division multip…

stat.ME2022

Robust Fused Lasso Penalized Huber Regression with Nonasymptotic Property and Implementation Studies

Xin Xin, Boyi Xie, Yunhai Xiao

For some special data in reality, such as the genetic data, adjacent genes may have the similar function. Thus ensuring the smoothness between adjacent genes is highly necessary. B…

math.OC2022

Linear Convergence Rate Analysis of Proximal Generalized ADMM for Convex Composite Programming

Han Wang, Yunhai Xiao

The proximal generalized alternating direction method of multipliers (p-GADMM) is substantially efficient for solving convex composite programming problems of high-dimensional to m…

math.OC2022

On the Linear Convergence Rate of Generalized ADMM for Convex Composite Programming

Han Wang, Peili Li, Yunhai Xiao

Over the fast few years, the numerical success of the generalized alternating direction method of multipliers (GADMM) proposed by Eckstein \& Bertsekas [Math. Prog., 1992] has insp…

math.OC2022

Convergence Analysis of Generalized ADMM with Majorization for Linearly Constrained Composite Convex Optimization

Hongwu Li, Haibin Zhang, Yunhai Xiao

The generalized alternating direction method of multipliers (ADMM) of Xiao et al. [{\tt Math. Prog. Comput., 2018}] aims at the two-block linearly constrained composite convex prog…

cs.CV2022

A Binary Characterization Method for Shape Convexity and Applications

Shousheng Luo, Jinfeng Chen, Yunhai Xiao +1

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterizatio…

math.OC2021

A Majorized-Generalized Alternating Direction Method of Multipliers for Convex Composite Programming

Congying Qin, Yunhai Xiao, Peili Li

The linearly constrained convex composite programming problems whose objective function contains two blocks with each block being the form of nonsmooth+smooth arises frequently in…

math.OC2021

Efficient Dual ADMMs for Sparse Compressive Sensing MRI Reconstruction

Yanyun Ding, Peili Li, Yunhai Xiao +1

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time…

math.OC2021

An Efficient Semismooth Newton Method for Adaptive Sparse Signal Recovery Problems

Yanyun Ding, Haibin Zhang, Peili Li +1

We know that compressive sensing can establish stable sparse recovery results from highly undersampled data under a restricted isometry property condition. In reality, however, num…

stat.ME2021

Semismooth Newton Augmented Lagrangian Algorithm for Adaptive Lasso Penalized Least Squares in Semiparametric Regression

Peili Li, Yunhai Xiao, Meixia Yang +1

This paper is concerned with a partially linear semiparametric regression model containing an unknown regression coefficient, an unknown nonparametric function, and an unobservable…

math.OC2017

Symmetric Gauss-Seidel Technique Based Alternating Direction Methods of Multipliers for Transform Invariant Low-Rank Textures Problem

Yanyun Ding, Yunhai Xiao

Transform Invariant Low-Rank Textures, referred to as TILT, can accurately and robustly extract textural or geometric information in a 3D from user-specified windows in 2D in spite…

math.OC2015★ 1 cited

A Generalized Alternating Direction Method of Multipliers with Semi-Proximal Terms for Convex Composite Conic Programming

Yunhai Xiao, Liang Chen, Donghui Li

In this paper, we propose a generalized alternating direction method of multipliers (ADMM) with semi-proximal terms for solving a class of convex composite conic optimization probl…

math.OC2012★ 19 cited

Nonmonotone Barzilai-Borwein Gradient Algorithm for -Regularized Nonsmooth Minimization in Compressive Sensing

Yunhai Xiao, Soon-Yi Wu, Liqun Qi

This paper is devoted to minimizing the sum of a smooth function and a nonsmooth -regularized term. This problem as a special cases includes the -regularized convex…

math.OC2010★ 10 cited

A Fast Algorithm for Total Variation Image Reconstruction from Random Projections

Yunhai Xiao, Junfeng Yang

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models co…