4 papers
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…
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…
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…
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…