97 citations · 225 across the 33 of their papers we have counts for
4 papers · 1 filter
A Globally Convergent Proximal Newton-Type Method in Nonsmooth Convex Optimization
Boris S. Mordukhovich, Xiaoming Yuan, Shangzhi Zeng +1
The paper proposes and justifies a new algorithm of the proximal Newton type to solve a broad class of nonsmooth composite convex optimization problems without strong convexity ass…
A Generic First-Order Algorithmic Framework for Bi-Level Programming Beyond Lower-Level Singleton
Risheng Liu, Pan Mu, Xiaoming Yuan +2
In recent years, a variety of gradient-based first-order methods have been developed to solve bi-level optimization problems for learning applications. However, theoretical guarant…
The flare Package for High Dimensional Linear Regression and Precision Matrix Estimation in R
Xingguo Li, Tuo Zhao, Xiaoming Yuan +1
This paper describes an R package named flare, which implements a family of new high dimensional regression methods (LAD Lasso, SQRT Lasso, Lasso, and Dantzig selector) an…
Implementation of the ADMM to Parabolic Optimal Control Problems with Control Constraints and Beyond
Yongcun Song, Xiaoming Yuan, Hangrui Yue
Parabolic optimal control problems with control constraints are generally challenging, from either theoretical analysis or algorithmic design perspectives. Conceptually, the well-k…