4 papers
Exact-Penalty Prox-Linear Methods for Bilevel Optimization with Lower-Level Gradient Penalty
Yutong Zheng, Jiani Li, Qingna Li
Bilevel optimization is a fundamental framework for hierarchical decision-making, but its solution is challenging due to the implicit and typically set-valued nature of the lower-l…
An Efficient Quadratic Penalty Method for a Class of Graph Clustering Problems
Wenshun Teng, Qingna Li
Community-based graph clustering is one of the most popular topics in the analysis of complex social networks. This type of clustering involves grouping vertices that are considere…
A Spectral Projected Gradient Method for Computational Protein Design problem
Yukai Zheng, Qingna Li
In this paper, we consider the computational protein design (CPD) problem, which is usually modeled as 0/1 programming and is extremely challenging due to its combinatorial propert…
A Matrix Optimization Method for Blind Extraction of External Equitable Partitions from Low Pass Graph Signals
Wenshun Teng, Qingna Li
Seeking the external equitable partitions (EEPs) of networks under unknown structures is an emerging problem in network analysis. The special structure of EEPs has found widespread…