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math.OC2026
A frugal primal-dual splitting with minimal lifting over arbitrary rooted trees
Feng Xue, Hui Zhang
We develop a frugal primal-dual splitting with minimal lifting for solving structured monotone inclusions, involving cocoercive operators, linear compositions and parallel sums. Th…
math.OC2025
Sharp-Peak Functions for Exactly Penalizing Binary Integer Programming
Shenglong Zhou, Shuai Li, Hui Zhang +1
Unconstrained binary integer programming (UBIP) is a challenging optimization problem due to the presence of binary variables. To address the challenge, we introduce a novel class…
math.OC2025
Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond
Feng Xue, Hui Zhang
We investigate the solution properties of the regularized least-squares problem. Using a subspace decomposition technique, we derive expressions for the solution set in terms of th…