3 papers
math.OC2026
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
Computing Binary Integer Programming via A New Exact Penalty Function
Shuai Li, Shenglong Zhou
Unconstrained binary integer programming (UBIP) poses significant computational challenges due to its discrete nature. We introduce a novel reformulation approach using a piecewise…
math.OC2025
Sparse Quadratically Constrained Quadratic Programming via Semismooth Newton Method
Shuai Li, Shenglong Zhou, Ziyan Luo
Quadratically constrained quadratic programming (QCQP) has long been recognized as a computationally challenging problem, particularly in large-scale or high-dimensional settings w…