3 papers
cs.CE2026
A Dual Physics-Informed Kolmogorov-Arnold Neural Network Framework for Continuum Topology Optimization
Junyuan Zhang, Jing Cao, Abdullah Dawar +2
In continuum topology optimization (TO), two essential procedures are involved: structural analysis through the solution of partial differential equations (PDEs) and the subsequent…
math.OC2026
Clipped Stochastic Gradient Tracking For Locally Smooth Functions
Leilei Mei, Junyu Zhang
Most stochastic gradient tracking (GT) methods adopt pre-scheduled stepsize rules, while a few recent works studied adaptive stepsizes that attempt to respond to the problem's loca…
math.OC2025
Complexity Analysis of Convex Majorization Schemes for Nonconvex Constrained Optimization
Nuozhou Wang, Junyu Zhang, Shuzhong Zhang
In this paper, we introduce and study various algorithms for solving nonconvex minimization with inequality constraints, based on the construction of convex surrogate envelopes tha…