2 papers
math.NA2026
Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures
Jiajia Yu, Jingwei Hu, Fengyan Li +3
Parametrized PDEs with density-valued solutions are often difficult to approximate with classical linear reduced-order models, especially in transport-dominated regimes. We introdu…
math.OC2025
Zeroth-order Stochastic Cubic Newton Method Revisited
Yu Liu, Weibin Peng, Tianyu Wang +1
This paper studies stochastic minimization of a finite-sum loss . In many real-world scenarios, the Hessian matrix of…