3 papers
cs.LG2025
Variational Physics-Informed Ansatz for Reconstructing Hidden Interaction Networks from Steady States
Kaiming Luo
The interaction structure of a complex dynamical system governs its collective behavior, yet existing reconstruction methods struggle with nonlinear, heterogeneous, and higher-orde…
cs.LG2025
DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations
Kai Luo, Juan Tang, Mingchao Cai +3
Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-layer Perceptrons (MLPs) due to their superior function-fitting abilities in data-driven modeling…
physics.comp-ph2024
Direct minimization on the complex Stiefel manifold in Kohn-Sham density functional theory for finite and extended systems
Kai Luo, Tingguang Wang, Xinguo Ren
Direct minimization method on the complex Stiefel manifold in Kohn-Sham density functional theory is formulated to treat both finite and extended systems in a unified manner. This…