3 papers
cs.LG2026
U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics
Yingzhe Ma, Xiao Yang, Yuxin Xie +2
Solutions to many partial differential equations (PDEs) display coexisting smooth global transport and localized sharp features within a single trajectory: shock fronts, thin inter…
cs.LG2026
Neural Statistical Functions
Daniel Xu, Yuxin Xie, Minghao Guo +2
Classical deep learning typically operates on individual cases. Despite its success, real-world usage often requires repeated inference to estimate statistical quantities for compl…
cs.LG2026
Hierarchical Multi-Fidelity Learning for Predicting Three-Dimensional Flame Wrinkling and Turbulent Burning Velocity
Saghar Zolfaghari, Yu Xie, Junfeng Yang +1
High-fidelity experimental characterization of turbulent premixed flames remains limited by the cost and complexity of advanced diagnostics, particularly under elevated pressures a…