2 papers
stat.ML2026
Preconditioned One-Step Generative Modeling for Bayesian Inverse Problems in Function Spaces
Zilan Cheng, Li-Lian Wang, Zhongjian Wang
We propose a machine-learning algorithm for Bayesian inverse problems in the function-space regime. Based on one-step generative transport, the method learns an amortized neural op…
math.NA2025
PODNO: Proper Orthogonal Decomposition Neural Operators
Zilan Cheng, Zhongjian Wang, Li-Lian Wang +1
In this paper, we introduce Proper Orthogonal Decomposition Neural Operators (PODNO) for solving partial differential equations (PDEs) dominated by high-frequency components. Build…