2 papers
math.NA2026
Proposal-Guided Greedy Surrogate Refinement for PDE-Driven High-Dimensional Rare-Event Estimation
Zhiwei Gao, George Karniadakis
Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate…
math.NA2023
Adaptive operator learning for infinite-dimensional Bayesian inverse problems
Zhiwei Gao, Liang Yan, Tao Zhou
The fundamental computational issues in Bayesian inverse problems (BIP) governed by partial differential equations (PDEs) stem from the requirement of repeated forward model evalua…