Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the
Approximation of PDEs

Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs

30 May 2023

Xiaoliang Wan

Papers citing "Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs"

8 / 8 papers shown

Title
Estimating Committor Functions via Deep Adaptive Sampling on Rare Transition Paths Yueyang Wang Kejun Tang Xili Wang Xiaoliang Wan Weiqing Ren Chao Yang 40 0 0 28 Jan 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi Haoran Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 43 0 0 28 Jan 2025
P $^2$ C $^2$ Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics Qi Wang Pu Ren Hao Zhou Xin-Yang Liu Z. Deng ... Zidong Wang Jian-Xun Wang Ji-Rong_Wen Hao Sun Yang Liu 58 5 0 29 Oct 2024
Deep adaptive sampling for surrogate modeling without labeled data Xili Wang Keju Tang Jiayu Zhai Xiaoliang Wan Chao Yang 35 2 0 17 Feb 2024
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Zongren Zou Xuhui Meng George Karniadakis AI4CE 41 19 0 19 Nov 2023
Consensus-based construction of high-dimensional free energy surface Liyao Lyu Huan Lei 20 0 0 08 Nov 2023
Correcting model misspecification in physics-informed neural networks (PINNs) Zongren Zou Xuhui Meng George Karniadakis PINN 29 41 0 16 Oct 2023
Bounded KRnet and its applications to density estimation and approximation Lisheng Zeng Xiaoliang Wan Tao Zhou 25 5 0 15 May 2023