no code implementations • 26 Dec 2022 • Xiaodong Feng, Yue Qian, Wanfang Shen
We propose, Monte Carlo Nonlocal physics-informed neural networks (MC-Nonlocal-PINNs), which is a generalization of MC-fPINNs in \cite{guo2022monte}, for solving general nonlocal models such as integral equations and nonlocal PDEs.
no code implementations • 8 Nov 2022 • Xiaodong Feng, Li Zeng
We propose in this work the gradient-enhanced deep neural networks (DNNs) approach for function approximations and uncertainty quantification.
no code implementations • 28 Dec 2021 • Xiaodong Feng, Li Zeng, Tao Zhou
In this work, we propose an adaptive learning approach based on temporal normalizing flows for solving time-dependent Fokker-Planck (TFP) equations.
no code implementations • 10 Sep 2017 • Xiaodong Feng, Zhiwei Tang, Sen Wu
Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications.