Search Results for author: Xiaodong Feng

Found 4 papers, 0 papers with code

MC-Nonlocal-PINNs: handling nonlocal operators in PINNs via Monte Carlo sampling

no code implementations26 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.

Gradient-enhanced deep neural network approximations

no code implementations8 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.

Uncertainty Quantification

Solving time dependent Fokker-Planck equations via temporal normalizing flow

no code implementations28 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.

Robust Sparse Coding via Self-Paced Learning

no code implementations10 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.

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