Mitigating spectral bias for the multiscale operator learning

Mitigating spectral bias for the multiscale operator learning

19 October 2022

Papers citing "Mitigating spectral bias for the multiscale operator learning"

16 / 16 papers shown

Title
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets Keke Wu Xiongbin Yan Shi Jin Zheng Ma 53 6 0 28 Jun 2023
Transformer Meets Boundary Value Inverse Problems Ruchi Guo Shuhao Cao Long Chen MedIm 58 22 0 29 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 81 89 0 08 Sep 2022
NOMAD: Nonlinear Manifold Decoders for Operator Learning Jacob H. Seidman Georgios Kissas P. Perdikaris George J. Pappas AI4CE 59 73 0 07 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 85 159 0 26 May 2022
Learning Operators with Coupled Attention Georgios Kissas Jacob H. Seidman Leonardo Ferreira Guilhoto V. Preciado George J. Pappas P. Perdikaris 63 113 0 04 Jan 2022
Nested Hierarchical Transformer: Towards Accurate, Data-Efficient and Interpretable Visual Understanding Zizhao Zhang Han Zhang Long Zhao Ting Chen Sercan O. Arik Tomas Pfister ViT 50 173 0 26 May 2021
Solving and Learning Nonlinear PDEs with Gaussian Processes Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 60 156 0 24 Mar 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 480 2,397 0 18 Oct 2020
Transformers for Modeling Physical Systems N. Geneva N. Zabaras AI4CE 39 143 0 04 Oct 2020
Rethinking Attention with Performers K. Choromanski Valerii Likhosherstov David Dohan Xingyou Song Andreea Gane ... Afroz Mohiuddin Lukasz Kaiser David Belanger Lucy J. Colwell Adrian Weller 169 1,577 0 30 Sep 2020
Linformer: Self-Attention with Linear Complexity Sinong Wang Belinda Z. Li Madian Khabsa Han Fang Hao Ma 191 1,700 0 08 Jun 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 220 2,119 0 08 Oct 2019
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks Zhi-Qin John Xu Yaoyu Zhang Yaoyu Zhang Yan Xiao Zheng Ma 121 513 0 19 Jan 2019
Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification Yinhao Zhu N. Zabaras UQCV BDL 94 642 0 21 Jan 2018
Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games H. Owhadi 53 169 0 11 Mar 2015