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"

17 / 17 papers shown

Title
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs Minsu Koh Beom-Chul Park Heejo Kong Seong-Whan Lee AI4CE 35 0 0 18 Apr 2025
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems Siavash Khodakarami Vivek Oommen Aniruddha Bora George Karniadakis AI4CE 60 0 0 17 Mar 2025
Learn Sharp Interface Solution by Homotopy Dynamics Chuqi Chen Yahong Yang Yang Xiang Wenrui Hao ODL 57 1 0 01 Feb 2025
An Efficient Hierarchical Preconditioner-Learner Architecture for Reconstructing Multi-scale Basis Functions of High-dimensional Subsurface Fluid Flow Peiqi Li Jie Chen AI4CE 21 0 0 01 Nov 2024
Tuning Frequency Bias of State Space Models Annan Yu Dongwei Lyu S. H. Lim Michael W. Mahoney N. Benjamin Erichson 38 2 0 02 Oct 2024
$M$^{2}$M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need$ M $^{2}$ M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need Aoming Liang Zhaoyang Mu Pengxiao Lin Cong Wang Mingming Ge Ling Shao Dixia Fan Hao Tang AI4CE 26 0 0 01 Oct 2024
Dilated convolution neural operator for multiscale partial differential equations Bo Xu Xinliang Liu Lei Zhang AI4CE 16 3 0 16 Jul 2024
A MgNO Method for Multiphase Flow in Porous Media Xinliang Liu Xia Yang Chen-Song Zhang Lian Zhang Li Zhao AI4CE 24 0 0 16 Jun 2024
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity Benjamin Shih Ahmad Peyvan Zhongqiang Zhang George Karniadakis AI4CE 33 10 0 29 May 2024
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations Wenrui Hao Xinliang Liu Yahong Yang 20 4 0 23 May 2024
CaFA: Global Weather Forecasting with Factorized Attention on Sphere Zijie Li Anthony Y. Zhou Saurabh Patil A. Farimani 24 6 0 12 May 2024
Deep Equilibrium Based Neural Operators for Steady-State PDEs Tanya Marwah Ashwini Pokle J. Zico Kolter Zachary Chase Lipton Jianfeng Lu Andrej Risteski 20 8 0 30 Nov 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 16 63 0 27 May 2023
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 60 79 0 08 Sep 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 124 200 0 28 Sep 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 131 437 0 18 Dec 2020
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 203 2,272 0 18 Oct 2020