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Deciphering and integrating invariants for neural operator learning with various physical mechanisms

24 November 2023

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Papers citing "Deciphering and integrating invariants for neural operator learning with various physical mechanisms"

26 / 26 papers shown

Title
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork Jae Yong Lee S. Cho H. Hwang 67 24 0 26 Dec 2023
NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal Decomposition Xinquan Huang Wenlei Shi Qi Meng Yue Wang Xiaotian Gao Jia Zhang Tie-Yan Liu AI4CE 63 9 0 20 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 197 6 0 10 Feb 2023
Neural Inverse Operators for Solving PDE Inverse Problems Roberto Molinaro Yunan Yang Bjorn Engquist Siddhartha Mishra AI4CE 72 41 0 26 Jan 2023
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 78 237 0 13 Oct 2022
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations Rui Zhang Tailin Wu Qi Meng Yue Wang Rongchan Zhu Bingguang Chen Zhi-Ming Ma Tie-Yan Liu 64 15 0 20 Jun 2022
NOMAD: Nonlinear Manifold Decoders for Operator Learning Jacob H. Seidman Georgios Kissas P. Perdikaris George J. Pappas AI4CE 91 77 0 07 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 111 171 0 26 May 2022
SCVRL: Shuffled Contrastive Video Representation Learning Michael Dorkenwald Fanyi Xiao Biagio Brattoli Joseph Tighe Davide Modolo SSL 82 17 0 24 May 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 117 39 0 27 Apr 2022
U-NO: U-shaped Neural Operators Md Ashiqur Rahman Zachary E. Ross Kamyar Azizzadenesheli AI4CE 114 145 0 23 Apr 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 102 288 0 07 Feb 2022
Factorized Fourier Neural Operators Alasdair Tran A. Mathews Lexing Xie Cheng Soon Ong AI4CE 79 163 0 27 Nov 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 198 220 0 28 Sep 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 69 254 0 31 May 2021
VideoMoCo: Contrastive Video Representation Learning with Temporally Adversarial Examples Tian Pan Yibing Song Tianyu Yang Wenhao Jiang Wei Liu 93 225 0 10 Mar 2021
Meta-Learning Dynamics Forecasting Using Task Inference Rui Wang Robin Walters Rose Yu OOD AI4TS AI4CE 106 35 0 20 Feb 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 509 2,453 0 18 Oct 2020
Spatiotemporal Contrastive Video Representation Learning Rui Qian Tianjian Meng Boqing Gong Ming-Hsuan Yang Haoran Wang Serge J. Belongie Huayu Chen SSL AI4TS 128 501 0 09 Aug 2020
Physics-informed learning of governing equations from scarce data Zhao Chen Yang Liu Hao Sun PINN AI4CE 88 397 0 05 May 2020
A Simple Framework for Contrastive Learning of Visual Representations Ting-Li Chen Simon Kornblith Mohammad Norouzi Geoffrey E. Hinton SSL 390 18,897 0 13 Feb 2020
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs S. Fresca Luca Dede' Andrea Manzoni AI4CE 87 266 0 12 Jan 2020
Dynamic Convolution: Attention over Convolution Kernels Yinpeng Chen Xiyang Dai Mengchen Liu Dongdong Chen Lu Yuan Zicheng Liu 109 895 0 07 Dec 2019
PyTorch: An Imperative Style, High-Performance Deep Learning Library Adam Paszke Sam Gross Francisco Massa Adam Lerer James Bradbury ... Sasank Chilamkurthy Benoit Steiner Lu Fang Junjie Bai Soumith Chintala ODL 565 42,639 0 03 Dec 2019
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,158 0 08 Oct 2019
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 1.9K 77,441 0 18 May 2015