Neural Inverse Operators for Solving PDE Inverse Problems

26 January 2023

Yunan Yang

Papers citing "Neural Inverse Operators for Solving PDE Inverse Problems"

24 / 24 papers shown

Title
Neural Operators Can Play Dynamic Stackelberg Games Guillermo Alvarez Ibrahim Ekren Anastasis Kratsios Xuwei Yang 23 0 0 14 Nov 2024
Deep Optimal Sensor Placement for Black Box Stochastic Simulations Paula Cordero-Encinar Tobias Schröder P. Yatsyshin Andrew Duncan 45 0 0 15 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 32 0 0 03 Oct 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 33 3 0 14 Aug 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 49 14 0 25 Jun 2024
Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations Ze Cheng Zhongkai Hao Xiaoqiang Wang Jianing Huang Youjia Wu Xudan Liu Yiru Zhao Songming Liu Hang Su AI4CE 16 2 0 27 May 2024
Physics-Informed Machine Learning On Polar Ice: A Survey Zesheng Liu Younghyun Koo Maryam Rahnemoonfar PINN AI4CE 21 1 0 30 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 48 1 0 27 Apr 2024
ODE-DPS: ODE-based Diffusion Posterior Sampling for Inverse Problems in Partial Differential Equation Enze Jiang Jishen Peng Zheng Ma Xiong-bin Yan 16 0 0 21 Apr 2024
Mixture of Experts Soften the Curse of Dimensionality in Operator Learning Anastasis Kratsios Takashi Furuya Jose Antonio Lara Benitez Matti Lassas Maarten V. de Hoop 26 13 0 13 Apr 2024
Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective Shaoxiang Qin Fuyuan Lyu Wenhui Peng Dingyang Geng Ju Wang Naiping Gao Xue Liu L. Wang AI4CE 19 0 0 10 Apr 2024
Heterogeneous Peridynamic Neural Operators: Discover Biotissue Constitutive Law and Microstructure From Digital Image Correlation Measurements S. Jafarzadeh Stewart Silling Lu Zhang Colton J. Ross Chung-Hao Lee S. M. R. Rahman Shuodao Wang Yue Yu 18 5 0 27 Mar 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 64 5 0 18 Feb 2024
State estimation of urban air pollution with statistical, physical, and super-learning graph models Matthieu Dolbeault Olga Mula A. Somacal 17 0 0 05 Feb 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 34 7 0 04 Jan 2024
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 21 2 0 29 Dec 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 11 7 0 24 Nov 2023
A Domain-adaptive Physics-informed Neural Network for Inverse Problems of Maxwell's Equations in Heterogeneous Media Shiyuan Piao Hong Gu Aina Wang Pan Qin PINN 11 2 0 12 Aug 2023
Deep Operator Network Approximation Rates for Lipschitz Operators Ch. Schwab A. Stein Jakob Zech 15 9 0 19 Jul 2023
Convolutional Neural Operators for robust and accurate learning of PDEs Bogdan Raonić Roberto Molinaro Tim De Ryck Tobias Rohner Francesca Bartolucci Rima Alaifari Siddhartha Mishra Emmanuel de Bezenac AAML 8 81 0 02 Feb 2023
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation Jose Antonio Lara Benitez Takashi Furuya F. Faucher Anastasis Kratsios X. Tricoche Maarten V. de Hoop 22 14 0 27 Jan 2023
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 95 21 0 11 Oct 2022
Variable-Input Deep Operator Networks Michael Prasthofer Tim De Ryck Siddhartha Mishra 37 23 0 23 May 2022
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 197 2,254 0 18 Oct 2020