Neural Operator: Learning Maps Between Function Spaces

19 August 2021

Nikola B. Kovachki

Zong-Yi Li

Burigede Liu

Kamyar Azizzadenesheli

Papers citing "Neural Operator: Learning Maps Between Function Spaces"

50 / 283 papers shown

Title
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response Ravi G. Patel C. Safta Reese E. Jones AI4CE 35 1 0 05 Apr 2024
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning Tyler Chang Andrew Gillette R. Maulik 49 2 0 04 Apr 2024
Universal Functional Regression with Neural Operator Flows Yaozhong Shi Angela F. Gao Zachary E. Ross Kamyar Azizzadenesheli 37 3 0 03 Apr 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 37 6 0 28 Mar 2024
Nonlinear model reduction for operator learning Hamidreza Eivazi Stefan H. A. Wittek Andreas Rausch 37 3 0 27 Mar 2024
Knowledge-guided Machine Learning: Current Trends and Future Prospects Anuj Karpatne X. Jia Vipin Kumar 50 10 0 24 Mar 2024
Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs Md Ashiqur Rahman Robert Joseph George Mogab Elleithy Daniel Leibovici Zong-Yi Li ... Julius Berner Raymond A. Yeh Jean Kossaifi Kamyar Azizzadenesheli A. Anandkumar AI4CE 54 20 0 19 Mar 2024
Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs S. C. Mouli Danielle C. Maddix S. Alizadeh Gaurav Gupta Andrew Stuart Michael W. Mahoney Yuyang Wang UQCV AI4CE 42 2 0 15 Mar 2024
Global 4D Ionospheric STEC Prediction based on DeepONet for GNSS Rays Dijia Cai Zenghui Shi Haiyang Fu Huan Liu Hongyi Qian Yun Sui Feng Xu Ya-Qiu Jin 19 2 0 12 Mar 2024
Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems Chu Wang Jinhong Wu Yanzhi Wang Zhijian Zha Qi Zhou AI4CE 22 0 0 05 Mar 2024
A Priori Uncertainty Quantification of Reacting Turbulence Closure Models using Bayesian Neural Networks Graham Pash M. Hassanaly S. Yellapantula AI4CE 43 0 0 28 Feb 2024
Neural Operators with Localized Integral and Differential Kernels Miguel Liu-Schiaffini Julius Berner Boris Bonev Thorsten Kurth Kamyar Azizzadenesheli A. Anandkumar 58 19 0 26 Feb 2024
PDETime: Rethinking Long-Term Multivariate Time Series Forecasting from the perspective of partial differential equations Shiyi Qi Zenglin Xu Yiduo Li Liangjiang Wen Qingsong Wen Qifan Wang Yuan Qi AI4TS AI4CE 37 0 0 25 Feb 2024
Learning Semilinear Neural Operators : A Unified Recursive Framework For Prediction And Data Assimilation Ashutosh Singh R. Borsoi Deniz Erdogmus Tales Imbiriba 47 0 0 24 Feb 2024
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 33 3 0 19 Feb 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 45 8 0 19 Feb 2024
DOF: Accelerating High-order Differential Operators with Forward Propagation Ruichen Li Chuwei Wang Haotian Ye Di He Liwei Wang AI4CE 26 2 0 15 Feb 2024
Parametric Learning of Time-Advancement Operators for Unstable Flame Evolution Rixin Yu Erdzan Hodzic AI4CE 21 4 0 14 Feb 2024
Sobolev Training for Operator Learning Namkyeong Cho Junseung Ryu Hyung Ju Hwang 11 0 0 14 Feb 2024
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids S. Cho Jae Yong Lee Hyung Ju Hwang GNN AI4CE 16 3 0 13 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 43 6 0 05 Feb 2024
Accelerating PDE Data Generation via Differential Operator Action in Solution Space Huanshuo Dong Hong Wang Haoyang Liu Jian Luo Jie Wang AI4CE 8 2 0 04 Feb 2024
LatticeGraphNet: A two-scale graph neural operator for simulating lattice structures Ayush Jain Ehsan Haghighat Sai Nelaturi AI4CE 21 4 0 01 Feb 2024
A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 31 4 0 01 Feb 2024
PICL: Physics Informed Contrastive Learning for Partial Differential Equations Cooper Lorsung A. Farimani AI4CE 33 4 0 29 Jan 2024
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations Han Huang Rongjie Lai 30 2 0 27 Jan 2024
A Multi-Grained Symmetric Differential Equation Model for Learning Protein-Ligand Binding Dynamics Shengchao Liu Weitao Du Yanjing Li Zhuoxinran Li Vignesh C. Bhethanabotla ... O. Yaghi C. Borgs A. Anandkumar Hongyu Guo J. Chayes AI4CE 32 4 0 26 Jan 2024
Equivariant Graph Neural Operator for Modeling 3D Dynamics Minkai Xu Jiaqi Han Aaron Lou Jean Kossaifi Arvind Ramanathan Kamyar Azizzadenesheli J. Leskovec Stefano Ermon A. Anandkumar AI4CE 34 16 0 19 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 34 5 0 19 Jan 2024
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling Hong Wang Zhongkai Hao Jie Wang Zijie Geng Zhen Wang Bin Li Fengli Wu 11 3 0 17 Jan 2024
Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data Jyoti Rani Tapas Tripura H. Kodamana Souvik Chakraborty 32 5 0 08 Jan 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 47 8 0 04 Jan 2024
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws Taeyoung Kim Myungjoo Kang AI4CE 25 2 0 03 Jan 2024
Multi-Lattice Sampling of Quantum Field Theories via Neural Operator-based Flows Bálint Máté Franccois Fleuret AI4CE 34 0 0 01 Jan 2024
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork Jae Yong Lee S. Cho H. Hwang 23 22 0 26 Dec 2023
Neural Born Series Operator for Biomedical Ultrasound Computed Tomography Zhijun Zeng Yihang Zheng Youjia Zheng Yubing Li Zuoqiang Shi He Sun 37 1 0 25 Dec 2023
Learned reconstruction methods for inverse problems: sample error estimates Luca Ratti 29 0 0 21 Dec 2023
Parameterized Projected Bellman Operator Th´eo Vincent Alberto Maria Metelli Boris Belousov Jan Peters Marcello Restelli Carlo DÉramo 30 3 0 20 Dec 2023
Improving the Expressive Power of Deep Neural Networks through Integral Activation Transform Zezhong Zhang Feng Bao Guannan Zhang 20 0 0 19 Dec 2023
Continual Learning: Forget-free Winning Subnetworks for Video Representations Haeyong Kang Jaehong Yoon Sung Ju Hwang Chang D. Yoo CLL 32 2 0 19 Dec 2023
Frequency Spectrum is More Effective for Multimodal Representation and Fusion: A Multimodal Spectrum Rumor Detector An Lao Qi Zhang Chongyang Shi LongBing Cao Kun Yi Liang Hu Duoqian Miao 39 20 0 18 Dec 2023
Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEs Seungjun Lee Taeil Oh 21 6 0 18 Dec 2023
Operator-learning-inspired Modeling of Neural Ordinary Differential Equations Woojin Cho Seunghyeon Cho Hyundong Jin Jinsung Jeon Kookjin Lee Sanghyun Hong Dongeun Lee Jonghyun Choi Noseong Park AI4TS AI4CE 18 2 0 16 Dec 2023
Statistical Spatially Inhomogeneous Diffusion Inference Yinuo Ren Yiping Lu Lexing Ying Grant M. Rotskoff 22 2 0 10 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 22 6 0 08 Dec 2023
Safe Reinforcement Learning in Tensor Reproducing Kernel Hilbert Space Xiaoyuan Cheng Boli Chen Liz Varga Yukun Hu 23 0 0 01 Dec 2023
DFU: scale-robust diffusion model for zero-shot super-resolution image generation Alex Havrilla Kevin Rojas Wenjing Liao Molei Tao 42 1 0 30 Nov 2023
Deep Equilibrium Based Neural Operators for Steady-State PDEs Tanya Marwah Ashwini Pokle J. Zico Kolter Zachary Chase Lipton Jianfeng Lu Andrej Risteski 28 8 0 30 Nov 2023
Equivariant Neural Operator Learning with Graphon Convolution Chaoran Cheng Jian-wei Peng 16 4 0 17 Nov 2023
Plasma Surrogate Modelling using Fourier Neural Operators Vignesh Gopakumar Stanislas Pamela L. Zanisi Zong-Yi Li Ander Gray ... Matt Kusner M. Deisenroth A. Anandkumar Jorek Team Mast Team AI4CE 24 17 0 10 Nov 2023