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
A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients Amirhossein Mollaali Izzet Sahin Iqrar Raza Christian Moya Guillermo Paniagua Guang Lin 21 2 0 07 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 16 1 0 04 Nov 2023
Decodable and Sample Invariant Continuous Object Encoder Dehao Yuan Furong Huang Cornelia Fermuller Yiannis Aloimonos 16 2 0 31 Oct 2023
Improved Operator Learning by Orthogonal Attention Zipeng Xiao Zhongkai Hao Bokai Lin Zhijie Deng Hang Su 24 13 0 19 Oct 2023
MgNO: Efficient Parameterization of Linear Operators via Multigrid Juncai He Xinliang Liu Jinchao Xu 37 21 0 16 Oct 2023
Learning nonlinear integral operators via Recurrent Neural Networks and its application in solving Integro-Differential Equations Hardeep Bassi Yuanran Zhu Senwei Liang Jia Yin Cian C. Reeves Vojtěch Vlček Chao Yang 42 8 0 13 Oct 2023
Multiple Physics Pretraining for Physical Surrogate Models Michael McCabe Bruno Régaldo-Saint Blancard Liam Parker Ruben Ohana M. Cranmer ... Francois Lanusse Mariel Pettee Tiberiu Teşileanu Kyunghyun Cho Shirley Ho PINN AI4CE 37 52 0 04 Oct 2023
CoNO: Complex Neural Operator for Continuous Dynamical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 19 1 0 03 Oct 2023
CoDBench: A Critical Evaluation of Data-driven Models for Continuous Dynamical Systems Priyanshu Burark Prathosh A P Karn Tiwari Meer Mehran Rashid Anoop Krishnan AI4CE 13 3 0 02 Oct 2023
Operator Learning Meets Numerical Analysis: Improving Neural Networks through Iterative Methods E. Zappala Daniel Levine Shiyang Zhang S. Rizvi Sacha Lévy David van Dijk 30 1 0 02 Oct 2023
Spectral Neural Networks: Approximation Theory and Optimization Landscape Chenghui Li Rishi Sonthalia Nicolas García Trillos 27 1 0 01 Oct 2023
Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs Jean Kossaifi Nikola B. Kovachki Kamyar Azizzadenesheli Anima Anandkumar AI4CE 42 33 0 29 Sep 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers Yuxuan Liu Zecheng Zhang Hayden Schaeffer 29 18 0 28 Sep 2023
DPA-WNO: A gray box model for a class of stochastic mechanics problem Tushar Souvik Chakraborty DiffM 21 3 0 24 Sep 2023
CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics Yining Luo Yingfa Chen Zhen Zhang AI4CE 25 9 0 13 Sep 2023
Online Infinite-Dimensional Regression: Learning Linear Operators Vinod Raman Unique Subedi Ambuj Tewari 27 0 0 08 Sep 2023
Broadband Ground Motion Synthesis via Generative Adversarial Neural Operators: Development and Validation Yaozhong Shi Grigorios Lavrentiadis D. Asimaki Zachary E. Ross Kamyar Azizzadenesheli 15 19 0 07 Sep 2023
CoLA: Exploiting Compositional Structure for Automatic and Efficient Numerical Linear Algebra Andres Potapczynski Marc Finzi Geoff Pleiss Andrew Gordon Wilson 20 7 0 06 Sep 2023
Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zong-Yi Li Nikola B. Kovachki Chris Choy Boyi Li Jean Kossaifi ... M. A. Nabian Maximilian Stadler Christian Hundt Kamyar Azizzadenesheli Anima Anandkumar AI4CE 34 131 0 01 Sep 2023
Scattering with Neural Operators Sebastian Mizera AI4CE 27 9 0 28 Aug 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers Arthur Feeney Zitong Li Ramin Bostanabad Aparna Chandramowlishwaran AI4CE 16 1 0 28 Aug 2023
Reduced Order Modeling of a MOOSE-based Advanced Manufacturing Model with Operator Learning M. Yaseen D. Yushu P. German Xunfeng Wu AI4CE 14 1 0 18 Aug 2023
Tipping Point Forecasting in Non-Stationary Dynamics on Function Spaces Miguel Liu-Schiaffini C. Singer Nikola B. Kovachki T. Schneider Kamyar Azizzadenesheli Anima Anandkumar 24 4 0 17 Aug 2023
Fast and Accurate Reduced-Order Modeling of a MOOSE-based Additive Manufacturing Model with Operator Learning M. Yaseen D. Yushu P. German Xuechun Wu AI4CE 11 5 0 04 Aug 2023
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks Viktor Grimm Alexander Heinlein A. Klawonn AI4CE 19 4 0 04 Aug 2023
Rapid Flood Inundation Forecast Using Fourier Neural Operator Alexander Y. Sun Zhi Li Won-Bo Lee Qixing Huang B. Scanlon Clint Dawson AI4CE 32 12 0 29 Jul 2023
BubbleML: A Multi-Physics Dataset and Benchmarks for Machine Learning Sheikh Md Shakeel Hassan Arthur Feeney A. Dhruv Jih-Woon Kim Youngjoon Suh Jaiyoung Ryu Y. Won Aparna Chandramowlishwaran AI4CE 18 10 0 27 Jul 2023
Predicting Ordinary Differential Equations with Transformers Soren Becker M. Klein Alexander Neitz Giambattista Parascandolo Niki Kilbertus 27 14 0 24 Jul 2023
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO) O. Ovadia Vivek Oommen Adar Kahana Ahmad Peyvan Eli Turkel George Karniadakis AI4CE 37 13 0 18 Jul 2023
Solving multiphysics-based inverse problems with learned surrogates and constraints Ziyi Yin Rafael Orozco M. Louboutin Felix J. Herrmann AI4CE 77 9 0 18 Jul 2023
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems Yongcun Song Xiaoming Yuan Hangrui Yue AI4CE 19 2 0 01 Jul 2023
Sampling weights of deep neural networks Erik Lien Bolager Iryna Burak Chinmay Datar Q. Sun Felix Dietrich BDL UQCV 19 16 0 29 Jun 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 27 4 0 28 Jun 2023
Spatiotemporal Besov Priors for Bayesian Inverse Problems Shiwei Lan M. Pasha Shuyi Li Weining Shen 16 5 0 28 Jun 2023
Neural network analysis of neutron and X-ray reflectivity data: Incorporating prior knowledge for tackling the phase problem Valentin Munteanu V. Starostin Alessandro Greco L. Pithan A. Gerlach A. Hinderhofer S. Kowarik F. Schreiber 18 3 0 28 Jun 2023
Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems Prashant K. Jha 32 4 0 21 Jun 2023
Progressive Fourier Neural Representation for Sequential Video Compilation Haeyong Kang Jaehong Yoon Dahyun Kim Sung Ju Hwang Chang D. Yoo AI4TS 38 2 0 20 Jun 2023
Operator Learning with Neural Fields: Tackling PDEs on General Geometries Louis Serrano Lise Le Boudec Armand K. Koupai Thomas X. Wang Yuan Yin Jean-Noël Vittaut Patrick Gallinari AI4CE 21 32 0 12 Jun 2023
Energy-Dissipative Evolutionary Deep Operator Neural Networks Jiahao Zhang Shiheng Zhang Jie Shen Guang Lin 13 10 0 09 Jun 2023
Globally injective and bijective neural operators Takashi Furuya Michael Puthawala Matti Lassas Maarten V. de Hoop 30 11 0 06 Jun 2023
Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere Boris Bonev Thorsten Kurth Christian Hundt Jaideep Pathak Maximilian Baust K. Kashinath Anima Anandkumar AI4Cl AI4CE 18 123 0 06 Jun 2023
Global universal approximation of functional input maps on weighted spaces Christa Cuchiero Philipp Schmocker Josef Teichmann 21 21 0 05 Jun 2023
Improving day-ahead Solar Irradiance Time Series Forecasting by Leveraging Spatio-Temporal Context Oussama Boussif Ghait Boukachab D. Assouline Stefano Massaroli T. Yuan L. Benabbou Yoshua Bengio 17 13 0 01 Jun 2023
Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior Shashank Subramanian P. Harrington Kurt Keutzer W. Bhimji Dmitriy Morozov Michael W. Mahoney A. Gholami AI4CE 28 71 0 01 Jun 2023
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators Dingcheng Luo Thomas O'Leary-Roseberry Peng Chen Omar Ghattas AI4CE 24 15 0 31 May 2023
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning Francesca Bartolucci Emmanuel de Bezenac Bogdan Raonić Roberto Molinaro Siddhartha Mishra Rima Alaifari 36 27 0 31 May 2023
Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains Levi E. Lingsch M. Michelis Emmanuel de Bezenac Sirani M. Perera Robert K. Katzschmann Siddartha Mishra 29 7 0 31 May 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 35 67 0 27 May 2023
Functional Flow Matching Gavin Kerrigan Giosue Migliorini Padhraic Smyth 39 13 0 26 May 2023
Fourier Neural Operators for Arbitrary Resolution Climate Data Downscaling Qidong Yang Alex Hernandez-Garcia P. Harder Venkatesh Ramesh Prasanna Sattegeri Daniela Szwarcman C. Watson David Rolnick AI4CE 24 21 0 23 May 2023