Fourier neural operator for parametric partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2010.08895, 2020 | 1971 | 2020 |

Neural operator: Learning maps between function spaces with applications to pdes N Kovachki, Z Li, B Liu, K Azizzadenesheli, K Bhattacharya, A Stuart, ... Journal of Machine Learning Research 24 (89), 1-97, 2023 | 632 | 2023 |

Neural operator: Graph kernel network for partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2003.03485, 2020 | 572 | 2020 |

Multipole graph neural operator for parametric partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, A Stuart, K Bhattacharya, ... Advances in Neural Information Processing Systems 33, 6755-6766, 2020 | 346 | 2020 |

Model reduction and neural networks for parametric PDEs K Bhattacharya, B Hosseini, NB Kovachki, AM Stuart The SMAI journal of computational mathematics 7, 121-157, 2021 | 338 | 2021 |

Physics-informed neural operator for learning partial differential equations Z Li, H Zheng, N Kovachki, D Jin, H Chen, B Liu, K Azizzadenesheli, ... ACM/JMS Journal of Data Science 1 (3), 1-27, 2024 | 333 | 2024 |

On universal approximation and error bounds for Fourier neural operators N Kovachki, S Lanthaler, S Mishra Journal of Machine Learning Research 22 (290), 1-76, 2021 | 238 | 2021 |

Ensemble Kalman inversion: a derivative-free technique for machine learning tasks NB Kovachki, AM Stuart Inverse Problems 35 (9), 095005, 2019 | 139 | 2019 |

Neural operator: Graph kernel network for partial differential equations A Anandkumar, K Azizzadenesheli, K Bhattacharya, N Kovachki, Z Li, ... ICLR 2020 Workshop on Integration of Deep Neural Models and Differential …, 2020 | 110 | 2020 |

Burigede liu, Kaushik Bhattacharya, Andrew Stuart, and Anima Anandkumar. Fourier neural operator for parametric partial differential equations Z Li, NB Kovachki, K Azizzadenesheli International Conference on Learning Representations 2 (3), 4, 2021 | 98 | 2021 |

Fourier neural operator for parametric partial differential equations, arXiv Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2010.08895, 2020 | 96 | 2020 |

Regression clustering for improved accuracy and training costs with molecular-orbital-based machine learning L Cheng, NB Kovachki, M Welborn, TF Miller III Journal of Chemical Theory and Computation 15 (12), 6668-6677, 2019 | 64 | 2019 |

A learning-based multiscale method and its application to inelastic impact problems B Liu, N Kovachki, Z Li, K Azizzadenesheli, A Anandkumar, AM Stuart, ... Journal of the Mechanics and Physics of Solids 158, 104668, 2022 | 61 | 2022 |

Convergence rates for learning linear operators from noisy data MV de Hoop, NB Kovachki, NH Nelsen, AM Stuart SIAM/ASA Journal on Uncertainty Quantification 11 (2), 480-513, 2023 | 53 | 2023 |

Markov neural operators for learning chaotic systems Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2106.06898, 2-3, 2021 | 45 | 2021 |

Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization N Kovachki, B Liu, X Sun, H Zhou, K Bhattacharya, M Ortiz, A Stuart Mechanics of Materials 165, 104156, 2022 | 42 | 2022 |

Continuous time analysis of momentum methods NB Kovachki, AM Stuart Journal of Machine Learning Research 22 (17), 1-40, 2021 | 33 | 2021 |

Neural operators for accelerating scientific simulations and design K Azizzadenesheli, N Kovachki, Z Li, M Liu-Schiaffini, J Kossaifi, ... Nature Reviews Physics, 1-9, 2024 | 32 | 2024 |

Score-based diffusion models in function space JH Lim, NB Kovachki, R Baptista, C Beckham, K Azizzadenesheli, ... arXiv preprint arXiv:2302.07400, 2023 | 30 | 2023 |

Geometry-informed neural operator for large-scale 3d pdes Z Li, N Kovachki, C Choy, B Li, J Kossaifi, S Otta, MA Nabian, M Stadler, ... Advances in Neural Information Processing Systems 36, 2024 | 29 | 2024 |