Kovachki, Nikola

6 publications

NeurIPS 2023 Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zongyi Li, Nikola Kovachki, Chris Choy, Boyi Li, Jean Kossaifi, Shourya Otta, Mohammad Amin Nabian, Maximilian Stadler, Christian Hundt, Kamyar Azizzadenesheli, Animashree Anandkumar

JMLR 2023 Neural Operator: Learning Maps Between Function Spaces with Applications to PDEs Nikola Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew Stuart, Anima Anandkumar

NeurIPS 2022 Learning Chaotic Dynamics in Dissipative Systems Zongyi Li, Miguel Liu-Schiaffini, Nikola Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew Stuart, Anima Anandkumar

JMLR 2021 On Universal Approximation and Error Bounds for Fourier Neural Operators Nikola Kovachki, Samuel Lanthaler, Siddhartha Mishra

NeurIPS 2020 Multipole Graph Neural Operator for Parametric Partial Differential Equations Zongyi Li, Nikola Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Andrew Stuart, Kaushik Bhattacharya, Anima Anandkumar

ICLRW 2020 Neural Operator: Graph Kernel Network for Partial Differential Equations Anima Anandkumar, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Nikola Kovachki, Zongyi Li, Burigede Liu, Andrew Stuart