Selected Publications on Machine Learning

  1. Fourier Neural Operator for Parametric Partial Differential Equations Zongyi Li, Nikola Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew Stuart, Anima Anandkumar International Conference on Learning Representations, 2021
  2. Neural Operator: Learning Maps Between Function Spaces Nikola Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew Stuart, Anima Anandkumar Journal of Machine Learning Research, 2021
  3. Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zongyi Li, Daniel Zhengyu Huang, Burigede Liu, Anima Anandkumar Journal of Machine Learning Research, 2023
  4. Physics-Informed Neural Operator for Learning Partial Differential Equations Zongyi Li, Hongkai Zheng, Nikola Kovachki, David Jin, Haoxuan Chen, Burigede Liu, Kamyar Azizzadenesheli, Anima Anandkumar ACM/JMS Journal of Data Science, 2024
  5. Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers John Guibas, Morteza Mardani, Zongyi Li, Andrew Tao, Anima Anandkumar, Bryan Catanzaro International Conference on Learning Representations, 2022

Selected Publications on Scientific Applications

  1. 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 Advances in Neural Information Processing Systems, 2023
  2. FourcastNet: A Global Data-Driven High-Resolution Weather Model Using Adaptive Fourier Neural Operators Jaideep Pathak, Shashank Subramanian, Peter Harrington, Sanjeev Raja, Ashesh Chattopadhyay, Morteza Mardani, Thorsten Kurth, David Hall, Zongyi Li, Kamyar Azizzadenesheli PASC '23: Proceedings of the Platform for Advanced Scientific Computing Conference, 2023
  3. U-FNO—An Enhanced Fourier Neural Operator-Based Deep-Learning Model for Multiphase Flow Gege Wen, Zongyi Li, Kamyar Azizzadenesheli, Anima Anandkumar, Sally M Benson Advances in Water Resources, 2022
  4. AI-Aided Geometric Design of Anti-Infection Catheters Tingtao Zhou, Xuan Wan, Daniel Zhengyu Huang, Zongyi Li, Zhiwei Peng, Anima Anandkumar, John F Brady, Paul W Sternberg, Chiara Daraio Science Advances, 2024
  5. A Learning-Based Multiscale Method and Its Application to Inelastic Impact Problems Burigede Liu, Nikola Kovachki, Zongyi Li, Kamyar Azizzadenesheli, Anima Anandkumar, Andrew Stuart, Kaushik Bhattacharya Journal of the Mechanics and Physics of Solids, 2021