TRIPODS Winter School & Workshop on Interplay between Artificial Intelligence (AI) and Dynamical Systems
January 21st, 2022
- Paris Perdikaris (University of Pennsylvania, pgp@seas.upenn.edu)
- Jacob Seidman (University of Pennsylvania, seidj@sas.upenn.edu)
- Georgios Kissas (University of Pennsylvania, gkissas@seas.upenn.edu)
Functional data and applications; Supervised learning in function spaces; Parametric vs non-parametric approaches; Applications highlights; Introduction to JAX.
Deep operator networks (DeepONets): Formulation, theory, implementation aspects and applications.
Fourier Neural Operators: Formulation, theory, implementation aspects and applications.
Advanced topics: attention-based architectures; Applications to optimal control and climate modeling; Open challenges; Concluding remarks & discussion.
- Training data for the Darcy problem.
- Testing data for the Darcy problem.
To cite this repository:
@misc{perdikaris2022tripods,
author = {Perdikaris, Paris and Seidman, Jacob and Kissas, Georgios},
title = {Supervised Learning in Function Spaces},
year = {2022},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/PredictiveIntelligenceLab/TRIPODS_Winter_School_2022}}
}