Physics-Aware Deep Learning and Dynamical Systems: Hybrid Modeling and Generalization. (Apprentissage profond pour la physique et les systèmes dynamiques : modélisation hybride et généralisation)
Yuan Yin
Sorbonne University, Paris, France, Jun 2023
Yuan Yin received the Accessit to the AFIA IA 2024 Thesis Prize for his PhD thesis “Physics-Aware Deep Learning and Dynamical Systems: Hybrid Modeling and Generalization” supervised by Patrick Gallinari. See https://afia.asso.fr/le-prix-de-these-afia/.
Deep learning has made significant progress in various fields and has emerged as a promising tool for modeling physical dynamical phenomena that exhibit highly nonlinear relationships. However, existing approaches are limited in their ability to make physically sound predictions due to the lack of prior knowledge and to handle real-world scenarios where data comes from multiple dynamics or is irregularly distributed in time and space. This thesis aims to overcome these limitations in the following directions: improving neural network-based dynamics modeling by leveraging physical models through hybrid modeling; extending the generalization power of dynamics models by learning commonalities from data of different dynamics to extrapolate to unseen systems; and handling free-form data and continuously predicting phenomena in time and space through continuous modeling. We highlight the versatility of deep learning techniques, and the proposed directions show promise for improving their accuracy and generalization power, paving the way for future research in new applications.