Physics-informed neural operators with exact differentiation on arbitrary geometries

C White, J Berner, J Kossaifi, M Elleithy… - The Symbiosis of …, 2023 - openreview.net
Neural Operators can learn operators from data, for example, to solve partial differential
equations (PDEs). In some cases, this data-driven approach is not sufficient, eg, if the data is …

Graphon Mean Field Games with A Representative Player: Analysis and Learning Algorithm

F Zhou, C Zhang, X Chen, X Di - arXiv preprint arXiv:2405.08005, 2024 - arxiv.org
We propose a discrete-time graphon game formulation on continuous state and action
spaces using a representative player to study stochastic games with heterogeneous …

Physics-Embedded Deep Learning to Predict Real-Time Flow Parameters in Complex Thermodynamic Machinery

Z Lin, D Xiao, H Xiao - Aerospace, 2024 - mdpi.com
Flow through complex thermodynamic machinery is intricate, incorporating turbulence,
compressibility effects, combustion, and solid–fluid interactions, posing a challenge to …

Physics-Informed Graph Neural Operator for Mean Field Games on Graph: A Scalable Learning Approach

X Chen, S Liu, X Di - Games, 2024 - mdpi.com
Mean-field games (MFGs) are developed to model the decision-making processes of a large
number of interacting agents in multi-agent systems. This paper studies mean-field games …