Physic Informed Machine Learning
Physics-informed machine learning (PIML) integrates physical laws and principles into machine learning models to improve prediction accuracy, robustness, and interpretability, particularly when data is scarce or noisy. Current research focuses on applying PIML to various problems using diverse architectures, including neural networks (e.g., Physics-Informed Neural Networks, DeepONets), Gaussian processes, and state-space models, often tailored to specific applications like dynamical systems modeling and solving partial differential equations. This hybrid approach offers significant advantages over purely data-driven or purely physics-based methods, impacting fields ranging from engineering and materials science to environmental modeling and healthcare through improved model accuracy and reduced computational costs.
Papers
Physics-Informed Variational State-Space Gaussian Processes
Oliver Hamelijnck, Arno Solin, Theodoros Damoulas
Non-overlapping, Schwarz-type Domain Decomposition Method for Physics and Equality Constrained Artificial Neural Networks
Qifeng Hu, Shamsulhaq Basir, Inanc Senocak
Physics-informed kernel learning
Nathan Doumèche (LPSM, EDF R&D OSIRIS), Francis Bach (PSL), Gérard Biau (SU, IUF), Claire Boyer (IUF)
A Physics-Informed Machine Learning Approach for Solving Distributed Order Fractional Differential Equations
Alireza Afzal Aghaei
State-space models are accurate and efficient neural operators for dynamical systems
Zheyuan Hu, Nazanin Ahmadi Daryakenari, Qianli Shen, Kenji Kawaguchi, George Em Karniadakis
Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems
James H. Adler, Samuel Hocking, Xiaozhe Hu, Shafiqul Islam
Physics-guided machine learning predicts the planet-scale performance of solar farms with sparse, heterogeneous, public data
Jabir Bin Jahangir, Muhammad Ashraful Alam