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
DynamoPMU: A Physics Informed Anomaly Detection and Prediction Methodology using non-linear dynamics from $\mu$PMU Measurement Data
Divyanshi Dwivedi, Pradeep Kumar Yemula, Mayukha Pal
A Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Study
Robert Ferrando, Laurent Pagnier, Robert Mieth, Zhirui Liang, Yury Dvorkin, Daniel Bienstock, Michael Chertkov