Data Driven Model
Data-driven models leverage large datasets and machine learning algorithms to build predictive models of complex systems, aiming to improve accuracy and efficiency compared to traditional methods. Current research focuses on enhancing model interpretability through techniques like Koopman operator estimation and physics-informed machine learning (PIML), as well as addressing challenges such as data scarcity via self-supervised learning and transfer learning, and mitigating issues of overfitting and instability through regularization. These advancements are significantly impacting diverse fields, from weather forecasting and materials science to hydrology and healthcare, by enabling more accurate predictions and improved decision-making in data-rich environments.
Papers
Breaking the Curse of Dimensionality in Deep Neural Networks by Learning Invariant Representations
Leonardo Petrini
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era
Eleni D. Koronaki, Nikolaos Evangelou, Cristina P. Martin-Linares, Edriss S. Titi, Ioannis G. Kevrekidis
A Competitive Learning Approach for Specialized Models: A Solution for Complex Physical Systems with Distinct Functional Regimes
Okezzi F. Ukorigho, Opeoluwa Owoyele
Towards a population-informed approach to the definition of data-driven models for structural dynamics
G. Tsialiamanis, N. Dervilis, D. J. Wagg, K. Worden