3 papers
nlin.CD2025
Reduced-Order Modeling of Cyclo-Stationary Time Series Using Score-Based Generative Methods
Ludovico Theo Giorgini, Tobias Bischoff, Andre Noguiera Souza
Many natural systems exhibit cyclo-stationary behavior characterized by periodic forcing such as annual and diurnal cycles. We present a data-driven method leveraging recent advanc…
physics.data-an2024
Response Theory via Generative Score Modeling
Ludovico Theo Giorgini, Katherine Deck, Tobias Bischoff +1
We introduce an approach for analyzing the responses of dynamical systems to external perturbations that combines score-based generative modeling with the Generalized Fluctuation-D…
nlin.CD2023
Reduced Markovian Models of Dynamical Systems
Ludovico Theo Giorgini, Andre N. Souza, Peter J. Schmid
Leveraging recent work on data-driven methods for constructing a finite state space Markov process from dynamical systems, we address two problems for obtaining further reduced sta…