Response Theory via Generative Score Modeling

arXiv:2402.01029v1 Announce Type: cross
Abstract: We introduce an approach for analyzing the responses of dynamical systems to external perturbations that combines score-based generative modeling with the Fluctuation-Dissipation Theorem (FDT). The methodology enables accurate estimation of system responses, especially for systems with non-Gaussian statistics, often encountered in dynamical systems far from equilibrium. Such cases often present limitations for conventional approximate methods. We numerically validate our approach using time-series data from a stochastic partial differential equation where the score function is available …

abstract arxiv cases cs.lg equilibrium generative generative modeling methodology modeling physics.data-an responses statistics systems theorem theory type via