Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems

• URL: http://arxiv.org/abs/2408.14821v1
• Date: Tue, 27 Aug 2024 07:03:51 GMT
• Title: Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems
• Authors: Yuan Chen, Dongbin Xiu,
• Abstract summary: We present a numerical method for learning the dynamics of slow components of unknown multiscale dynamical systems. By utilizing the observation data, our proposed method is capable of constructing a generative model that can accurately capture the effective dynamics of the slow variables in distribution.
• Score: 4.357350642401934
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are available. By utilizing the observation data, our proposed method is capable of constructing a generative stochastic model that can accurately capture the effective dynamics of the slow variables in distribution. We present a comprehensive set of numerical examples to demonstrate the performance of the proposed method.

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