English

Neural Hybrid Automata: Learning Dynamics with Multiple Modes and Stochastic Transitions

Machine Learning 2021-06-09 v1 Neural and Evolutionary Computing Systems and Control Systems and Control Dynamical Systems

Abstract

Effective control and prediction of dynamical systems often require appropriate handling of continuous-time and discrete, event-triggered processes. Stochastic hybrid systems (SHSs), common across engineering domains, provide a formalism for dynamical systems subject to discrete, possibly stochastic, state jumps and multi-modal continuous-time flows. Despite the versatility and importance of SHSs across applications, a general procedure for the explicit learning of both discrete events and multi-mode continuous dynamics remains an open problem. This work introduces Neural Hybrid Automata (NHAs), a recipe for learning SHS dynamics without a priori knowledge on the number of modes and inter-modal transition dynamics. NHAs provide a systematic inference method based on normalizing flows, neural differential equations and self-supervision. We showcase NHAs on several tasks, including mode recovery and flow learning in systems with stochastic transitions, and end-to-end learning of hierarchical robot controllers.

Keywords

Cite

@article{arxiv.2106.04165,
  title  = {Neural Hybrid Automata: Learning Dynamics with Multiple Modes and Stochastic Transitions},
  author = {Michael Poli and Stefano Massaroli and Luca Scimeca and Seong Joon Oh and Sanghyuk Chun and Atsushi Yamashita and Hajime Asama and Jinkyoo Park and Animesh Garg},
  journal= {arXiv preprint arXiv:2106.04165},
  year   = {2021}
}
R2 v1 2026-06-24T02:56:50.865Z