Efficient Neural Hybrid System Learning and Transition System Abstraction for Dynamical Systems

Abstract: This paper proposes a neural network hybrid modeling framework for dynamics learning to promote an interpretable, computationally efficient way of dynamics learning and system identification. First, a low-level model will be trained to learn the system dynamics, which utilizes multiple simple neural networks to approximate the local dynamics generated from data-driven partitions. Then, based on the low-level model, a high-level model will be trained to abstract the low-level neural hybrid system model into a transition system that allows Computational Tree Logic Verification to promote the model's ability with human interaction and verification efficiency. Keywords: Hybrid and Distributed System Modeling; Neural Networks; Nonlinear System Modeling; Maximum-Entropy Partitioning; Model Abstraction.