Accelerating Safety Verification of Neural Network Dynamical Systems Using Assured Compressed Models

Zhongzhu Shao, Tao Wang, Weiming Xiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we develop a formal assured simplification method to accelerate the safety verification process of a neural network model that approximates a nonlinear dynamical system. Firstly, an assured compression error is proposed to describe the maximum output difference introduced by neural network compression. A reachability-based computational process is then developed to estimate the assured compression error. The assured compression error is used to accelerate the reachability analysis and safety verification of neural network dynamical system models, which can significantly reduce the computational time for safety verification. Finally, the proposed approach is applied to a case study of a magnetic levitation system to demonstrate its correctness and effectiveness.

Original languageEnglish (US)
Title of host publicationProceedings of the 35th Chinese Control and Decision Conference, CCDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4030-4035
Number of pages6
ISBN (Electronic)9798350334722
DOIs
StatePublished - 2023
Event35th Chinese Control and Decision Conference, CCDC 2023 - Yichang, China
Duration: May 20 2023May 22 2023

Publication series

NameProceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

Conference

Conference35th Chinese Control and Decision Conference, CCDC 2023
Country/TerritoryChina
CityYichang
Period5/20/235/22/23

Keywords

  • model compression
  • neural networks
  • nonlinear systems
  • reachable set computation
  • safety verification

ASJC Scopus subject areas

  • Control and Optimization
  • Modeling and Simulation
  • Artificial Intelligence
  • Computer Vision and Pattern Recognition
  • Decision Sciences (miscellaneous)
  • Safety, Risk, Reliability and Quality

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