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Formal verification of neural network controlled autonomous systems

Authors:

Yasser ShoukryAuthors Info & Claims

HSCC '19: Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control

Pages 147 - 156

https://doi.org/10.1145/3302504.3311802

Published: 16 April 2019 Publication History

Abstract

In this paper, we consider the problem of formally verifying the safety of an autonomous robot equipped with a Neural Network (NN) controller that processes LiDAR images to produce control actions. Given a workspace that is characterized by a set of polytopic obstacles, our objective is to compute the set of safe initial states such that a robot trajectory starting from these initial states is guaranteed to avoid the obstacles. Our approach is to construct a finite state abstraction of the system and use standard reachability analysis over the finite state abstraction to compute the set of safe initial states. To mathematically model the imaging function, that maps the robot position to the LiDAR image, we introduce the notion of imaging-adapted partitions of the workspace in which the imaging function is guaranteed to be affine. Given this workspace partitioning, a discrete-time linear dynamics of the robot, and a pre-trained NN controller with Rectified Linear Unit (ReLU) non-linearity, we utilize a Satisfiability Modulo Convex (SMC) encoding to enumerate all the possible assignments of different ReLUs. To accelerate this process, we develop a pre-processing algorithm that could rapidly prune the space of feasible ReLU assignments. Finally, we demonstrate the efficiency of the proposed algorithms using numerical simulations with the increasing complexity of the neural network controller.

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Cited By

Chakraborty SJha SSamii SMundhenk P(2024)Introduction to the Special Issue on Automotive CPS Safety & Security: Part 2ACM Transactions on Cyber-Physical Systems10.1145/36502108:2(1-17)Online publication date: 8-Mar-2024
https://dl.acm.org/doi/10.1145/3650210
Chen HBabar M(2024)Security for Machine Learning-based Software Systems: A Survey of Threats, Practices, and ChallengesACM Computing Surveys10.1145/363853156:6(1-38)Online publication date: 23-Feb-2024
https://dl.acm.org/doi/10.1145/3638531
Fatnassi WShoukry Y(2024)PolyARBerNN: A Neural Network Guided Solver and Optimizer for Bounded Polynomial InequalitiesACM Transactions on Embedded Computing Systems10.1145/363297023:2(1-26)Online publication date: 24-Jan-2024
https://dl.acm.org/doi/10.1145/3632970
Show More Cited By

Index Terms

Formal verification of neural network controlled autonomous systems
1. Computing methodologies
  1. Artificial intelligence
    1. Control methods
2. Security and privacy
  1. Formal methods and theory of security

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cover image ACM Conferences

HSCC '19: Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control

April 2019

299 pages

ISBN:9781450362825

DOI:10.1145/3302504

Program Chairs:
Necmiye Ozay
University of Michigan
,
Pavithra Prabhakar
Kansas State University

Copyright © 2019 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Published: 16 April 2019

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HSCC '19

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HSCC '19: 22nd ACM International Conference on Hybrid Systems: Computation and Control

April 16 - 18, 2019

Quebec, Montreal, Canada

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Overall Acceptance Rate 153 of 373 submissions, 41%

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Cited By

Chakraborty SJha SSamii SMundhenk P(2024)Introduction to the Special Issue on Automotive CPS Safety & Security: Part 2ACM Transactions on Cyber-Physical Systems10.1145/36502108:2(1-17)Online publication date: 8-Mar-2024
https://dl.acm.org/doi/10.1145/3650210
Chen HBabar M(2024)Security for Machine Learning-based Software Systems: A Survey of Threats, Practices, and ChallengesACM Computing Surveys10.1145/363853156:6(1-38)Online publication date: 23-Feb-2024
https://dl.acm.org/doi/10.1145/3638531
Fatnassi WShoukry Y(2024)PolyARBerNN: A Neural Network Guided Solver and Optimizer for Bounded Polynomial InequalitiesACM Transactions on Embedded Computing Systems10.1145/363297023:2(1-26)Online publication date: 24-Jan-2024
https://dl.acm.org/doi/10.1145/3632970
Perez-Cerrolaza JAbella JBorg MDonzella CCerquides JCazorla FEnglund CTauber MNikolakopoulos GFlores J(2024)Artificial Intelligence for Safety-Critical Systems in Industrial and Transportation Domains: A SurveyACM Computing Surveys10.1145/362631456:7(1-40)Online publication date: 9-Apr-2024
https://dl.acm.org/doi/10.1145/3626314
Sun XShoukry Y(2024)Neurosymbolic Motion and Task Planning for Linear Temporal Logic TasksIEEE Transactions on Robotics10.1109/TRO.2024.339207940(2749-2768)Online publication date: 2024
https://doi.org/10.1109/TRO.2024.3392079
Habeeb PD’Souza DLodaya KPrabhakar P(2024)Interval Image Abstraction for Verification of Camera-Based Autonomous SystemsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2024.344830643:11(4310-4321)Online publication date: Nov-2024
https://doi.org/10.1109/TCAD.2024.3448306
Fatnassi WFeeney AYamamoto VChandramowlishwaran AShoukry Y(2024)BERN-NN-IBF: Enhancing Neural Network Bound Propagation Through Implicit Bernstein Form and Optimized Tensor OperationsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2024.344757743:11(4334-4345)Online publication date: Nov-2024
https://doi.org/10.1109/TCAD.2024.3447577
Habeeb PGupta LPrabhakar P(2024)Approximate Conformance Checking for Closed-Loop Systems With Neural Network ControllersIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2024.344581343:11(4322-4333)Online publication date: Nov-2024
https://doi.org/10.1109/TCAD.2024.3445813
Hagos DRawat D(2024)Neuro-Symbolic AI for Military ApplicationsIEEE Transactions on Artificial Intelligence10.1109/TAI.2024.34447465:12(6012-6026)Online publication date: Dec-2024
https://doi.org/10.1109/TAI.2024.3444746
Samadi AHarous AMohamed OBoukadoum M(2024)Advanced SEU and MBU Vulnerability Assessment of Deep Neural Networks in Air-to-Air Collision Avoidance Systems via SAT-Based Techniques2024 IEEE 67th International Midwest Symposium on Circuits and Systems (MWSCAS)10.1109/MWSCAS60917.2024.10658862(1201-1205)Online publication date: 11-Aug-2024
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