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Verifying reinforcement learning up to infinity

Abstract:
Formally verifying that reinforcement learning systems act safely is increasingly important, but existing methods only verify over finite time. This is of limited use for dynamical systems that run indefinitely. We introduce the first method for verifying the time-unbounded safety of neural networks controlling dynamical systems. We develop a novel abstract interpretation method which, by constructing adaptable template-based polyhedra using MILP and interval arithmetic, yields sound - safe and invariant - overapproximations of the reach set. This provides stronger safety guarantees than previous time-bounded methods and shows whether the agent has generalised beyond the length of its training episodes. Our method supports ReLU activation functions and systems with linear, piecewise linear and non-linear dynamics defined with polynomial and transcendental functions. We demonstrate its efficacy on a range of benchmark control problems.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.24963/ijcai.2021/297

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
International Joint Conferences on Artificial Intelligence Organization
Host title:
Proceedings of the 30th International Joint Conference on Artificial Intelligence (IJCAI 2021)
Journal:
Proceedings of the International Joint Conference on Artificial Intelligence More from this journal
Pages:
2154-2160
Publication date:
2021-08-11
Acceptance date:
2021-04-29
Event title:
30th International Joint Conference on Artificial Intelligence (IJCAI 2021)
Event location:
Montreal, Canada
Event website:
https://ijcai-21.org/
Event start date:
2021-08-21
Event end date:
2021-08-26
DOI:


Language:
English
Keywords:
Pubs id:
1178085
Local pid:
pubs:1178085
Deposit date:
2021-05-23

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