Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence 2018
DOI: 10.24963/ijcai.2018/368
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Reachability Analysis of Deep Neural Networks with Provable Guarantees

Abstract: Verifying correctness of deep neural networks (DNNs) is challenging. We study a generic reachability problem for feed-forward DNNs which, for a given set of inputs to the network and a Lipschitzcontinuous function over its outputs, computes the lower and upper bound on the function values. Because the network and the function are Lipschitz continuous, all values in the interval between the lower and upper bound are reachable. We show how to obtain the safety verification problem, the output range analysis prob… Show more

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Cited by 212 publications
(177 citation statements)
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“…A promising approach is automated verification, which aims to provide robustness guarantees for DNNs. The main relevant techniques include a layer-by-layer exhaustive search [14], methods that use constraint solvers [15], global optimisation approaches [13] and abstract interpretation [16,17] to over-approximate a DNN's behavior. Exhaustive search suffers from the state-space explosion problem, which can be alleviated by Monte Carlo tree search [2].…”
Section: Robustness Of Dnnsmentioning
confidence: 99%
“…A promising approach is automated verification, which aims to provide robustness guarantees for DNNs. The main relevant techniques include a layer-by-layer exhaustive search [14], methods that use constraint solvers [15], global optimisation approaches [13] and abstract interpretation [16,17] to over-approximate a DNN's behavior. Exhaustive search suffers from the state-space explosion problem, which can be alleviated by Monte Carlo tree search [2].…”
Section: Robustness Of Dnnsmentioning
confidence: 99%
“…Several works have posed the problem of certifying robustness of neural networks as a convex optimization problem. Ruan, Huang, & Kwiatkowska [85] reduce the robustness verification of a neural network to the generic reachability problem and then solve it as a convex optimization problem. Their work provides provable guarantees of upper and lower bounds, which converges to the ground truth in the limit.…”
Section: Related Workmentioning
confidence: 99%
“…Ruan, Huang and Kwiatkowska [44] show how to obtain the safety verification problem, the output range analysis problem and a robustness measure by instantiating the reachability problem. They present a novel algorithm based on adaptive nested optimisation to solve the reachability problem.…”
Section: Verification and Simulationmentioning
confidence: 99%