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arXiv · 1708.03322

Output Reachable Set Estimation and Verification for Multi-Layer Neural Networks

Weiming Xiang·Hoang-Dung Tran·Taylor T. Johnson
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Abstract

In this paper, the output reachable estimation and safety verification problems for multi-layer perceptron neural networks are addressed. First, a conception called maximum sensitivity in introduced and, for a class of multi-layer perceptrons whose activation functions are monotonic functions, the maximum sensitivity can be computed via solving convex optimization problems. Then, using a simulation-based method, the output reachable set estimation problem for neural networks is formulated into a chain of optimization problems. Finally, an automated safety verification is developed based on the output reachable set estimation result. An application to the safety verification for a robotic arm model with two joints is presented to show the effectiveness of proposed approaches.

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Weiming Xiang, Hoang-Dung Tran, Taylor T. Johnson. 2017-08-09. Output Reachable Set Estimation and Verification for Multi-Layer Neural Networks. https://arxiv.org/abs/1708.03322

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