arXiv:2108.13179

Reachability Is NP-Complete Even for the Simplest Neural Networks

Marco Sälzer, Martin Lange

제출 2021-08-30

원문 초록

We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and conjunctive input/output specifications. We repair some flaws in the original upper and lower bound proofs. We then show that NP-hardness already holds for restricted classes of simple specifications and neural networks with just one layer, as well as neural networks with minimal requirements on the occurring parameters.

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