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Exploring Solver-Level Warmstarting for Neural Network Verification

A new arXiv paper (arXiv:2609.25962v1) reports that solver-level warmstarting can significantly reduce neural network verification time in most cases and enables successful verification of instances that could not be solved from scratch within the given time limit. The authors studied the effect on running time as perturbation radii, input data, and the networks themselves were modified, using a pipeline they describe as generalisable and potentially adaptable to state-of-the-art verifiers. The work targets the NP-completeness of verification even for common adversarial robustness specifications.

by read1 min views1 publishedSep 23, 2026

arXiv:2609.25962v1 Announce Type: new Abstract: Neural network verification has become a key tool for providing formal guarantees on the behaviour of neural networks. However, many verification problems remain computationally intractable in the worst case: even for common adversarial robustness specifications, verification is NP-complete. Here, we explore the application of solver-level warmstarting for neural network verification to exploit information from previous solutions. We study the effect on running time as several properties are modified, including perturbation radii, input data and the networks themselves, using a pipeline that is generalisable and potentially adaptable to state-of-the-art verifiers. Our results show that warmstarting can significantly reduce verification time in most cases. Moreover, warmstarting enables the successful verification of instances that could not be solved from scratch within the given time limit.

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