An inprocessing framework for neural network verification driven by the lookahead procedure is introduced, which derives new lemmas over the phases of unstable ReLUs, which are collected into an implication graph that is used to prune the search space and vivify boolean cuts.
Abstract
State-of-the-art neural network verifiers use the branch-and-bound procedure as their core solving mechanism. We introduce an inprocessing framework for neural network verification driven by the lookahead procedure. Under this framework, lookahead derives new lemmas over the phases of unstable ReLUs, which are collected into an implication graph that is used to prune the search space and vivify boolean cuts. We instantiate the framework in two state-of-the-art verifiers, Marabou and $\alpha$-$\beta$-CROWN, and demonstrate that it improves performance in both, proving up to 34% more instances unsatisfiable.
This work presents a general recipe to integrate lookahead into any branch-and-bound verifier and demonstrates how one of the current state-of-the-art branching heuristics, FSB, can be viewed as a special instantiation of the lookahead branching strategy.
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A branch-and-bound framework to mitigate the issue of verifying relational specifications against relational specifications, which iteratively splits the problem until all sub-problems are verified, and devise a relational neuron selection strategy based on the dual formulation of the verification problem.
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This study shows that template subsumption rates can vary widely across scenarios, and presents FastCert, a novel technique for automatically distributing templates across neural network layers to increase performance impact, eschewing templates entirely if they are unlikely to produce a speedup.
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This work designs an SCA-based proof engine that exploits a conflict-aware learning approach that compresses the intermediate polynomial expression and successfully verifies circuits that remained unverifiable using previous approaches.
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VeRe is proposed, a verification-guided repair framework that leverages linear relaxation to precisely and efficiently estimate the repair significance of neurons and synthesizes ideal intervals that provide sound guarantees for correct behaviors, thereby facilitating surgical and targeted adjustments of neuron paramet...
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Building reliable applications that leverage large language models (LLMs) remains a significant challenge. While LLMs offer impressive capabilities across diverse tasks, their outputs often lack accuracy and provide no clear measure of confidence. This uncertainty compounds in flows of multiple calls to LLMs and other...
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