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Verified SHAP: Provable Bounds for Exact Shapley Values of Neural Networks

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Computer Science > Machine Learning

arXiv:2605.24084 (cs)
[Submitted on 22 May 2026]

Title:Verified SHAP: Provable Bounds for Exact Shapley Values of Neural Networks

View a PDF of the paper titled Verified SHAP: Provable Bounds for Exact Shapley Values of Neural Networks, by David Boetius and 4 other authors
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Abstract:Shapley additive explanations (SHAP) are widely recognised as computationally intractable for neural networks, since they induce an exponential search space over the input features. In this work, we take a first step towards scaling exact SHAP computation to larger search spaces by introducing an algorithm that leverages recent advances in neural network verification to compute arbitrarily tight exact lower and upper bounds on SHAP values for neural networks, ultimately recovering the exact SHAP values. We demonstrate that our approach scales to orders of magnitude larger search spaces than state-of-the-art exact methods. This provides an important first step towards exact SHAP computation and establishes a principled cornerstone for evaluating statistical approximation methods on larger search spaces.
Comments: Accepted at ICML 2026. 34 pages, 13 figures
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)
Cite as: arXiv:2605.24084 [cs.LG]
  (or arXiv:2605.24084v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.24084
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: David Boetius [view email]
[v1] Fri, 22 May 2026 18:00:01 UTC (2,560 KB)
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