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PublicationsJun 1283% confidenceConfidence 83% — the share of independent, credible sources corroborating the core facts.

Information-Theoretic Analysis of Masking-Based AI Explanation Methods Reveals Fundamental Limits

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Researchers have formulated masking-based AI explanation methods—such as KernelSHAP and LIME—as a communication channel problem, deriving theoretical limits on how reliably these methods can recover feature importance. The work introduces an 'identification capacity' that bounds the rate at which useful explanation information can be extracted per query to a black-box model. The findings reveal that widely used convex surrogate methods like Lasso and OLS can fail even when information-theoretic conditions would permit reliable explanations, exposing a fundamental gap in current practice.

A preprint posted to arXiv frames masking-based post-hoc explainability methods—including the popular KernelSHAP and LIME algorithms—as a communication problem, where a latent explanation acts as a message transmitted through randomized perturbation queries to a black-box model. The authors derive a strong converse theorem showing that if the complexity of the desired explanation exceeds the channel's identification capacity, exact recovery of the explanation becomes impossible regardless of the decoding strategy used. Complementing this, an achievability result demonstrates that a sparse maximum-likelihood decoder can reliably recover explanations when operating below capacity. Experiments using a Monte Carlo mutual information estimator reveal a regime of query budgets where information theory permits reliable recovery but standard methods like LIME and KernelSHAP still fail. The framework also reinterprets design choices such as super-pixel resolution in image explanations and tokenization in language models as source-coding decisions that set explanation entropy, and shows how Gaussian noise and nonlinear model curvature degrade the query channel, producing waterfall and error-floor failure modes analogous to those seen in classical communications.

What's missing

As a preprint, this work has not yet undergone formal peer review. The experimental validation appears limited to synthetic or controlled settings; performance on large-scale, real-world black-box models across diverse domains is not reported. The tightness of the non-asymptotic bounds in practical finite-sample regimes and the computational cost of the proposed sparse maximum-likelihood decoder relative to LIME/KernelSHAP are not fully characterized.

What different sources said

  • The Query Channel: Information-Theoretic Limits of Masking-Based Explanations

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