arXiv AI By Usef Faghihi, Amir Saki

Common-Witness Certificates and Sharp Feature Bounds for Counterfactual Image Auditing

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The paper introduces a framework for auditing image editors that can satisfy regional plausibility constraints while lacking a single latent explanation for the entire output. It defines a common witness grade and witness nerve to formalize local-to-global failures, separating auditing from causal identification. Using Helly-type arguments and a blocker-hypergraph formula, the authors provide short incompatibility certificates, sharp partial-identification bounds for specified image features, and finite-sample outer coverage of identified intervals, validated through controlled MNIST, Morpho-MNIST, and smallNORB experiments.

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