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The research aims to establish a mathematical framework for black-box acceptance influenced by metadata-conditioned auditing.

April 14, 2026Open Access

Institution-Relative Pairwise Information Necessity for Metadata-Conditioned Black-Box Acceptance

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The research aims to establish a mathematical framework for black-box acceptance influenced by metadata-conditioned auditing.
Developed a theoretical framework for black-box acceptance under metadata conditions.
Defined admissibility based on good and bad class declarations and false-accept/reject bounds.
Proved necessity theorems related to Kullback–Leibler divergences and provenance-class information.
Established lower bounds for the selector-averaged sum of witness-level Kullback–Leibler divergences.
Derived analogous lower bounds for provenance-class source information under specific conditions.
Formalized multiple theoretical constructs, including certified support conditions and audit design considerations.

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Develops a theoretical framework for black-box acceptance decisions in auditing, suggesting conditions for admissibility.

K Takahashi (2026) studied this question.

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