Interpretability Guarantees with Merlin-Arthur Classifiers
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Abstract (arXiv)
We propose an interactive multi-agent classifier that provides provable interpretability guarantees even for complex agents such as neural networks. These guarantees consist of lower bounds on the mutual information between selected features and the classification decision. Our results are inspired by the Merlin-Arthur protocol from Interactive Proof Systems and express these bounds in terms of measurable metrics such as soundness and completeness. Compared to existing interactive setups, we rely neither on optimal agents nor on the assumption that features are distributed independently. Instead, we use the relative strength of the agents as well as the new concept of Asymmetric Feature Correlation which captures the precise kind of correlations that make interpretability guarantees difficult. We evaluate our results on two small-scale datasets where high mutual information can be verified explicitly.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 39 of its 63 references that are in the map. First posted on arXiv 1 Jun 2022.
Builds on
39 of 63 references.
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27 more
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Citing papers per year: 2023: 1; 2024: 2; 2025: 3; 2026: 3.
9 papers.
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- 2023Hardness of Deceptive Certificate Selectioncited by 0
- 2025Neural Concept Verifier: Scaling Prover-Verifier Games via Concept Encodingscited by 0
- 2025Bounding Hallucinations: Merlin-Arthur Protocols for Mutual-Information Bounds in Language Modelscited by 0
- 2026Learn from A Rationalist: Distilling Intermediate Interpretable Rationalescited by 0
- 2026On the Monitorability of Natural Language Autoencoders: Identification vs Discriminationcited by 0
- 2026On the Monitorability of Natural Language Autoencoders: Identification vs Discrimination13 Oct 2026
- 2026How to Avoid Debate: Scalable AI Safety via Doubly-Efficient Interactive Proofs3 Jul 2026
- 2026Learn from A Rationalist: Distilling Intermediate Interpretable Rationales30 Jan 2026
- 2025Bounding Hallucinations: Merlin-Arthur Protocols for Mutual-Information Bounds in Language Models12 Dec 2025
- 2025Neural Concept Verifier: Scaling Prover-Verifier Games via Concept Encodings10 Jul 2025
- 2025Object Centric Concept Bottlenecks30 May 2025
- 2024Prover-Verifier Games improve legibility of LLM outputs18 Jul 2024
- 2024Models That Prove Their Own Correctness24 May 2024
- 2023Hardness of Deceptive Certificate Selection7 Jun 2023