Attributions All the Way Down? The Metagame of Interpretability

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Autori principali: Baniecki, Hubert, Biecek, Przemyslaw, Fumagalli, Fabian
Natura: Preprint
Pubblicazione: 2026
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author Baniecki, Hubert
Biecek, Przemyslaw
Fumagalli, Fabian
author_facet Baniecki, Hubert
Biecek, Przemyslaw
Fumagalli, Fabian
contents We introduce the metagame, a conceptual framework for quantifying second-order interaction effects of model explanations. For any first-order attribution $ϕ(f)$ explaining a model $f$, we measure the directional influence of feature $j$ on the attribution of feature $i$, denoted as meta-attribution $φ_{j \to i}(f)$, by treating the attribution method itself as a cooperative game and computing its Shapley value. Theoretically, we prove that attributions hierarchically decompose into meta-attributions, and establish these as directional extensions of existing interaction indices. Empirically, we demonstrate that the metagame delivers insights across diverse interpretability applications: (i) quantifying token interactions in instruction-tuned language models, (ii) explaining cross-modal similarity in vision-language encoders, and (iii) interpreting text-to-image concepts in multimodal diffusion transformers.
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id arxiv_https___arxiv_org_abs_2605_06295
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Attributions All the Way Down? The Metagame of Interpretability
Baniecki, Hubert
Biecek, Przemyslaw
Fumagalli, Fabian
Machine Learning
Artificial Intelligence
We introduce the metagame, a conceptual framework for quantifying second-order interaction effects of model explanations. For any first-order attribution $ϕ(f)$ explaining a model $f$, we measure the directional influence of feature $j$ on the attribution of feature $i$, denoted as meta-attribution $φ_{j \to i}(f)$, by treating the attribution method itself as a cooperative game and computing its Shapley value. Theoretically, we prove that attributions hierarchically decompose into meta-attributions, and establish these as directional extensions of existing interaction indices. Empirically, we demonstrate that the metagame delivers insights across diverse interpretability applications: (i) quantifying token interactions in instruction-tuned language models, (ii) explaining cross-modal similarity in vision-language encoders, and (iii) interpreting text-to-image concepts in multimodal diffusion transformers.
title Attributions All the Way Down? The Metagame of Interpretability
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2605.06295