A Systematic Comparison of Multilingual Interpretability Methods Reveals Anisotropy-Driven Failures

Oskar Holmström, Marcel Bollmann, Marco Kuhlmann


Abstract
Multilingual language models develop shared cross-lingual representations, and various interpretability methods claim to quantify this sharing. These methods have been developed largely in isolation, and when they disagree, it is unclear whether the disagreement reflects a property of the model or an artifact of the measurement. We compare four sharing metrics—CKA, ANC, GMM dominance per token, and ILO—across 21 base models from five families (125M–14B parameters) and correlate each with cross-lingual transfer on five downstream tasks. We find that the metrics differ in their quantification of cross-lingual sharing in these models and suggest that the disagreement traces to *anisotropy*, the tendency of representations to cluster in a narrow cone of the embedding space. Only ILO’s correlation with cross-lingual transfer (Spearman’s ρ = 0.90) survives controls for model size, family, and per-task variation. We therefore recommend ILO as the primary sharing metric, to be reported alongside anisotropy diagnostics.
Anthology ID:
2026.findings-emnlp.999
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
21115–21164
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.999/
DOI:
10.18653/2026.findings-emnlp.999
Bibkey:
Cite (ACL):
Oskar Holmström, Marcel Bollmann, and Marco Kuhlmann. 2026. A Systematic Comparison of Multilingual Interpretability Methods Reveals Anisotropy-Driven Failures. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 21115–21164, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
A Systematic Comparison of Multilingual Interpretability Methods Reveals Anisotropy-Driven Failures (Holmström et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.999.pdf