LLM Parameters for Math Across Languages: Shared or Separate?

Behzad Shomali, Luisa Victor, Tim Selbach, Ali Hamza Bashir, David Berghaus, Joachim Koehler, Mehdi Ali, Markus Frey


Abstract
Large language models (LLMs) exhibit substantial cross-lingual variation in mathematical reasoning performance, but it remains unclear whether these differences reflect language-specific parameters or a shared mechanism that manifests differently by language. We present a cross-lingual mechanistic analysis of mathematical reasoning in LLMs, enabling us to localize and compare model parameters that support mathematical reasoning across languages. We find that the extracted math-associated parameters exhibit partial cross-lingual overlap, with the strongest overlap concentrated in intermediate model layers.We further observe that English consistently produces the largest set of math-relevant parameters, whereas lower-resource languages reveal smaller sets of relevant parameters. These results suggest that math-related behavior in multilingual LLMs is neither fully language-invariant nor fully language-specific, but instead exhibits partial cross-lingual parameter overlap with systematic language-dependent differences.
Anthology ID:
2026.acl-srw.107
Volume:
Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 4: Student Research Workshop)
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Santosh T.Y.S.S., Juan Diego Rodriguez, Ona de Gibert
Venue:
ACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
1212–1235
Language:
URL:
https://preview.aclanthology.org/ingestion-form-platform/2026.acl-srw.107/
DOI:
Bibkey:
Cite (ACL):
Behzad Shomali, Luisa Victor, Tim Selbach, Ali Hamza Bashir, David Berghaus, Joachim Koehler, Mehdi Ali, and Markus Frey. 2026. LLM Parameters for Math Across Languages: Shared or Separate?. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 4: Student Research Workshop), pages 1212–1235, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
LLM Parameters for Math Across Languages: Shared or Separate? (Shomali et al., ACL 2026)
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PDF:
https://preview.aclanthology.org/ingestion-form-platform/2026.acl-srw.107.pdf