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 (ACL 2026)
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/ingest-acl/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 (ACL 2026), 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/ingest-acl/2026.acl-srw.107.pdf