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:
- 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)
- PDF:
- https://preview.aclanthology.org/ingest-acl/2026.acl-srw.107.pdf