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Bayesian teaching enables probabilistic reasoning in large language models

Crossref DOI link: https://doi.org/10.1038/s41467-025-67998-6

Published Online: 2026-01-07

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Qiu, Linlu https://orcid.org/0000-0002-1696-5419
Sha, Fei https://orcid.org/0009-0006-1733-5482
Allen, Kelsey

Kim, Yoon

Linzen, Tal https://orcid.org/0000-0003-0435-6912
van Steenkiste, Sjoerd https://orcid.org/0000-0003-4324-3021
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Text and Data Mining valid from 2026-01-07

Version of Record valid from 2026-02-02
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Article History

Received: 8 May 2025

Accepted: 15 December 2025

First Online: 7 January 2026

Competing interests

: The authors declare no competing interests.