Are LLM Belief Updates Consistent with Bayes' Theorem?

Fuente: arXiv
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Autori principali: Imran, Sohaib, Kendiukhov, Ihor, Broerman, Matthew, Thomas, Aditya, Campanella, Riccardo, Lamb, Rob, Atkinson, Peter M.
Natura: Preprint
Pubblicazione: 2025
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author Imran, Sohaib
Kendiukhov, Ihor
Broerman, Matthew
Thomas, Aditya
Campanella, Riccardo
Lamb, Rob
Atkinson, Peter M.
author_facet Imran, Sohaib
Kendiukhov, Ihor
Broerman, Matthew
Thomas, Aditya
Campanella, Riccardo
Lamb, Rob
Atkinson, Peter M.
contents Do larger and more capable language models learn to update their "beliefs" about propositions more consistently with Bayes' theorem when presented with evidence in-context? To test this, we formulate a Bayesian Coherence Coefficient (BCC) metric and generate a dataset with which to measure the BCC. We measure BCC for multiple pre-trained-only language models across five model families, comparing against the number of model parameters, the amount of training data, and model scores on common benchmarks. Our results provide evidence for our hypothesis that larger and more capable pre-trained language models assign credences that are more coherent with Bayes' theorem. These results have important implications for our understanding and governance of LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17951
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Are LLM Belief Updates Consistent with Bayes' Theorem?
Imran, Sohaib
Kendiukhov, Ihor
Broerman, Matthew
Thomas, Aditya
Campanella, Riccardo
Lamb, Rob
Atkinson, Peter M.
Computation and Language
Artificial Intelligence
Do larger and more capable language models learn to update their "beliefs" about propositions more consistently with Bayes' theorem when presented with evidence in-context? To test this, we formulate a Bayesian Coherence Coefficient (BCC) metric and generate a dataset with which to measure the BCC. We measure BCC for multiple pre-trained-only language models across five model families, comparing against the number of model parameters, the amount of training data, and model scores on common benchmarks. Our results provide evidence for our hypothesis that larger and more capable pre-trained language models assign credences that are more coherent with Bayes' theorem. These results have important implications for our understanding and governance of LLMs.
title Are LLM Belief Updates Consistent with Bayes' Theorem?
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2507.17951