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LLMs struggle with Bayesian reasoning and belief updates, research finds · 4 sources tracked

Recent research indicates that Large Language Models (LLMs) struggle with consistently representing and updating probabilistic beliefs, a crucial capability for decision-making in complex domains. Studies reveal that LLMs often exhibit internal inconsistencies in how they process evidence, with non-Bayesian heuristics sometimes outperforming exact Bayesian updates in downstream tasks. This suggests that LLMs' internal models of the world may be misspecified, leading to epistemic myopia and miscalibration, particularly when dealing with long-tail facts or hidden information. AI

IMPACT Highlights critical limitations in LLM reasoning, potentially impacting their reliability in high-stakes decision-making scenarios.

RANK_REASON Multiple research papers investigating LLM's probabilistic reasoning and belief updating capabilities.

Read on Apple Machine Learning Research →

AI-generated summary · Google Gemini · from 5 sources. How we write summaries →

LLMs struggle with Bayesian reasoning and belief updates, research finds · 4 sources tracked

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Multiple research papers investigating LLM's probabilistic reasoning and belief updating capabilities.
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COVERAGE [5]

  1. Apple Machine Learning Research TIER_1 English(EN) ·

    LLMs Are Not (Consistently) Bayesian: Quantifying Internal (In)consistencies of LLMs’ Probabilistic Beliefs

    Modern AI systems are being deployed in complex domains such as medicine, science, and law, where there is often not a single correct answer given the observed evidence. Such systems must be able to represent and update uncertain beliefs about the world as new evidence arrives to…

  2. arXiv cs.CL TIER_1 English(EN) · Zhuoshi Pan, Junru Lu, Yan Qian, H. Vicky Zhao, Di Yin, Xing Sun ·

    Blind Men and the Elephant: Probing the Epistemic Myopia of LLMs under Long-Tail Divergent Knowledge

    arXiv:2608.28478v1 Announce Type: new Abstract: Factual question answering (QA) typically assumes a single canonical answer, obscuring whether large language models (LLMs) retain divergent accounts of long-tail facts. To address this gap, we introduce ElephantBench, a closed-book…

  3. arXiv cs.CL TIER_1 English(EN) · Alexandru-Iulius Jerpelea ·

    Planting a Latent Variable in Natural-Looking Text: a More Realistic Test of Belief States in LLMs and Their Link to Concept Geometry

    arXiv:2608.26887v1 Announce Type: new Abstract: LLMs are thought to track "belief states," i.e., running probability distributions over the latent variables that govern language (Shai et al., 2024; Sarfati et al., 2026), but so far this has only been comprehensively demonstrated …

  4. Hugging Face Daily Papers TIER_1 English(EN) ·

    Blind Men and the Elephant: Probing the Epistemic Myopia of LLMs under Long-Tail Divergent Knowledge

    ElephantBench evaluates whether large language models retain multiple conflicting accounts of long-tail facts through a graph-based pipeline that creates verifiable multi-account questions, revealing widespread epistemic incompleteness.

  5. Hugging Face Daily Papers TIER_1 English(EN) ·

    Confident at the moment of action: belief miscalibration in LLM play under hidden information

    Agentic systems increasingly gate actions on a model's own stated confidence, which assumes confidence tracks correctness at the moment of acting. We test this in a hidden-information chess variant where royal status can be secretly, repeatedly relocated between pieces, and where…