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Main Authors: Kalai, Adam Tauman, Nachum, Ofir, Vempala, Santosh S., Zhang, Edwin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.04664
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author Kalai, Adam Tauman
Nachum, Ofir
Vempala, Santosh S.
Zhang, Edwin
author_facet Kalai, Adam Tauman
Nachum, Ofir
Vempala, Santosh S.
Zhang, Edwin
contents Like students facing hard exam questions, large language models sometimes guess when uncertain, producing plausible yet incorrect statements instead of admitting uncertainty. Such "hallucinations" persist even in state-of-the-art systems and undermine trust. We argue that language models hallucinate because the training and evaluation procedures reward guessing over acknowledging uncertainty, and we analyze the statistical causes of hallucinations in the modern training pipeline. Hallucinations need not be mysterious -- they originate simply as errors in binary classification. If incorrect statements cannot be distinguished from facts, then hallucinations in pretrained language models will arise through natural statistical pressures. We then argue that hallucinations persist due to the way most evaluations are graded -- language models are optimized to be good test-takers, and guessing when uncertain improves test performance. This "epidemic" of penalizing uncertain responses can only be addressed through a socio-technical mitigation: modifying the scoring of existing benchmarks that are misaligned but dominate leaderboards, rather than introducing additional hallucination evaluations. This change may steer the field toward more trustworthy AI systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_04664
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Why Language Models Hallucinate
Kalai, Adam Tauman
Nachum, Ofir
Vempala, Santosh S.
Zhang, Edwin
Computation and Language
Like students facing hard exam questions, large language models sometimes guess when uncertain, producing plausible yet incorrect statements instead of admitting uncertainty. Such "hallucinations" persist even in state-of-the-art systems and undermine trust. We argue that language models hallucinate because the training and evaluation procedures reward guessing over acknowledging uncertainty, and we analyze the statistical causes of hallucinations in the modern training pipeline. Hallucinations need not be mysterious -- they originate simply as errors in binary classification. If incorrect statements cannot be distinguished from facts, then hallucinations in pretrained language models will arise through natural statistical pressures. We then argue that hallucinations persist due to the way most evaluations are graded -- language models are optimized to be good test-takers, and guessing when uncertain improves test performance. This "epidemic" of penalizing uncertain responses can only be addressed through a socio-technical mitigation: modifying the scoring of existing benchmarks that are misaligned but dominate leaderboards, rather than introducing additional hallucination evaluations. This change may steer the field toward more trustworthy AI systems.
title Why Language Models Hallucinate
topic Computation and Language
url https://arxiv.org/abs/2509.04664