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Large language models (LLMs) have demonstrated strong mathematical reasoning capabilities but remain susceptible to hallucinations producing plausible yet incorrect statements especially in theorem proving, symbolic manipulation, and…

Artificial Intelligence · Computer Science 2025-06-23 MingShan Liu , Jialing Fang

When reading long-form text, human cognition is complex and structurized. While large language models (LLMs) process input contexts through a causal and sequential perspective, this approach can potentially limit their ability to handle…

Computation and Language · Computer Science 2024-11-01 Kai Liu , Zhihang Fu , Chao Chen , Wei Zhang , Rongxin Jiang , Fan Zhou , Yaowu Chen , Yue Wu , Jieping Ye

Large language models (LLMs) frequently hallucinate and produce factual errors, yet our understanding of why they make these errors remains limited. In this study, we delve into the underlying mechanisms of LLM hallucinations from the…

Computation and Language · Computer Science 2024-03-13 Shiqi Chen , Miao Xiong , Junteng Liu , Zhengxuan Wu , Teng Xiao , Siyang Gao , Junxian He

OpenAI has recently argued that hallucinations in large language models result primarily from misaligned evaluation incentives that reward confident guessing rather than epistemic humility. On this view, hallucination is a contingent…

Computation and Language · Computer Science 2025-12-18 Richard Ackermann , Simeon Emanuilov

Going beyond mimicking limited human experiences, recent studies show initial evidence that, like humans, large language models (LLMs) are capable of improving their abilities purely by self-correction, i.e., correcting previous responses…

Machine Learning · Computer Science 2024-11-19 Yifei Wang , Yuyang Wu , Zeming Wei , Stefanie Jegelka , Yisen Wang

LLM deployment in critical domains is currently impeded by persistent hallucinations--generating plausible but factually incorrect assertions. While scaling laws drove significant improvements in general capabilities, theoretical frameworks…

Machine Learning · Computer Science 2026-01-29 Jiayun Wu , Jiashuo Liu , Zhiyuan Zeng , Tianyang Zhan , Tianle Cai , Wenhao Huang

Large Language Models (LLMs) are able to improve their responses when instructed to do so, a capability known as self-correction. When instructions provide only the task's goal without specific details about potential issues in the…

Computation and Language · Computer Science 2024-11-11 Guangliang Liu , Haitao Mao , Bochuan Cao , Zhiyu Xue , Xitong Zhang , Rongrong Wang , Jiliang Tang , Kristen Johnson

Recent work reports that Large Reasoning Models (LRMs) undergo a collapse in performance on solving puzzles beyond certain perplexity thresholds. In subsequent discourse, questions have arisen as to whether the nature of the task muddles an…

Artificial Intelligence · Computer Science 2025-10-21 Chris Su , Harrison Li , Matheus Marques , George Flint , Kevin Zhu , Sunishchal Dev

The reflection capacity of Large Language Model (LLM) has garnered extensive attention. A post-hoc prompting strategy, e.g., reflexion and self-refine, refines LLM's response based on self-evaluated or external feedback. However, recent…

Computation and Language · Computer Science 2024-06-10 Wenqi Zhang , Yongliang Shen , Linjuan Wu , Qiuying Peng , Jun Wang , Yueting Zhuang , Weiming Lu

The hallucination issue is recognized as a fundamental deficiency of large language models (LLMs), especially when applied to fields such as finance, education, and law. Despite the growing concerns, there has been a lack of empirical…

Computation and Language · Computer Science 2023-11-28 Haoqiang Kang , Xiao-Yang Liu

Prior works have shown that fine-tuning on new knowledge can induce factual hallucinations in large language models (LLMs), leading to incorrect outputs when evaluated on previously known information. However, the specific manifestations of…

Computation and Language · Computer Science 2026-04-20 Renfei Dang , Peng Hu , Zhejian Lai , Changjiang Gao , Min Zhang , Shujian Huang

Pretrained Large Language Models (LLMs) are prone to generating fluent yet factually incorrect text-a phenomenon known as hallucinations, undermining their reliability and utility in downstream tasks. We hypothesize that a generated text…

Computation and Language · Computer Science 2026-03-10 Koduvayur Subbalakshmi , Sabbir Hossain Ujjal , Venkata Krishna Teja Mangichetty , Nastaran Jamalipour Soofi

Large language models (LLMs) have transformed natural language processing, achieving remarkable performance across diverse tasks. However, their impressive fluency often comes at the cost of producing false or fabricated information, a…

Computation and Language · Computer Science 2026-03-20 Aisha Alansari , Hamzah Luqman

This paper investigates how hallucination rates in Large Language Models (LLMs) may be controlled via a symbolic data generation framework, exploring a fundamental relationship between the rate of certain mathematical errors and types of…

Computation and Language · Computer Science 2025-01-14 Jordan Meadows , Marco Valentino , Andre Freitas

Large Language Models (LLMs) have become increasingly important in natural language processing, enabling advanced data analytics through natural language queries. However, these models often generate "hallucinations"-inaccurate or…

Computation and Language · Computer Science 2024-10-29 Mikhail Rumiantsau , Aliaksei Vertsel , Ilya Hrytsuk , Isaiah Ballah

Recent studies suggest that self-reflective prompting can significantly enhance the reasoning capabilities of Large Language Models (LLMs). However, the use of external feedback as a stop criterion raises doubts about the true extent of…

Computation and Language · Computer Science 2024-04-16 Yanhong Li , Chenghao Yang , Allyson Ettinger

The hallucination problem of Large Language Models (LLMs) significantly limits their reliability and trustworthiness. Humans have a self-awareness process that allows us to recognize what we don't know when faced with queries. Inspired by…

Computation and Language · Computer Science 2024-10-01 Ziwei Ji , Delong Chen , Etsuko Ishii , Samuel Cahyawijaya , Yejin Bang , Bryan Wilie , Pascale Fung

Large language models (LLMs) frequently generate confident yet inaccurate responses, introducing significant risks for deployment in safety-critical domains. We present a novel, test-time approach to detecting model hallucination through…

Machine Learning · Computer Science 2025-10-07 Hazel Kim , Tom A. Lamb , Adel Bibi , Philip Torr , Yarin Gal

Large Language Models (LLMs) demonstrate strong mathematical problem-solving abilities but frequently fail on problems that deviate syntactically from their training distribution. We identify a systematic failure mode, syntactic blind…

Computation and Language · Computer Science 2025-10-03 Dane Williamson , Yangfeng Ji , Matthew Dwyer

Large language models are known to hallucinate when faced with unfamiliar queries, but the underlying mechanism that govern how models hallucinate are not yet fully understood. In this work, we find that unfamiliar examples in the models'…

Machine Learning · Computer Science 2024-05-30 Katie Kang , Eric Wallace , Claire Tomlin , Aviral Kumar , Sergey Levine