CLAIJul 20, 2025

Theoretical Foundations and Mitigation of Hallucination in Large Language Models

arXiv:2507.22915v15 citationsh-index: 2
Originality Synthesis-oriented
AI Analysis

It addresses the critical issue of hallucination in LLMs, which affects reliability and trust in AI applications, by offering a comprehensive theoretical and practical framework, though it is largely incremental in synthesizing existing approaches.

This paper tackles the problem of hallucination in large language models by providing formal definitions, theoretical risk bounds, and practical detection and mitigation strategies, aiming to establish a foundation for quantifying and reducing unfaithful content generation.

Hallucination in Large Language Models (LLMs) refers to the generation of content that is not faithful to the input or the real-world facts. This paper provides a rigorous treatment of hallucination in LLMs, including formal definitions and theoretical analyses. We distinguish between intrinsic and extrinsic hallucinations, and define a \textit{hallucination risk} for models. We derive bounds on this risk using learning-theoretic frameworks (PAC-Bayes and Rademacher complexity). We then survey detection strategies for hallucinations, such as token-level uncertainty estimation, confidence calibration, and attention alignment checks. On the mitigation side, we discuss approaches including retrieval-augmented generation, hallucination-aware fine-tuning, logit calibration, and the incorporation of fact-verification modules. We propose a unified detection and mitigation workflow, illustrated with a diagram, to integrate these strategies. Finally, we outline evaluation protocols for hallucination, recommending datasets, metrics, and experimental setups to quantify and reduce hallucinations. Our work lays a theoretical foundation and practical guidelines for addressing the crucial challenge of hallucination in LLMs.

Foundations

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