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基于动态系统预测的低成本黑盒 LLM 幻觉检测
arXiv 论文提出把 LLM 当作黑盒动力系统:先用嵌入模型将模型回复投影到高维流形,把向量序列视为潜在状态空间动力学的可观测实现,再借助 Koopman 算子理论分别拟合事实与幻觉两种状态的转移算子,以两者预测误差构成的差分残差分数作为判别依据。该方法只需单次采样即可完成检测,无需二次采样一致性检查或外部知识检索。作者称在三个数据基准上取得 SOTA 表现并降低资源开销,但摘要未披露具体数据集、指标数值与对比基线。
AI推荐理由 arXiv 论文(v2,2026-09-25 修订),提出将 LLM 视为黑盒动力系统、用 Koopman 算子理论拟合事实与幻觉两种状态的转移算子,并以差分残差分数实现单次采样即可检测幻觉,声称在三个基准上达到 SOTA 且降低资源开销。新意在于免二次采样与外部检索的低成本黑盒检测路径,对 LLM 可靠性与部署有实际价值;但摘要未给出具体数据集名称、指标数值与对比基线,'SOTA'与'降低开销'缺乏可核验细节,需读全文确认。
72
正文
Computer Science > Machine Learning
arXiv:2605.05134 (cs)
[Submitted on 6 May 2026 (v1), last revised 25 Sep 2026 (this version, v2)]
Title:Low-Cost Black-Box Detection of LLM Hallucinations via Dynamical System Prediction
Authors:Dan Wilson, Mohamed Akrout
View a PDF of the paper titled Low-Cost Black-Box Detection of LLM Hallucinations via Dynamical System Prediction, by Dan Wilson and 1 other authors
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Abstract:Large Language Models (LLMs) frequently generate plausible but non-factual content, a phenomenon known as hallucination. While existing detection methods typically rely on computationally expensive sampling-based consistency checks or external knowledge retrieval, we propose a new method that treats the LLM as a black-box dynamical system. By projecting LLM responses into a high-dimensional manifold via an embedding model, we characterize the resulting vector sequences as observable realizations of the model's latent state-space dynamics. Leveraging Koopman operator theory, we fit the transition operators for both factual and hallucinated regimes and define a differential residual score based on their respective prediction errors. This approach enables low-cost hallucination detection in a single-sample pass, avoiding the need for secondary sampling or external grounding. Extensive testing across three data benchmarks demonstrates that our method achieves state-of-the-art performance with reduced resource overhead.
Subjects:
Machine Learning (cs.LG); Dynamical Systems (math.DS)
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arXiv:2605.05134 [cs.LG]
(or
arXiv:2605.05134v2 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2605.05134
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arXiv-issued DOI via DataCite
Submission history
From: Mohamed Akrout [view email]
[v1]
Wed, 6 May 2026 17:07:29 UTC (1,369 KB)
[v2]
Fri, 25 Sep 2026 16:31:10 UTC (1,059 KB)
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