LyapLock: Bounded Knowledge Preservation in Sequential Large Language Model Editing

Fuente: arXiv
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Autori principali: Wang, Peng, Zhou, Biyu, Tang, Xuehai, Han, Jizhong, Hu, Songlin
Natura: Preprint
Pubblicazione: 2025
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author Wang, Peng
Zhou, Biyu
Tang, Xuehai
Han, Jizhong
Hu, Songlin
author_facet Wang, Peng
Zhou, Biyu
Tang, Xuehai
Han, Jizhong
Hu, Songlin
contents Large Language Models often contain factually incorrect or outdated knowledge, giving rise to model editing methods for precise knowledge updates. However, current mainstream locate-then-edit approaches exhibit a progressive performance decline during sequential editing, due to inadequate mechanisms for long-term knowledge preservation. To tackle this, we model the sequential editing as a constrained stochastic programming. Given the challenges posed by the cumulative preservation error constraint and the gradually revealed editing tasks, \textbf{LyapLock} is proposed. It integrates queuing theory and Lyapunov optimization to decompose the long-term constrained programming into tractable stepwise subproblems for efficient solving. This is the first model editing framework with rigorous theoretical guarantees, achieving asymptotic optimal editing performance while meeting the constraints of long-term knowledge preservation. Experimental results show that our framework scales sequential editing capacity to over 10,000 edits while stabilizing general capabilities and boosting average editing efficacy by 11.89\% over SOTA baselines. Furthermore, it can be leveraged to enhance the performance of baseline methods. Our code is released on https://github.com/caskcsg/LyapLock.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15702
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle LyapLock: Bounded Knowledge Preservation in Sequential Large Language Model Editing
Wang, Peng
Zhou, Biyu
Tang, Xuehai
Han, Jizhong
Hu, Songlin
Computation and Language
Large Language Models often contain factually incorrect or outdated knowledge, giving rise to model editing methods for precise knowledge updates. However, current mainstream locate-then-edit approaches exhibit a progressive performance decline during sequential editing, due to inadequate mechanisms for long-term knowledge preservation. To tackle this, we model the sequential editing as a constrained stochastic programming. Given the challenges posed by the cumulative preservation error constraint and the gradually revealed editing tasks, \textbf{LyapLock} is proposed. It integrates queuing theory and Lyapunov optimization to decompose the long-term constrained programming into tractable stepwise subproblems for efficient solving. This is the first model editing framework with rigorous theoretical guarantees, achieving asymptotic optimal editing performance while meeting the constraints of long-term knowledge preservation. Experimental results show that our framework scales sequential editing capacity to over 10,000 edits while stabilizing general capabilities and boosting average editing efficacy by 11.89\% over SOTA baselines. Furthermore, it can be leveraged to enhance the performance of baseline methods. Our code is released on https://github.com/caskcsg/LyapLock.
title LyapLock: Bounded Knowledge Preservation in Sequential Large Language Model Editing
topic Computation and Language
url https://arxiv.org/abs/2505.15702