arXiv AI By Bingqing Liu, Wei Liu, Jun Wang, Xiaobo Sun, Yuhua Li, Ruixuan Li

Editing Large Language Models with Geometry-Aware Regularization

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The paper introduces GEdit, a geometry-aware framework for editing large language models that leverages a Low-Rank Plus Diagonal factor model to capture the low-rank structure of Transformer FFN hidden representations. GEdit applies low‑rank regularization to protect core knowledge and adaptive regularization to adjust constraints based on the difficulty of each edit, allowing harder edits to succeed while preserving easier ones. Experiments on GPT2‑XL, GPT‑J, and LLaMA‑3‑8B with up to 10,000 continuous updates demonstrate that GEdit outperforms state‑of‑the‑art baselines in both editing success and knowledge preservation.

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