Label Smoothing Improves Gradient Ascent in LLM Unlearning

Fuente: arXiv
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Auteurs principaux: Pang, Zirui, Zheng, Hao, Deng, Zhijie, Li, Ling, Zhong, Zixin, Wei, Jiaheng
Format: Preprint
Publié: 2025
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author Pang, Zirui
Zheng, Hao
Deng, Zhijie
Li, Ling
Zhong, Zixin
Wei, Jiaheng
author_facet Pang, Zirui
Zheng, Hao
Deng, Zhijie
Li, Ling
Zhong, Zixin
Wei, Jiaheng
contents LLM unlearning has emerged as a promising approach, aiming to enable models to forget hazardous/undesired knowledge at low cost while preserving as much model utility as possible. Among existing techniques, the most straightforward method is performing Gradient Ascent (GA) w.r.t. the forget data, thereby forcing the model to unlearn the forget dataset. However, GA suffers from severe instability, as it drives updates in a divergent direction, often resulting in drastically degraded model utility. To address this issue, we propose Smoothed Gradient Ascent (SGA). SGA combines the forget data with multiple constructed normal data through a tunable smoothing rate. Intuitively, this extends GA from learning solely on the forget data to jointly learning across both forget and normal data, enabling more stable unlearning while better preserving model utility. Theoretically, we provide the theoretical guidance on the selection of the optimal smoothing rate. Empirically, we evaluate SGA on three benchmarks: TOFU, Harry Potter, and MUSE-NEWS. Experimental results demonstrate that SGA consistently outperforms the original Gradient Ascent (GA) method across all metrics and achieves top-2 performance among all baseline methods on several key metrics.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22376
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Label Smoothing Improves Gradient Ascent in LLM Unlearning
Pang, Zirui
Zheng, Hao
Deng, Zhijie
Li, Ling
Zhong, Zixin
Wei, Jiaheng
Machine Learning
Computation and Language
LLM unlearning has emerged as a promising approach, aiming to enable models to forget hazardous/undesired knowledge at low cost while preserving as much model utility as possible. Among existing techniques, the most straightforward method is performing Gradient Ascent (GA) w.r.t. the forget data, thereby forcing the model to unlearn the forget dataset. However, GA suffers from severe instability, as it drives updates in a divergent direction, often resulting in drastically degraded model utility. To address this issue, we propose Smoothed Gradient Ascent (SGA). SGA combines the forget data with multiple constructed normal data through a tunable smoothing rate. Intuitively, this extends GA from learning solely on the forget data to jointly learning across both forget and normal data, enabling more stable unlearning while better preserving model utility. Theoretically, we provide the theoretical guidance on the selection of the optimal smoothing rate. Empirically, we evaluate SGA on three benchmarks: TOFU, Harry Potter, and MUSE-NEWS. Experimental results demonstrate that SGA consistently outperforms the original Gradient Ascent (GA) method across all metrics and achieves top-2 performance among all baseline methods on several key metrics.
title Label Smoothing Improves Gradient Ascent in LLM Unlearning
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2510.22376