arXiv:2510.19226cs.LGmath.OC2025-10

提出可调控的梯度翻转方法,实现对模型遗忘过程的精准控制。

Controllable Machine Unlearning via Gradient Pivoting

  • 将遗忘问题重构为多目标优化,通过梯度翻转机制导航帕累托前沿。
  • 仅用一个超参数控制遗忘强度,可生成更优且多样化的遗忘结果。
  • 适用于需要精细调节数据影响的场景,如隐私保护与模型合规性。

机器遗忘(MU)旨在消除特定数据对训练模型的影响。然而,现有近似遗忘方法通常被建模为单目标优化(SOO),面临遗忘效果与模型保真度之间的显著权衡,导致三大挑战:过度遗忘风险、遗忘过程缺乏细粒度控制,以及缺乏全面评估该权衡的指标。为此,我们重新将MU建模为多目标优化(MOO)问题,并提出一种新算法——基于梯度翻转的可控遗忘(CUP)。其独特的翻转机制不收敛于单一解,而是可调控地遍历整个帕累托前沿。该过程由一个直观的超参数‘遗忘强度’控制,实现对遗忘-保真度权衡的精确选择。为评估能力,我们采用超体积指标(hypervolume indicator),衡量算法生成解集的质量与多样性。实验表明,CUP在多种视觉任务中持续优于现有方法,生成更优的帕累托最优解集。

原文摘要 · Abstract (English)

Machine unlearning (MU) aims to remove the influence of specific data from a trained model. However, approximate unlearning methods, often formulated as a single-objective optimization (SOO) problem, face a critical trade-off between unlearning efficacy and model fidelity. This leads to three primary challenges: the risk of over-forgetting, a lack of fine-grained control over the unlearning process, and the absence of metrics to holistically evaluate the trade-off. To address these issues, we reframe MU as a multi-objective optimization (MOO) problem. We then introduce a novel algorithm, Controllable Unlearning by Pivoting Gradient (CUP), which features a unique pivoting mechanism. Unlike traditional MOO methods that converge to a single solution, CUP's mechanism is designed to controllably navigate the entire Pareto frontier. This navigation is governed by a single intuitive hyperparameter, the `unlearning intensity', which allows for precise selection of a desired trade-off. To evaluate this capability, we adopt the hypervolume indicator, a metric that captures both the quality and diversity of the entire set of solutions an algorithm can generate. Our experimental results demonstrate that CUP produces a superior set of Pareto-optimal solutions, consistently outperforming existing methods across various vision tasks.

机器遗忘多目标优化可控性

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