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SAUL: Sharpness-Aware Augmented-Lagrangian Unlearning

Machine unlearning in Large Language Models (LLMs) faces a critical trade-off between erasing target knowledge and preserving general utility. We propose SAUL (Sharpness-Aware Augmented-Lagrangian Unlearning), which formulates unlearning as a constrained minimization problem following the principle of "forget enough, but no more than necessary." At its core, SAUL formulates forgetting as an explicit constraint with a prescribed satisfaction criterion, whereas prior unlearning methods typically specify the desired level of forgetting implicitly through optimization objectives. An augmented Lagrangian controller adaptively adjusts forget-side pressure according to constraint violation and c...

AuthorsJaewan Choi, Junyoung Yang, Sangdon Park
Primary categorycs.LG
Published17 August 2026
Last updated at source17 August 2026
cs.LG
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