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Paper · arXiv

Unmerge: Efficient Machine Unlearning via Task Arithmetic

Approximate machine unlearning seeks to remove the influence of a forget set from a trained model without full retraining. Existing gradient-based methods require data-dependent hyperparameter search, struggle when forget and retain knowledge are entangled, and offer little insight into where unlearning actually happens inside the network. We recast unlearning through the lens of task arithmetic: if finetuning produces a merged task vector $τ_m$ that combines learning on forget and retain sets, unlearning is the inverse operation that subtracts a learned forget component $τ_F$ to recover the retain task vector $τ_R$. The forget signal is concentrated: at every layer, forget activations li...

AuthorsHaoran Tang, Andrew Tan, Rajiv Khanna
Primary categorycs.LG
Published30 September 2026
Last updated at source30 September 2026
cs.LGcs.AI
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