Is Gradient Ascent Really Necessary? Memorize to Forget for Machine Unlearning

Fuente: arXiv
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Main Authors: Huang, Zhuo, Wang, Qizhou, Hong, Ziming, Ye, Shanshan, Han, Bo, Liu, Tongliang
Format: Preprint
Published: 2026
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_version_ 1866918325794111488
author Huang, Zhuo
Wang, Qizhou
Hong, Ziming
Ye, Shanshan
Han, Bo
Liu, Tongliang
author_facet Huang, Zhuo
Wang, Qizhou
Hong, Ziming
Ye, Shanshan
Han, Bo
Liu, Tongliang
contents For ethical and safe AI, machine unlearning rises as a critical topic aiming to protect sensitive, private, and copyrighted knowledge from misuse. To achieve this goal, it is common to conduct gradient ascent (GA) to reverse the training on undesired data. However, such a reversal is prone to catastrophic collapse, which leads to serious performance degradation in general tasks. As a solution, we propose model extrapolation as an alternative to GA, which reaches the counterpart direction in the hypothesis space from one model given another reference model. Therefore, we leverage the original model as the reference, further train it to memorize undesired data while keeping prediction consistency on the rest retained data, to obtain a memorization model. Counterfactual as it might sound, a forget model can be obtained via extrapolation from the memorization model to the reference model. Hence, we avoid directly acquiring the forget model using GA, but proceed with gradient descent for the memorization model, which successfully stabilizes the machine unlearning process. Our model extrapolation is simple and efficient to implement, and it can also effectively converge throughout training to achieve improved unlearning performance.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06441
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Is Gradient Ascent Really Necessary? Memorize to Forget for Machine Unlearning
Huang, Zhuo
Wang, Qizhou
Hong, Ziming
Ye, Shanshan
Han, Bo
Liu, Tongliang
Machine Learning
For ethical and safe AI, machine unlearning rises as a critical topic aiming to protect sensitive, private, and copyrighted knowledge from misuse. To achieve this goal, it is common to conduct gradient ascent (GA) to reverse the training on undesired data. However, such a reversal is prone to catastrophic collapse, which leads to serious performance degradation in general tasks. As a solution, we propose model extrapolation as an alternative to GA, which reaches the counterpart direction in the hypothesis space from one model given another reference model. Therefore, we leverage the original model as the reference, further train it to memorize undesired data while keeping prediction consistency on the rest retained data, to obtain a memorization model. Counterfactual as it might sound, a forget model can be obtained via extrapolation from the memorization model to the reference model. Hence, we avoid directly acquiring the forget model using GA, but proceed with gradient descent for the memorization model, which successfully stabilizes the machine unlearning process. Our model extrapolation is simple and efficient to implement, and it can also effectively converge throughout training to achieve improved unlearning performance.
title Is Gradient Ascent Really Necessary? Memorize to Forget for Machine Unlearning
topic Machine Learning
url https://arxiv.org/abs/2602.06441