Randomized Antipodal Search Done Right for Data Pareto Improvement of LLM Unlearning

Fuente: arXiv
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Autori principali: Liu, Ziwen, Lin, Huawei, Ran, Yide, Zhang, Denghui, Xie, Jianwen, Li, Chuan, Zhao, Weijie, Xu, Zhaozhuo
Natura: Preprint
Pubblicazione: 2026
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author Liu, Ziwen
Lin, Huawei
Ran, Yide
Zhang, Denghui
Xie, Jianwen
Li, Chuan
Zhao, Weijie
Xu, Zhaozhuo
author_facet Liu, Ziwen
Lin, Huawei
Ran, Yide
Zhang, Denghui
Xie, Jianwen
Li, Chuan
Zhao, Weijie
Xu, Zhaozhuo
contents Large language models (LLMs) sometimes memorize undesirable knowledge, which must be removed after deployment. Prior work on machine unlearning has focused largely on optimization methods that adjust parameters to enforce forgetting while preserving retention. However, these approaches assume that the forget and retain sets are readily available, which rarely holds in practice. Unlearning is typically triggered by an undesired generation at inference time, making the retrieval of relevant data the central challenge. We introduce the notion of data Pareto improvement for LLM unlearning, which formalizes how retrieval can expand the achievable trade-off frontier between forgetting and retention. To realize this principle, we propose Randomized Antipodal Search on Linearized Influence Kernel (RASLIK), a retrieval algorithm that combines permutation-projection hashing with randomized antipodal search. RASLIK reduces selection variance, achieves sublinear complexity, and yields a double gain in both quality and efficiency. Across multiple models, datasets, and unlearning algorithms, RASLIK consistently outperforms deterministic baselines and even oracle sampling, establishing randomized search as a principled and scalable solution for data-centric unlearning.
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id arxiv_https___arxiv_org_abs_2604_16591
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Randomized Antipodal Search Done Right for Data Pareto Improvement of LLM Unlearning
Liu, Ziwen
Lin, Huawei
Ran, Yide
Zhang, Denghui
Xie, Jianwen
Li, Chuan
Zhao, Weijie
Xu, Zhaozhuo
Machine Learning
Artificial Intelligence
Large language models (LLMs) sometimes memorize undesirable knowledge, which must be removed after deployment. Prior work on machine unlearning has focused largely on optimization methods that adjust parameters to enforce forgetting while preserving retention. However, these approaches assume that the forget and retain sets are readily available, which rarely holds in practice. Unlearning is typically triggered by an undesired generation at inference time, making the retrieval of relevant data the central challenge. We introduce the notion of data Pareto improvement for LLM unlearning, which formalizes how retrieval can expand the achievable trade-off frontier between forgetting and retention. To realize this principle, we propose Randomized Antipodal Search on Linearized Influence Kernel (RASLIK), a retrieval algorithm that combines permutation-projection hashing with randomized antipodal search. RASLIK reduces selection variance, achieves sublinear complexity, and yields a double gain in both quality and efficiency. Across multiple models, datasets, and unlearning algorithms, RASLIK consistently outperforms deterministic baselines and even oracle sampling, establishing randomized search as a principled and scalable solution for data-centric unlearning.
title Randomized Antipodal Search Done Right for Data Pareto Improvement of LLM Unlearning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2604.16591