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Main Authors: Sun, Jialong, Wei, Zeming, Zou, Jiaxuan, Gong, Jiacheng, Fu, Jie, Dong, Chengyang, Xu, Heng, Li, Jialong, Liu, Bo
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.01150
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author Sun, Jialong
Wei, Zeming
Zou, Jiaxuan
Gong, Jiacheng
Fu, Jie
Dong, Chengyang
Xu, Heng
Li, Jialong
Liu, Bo
author_facet Sun, Jialong
Wei, Zeming
Zou, Jiaxuan
Gong, Jiacheng
Fu, Jie
Dong, Chengyang
Xu, Heng
Li, Jialong
Liu, Bo
contents Machine unlearning (MU) is essential for enforcing the right to be forgotten in machine learning systems. A key challenge of MU is how to reliably audit whether a model has truly forgotten specified training data. Membership Inference Attacks (MIAs) are widely used for unlearned model auditing, where samples that evade membership detection are regarded as successfully forgotten. We show this assumption is fundamentally flawed: failed membership inference does not imply true forgetting. We prove that unlearned samples occupy fundamentally different positions in the feature space than non-member samples, making this alignment bias unavoidable and unobservable, which leads to systematically optimistic evaluations of unlearning performance. Meanwhile, training shadow models for MIA incurs substantial computational overhead. To address both limitations, we propose Statistical Membership Inference (SMI), a training-free auditing framework that reformulates auditing as estimating the non-member mixture proportion in the unlearned feature distribution. Beyond estimating the forgetting rate, SMI also provides bootstrap reference ranges for quantified auditing reliability. Extensive experiments show that SMI consistently outperforms all MIA-based baselines, with no shadow model training required. Overall, SMI establishes a principled and efficient alternative to MIA-based auditing methods, with both theoretical guarantees and strong empirical performance.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01150
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle SMI: Statistical Membership Inference for Reliable Unlearned Model Auditing
Sun, Jialong
Wei, Zeming
Zou, Jiaxuan
Gong, Jiacheng
Fu, Jie
Dong, Chengyang
Xu, Heng
Li, Jialong
Liu, Bo
Machine Learning
Artificial Intelligence
Cryptography and Security
Computer Vision and Pattern Recognition
Optimization and Control
Machine unlearning (MU) is essential for enforcing the right to be forgotten in machine learning systems. A key challenge of MU is how to reliably audit whether a model has truly forgotten specified training data. Membership Inference Attacks (MIAs) are widely used for unlearned model auditing, where samples that evade membership detection are regarded as successfully forgotten. We show this assumption is fundamentally flawed: failed membership inference does not imply true forgetting. We prove that unlearned samples occupy fundamentally different positions in the feature space than non-member samples, making this alignment bias unavoidable and unobservable, which leads to systematically optimistic evaluations of unlearning performance. Meanwhile, training shadow models for MIA incurs substantial computational overhead. To address both limitations, we propose Statistical Membership Inference (SMI), a training-free auditing framework that reformulates auditing as estimating the non-member mixture proportion in the unlearned feature distribution. Beyond estimating the forgetting rate, SMI also provides bootstrap reference ranges for quantified auditing reliability. Extensive experiments show that SMI consistently outperforms all MIA-based baselines, with no shadow model training required. Overall, SMI establishes a principled and efficient alternative to MIA-based auditing methods, with both theoretical guarantees and strong empirical performance.
title SMI: Statistical Membership Inference for Reliable Unlearned Model Auditing
topic Machine Learning
Artificial Intelligence
Cryptography and Security
Computer Vision and Pattern Recognition
Optimization and Control
url https://arxiv.org/abs/2602.01150