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Membership Inference Attacks Cannot Prove that a Model Was Trained On Your Data

2024/09/29 by Jie Zhang, Debeshee Das, Zhang, Jie +5 · 1 voice · 22 citations
Computer Science · Decision Sciences · #Cryptography and Security (cs.CR) #Data Quality and Management #FOS: Computer and information sciences #Machine Learning (cs.LG) #Scientific Computing and Data Management #cs.CR #cs.LG

paper · pdf · doi:10.48550/arxiv.2409.19798

openalex publication_date 2024/09/29 · arxiv published 2024/09/29 · arxiv updated 2025/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the problem of a training data proof, where a data creator or owner wants to demonstrate to a third party that some machine learning model was trained on their data. Training data proofs play a key role in recent lawsuits against foundation models trained on web-scale data. Many prior works suggest to instantiate training data proofs using membership inference attacks. We argue that this approach is fundamentally unsound: to provide convincing evidence, the data creator needs to demonstrate that their attack has a low false positive rate, i.e., that the attack's output is unlikely under the null hypothesis that the model was not trained on the target data. Yet, sampling from this null hypothesis is impossible, as we do not know the exact contents of the training set, nor can we (efficiently) retrain a large foundation model. We conclude by offering two paths forward, by showing that data extraction attacks and membership inference on special canary data can be used to create sound training data proofs.

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