CertDW: Towards Certified Dataset Ownership Verification via Conformal Prediction

TL;DR

This paper introduces CertDW, a certified dataset watermarking method that reliably verifies dataset ownership even under malicious attacks by using conformal prediction-based statistical measures.

Contribution

It presents the first certified dataset watermarking approach that ensures robust ownership verification against perturbations and attacks, based on statistical measures derived from conformal prediction.

Findings

CertDW effectively verifies dataset ownership under various perturbations.

The method demonstrates robustness against adaptive attacks in experiments.

It establishes a provable lower bound between statistical measures for verification.

Abstract

Deep neural networks (DNNs) rely heavily on high-quality open-source datasets (e.g., ImageNet) for their success, making dataset ownership verification (DOV) crucial for protecting public dataset copyrights. In this paper, we find existing DOV methods (implicitly) assume that the verification process is faithful, where the suspicious model will directly verify ownership by using the verification samples as input and returning their results. However, this assumption may not necessarily hold in practice and their performance may degrade sharply when subjected to intentional or unintentional perturbations. To address this limitation, we propose the first certified dataset watermark (i.e., CertDW) and CertDW-based certified dataset ownership verification method that ensures reliable verification even under malicious attacks, under certain conditions (e.g., constrained pixel-level perturbation). Specifically, inspired by conformal prediction, we introduce two statistical measures, including principal probability (PP) and watermark robustness (WR), to assess model prediction stability on benign and watermarked samples under noise perturbations. We prove there exists a provable lower bound between PP and WR, enabling ownership verification when a suspicious model's WR value significantly exceeds the PP values of multiple benign models trained on watermark-free datasets. If the number of PP values smaller than WR exceeds a threshold, the suspicious model is regarded as having been trained on the protected dataset. Extensive experiments on benchmark datasets verify the effectiveness of our CertDW method and its resistance to potential adaptive attacks. Our codes are at \href{https://github.com/NcepuQiaoTing/CertDW}{GitHub}.