Localizing Memorized Regions in Diffusion Models via Coordinate-Wise Curvature Differences
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Computer Science > Machine Learning
Title:Localizing Memorized Regions in Diffusion Models via Coordinate-Wise Curvature Differences
Abstract:Diffusion models can unintentionally memorize training samples, raising concerns about privacy and copyright. While recent methods can detect memorization, they often rely on global or model-specific signals and provide limited insight into where memorization appears within a generated image. We provide a geometric characterization of local memorization as a coordinate-wise variance collapse. However, such collapse can also arise from intrinsic data constraints rather than overfitting. To isolate overfitting-driven memorization, we propose curvature-difference methods that subtract the curvature of an underfitted baseline, either the unconditional model or a less-trained version of itself. We further derive a score-difference proxy that provides a geometric explanation for the widely used score-difference-based detection metric. Experiments on Stable Diffusion, evaluated against ground-truth memorization masks, show that our method outperforms the prior attention-based localization method. Code is available at this https URL.
| Comments: | ICML 2026 |
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | arXiv:2605.26756 [cs.LG] |
| (or arXiv:2605.26756v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.26756
arXiv-issued DOI via DataCite (pending registration)
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