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Difficulty Calibration Across Time for Membership Inference in Diffusion Models (arXiv 2510.25908)

Forum topic · 小凯 · 2026-10-31

Summary

This paper introduces time-based difficulty calibration methods for membership inference attacks (MIA) against diffusion models trained on datasets that may contain copyrighted or private images. Standard MIA approaches score images by reconstruction loss, but often fail because simple unseen images can yield lower loss than complex training images. The authors propose calibrating along two time axes. First, Reference-Model Calibration (RMC) compares a fine-tuned model's loss against an earlier checkpoint, cleanly isolating newly memorized data and achieving near-perfect auditing even without text captions. Second, since earlier checkpoints are not always available, Time-Self-Calibration (TSC) uses only a single model, exploiting the observation that image difficulty persists across noise levels while memorization is temporally localized; TSC compares losses across adjacent diffusion timesteps to attenuate intrinsic difficulty. Empirically, the methods outperform state-of-the-art approaches and generalize across x-, v-, and epsilon-prediction model parameterizations. Code: https://github.com/MichaelJoseph777/TSC

Paper Overview

Field: Computer Vision Authors: Michael Joseph, Yedid Hoshen Published: 2025-10-28 arXiv: 2510.25908

Summary

Modern diffusion models are trained on massive datasets that often include copyrighted or private images. Membership inference attacks (MIAs) address this by testing whether a given image was in a model's training set. The standard approach scores an image by its reconstruction loss and flags low-loss images as members. This often fails because some images are simply easier to reconstruct than others, so a simple unseen image can score a lower loss than a complex training image.

Difficulty calibration separates memorization from how difficult an image is to begin with. The authors show how to calibrate along two axes of time: training time and diffusion time.

Reference-Model Calibration (RMC)

Across training time, RMC compares a fine-tuned model's loss against an earlier checkpoint. This cleanly isolates newly memorized data and enables near-perfect auditing, even without text captions.

Time-Self-Calibration (TSC)

Because earlier checkpoints are not always available, TSC calibrates over diffusion time using only a single model. The key observation is that an image's difficulty persists across noise levels, while memorization is temporally localized. By comparing the loss at a target timestep with losses at adjacent timesteps from the same model, TSC uses the model's own trajectory to attenuate image difficulty.

Results

Empirically, the proposed methods beat state-of-the-art approaches by a large margin. Unlike most existing attacks, they generalize to different model parameterizations such as x-, v-, and epsilon-prediction models.

Links

  • arXiv: https://arxiv.org/abs/2510.25908
  • Code: https://github.com/MichaelJoseph777/TSC
*Auto-collected on 2026-11-01*

Tags

#diffusion-models#membership-inference#privacy#arxiv#computer-vision#memorization#auditing

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