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Label-Noise Robust Diffusion Models
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Proposes Transition-aware weighted Denoising Score Matching (TDSM), which trains conditional diffusion models on noisy labels by weighting clean-label conditional scores with instance- and time-dependent label transition weights estimated from a time-dependent noisy-label classifier.
Problem
Conditional diffusion models trained on datasets with noisy labels learn noisy-label conditional scores, causing condition mismatch and degraded sample quality.
Approach
Shows the noisy-label conditional score is a convex combination of clean-label conditional scores with weights equal to instance- and time-dependent label transition probabilities p_t(Y|Ỹ,x_t); trains the score network against this transition-weighted sum, with weights estimated by a time-dependent noisy-label classifier and a transition matrix.
Key results
- On CIFAR-10 with 40% symmetric noise, TDSM improves CAS from 47.21 (DSM) to 62.28 and CW-FID from 30.45 to 15.92.
- On clean MNIST, TDSM improves density from 86.20 to 88.08 over DSM, suggesting benchmark datasets contain noisy or ambiguous labels.
- On Clothing-1M, TDSM reduces FID from 6.67 to 4.94 and raises CAS from 46.52 to 47.79.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace DSM with TDSM | EDM conditional diffusion model · MNIST, 40% symmetric noise | CAS: 72.52 -> 96.49 | Helped |
| replace DSM with TDSM | EDM conditional diffusion model · CIFAR-10, 40% symmetric noise | CAS: 47.21 -> 62.28 | Helped |
| replace DSM with TDSM | EDM conditional diffusion model · CIFAR-10, 40% symmetric noise | FID: 2.07 -> 2.43 | Hurt |
| replace DSM with TDSM | EDM conditional diffusion model · CIFAR-100, 40% symmetric noise | CAS: 15.41 -> 21.17 | Helped |
| replace DSM with TDSM | EDM conditional diffusion model · CIFAR-100, 40% symmetric noise | FID: 3.36 -> 6.85 | Hurt |
| replace DSM with TDSM | EDM conditional diffusion model · Clothing-1M | FID: 6.67 -> 4.94 | Helped |
| replace DSM with TDSM | EDM conditional diffusion model · Clothing-1M | CAS: 46.52 -> 47.79 | Helped |
| use fixed transition-matrix weights instead of instance- and time-dependent transition-aware weights (ablation) | TDSM on CIFAR-10 · CIFAR-10, 40% symmetric noise | CAS: 62.28 -> 63.46 | Helped |
| estimate the transition matrix with VolMinNet instead of using the given matrix (ablation) | TDSM on CIFAR-10 · CIFAR-10, 40% symmetric noise | FID: 2.43 -> 2.32 | Helped |
| estimate the transition matrix with VolMinNet instead of using the given matrix (ablation) | TDSM on CIFAR-10 · CIFAR-10, 40% symmetric noise | CAS: 62.28 -> 61.37 | Hurt |
Surprising findings
- Even on clean-label benchmarks (MNIST, CIFAR-10, CIFAR-100), the TDSM-trained models outperform DSM in several metrics, which the authors attribute to noisy or ambiguous labels in the benchmark datasets.
- The S-DSM variant with instance- and time-independent transition weights cannot converge to the clean-label score, and it performs worse than full TDSM on most metrics despite strong density scores.
Limitations
- Requires a transition matrix (given or estimated) and assumes class-conditional noise with an invertible transition matrix that is diagonally dominant.
- Training needs a time-dependent noisy-label classifier, and evaluating all class outputs increases time and memory cost.
Experimental setup
Datasets: MNIST CIFAR-10 CIFAR-100 Clothing-1M
Benchmarks: MNIST CIFAR-10 CIFAR-100 Clothing-1M
Metrics: FID IS Density Coverage CW-FID CW-Density CW-Coverage CAS
Baselines: DSM S-DSM rGAN VolMinNet DISC
Builds on: EDM denoising score matching VolMinNet DISC classifier-free guidance
Closest papers by meaning
- Directional Label Diffusion Model for Learning from Noisy Labels (CVPR 2025 · similarity 0.89)
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- Assessing the quality of denoising diffusion models in Wasserstein distance: noisy score and optimal bounds (NeurIPS 2025 · similarity 0.89)
- Denoising Task Difficulty-based Curriculum for Training Diffusion Models (ICLR 2025 · similarity 0.88)
- Stochastic Conditional Diffusion Models for Robust Semantic Image Synthesis (ICML 2024 · similarity 0.88)
- Denoising Diffusion Bridge Models (ICLR 2024 · similarity 0.88)
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