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Regroup Median Loss for Combating Label Noise
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Proposes Regroup Median Loss (RML), a robust per-sample loss estimator that reweights same-label sample selection and combines group mean losses with a median, plus a semi-supervised variant using MixMatch, for learning with noisy labels.
Problem
Deep models trained on datasets with noisy labels overfit to incorrect annotations; small-loss sample selection still admits noisy samples that look clean, so noisy samples are discarded or misused.
Approach
Process per-sample CE losses (l*(l+eps)) to sharpen selection probabilities toward clean samples, randomly draw same-label samples, split them into groups, and estimate each sample's loss as the median of group mean losses plus its own loss (a Median-of-Means style robust estimator); a momentum model and a agreement-based split enable a MixMatch-based semi-supervised extension.
Key results
- On CIFAR-100 with noisy labels, RML improves test accuracy by about 6% over prior methods without semi-supervised training (e.g., 67.05 vs 50.22 for Joint-Optim at symmetric-0.5).
- On WebVision, RML reaches 73.32% vs 65.24% for Iterative-CV, and the semi-supervised RML-Semi reaches 81.34% vs 79.96% for Sel-CL.
- On Clothing1M, RML-Semi achieves 75.14% vs 74.99% for PES, a 0.15% gain over the best prior semi-supervised method.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add loss processing to RML (ablation) | RML · CIFAR-10 and CIFAR-100 with instance-dependent, symmetric, and pairflip noise | test accuracy (%): CIFAR-10: 88.47 $\pm$ 0.37, 86.73 $\pm$ 0.33, 87.75 $\pm$ 0.71 -> 90.73 $\pm$ 0.44, 89.13 $\pm$ 0.21, 90.14 $\pm$ 0.34; | Helped |
| Add the regroup median operation instead of computing mean selected-sample loss (ablation) | RML · CIFAR-10 and CIFAR-100 with instance-dependent, symmetric, and pairflip noise | test accuracy (%): CIFAR-10: 85.32 $\pm$ 0.54, 83.61 $\pm$ 0.43, 85.77 $\pm$ 0.25 -> 90.73 $\pm$ 0.44, 89.13 $\pm$ 0.21, 90.14 $\pm$ 0.34; | Helped |
| Vary median window size n (ablation) | RML · CIFAR-10 instance, symmetric, and pairflip noise | test accuracy (%): Instance: 87.41$\pm$0.86 (n=2), 90.29$\pm$0.24 (n=4), 90.73$\pm$0.44 (n=6), 90.22$\pm$0.73 (n=8), 89.71$\pm$0.23 (n=10); | Mixed |
| Add the semi-supervised strategy to RML | RML · CIFAR-10 and CIFAR-100 with symmetric, instance, and pairflip noise | test accuracy (%): null | Helped |
| Use RML-Semi instead of the strongest reported baseline | RML-Semi · Clothing1M, WebVision, and ILSVRC12 | test accuracy (%): Clothing1M: 74.99 -> 75.14; WebVision: 79.96 -> 81.34; ILSVRC12: 76.84 -> 77.38 | Helped |
Surprising findings
- Ablation shows that larger window size n slows convergence because the estimated loss becomes smaller, so n=6 was chosen as a trade-off.
Limitations
- Requires several hyperparameters (k, n, epsilon) that vary with noise rate and dataset, e.g., k changes per setting.
- Loss-correction rule and per-epoch loss update are heuristic additions beyond the theoretical estimator.
- Theoretical robustness bound relies on the assumption that less than half of subsets are contaminated, which is not verified in practice.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 Clothing1M WebVision ILSVRC12
Benchmarks: CIFAR-10 CIFAR-100 Clothing1M WebVision ILSVRC12
Metrics: average test accuracy (%)
Baselines: CE Co-teaching Forward Joint-Optim T-revision DMI PES MixUp DivideMix ELR+ UNICON Sel-CL
Builds on: Co-teaching DivideMix MixMatch Median-of-Means
Closest papers by meaning
- Enhanced Sample Selection with Confidence Tracking: Identifying Correctly Labeled Yet Hard-to-Learn Samples in Noisy Data (AAAI 2025 · similarity 0.87)
- Mitigating Label Noise through Data Ambiguation (AAAI 2024 · similarity 0.86)
- Enhancing Robustness of Last Layer Two-Stage Fair Model Corrections (NeurIPS 2024 · similarity 0.86)
- NoiseGPT: Label Noise Detection and Rectification through Probability Curvature (NeurIPS 2024 · similarity 0.85)
- Learning from Noisy Labels via Self-Taught On-the-Fly Meta Loss Rescaling (AAAI 2025 · similarity 0.85)
- Handling Label Noise via Instance-Level Difficulty Modeling and Dynamic Optimization (NeurIPS 2025 · similarity 0.85)
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