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Learning Imbalanced Data with Beneficial Label Noise
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Proposes Label-Noise-based Re-balancing (LNR), which flips a subset of majority-class labels to the minority class using an asymmetric, instance-dependent noise model derived from classifier posteriors, to correct biased decision boundaries under class imbalance.
Problem
Class imbalance biases Bayesian and F1-optimal decision boundaries toward the minority class, and existing data-level methods (resampling, generative augmentation) cause information loss or generative errors.
Approach
Theoretically show that imbalance ratio shifts the accuracy-optimal boundary, then add asymmetric instance-dependent label noise that flips only majority samples near the boundary to the minority class, shifting the boundary back and raising minority-class F1/G-mean without adding or removing samples; the noise rate uses z-scored posteriors from any classifier, with a deferred schedule for multi-c
Key results
- On step-wise CIFAR-10, GCL+LNR reaches 72.22% AccMI vs 56.78% for GCL; LDAM+LNR gets 75.06% vs 66.41% for LDAM.
- On long-tailed CIFAR-100, MiSLAS+LNR achieves 48.52% overall accuracy, above MiSLAS+SelMix(10k) at 47.43%, with Few-shot accuracy 35.34% vs 25.10%.
- LNR achieves the highest average relative ranking across 32 KEEL datasets for KNN, CART and MLP in both F1 and G-mean; on imbalanced MNIST (IR=200), accuracy rose from 89.93% to 94.75%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add LNR to LDAM | LDAM · Step-wise CIFAR-10 | AccMI: 66.41±0.2 -> 75.06±0.09 | Helped |
| Add LNR to GCL | GCL · Step-wise CIFAR-10 | AccMI: 56.78±0.08 -> 72.22±0.05 | Helped |
| Add LNR to LDAM | LDAM · Step-wise CIFAR-100 | AccMI: 19.80±0.02 -> 25.84±0.06 | Helped |
| Add LNR to GCL | GCL · Step-wise CIFAR-100 | AccMI: 5.48 ±0.03 -> 26.48±0.03 | Helped |
| Add LNR to LDAM | LDAM · Long-tailed CIFAR-10 | Few-shot accuracy: 75.01±0.1 -> 79.83±0.1 | Helped |
| Add LNR to GCL | GCL · Long-tailed CIFAR-10 | Few-shot accuracy: 70.08±0.2 -> 77.60±0.2 | Helped |
| Add LNR to MiSLAS | MiSLAS · Long-tailed CIFAR-10 | Few-shot accuracy: 75.72±0.19 -> 86.07±0.19 | Helped |
| Add LNR to MiSLAS | MiSLAS · Long-tailed CIFAR-100 | Few-shot accuracy: 26.07±0.12 -> 35.34±0.21 | Helped |
| Add LNR to MiSLAS | MiSLAS · Long-tailed CIFAR-100 | Overall accuracy: 46.85±0.09 -> 48.52 ±0.12 | Helped |
| Add LNR to MiSLAS | MiSLAS · Long-tailed CIFAR-10 | Many-shot accuracy: 91.00±0.14 -> 84.62±0.22 | Hurt |
| Add LNR to MiSLAS | MiSLAS · Long-tailed CIFAR-100 | Many-shot accuracy: 62.05±0.09 -> 56.26±0.24 | Hurt |
| Add LNR to MiSLAS | MiSLAS · CIFAR-10 | ECE: 3.70 -> 5.16 | Hurt |
Surprising findings
- LNR flips only a small number of labels (e.g., 44 and 65 noisy labels on CIFAR-10/100-LT) yet yields large minority-class gains.
- On long-tailed CIFAR-100, LNR reduces Many-shot accuracy for GCL+LNR (67.16 to 57.11) while raising few-shot accuracy.
Limitations
- Theory covers binary classification with Gaussian-style examples; the multi-class extension is heuristic.
- Calibration (ECE) degrades for LNR on CIFAR-100 (9.55 vs 5.43 for MiSLAS) and mildly on CIFAR-10.
- Relies on a threshold t_flip and the flip-rate estimator's posteriors, which may be biased; tuned by grid search.
Experimental setup
Datasets: KEEL (32 binary datasets) CIFAR-10 CIFAR-100 MNIST (synthetic imbalanced illustration)
Benchmarks: KEEL 32 datasets CIFAR-10 step-wise CIFAR-100 step-wise CIFAR-10-LT CIFAR-100-LT
Metrics: F1 score G-mean AUC AccMI Overall accuracy Many/Medium/Few-shot accuracy ECE
Baselines: SMOTE ADASYN Borderline-SMOTE RUS OSS ClusterCentroids LDAM-DRW RSG GCL ReMix SelMix MiSLAS
Builds on: harmless label noise (Ahfock & McLachlan 2021; Cannings et al. 2020) LDAM-DRW MiSLAS RSG SelMix
Closest papers by meaning
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