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Enhancing Noise-Robust Losses for Large-Scale Noisy Data Learning

AAAI 2025 · Label-efficient and robust learning › Noisy labels · approach: Sample selection and co-training · 1 citations (OpenAlex)

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Proposes "logit bias," adding a class-count-dependent constant to the correct-class logit so bounded noise-robust losses (especially MAE) get non-vanishing gradients at initialization, and calculates loss hyperparameters without training.

Problem

Bounded noise-robust losses such as MAE underfit multi-class datasets because, at initialization, network logits barely overlap with the region where the loss derivative is non-vanishing, and this overlap shrinks as class count grows.

Approach

Analyze the average backpropagation error of the correct-class neuron against the initial logit distribution N(0,1); shift the correct-class logit by a class-count-dependent bias epsilon (MAE*) so that gradients are non-zero at init, and use the same error-matching criterion to set hyperparameters of genCE, NCE-AGCE and NF-MAE without training.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add logit bias ε=0.5 to MAE (ablation)MAE on Cifar-10 · Cifar-10, symmetric noise 0%accuracy: 84.90 $\pm$ 1.86 -> 91.27 $\pm$ 0.13Helped
Add logit bias ε=0.5 to MAE (ablation)MAE on Cifar-10 · Cifar-10, symmetric noise 20%accuracy: 80.45 $\pm$ 0.24 -> 89.95 $\pm$ 0.06Helped
Add logit bias ε=0.5 to MAE (ablation)MAE on Cifar-10 · Cifar-10, asymmetric noise 40%accuracy: 77.25 $\pm$ 6.32 -> 85.82 $\pm$ 5.68Helped
Add logit bias ε=3.0 to MAE (ablation)MAE on Cifar-100 · Cifar-100, symmetric noise 0%accuracy: 6.84 $\pm$ 0.66 -> 76.49 $\pm$ 0.09Helped
Use logit bias ε=3.0 rather than ε=1.5 (ablation)MAE* on Cifar-100 · Cifar-100, symmetric noise 40%accuracy: 55.71 $\pm$ 0.45 -> 44.20 $\pm$ 0.41Hurt
Vary logit bias from ε=1.3 to ε=1.7 around ε=1.5 (ablation)MAE* on Cifar-100 · Cifar-100, symmetric noise 20%accuracy: 67.9\%, 68.2\%, 68.3\%, 68.4\%, 68.2\%No clear effect
Use class-count-adjusted loss parameters or logit bias (ablation)Noise-robust losses on WebVision · WebVision validationTop-1 accuracy: genCE 13.28 -> genCE+ 64.85 $\pm$ 0.04Helped
Use scheduled logit bias instead of the fixed bias (ablation)MAE on WebVision · WebVision validationTop-1 accuracy: 58.72 $\pm$ 0.11Helped

Surprising findings

Limitations

Experimental setup

Datasets: Cifar-10 Cifar-100 Fashion-MNIST WebVision

Benchmarks: Cifar-10 Cifar-100 Fashion-MNIST WebVision

Metrics: test accuracy top-1 accuracy top-5 accuracy

Baselines: CE MAE genCE AGCE NF-MAE NCE-MAE NCE-AGCE biTemp symCE

Builds on: MAE loss generalized cross entropy normalized cross entropy active-passive losses bi-tempered logistic loss

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