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Maintaining Fairness in Logit-based Knowledge Distillation for Class-Incremental Learning
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Proposes a plug-and-play Z-score logit normalization (inter-class) plus intra-class KD loss to resolve the conflict between logit-based KD and cross-entropy in class-incremental learning, improving recency bias and FAA/CAA of several KD-based CIL methods.
Problem
Logit-based knowledge distillation in class-incremental learning enforces exact logit matching for old classes, which conflicts with cross-entropy learning of new classes, causing recency bias and unfairness between old and new classes (and within old classes).
Approach
Z-score normalize student and teacher logits across all classes (not only old ones) before distillation, so the KD loss matches semantic inter-class relations rather than exact values; additionally add an intra-class KD loss across instances in a batch to address overconfident teacher predictions and fairness within old classes.
Key results
- Applying the inter-class loss plus intra-class loss to LwF on CIFAR-100 Half 6 Tasks improves FAA by 5.81 and CAA by 5.59 on average across methods.
- Average improvements across methods are up to 5.81% FAA and 5.59% CAA on CIFAR-100, and consistent gains on TinyImageNet (e.g., LwF Split 5 Tasks FAA 23.05 to 28.20).
- The method adds no additional training cost and integrates with LwF, Replay, iCaRL, BiC, WA and PODNet.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add inter-class relation distillation | LwF · CIFAR-100 Split 5 Tasks | FAA: 37.55 -> 38.70 | Helped |
| Add inter-class and intra-class relation distillation | LwF · CIFAR-100 Split 5 Tasks | FAA: 37.55 -> 46.09 | Helped |
| Add inter-class and intra-class relation distillation | LwF · ImageNet-Subset Split 5 Tasks | CAA: 56.08 -> 59.14 | Helped |
| Add inter-class and intra-class relation distillation | LwF · TinyImageNet Split 5 Tasks | FAA: 23.05 -> 28.20 | Helped |
| Add inter-class relation distillation | LwF · ImageNet-Subset Split 5 Tasks | FAA: 34.63 -> 28.47 | Hurt |
| Use inter-class loss only rather than intra-class loss only (ablation) | LwF relation distillation · CIFAR-100 Split 5 Tasks | FAA: 17.03 -> 47.51 | Helped |
| Add inter-class loss while retaining intra-class loss (α=4/3, β=2/3) (ablation) | LwF relation distillation · CIFAR-100 Split 5 Tasks | FAA: 43.21 -> 46.74 | Helped |
| Increase batch size from 32 to 256 (ablation) | LwF + Linter + Lintra · CIFAR-100 Split 5 Tasks | FAA: 35.66 -> 44.20 | Helped |
| Use inter-class and intra-class relation distillation | LwF · CIFAR-100 Half 6 Tasks | FAA: 14.64 -> 20.92 | Helped |
| Use inter-class and intra-class relation distillation | LwF · ImageNet-Subset Split 10 Tasks | FAA: 20.08 -> 19.17 | Hurt |
Surprising findings
- Modifying the student's softmax to include new-class logits in the KD term substantially reduces temporary forgetting, yet the new-task accuracy stays at 0 because the exact match makes the student mirror the teacher's predictions.
Limitations
- Gains vary across settings; some configurations (e.g., BiC Half 11 Tasks intra-loss) show slight drops.
- Hyperparameter sensitivity: performance depends on the inter/intra loss weight ratio and batch size for intra-class distillation.
- Evaluated only with ResNet-18 on image classification benchmarks.
Experimental setup
Datasets: CIFAR-100 ImageNet-Subset TinyImageNet
Benchmarks: CIFAR-100 ImageNet-Subset TinyImageNet
Metrics: Final Average Accuracy (FAA) Cumulative Average Accuracy (CAA)
Baselines: LwF Replay iCaRL BiC WA PODNet
Builds on: LwF iCaRL BiC WA PODNet
Closest papers by meaning
- Can Students Beyond the Teacher? Distilling Knowledge from Teacher’s Bias (AAAI 2025 · similarity 0.90)
- PLD: A Choice-Theoretic List-Wise Knowledge Distillation (NeurIPS 2025 · similarity 0.90)
- Logit Standardization in Knowledge Distillation (CVPR 2024 · similarity 0.89)
- Scaled Decoupled Distillation (CVPR 2024 · similarity 0.89)
- Enhancing Logits Distillation with Plug&Play Kendall's $\tau$ Ranking Loss (ICML 2025 · similarity 0.89)
- Distilling What Matters: Confidence-Aware Selective Distillation for Large Language Models (NeurIPS 2026 · similarity 0.88)
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