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Semantic Shift Estimation via Dual-Projection and Classifier Reconstruction for Exemplar-Free Class-Incremental Learning

ICML 2025 · Continual learning › Class-incremental · approach: Exemplar-efficient class-incremental learning

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Proposes DPCR, an exemplar-free class-incremental learning method that estimates semantic shift with a dual projection (task-wise learnable linear projection plus category row-space projection) and reconstructs the classifier via BP-free ridge regression using calibrated covariances and prototypes.

Problem

Exemplar-free class-incremental learning suffers from catastrophic forgetting due to semantic shift of old-class embeddings after backbone updates and decision bias of classifiers trained only on new data.

Approach

Estimate semantic shift with a closed-form dual projection (task-wise linear projector combined with per-class row-space projection of uncentered covariance), calibrate stored class covariances and prototypes with it, and rebuild the classifier via ridge regression instead of backpropagation on new data only.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · CIFAR-100, T=10final accuracy: 46.80 -> 50.24Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · CIFAR-100, T=20final accuracy: 36.76 -> 38.98Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · Tiny-ImageNet, T=10final accuracy: 33.74 -> 35.20Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · Tiny-ImageNet, T=20final accuracy: 24.49 -> 26.54Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · ImageNet-100, T=10final accuracy: 49.98 -> 52.16Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · ImageNet-100, T=20final accuracy: 34.87 -> 38.35Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · CUB200, T=5final accuracy: 28.84 -> 29.51Helped
Use DPCR instead of the strongest listed baselineEFCIL with ResNet-18 · ImageNet-1k, T=10final accuracy: 35.15 -> 35.49Helped
Add TSSP to RRCR (ablation)RRCR on CIFAR-100, T=10 · CIFAR-100, T=10final accuracy: 32.17 -> 40.86Helped
Add CIP to RRCR+TSSP (ablation)RRCR+TSSP on CIFAR-100, T=10 · CIFAR-100, T=10final accuracy: 40.86 -> 45.56Helped
Add CN to RRCR+TSSP+CIP (ablation)RRCR+TSSP+CIP on CIFAR-100, T=10 · CIFAR-100, T=10final accuracy: 45.56 -> 51.04Helped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-100 Tiny-ImageNet ImageNet-100 CUB200 ImageNet-1k

Benchmarks: CIFAR-100 Tiny-ImageNet ImageNet-100 CUB200 ImageNet-1k

Metrics: final accuracy average incremental accuracy

Baselines: LwF SDC PASS ACIL FeCAM DS-AL ADC LDC iCaRL PODNet FOSTER

Builds on: LwF LDC ACIL ADC SDC

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