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Online Curvature-Aware Replay: Leveraging $\mathbf{2^{nd}}$ Order Information for Online Continual Learning

ICML 2025 · Continual learning › Online and replay-based · approach: Memory-based and Bayesian online learning · 0 citations (OpenAlex)

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Proposes OCAR, a second-order replay-based online continual learning optimizer that preconditions gradients with a K-FAC approximation of the Fisher information under an explicit KL stability constraint on buffer data, outperforming prior OCL methods on Split-CIFAR100, Split-TinyImageNet and Online CLEAR.

Problem

Replay-based online continual learning suffers from instability after task shifts (stability gap) and a stability-plasticity tradeoff, without access to task boundaries or identities.

Approach

Formulates replay-based OCL as a second-order joint optimization with a KL-divergence constraint on buffer predictions, and uses the Fisher information (K-FAC approximated, with Tikhonov damping and scheduled lambda and tau) as a gradient preconditioner rather than a quadratic penalty.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use OCAR instead of LPROnline CLEAR · Online CLEAR (10 Tasks)AAA: 63.5 \pm 1.0 -> 73.9 \pm 0.5Helped
Use OCAR instead of LPROnline CLEAR · Online CLEAR (10 Tasks)WC-Acc: 62.6 \pm 0.7 -> 70.3 \pm 0.5Helped
Use OCAR instead of ER-ACESplit-TinyImageNet · Split-TinyImageNet (20 Tasks)AAA: 35.0 \pm 1.5 -> 38.3 \pm 1.4Helped
Use OCAR instead of ER-ACESplit-TinyImageNet · Split-TinyImageNet (20 Tasks)Acc: 23.6 \pm 0.7 -> 21.7 \pm 1.0Hurt
Combine OCAR with ER-ACE (ablation)OCAR · Split-TinyImageNet (20 Tasks)AAA: 38.3 \pm 1.4 -> 39.8 \pm 2.0Helped
Combine OCAR with ER-ACE (ablation)OCAR · Split-TinyImageNet (20 Tasks)Probed Acc: 38.3 \pm 0.6 -> 34.7 \pm 0.3Hurt
Combine OCAR with DER++ (ablation)OCAR · Split-CIFAR100 (20 Tasks)WC-Acc: 25.0 \pm 1.1 -> 25.4 \pm 0.8Mixed
Use OCAR instead of ERSplit MNIST · Split MNIST (5 Tasks)average accuracyHelped
Increase the ratio of learning rate to Tikhonov regularizationOCAR · Continual learning streamforgettingHelped

Surprising findings

Limitations

Experimental setup

Datasets: Split-CIFAR100 Split-TinyImageNet Online CLEAR Split MNIST

Benchmarks: Split-CIFAR100 (20 tasks) Split-TinyImageNet (20 tasks) Online CLEAR (10 tasks)

Metrics: Acc AAA WC-Acc Probed Acc

Baselines: ER GDumb AGEM ER+LwF MIR RAR DER++ ER-ACE SCR OnPro OCM LPR

Builds on: experience replay K-FAC natural gradient EWC LPR

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