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On Enforcing Better Conditioned Meta-Learning for Rapid Few-Shot Adaptation

NeurIPS 2022 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Meta-learning analysis and benchmarks · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a conditioning loss based on variance of log Hessian eigenvaluesMAML · Few-shot classification, first inner-loop adaptation stepaccuracy: 20.12±0.06 -> 68.60±0.71 (miniImageNet 5-way 5-shot, ResNet18, Table 4)Helped
Add a conditioning loss based on variance of log Hessian eigenvaluesMAML · Five-shot and one-shot classification after five steps, across the five reported datasetsaccuracy: 71.06±0.74 -> 73.28±0.68 (miniImageNet 5-way 5-shot, ResNet18, Table 4)Helped
Use conditioning loss on the classifier rather than no conditioning loss (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 20.04±0.02 -> 61.78±0.75Helped
Apply the conditioning loss to the embedding layer instead of the classifier (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 59.85±0.80 vs 61.78±0.75Mixed
Apply the conditioning loss to embedding batch normalization instead of the classifier (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 62.22±0.79 vs 61.78±0.75Helped
Apply conditioning to classifier and embedding together (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 64.27±0.77 vs 61.78±0.75Helped
Apply conditioning to classifier and embedding batch normalization together (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 55.54±0.83 vs 61.78±0.75Hurt
Apply conditioning to embedding and embedding batch normalization together (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 63.46±0.76 vs 61.78±0.75Helped
Apply conditioning to classifier, embedding, and embedding batch normalization together (ablation)Conv4 · CUB 5-way 5-shot, step 1accuracy: 60.93±0.81 vs 61.78±0.75Hurt
Train with the conditioning loss, then take one inference step with a larger learning rateMAML with conditioning constraint · miniImageNet 5-way 5-shot, one inference stepaccuracy: 65.96 ± 0.71 -> 66.54±0.70 (5 steps - lr MAML vs 1 step - 5·lr ours)Helped
Continue adaptation beyond the five-step training horizonConditioning constraint (ours) · CUB, ResNet18, 5-way 5-shotaccuracy: 84.66±0.54 -> 85.01±0.53Helped

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