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Meta-learning with differentiable closed-form solvers

ICLR 2019 · Learning theory and algorithms › Kernels and regression theory · approach: High-dimensional asymptotic generalization · 149 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use differentiable ridge regression for per-episode adaptation, trained through meta-learningfew-shot classification · CIFAR-FS and miniImageNetaccuracy: +4.3% relative average accuracy over GNN on the four evaluated settingsHelped
Use Woodbury identity to solve using an episode-sized matrixR2-D2 · few-shot episodescomputation costHelped
Use LR-D2 with five IRLS iterations rather than one (ablation)LR-D2 · miniImageNet 5-way 5-shotaccuracy: 65.6±0.2% -> 68.7±0.2%Helped
Use LR-D2 with five IRLS iterations rather than one (ablation)LR-D2 · CIFAR-FS 5-way 5-shotaccuracy: 75.8±0.2% -> 78.3±0.2%Helped
Use LR-D2 with five IRLS iterations rather than one (ablation)LR-D2 · miniImageNet 5-way 1-shotaccuracy: 51.0±0.2% -> 51.9±0.2%Helped
Use LR-D2 with five IRLS iterations rather than one (ablation)LR-D2 · CIFAR-FS 5-way 1-shotaccuracy: 64.5±0.2% -> 65.3±0.2%Helped
Use a 64-channel embedding rather than the full embedding (ablation)R2-D2 · miniImageNet 5-way 1-shotaccuracy: 51.8±0.2% -> 49.5±0.2%Hurt
Use a 64-channel embedding rather than the full embedding (ablation)R2-D2 · CIFAR-FS 5-way 1-shotaccuracy: 65.4±0.2% -> 62.3±0.2%Hurt
Learn calibration scale α instead of leaving it fixed (ablation)R2-D2 · few-shot classificationaccuracyHelped
Learn regularization λ instead of leaving it fixed (ablation)R2-D2 · few-shot classificationaccuracyNo clear effect
Use a diagonal, per-parameter regularization prior instead of scalar λ (ablation)R2-D2 · few-shot classificationaccuracyNo clear effect
Train the representation with adaptation included rather than standard pretraining followed by task-specific final layers (ablation)R2-D2 feature extractor · miniImageNet and CIFAR-FSaccuracy: -13.8% and -11.6% accuracy on miniImageNet; -11.5% and -5.9% on CIFARHelped

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