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Meta-Learning with Warped Gradient Descent

ICLR 2020 · Optimization › Optimizers · approach: Gradient-based meta-learning theory · 116 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add WarpGrad preconditioning to MAMLMAML · miniImageNet 5-way 1-shotaccuracy: 48.7 -> 52.3Helped
add WarpGrad preconditioning to MAMLMAML · tieredImageNet 5-way 5-shotaccuracy: 70.3 -> 74.1Helped
add WarpGrad preconditioning to LeapLeap · tieredImageNet 10-way 640-shotaccuracy: 76.52 -> 80.4Helped
use Warp-Leap instead of LeapLeap · Omniglot 20-way 100-shotaccuracy: 75.5 -> 83.6Helped
train warp parameters offline rather than online (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 76.3±2.1 -> 84.4±1.7Helped
use the approximate meta-objective instead of the full objective (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 84.4±1.7 -> 83.1±2.7Hurt
meta-learn the task adaptation learning rate (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 84.4±1.7 -> 83.1±3.3Hurt
replace 3x3 convolutional warp with channel-wise scaling (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 84.4±1.7 -> 77.5±1.8Hurt
add batch normalization, ReLU, and residual connections to the warp (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 84.4±1.7 -> 86.3±1.1Helped
use two convolutional warp layers with batch normalization and residual connections (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 84.4±1.7 -> 88.0±1.0Helped
add task-adapted FiLM embeddings to the two-layer warp (ablation)Warp-Leap · Omniglot 25 meta-training taskstest accuracy: 88.0±1.0 -> 88.1±1.0No clear effect
use nonlinear instead of linear warp layers (ablation)WarpGrad · Omniglot, random initializationaccuracy: 68.0±4.4 -> 81.3±4.0Helped

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