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Subspace Learning for Effective Meta-Learning

ICML 2022 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Meta-augmentation and meta-objectives

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace single global meta-model with subspace mixture (MUSML, K subspaces)MAML-style meta-learning · Synthetic 5-shot regressionMSE: 0.74 to 0.07Helped
Subspace mixture (MUSML) vs global meta-model on real dataMeta-learning · Meta-Dataset-BTAF 5-way 5-shotaccuracy (%): 66.18 vs 57.78 (MAML) / 62.29 (ProtoNet)Helped
Increase number of clusters in TSA-MAML instead of subspace mixture (ablation)TSA-MAML · Synthetic 5-shot regressionMSE: 0.58 (2 clusters) to 0.12 (20 clusters), then 0.14 (40) and 0.13 (80)Mixed
Use constant temperature instead of linear annealing for softmax subspace selection (ablation)MUSML · Meta-Dataset-BTAF 5-way 5-shotaccuracy (%): best constant 63.16 (gamma=0.1) vs 66.18 with annealingHurt
Increase number of subspaces K beyond the selected value (ablation)MUSML · Meta-Dataset-BTAF 5-way 5-shotmeta-testing accuracy: training accuracy rises with K, but K=5 is not advantageous at meta-validation and meta-testingMixed
Increase subspace dimension m from 1 to 2, then to 3-5 (ablation)MUSML · Meta-Dataset-BTAF 5-way 5-shotmeta-validation and meta-testing accuracy: improves from m=1 to m=2; m=3,4,5 worseMixed
Apply MUSML subspace mixture to Meta-Curvature (ablation)Meta-Curvature · Meta-Dataset-BTAF 5-way 5-shotaccuracy (%): 60.02 to 66.10Helped
Apply MUSML subspace mixture to Meta-SGD (ablation)Meta-SGD · Meta-Dataset-BTAF 5-way 5-shotaccuracy (%): 58.93 to 65.72Helped
Subspace mixture (MUSML) on Omniglot datasetMUSML · Meta-Dataset-CIO 5-way 5-shot (Omniglot)accuracy (%): 95.13 vs 97.92 (BMG) and 96.99 (TSA-MAML)Hurt
Subspace mixture (MUSML) on 1-shot Meta-Dataset-BTAFMUSML · Meta-Dataset-BTAF 5-way 1-shotaccuracy (%): 50.53 vs 50.34 (ARML), smaller margin than 5-shotHelped
Subspace mixture (MUSML) for cross-domain transfer BTAF to CIOMUSML · Cross-domain BTAF to CIO 5-way 5-shotaccuracy (%): 67.41 vs 66.92 (TSA-ProtoNet)Helped

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