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MAML and ANIL Provably Learn Representations

ICML 2022 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Meta-learning analysis and benchmarks · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adapt the task-specific head before the outer-loop representation updateMAML and ANIL · Multi-task linear representation learning, infinite samplesprincipal angle distance to the ground-truth subspaceHelped
Use task-specific head adaptation instead of optimizing the average non-adaptive loss (ablation)Multi-task linear representation learning · Task population lossesprincipal angle distance to the ground-truth subspaceHelped
Freeze the representation during inner-loop adaptation (ablation)MAML (ANIL variant) · Multi-task linear representation learning, infinite samplesprincipal angle distance to the ground-truth subspaceHelped
Adapt the representation in the inner loop (ablation)MAML compared with ANIL · Multi-task linear representation learning, infinite samplesprincipal angle distance to the ground-truth subspaceMixed
Replace exact second-order updates with first-order updates (ablation)ANIL · Multi-task linear representation learning, infinite samplesprincipal angle distance to the ground-truth subspaceHurt
Replace exact second-order updates with first-order updates (ablation)MAML · Multi-task linear representation learning, infinite samplesprincipal angle distance to the ground-truth subspaceMixed
Increase task diversityANIL and MAML · Multi-task linear representation learningrate of principal angle contractionHelped
Use a less accurate initialization (ablation)MAML · Multi-task linear representation learning, low task diversityprincipal angle convergenceHurt
Use a nonzero mean for the ground-truth task heads (ablation)FO-MAML · Multi-task linear representation learning, low task diversityprincipal angle convergenceHurt
Center the ground-truth task heads around zero (ablation)FO-MAML · Multi-task linear representation learningprincipal angle convergenceHelped
Use finite rather than infinite samples per task (ablation)ANIL and FO-ANIL · Multi-task linear representation learning, finite samplesprincipal angle distance to the ground-truth subspaceHurt
Use exact rather than first-order ANIL updates (ablation)ANIL · Multi-task linear representation learning, finite samplessamples required per taskHurt

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