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Efficient Variance Reduction for Meta-learning

ICML 2022 · Optimization › Optimizers · approach: Gradient-based meta-learning theory

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add variance reduction (STORM-style, bilevel-aware VR-Reptile) to ReptileReptile · Mini-ImageNet 1-shot and 5-shot 5-wayaccuracy (%): +0.4 (1-shot), +1.6 (5-shot)Mixed
add variance reduction (plain STORM) to ReptileReptile · Mini-ImageNet 1-shot and 5-shot 5-wayaccuracy (%): -0.1 (1-shot), +0.2 (5-shot)No clear effect
bilevel-aware variance reduction (VR) vs STORM variant on ReptileReptile · Meta-Dataset 1-shot and 5-shot 5-way (Bird, Fungi)accuracy (%): e.g. Fungi 1-shot 45.34 vs 43.56Helped
apply VR to BMG (VR-BMG) vs plain BMGBMG · Mini-ImageNet 1-shot 5-wayaccuracy (%): +0.7Helped
apply variance reduction (VFML, STORM on intermediate gradients) to ReptileReptile · Mini-ImageNet 1-shot 5-wayaccuracy (%): -0.4 (1-shot), 0.0 vs 66.0 in 5-shot... VFML 66.2 vs Reptile 66.0 in 5-shotHurt
apply variance reduction to MAML/FOMAML (VR-MAML, VR-FOMAML) vs plainMAML and FOMAML · Mini-ImageNet 1-shot and 5-shot 5-wayaccuracy (%): MAML 48.7->49.2 (1-shot), 63.1->63.6 (5-shot); FOMAML 48.1->48.3, 63.2->63.4Mixed
generic STORM variance reduction applied to DRS (DRS+STORM)DRS · Mini-ImageNet 1-shot 5-wayaccuracy (%): +0.2No clear effect
apply bilevel variance reduction (SUSTAIN/MRBO/VRBO) to ANILANIL · Mini-ImageNet 1-shot and 5-shot 5-wayaccuracy (%): +0.1 to +0.3 (1-shot), +0.4 to +0.6 (5-shot)No clear effect
Reptile vs K (inner steps) sweep for VR-Reptile (ablation)VR-Reptile · Mini-ImageNet 1-shot 5-waytesting accuracy (%)Mixed
use bilevel formulation (ANIL) instead of single-level meta-learningANIL · Mini-ImageNet 5-shot 5-wayaccuracy (%): ANIL 61.4 vs Reptile 66.0Hurt
replace meta-learner with domain randomized search (DRS)meta-learning · Mini-ImageNet 1-shot 5-wayaccuracy (%): 24.5 vs 50.0 for ReptileHurt

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