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Global Convergence of MAML and Theory-Inspired Neural Architecture Search for Few-Shot Learning

CVPR 2022 · Architectures and efficiency › Neural architecture search · approach: Bi-level differentiable NAS · 38 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use MetaNTK condition number instead of supervised NTK condition number in NAS (ablation)TE-NAS-style search · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 62.51 ± 0.42 -> 63.88 ± 0.81; 63.51 ± 0.16 -> 64.26 ± 0.14; 79.02 ± 0.35 -> 80.07 ± 0.45; 79.86 ± 0.42 -> 80.35 ± 0.12Helped
add the MetaNTK criterion to search using linear-region count (ablation)Linear Region search · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 62.96 ± 1.05 -> 63.88 ± 0.81; 63.99 ± 0.76 -> 64.26 ± 0.14; 79.13 ± 0.96 -> 80.07 ± 0.45; 79.88 ± 0.51 -> 80.35 ± 0.12Helped
add MetaNTK-guided search rather than randomly sampling cells (ablation)random cell search · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 62.55 ± 1.15 -> 63.88 ± 0.81; 62.76 ± 0.83 -> 64.26 ± 0.14; 78.90 ± 0.58 -> 80.07 ± 0.45; 79.18 ± 0.72 -> 80.35 ± 0.12Helped
replace MetaNTK condition number with NTK condition number (ablation)MetaNTK-NAS · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 63.88 ± 0.81 -> 62.51 ± 0.42; 64.26 ± 0.14 -> 63.51 ± 0.16; 80.07 ± 0.45 -> 79.02 ± 0.35; 80.35 ± 0.12 -> 79.86 ± 0.42Hurt
remove both kernel condition number and MetaNTK criterion, retaining linear-region count only (ablation)MetaNTK-NAS · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 63.88 ± 0.81 -> 62.96 ± 1.05; 64.26 ± 0.14 -> 63.99 ± 0.76; 80.07 ± 0.45 -> 79.13 ± 0.96; 80.35 ± 0.12 -> 79.88 ± 0.51Hurt
remove the search criteria and sample candidate cells randomly (ablation)MetaNTK-NAS · mini-ImageNet, 5-way 1-shot and 5-shot, 5- and 8-cell networksaccuracy: 63.88 ± 0.81 -> 62.55 ± 1.15; 64.26 ± 0.14 -> 62.76 ± 0.83; 80.07 ± 0.45 -> 78.90 ± 0.58; 80.35 ± 0.12 -> 79.18 ± 0.72Hurt
use MetaNTK-NAS instead of MetaNAS for architecture searchRFS-trained 5-cell networks · mini-ImageNet and tiered-ImageNet, 5-way 1-shot and 5-shotaccuracy: 64.24±0.11 -> 63.88 ± 0.81; 79.75±0.13 -> 80.07±0.45; 70.16±0.09 -> 71.12±0.49; 84.99±0.22 -> 85.71±0.22Mixed
use MetaNTK-NAS instead of MetaNAS for architecture searchRFS-trained 8-cell networks · mini-ImageNet and tiered-ImageNet, 5-way 1-shot and 5-shotaccuracy: 63.88±0.23 -> 64.26 ± 0.14; 79.88±0.14 -> 80.35±0.12; 72.32±0.02 -> 72.37±0.79; 86.48±0.06 -> 86.43±0.53Mixed
use MetaNTK-NAS instead of MetaNAS for search5-cell architecture search on mini-ImageNet · mini-ImageNetsearch cost: 168 hr -> 1.54 hrHelped

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