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Exploring the Gap between Collapsed & Whitened Features in Self-Supervised Learning

ICML 2022 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Invariance-based self-supervised learning

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add PostMan-Pat power-law eigenvalue rescaling post-hoc to pretrained encoderBarlow Twins ResNet-50 encoder · ImageNet-1K 0.3% labelstop-1 accuracy: +2.4 (42.3 vs 39.9)Helped
Add PostMan-Pat post-hoc rescaling to SimCLR encoderSimCLR ResNet-50 encoder · ImageNet-1K 1% labelstop-1 accuracy: +2.8 over LP (50.9 vs 48.1)Helped
Add PostMan-Pat post-hoc rescaling to SwAV encoderSwAV ResNet-50 encoder · ImageNet-1K 1% labelstop-1 accuracy: beats NFT by over 2.5%Helped
Add PostMan-Pat post-hoc rescaling to MoCo-v3 ViT-B/16 encoderViT-B/16 MoCo-v3 · ImageNet-1K 0.3% labelstop-1 accuracy: +1.2 (55.2 vs 54.0)Helped
Add PostMan-Pat post-hoc rescaling to pretrained encoders for transferResNet-50 SSL encoders (CIFAR-100, Cars, Flowers) · transfer learning, 100% labelstop-1 test accuracy: small gains of about 0.5 to 2.0 points across encoders and datasetsHelped
Add PostMan-Pat on supervised encoder (ResNet-18, CIFAR-10) (ablation)supervised ResNet-18 encoder · CIFAR-10 low labelled datatest accuracy relative to linear probeNo clear effect
Increase PMP exponent beta (faster eigenvalue decay) (ablation)Barlow Twins / SimCLR ResNet-18 encoders · CIFAR-10 with 0.1% and 0.3% labelstest accuracy relative to linear probe: up to 4% higher for Barlow Twins at 0.1% labelsHelped
Increase PMP exponent beta (faster eigenvalue decay) (ablation)Barlow Twins / SimCLR ResNet-18 encoders · CIFAR-10 with 100% labelstest accuracy relative to linear probeHurt
Use deeper projection MLP (more layers) in Barlow Twins training (ablation)Barlow Twins ResNet-18 encoder · CIFAR-10 encoder eigenspectrumencoder normalised eigensum (NESum)Hurt
Increase Barlow Twins regularisation strength ρ (more whitened features) (ablation)Barlow Twins ResNet-18 encoder · CIFAR-10 linear probetest accuracyMixed
Add PMP-style power-law rescaling to deeper-projector encoders (ablation)encoders trained with deeper projection layers · CIFAR-10 small labelled datatest accuracy gain from PMPHurt

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