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VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning

ICLR 2022 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Invariance-based self-supervised learning · 335 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add variance regularization to BYOL (ablation)BYOL · ImageNet linear, 100 pretraining epochsTop-1 accuracy: +0.9%Helped
Add variance regularization to SimSiam (ablation)SimSiam · ImageNet linear, 100 pretraining epochsTop-1 accuracyNo clear effect
Add a predictor to VICReg when variance regularization is already used (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracyNo clear effect
Add batch normalization in the expander hidden layers (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: +1.0%Helped
Add variance regularization to SimSiam without batch normalization (ablation)SimSiam · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 35.1 -> 67.3Helped
Add covariance regularization alongside variance regularization to VICReg (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 57.5 -> 68.6Helped
Remove variance regularization (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 68.6 -> collapseHurt
Use loss coefficients λ=1, μ=1, ν=1 (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 68.6 -> collapseHurt
Increase expander dimensionality from 256 to 16384 (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 55.9 -> 68.8Helped
Reduce batch size to 128 from the 2048 setting (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 68.6 -> 67.3Hurt
Standardize the embeddings (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 68.6 -> 68.4Hurt
L2-normalize the embeddings and set the variance target to 1/√d (ablation)VICReg · ImageNet linear, 100 pretraining epochsTop-1 accuracy: 68.6 -> 65.1; drops by 3.5%Hurt

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