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The Mechanism of Prediction Head in Non-contrastive Self-supervised Learning

NeurIPS 2022 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Contrastive versus non-contrastive theory · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train off-diagonal entries of an identity-initialized prediction headNon-contrastive self-supervised learning · Two-feature theoretical settinginter-neuron correlation: |\mathbf{Corr}(f_1(X),f_2(X))| \leq O(\frac{1}{\sqrt{d}}) versus |\mathbf{Corr}(f_i(X),f_j(X))| \geq 1 - O(\frac{1}{\sqrHelped
Keep the prediction head fixed at identity instead of training its off-diagonal entries (ablation)Non-contrastive self-supervised learning · Two-feature theoretical settinginter-neuron correlation: |\mathbf{Corr}(f_i(X),f_j(X))| \geq 1 - O(\frac{1}{\sqrt{d}})Hurt
Add an identity-initialized linear prediction head with trainable off-diagonal entriesSimSiam-style representation learning · CIFAR-10, CIFAR-100, and STL-10linear-classifier accuracyNo clear effect
Replace the identity-initialized linear prediction head with a two-layer nonlinear MLP (ablation)SimSiam-style representation learning · CIFAR-10, CIFAR-100, and STL-10linear-classifier accuracyNo clear effect
Replace the identity-initialized linear prediction head with a randomly initialized trainable linear head (ablation)SimSiam-style representation learning · CIFAR-10, CIFAR-100, and STL-10linear-classifier accuracyNo clear effect
Remove output normalization while training the prediction head (ablation)Non-contrastive self-supervised learning · Two-feature theoretical settinglearning weak featuresHurt
Remove stop-gradient while training the prediction head (ablation)Non-contrastive self-supervised learning · Two-feature theoretical settinglearning weak featuresHurt
Use output normalization and stop-gradient together with the trainable prediction headNon-contrastive self-supervised learning · Two-feature theoretical settinglearning weak featuresHelped
Train an identity-initialized prediction head rather than leave it fixed at identity (ablation)SimSiam-style representation learning · Real-world experiments described in the paperrepresentation qualityHelped

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