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Adv-SSL: Adversarial Self-Supervised Representation Learning with Theoretical Guarantees

NeurIPS 2025 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Data-efficient and robust self-supervision · 2 citations (OpenAlex)

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Proposes Adv-SSL, a min-max self-supervised method that removes the mini-batch bias of covariance-identity regularization via an adversarial matrix variable G, and proves end-to-end few-shot error bounds for it.

Problem

Covariance/correlation-identity regularized self-supervised learning uses a biased sample estimate of the population regularizer (Frobenius norm of expectation minus identity), causing optimization drift in mini-batches and blocking end-to-end theory for downstream few-shot classification.

Approach

Rewrites the regularizer as a supremum over an auxiliary matrix G in a Frobenius ball, giving an unbiased sample-level estimator; training becomes an alternating min-max where G is solved in closed form and the encoder is updated with G detached, and the paper derives a misclassification bound that depends on unlabeled source size and downstream class counts.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use Adv-SSL instead of LogDetself-supervised representation learning · CIFAR-10 linearaccuracy: 92.47 -> 93.01Helped
use Adv-SSL instead of LogDetself-supervised representation learning · CIFAR-10 k-nnaccuracy: 90.19 -> 90.97Helped
use Adv-SSL instead of WMSE4self-supervised representation learning · CIFAR-100 linearaccuracy: 67.64 -> 68.94Helped
use Adv-SSL instead of LogDetself-supervised representation learning · CIFAR-100 k-nnaccuracy: 57.56 -> 58.50Helped
use Adv-SSL instead of BYOLself-supervised representation learning · Tiny ImageNet linearaccuracy: 51.00 -> 50.21Hurt
use Adv-SSL instead of BYOLself-supervised representation learning · Tiny ImageNet k-nnaccuracy: 36.24 -> 37.40Helped
add the explicit alignment term (ablation)Adv-SSL · CIFAR-10 linearaccuracy: 92.42 -> 93.01Helped
add the explicit alignment term (ablation)Adv-SSL · CIFAR-10 k-nnaccuracy: 90.01 -> 90.97Helped
add the explicit alignment term (ablation)Adv-SSL · CIFAR-100 linearaccuracy: 67.27 -> 68.94Helped
add the explicit alignment term (ablation)Adv-SSL · CIFAR-100 k-nnaccuracy: 58.10 -> 58.50Helped
remove horizontal flipping from the augmentation set (ablation)Adv-SSL · CIFAR-10accuracy: 93.01 -> 91.03 (Linear); 90.97 -> 88.34 (k-nn)Hurt
remove color distortion and horizontal flipping (ablation)Adv-SSL · CIFAR-10accuracy: 93.01 -> 89.18 (Linear); 90.97 -> 85.65 (k-nn)Hurt

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 CIFAR-100 Tiny ImageNet

Benchmarks: CIFAR-10 CIFAR-100 Tiny ImageNet

Metrics: top-1 accuracy (linear probe) top-1 accuracy (k-NN, k=5) training memory training time per epoch

Baselines: Barlow Twins Beyond Separability SimCLR BYOL WMSE VICReg LogDet

Builds on: Barlow Twins Beyond Separability SimCLR

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