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Adv-SSL: Adversarial Self-Supervised Representation Learning with Theoretical Guarantees
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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
- Adv-SSL reaches 93.01% linear / 90.97% k-NN on CIFAR-10, versus 92.47% / 90.19% for LogDet, the strongest listed baseline.
- On CIFAR-100 Adv-SSL gets 68.94% linear and 58.50% k-NN, above LogDet's 67.32% / 57.56%.
- Adv-SSL trains slightly faster and with similar memory than Barlow Twins (e.g., 51s vs 68s per epoch on CIFAR-10), since the inner maximization has a closed form.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use Adv-SSL instead of LogDet | self-supervised representation learning · CIFAR-10 linear | accuracy: 92.47 -> 93.01 | Helped |
| use Adv-SSL instead of LogDet | self-supervised representation learning · CIFAR-10 k-nn | accuracy: 90.19 -> 90.97 | Helped |
| use Adv-SSL instead of WMSE4 | self-supervised representation learning · CIFAR-100 linear | accuracy: 67.64 -> 68.94 | Helped |
| use Adv-SSL instead of LogDet | self-supervised representation learning · CIFAR-100 k-nn | accuracy: 57.56 -> 58.50 | Helped |
| use Adv-SSL instead of BYOL | self-supervised representation learning · Tiny ImageNet linear | accuracy: 51.00 -> 50.21 | Hurt |
| use Adv-SSL instead of BYOL | self-supervised representation learning · Tiny ImageNet k-nn | accuracy: 36.24 -> 37.40 | Helped |
| add the explicit alignment term (ablation) | Adv-SSL · CIFAR-10 linear | accuracy: 92.42 -> 93.01 | Helped |
| add the explicit alignment term (ablation) | Adv-SSL · CIFAR-10 k-nn | accuracy: 90.01 -> 90.97 | Helped |
| add the explicit alignment term (ablation) | Adv-SSL · CIFAR-100 linear | accuracy: 67.27 -> 68.94 | Helped |
| add the explicit alignment term (ablation) | Adv-SSL · CIFAR-100 k-nn | accuracy: 58.10 -> 58.50 | Helped |
| remove horizontal flipping from the augmentation set (ablation) | Adv-SSL · CIFAR-10 | accuracy: 93.01 -> 91.03 (Linear); 90.97 -> 88.34 (k-nn) | Hurt |
| remove color distortion and horizontal flipping (ablation) | Adv-SSL · CIFAR-10 | accuracy: 93.01 -> 89.18 (Linear); 90.97 -> 85.65 (k-nn) | Hurt |
Surprising findings
- Adv-SSL without the explicit alignment term still reaches 92.42% linear on CIFAR-10, close to the full method.
- Tiny ImageNet linear accuracy of Adv-SSL (50.21%) is below BYOL (51.00%).
Limitations
- Theory relies on strong assumptions (Hölder smoothness of encoder, Lipschitz augmentations, domain shift rates, and augmentation quality conditions) that may not hold in practice.
- Experiments are limited to small image benchmarks (CIFAR and Tiny ImageNet) with a ResNet-18 backbone and a single V100 GPU.
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
Closest papers by meaning
- Views Can Be Deceiving: Improved SSL Through Feature Space Augmentation (ICLR 2024 · similarity 0.86)
- Self-Supervised Adversarial Training via Diverse Augmented Queries and Self-Supervised Double Perturbation (NeurIPS 2024 · similarity 0.84)
- 3SAT: A Simple Self-Supervised Adversarial Training Framework (AAAI 2025 · similarity 0.84)
- Self-Supervised Dataset Distillation for Transfer Learning (ICLR 2024 · similarity 0.84)
- Revisiting Adversarial Training at Scale (CVPR 2024 · similarity 0.83)
- Can Generative Models Improve Self-Supervised Representation Learning? (AAAI 2025 · similarity 0.83)
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