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(FL)$^2$: Overcoming Few Labels in Federated Semi-Supervised Learning
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Proposes (FL)^2, a federated semi-supervised learning method for labels-at-server settings that combines client-specific adaptive thresholding, sharpness-aware consistency regularization on high-confidence samples, and learning status-aware aggregation to reduce confirmation bias with very few labels.
Problem
Federated semi-supervised learning in the labels-at-server setting has a large performance gap to centralized SSL when labeled data is scarce, mainly due to confirmation bias amplified by multiple local epochs and separation of labeled and unlabeled data.
Approach
Combines a client-specific adaptive pseudo-labeling threshold (driven by each client's global-model confidence), a SAM-style adversarial weight perturbation applied to a high-confidence subset with a consistency loss between original and perturbed outputs, and aggregation weights that favor clients with lower learning status (1 - threshold).
Key results
- Improves classification accuracy by up to 23.0% over existing FSSL methods, per the paper's claim.
- On Fashion-MNIST with 40 labels under non-IID Dir(0.3), (FL)^2 reaches 63.2% vs 12.8% for SemiFL.
- On AGNews with 20 labels under balanced IID, (FL)^2 reaches 87.0% vs 47.4% for SemiFL.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use (FL)^2 instead of SemiFL | Federated semi-supervised learning · Fashion-MNIST, Unbalanced Non-IID Dir(0.3), 40 labeled samples | accuracy: 12.8(4.8) -> 63.2(0.5) | Helped |
| Use (FL)^2 instead of SemiFL | Federated semi-supervised learning · AGNews, Unbalanced Non-IID Dir(0.3), 20 labeled samples | accuracy: 59.1(13.7) -> 73.6(3.7) | Helped |
| Use (FL)^2 instead of SemiFL | Federated semi-supervised learning · Fashion-MNIST, Balanced IID, 40 labeled samples | accuracy: 10.0(0.0) -> 49.8(34.5) | Helped |
| Use (FL)^2 instead of SemiFL | Federated semi-supervised learning · AGNews, Balanced IID, 20 labeled samples | accuracy: 47.4(14.3) -> 87.0(0.6) | Helped |
| Apply naive SAM to client training | FSSL · FSSL benchmarks | classification accuracy | Hurt |
| Use the original SAM objective rather than sharpness-aware consistency regularization | FSSL · FSSL benchmarks | classification accuracy | No clear effect |
Surprising findings
- Naively applying SAM degrades FSSL performance because it also sharpens generalization on incorrectly pseudo-labeled samples.
- Minimizing the sharpness of incorrectly pseudo-labeled samples reduces model performance.
Limitations
- SemiFL training became unstable with the unlabeled batch size of 32, requiring a batch size of 10 for that baseline.
- Some runs fail under very few labels (e.g., one balanced IID Fashion-MNIST run collapsed to around 10%), indicating residual instability.
Experimental setup
Datasets: CIFAR-10 SVHN Fashion-MNIST AGNews
Benchmarks: CIFAR-10 SVHN Fashion-MNIST AGNews
Metrics: classification accuracy (%) standard deviation across three seeds
Baselines: SemiFL FedCon FedMatch FreeMatch SoftMatch
Builds on: FreeMatch SemiFL FixMatch Sharpness-Aware Minimization FedAvg
Closest papers by meaning
- Progressive Distribution Matching for Federated Semi-Supervised Learning (AAAI 2025 · similarity 0.93)
- SemiDFL: A Semi-Supervised Paradigm for Decentralized Federated Learning (AAAI 2025 · similarity 0.92)
- Mind the Gap: Confidence Discrepancy Can Guide Federated Semi-Supervised Learning Across Pseudo-Mismatch (CVPR 2025 · similarity 0.92)
- Combating Data Imbalances in Federated Semi-supervised Learning with Dual Regulators (AAAI 2024 · similarity 0.92)
- Exploring One-Shot Semi-supervised Federated Learning with Pre-trained Diffusion Models (AAAI 2024 · similarity 0.91)
- BSemiFL: Semi-supervised Federated Learning via a Bayesian Approach (ICML 2025 · similarity 0.91)
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