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Sharpness-Aware Minimization Activates the Interactive Teaching's Understanding and Optimization
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Frames co-teaching as an EM-style iterative estimation under noisy labels and adds a SAM-style sharpness (gradient-perturbation) exchange between two peer networks, yielding Sharpness Reduction Interactive Teaching (SRIT), evaluated on noisy-label image classification benchmarks.
Problem
Interactive teaching methods such as co-teaching lack theoretical analysis of their optimization principles and convergence, and their generalization behavior under noisy labels is poorly understood.
Approach
Interprets co-teaching's small-loss sample selection as removing high-loss regions of the loss landscape and as an EM iteration with cleanliness as latent variable; adds a second level of exchange in which each network's SAM perturbation gradient, computed on the peer's selected samples, is used for the update (SRIT).
Key results
- SRIT outperforms co-teaching in all reported settings, e.g. CIFAR100 symmetric 20% noise: 59.66% vs 50.21%.
- On MNIST symmetric 20% noise, SRIT reaches 99.42% vs 97.50% for co-teaching.
- SRCNLCU (SAM applied to CNLCU) improves over CNLCU, e.g. CIFAR100 symmetric 20%: 55.84% vs 46.27%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add SAM-based sharpness reduction to co-teaching | Co-teaching (SRIT) · MNIST, symmetric noise 20% | test accuracy (%): 97.50 -> 99.42 | Helped |
| Add SAM-based sharpness reduction to co-teaching | Co-teaching (SRIT) · CIFAR10, symmetric noise 20% | test accuracy (%): 82.15 -> 85.64 | Helped |
| Add SAM-based sharpness reduction to co-teaching | Co-teaching (SRIT) · CIFAR100, symmetric noise 20% | test accuracy (%): 50.21 -> 59.66 | Helped |
| Add SAM-based sharpness reduction to co-teaching | Co-teaching (SRIT) · FMNIST, symmetric noise 20% | test accuracy (%): 91.13 -> 92.68 | Helped |
| Add SAM-based sharpness reduction to co-teaching | Co-teaching (SRIT) · SVHN, symmetric noise 20% | test accuracy (%): 91.83 -> 94.95 | Helped |
| Add SAM to CNLCU-H | CNLCU-H (SRCNLCU-H) · MNIST, symmetric noise 20% | test accuracy (%): 98.70 -> 99.16 | Helped |
| Add SAM to CNLCU-H | CNLCU-H (SRCNLCU-H) · CIFAR10, symmetric noise 20% | test accuracy (%): 83.03 -> 85.43 | Helped |
| Add SAM to CNLCU-H | CNLCU-H (SRCNLCU-H) · CIFAR100, symmetric noise 20% | test accuracy (%): 46.27 -> 55.84 | Helped |
Limitations
- Paper acknowledges SAM's additional computational cost and plans to reduce it in future work.
- Experiments limited to small image classification benchmarks with a 9-layer CNN and synthetic label noise.
- Theoretical EM convergence argument is relatively informal and guarantees only local optima.
Experimental setup
Datasets: MNIST FMNIST CIFAR10 CIFAR100 SVHN
Benchmarks: MNIST FMNIST CIFAR10 CIFAR100 SVHN
Metrics: test accuracy (average of last ten epochs, 95% confidence in
Baselines: co-teaching CNLCU
Builds on: co-teaching sharpness-aware minimization CNLCU
Closest papers by meaning
- Sharpness-Aware Minimization Efficiently Selects Flatter Minima Late In Training (ICLR 2025 · similarity 0.85)
- Unveiling m-Sharpness Through the Structure of Stochastic Gradient Noise (NeurIPS 2025 · similarity 0.85)
- A Universal Class of Sharpness-Aware Minimization Algorithms (ICML 2024 · similarity 0.85)
- Zeroth-Order Sharpness-Aware Learning with Exponential Tilting (NeurIPS 2026 · similarity 0.85)
- Explicit Eigenvalue Regularization Improves Sharpness-Aware Minimization (NeurIPS 2024 · similarity 0.84)
- $\boldsymbol{\mu}\mathbf{P^2}$: Effective Sharpness Aware Minimization Requires Layerwise Perturbation Scaling (NeurIPS 2024 · similarity 0.84)
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