Research map / Optimization / Implicit bias and generalization
How to Escape Sharp Minima with Random Perturbations
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use Sharpness-Aware Perturbation instead of Randomly Smoothed Perturbation | flat-minimum finding algorithms · Training loss | iterations to find a flat minimum: d\epsilon^{-1} \min\{ 1, \epsilon d^3\} times larger than the decrease | Helped |
| use stochastic gradients for the outer perturbation instead of full-batch gradients (ablation) | Sharpness-Aware Perturbation · Training loss | trace of Hessian decrease: d times larger gradient | Helped |
| use batch size 1 instead of batch size 64 or 128 (ablation) | Sharpness-Aware Perturbation · CIFAR10 | escape from sharp minima | Helped |
| use Sharpness-Aware Perturbation instead of Randomly Smoothed Perturbation | ResNet-18 · CIFAR10 | escape from sharp minima | Helped |
Closest papers by meaning
- Zeroth-Order Optimization Finds Flat Minima (NeurIPS 2025 · similarity 0.89)
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- A Universal Class of Sharpness-Aware Minimization Algorithms (ICML 2024 · similarity 0.87)
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- Tilted Sharpness-Aware Minimization (ICML 2025 · similarity 0.87)
- Sharpness-Aware Minimization Enhances Feature Quality via Balanced Learning (ICLR 2024 · similarity 0.87)
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