Research map / Optimization / Implicit bias and generalization
SGD with Large Step Sizes Learns Sparse Features
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Extend the large-step-size loss-stabilization phase before decaying the step size | SGD training schedules · Diagonal linear networks, ReLU networks, and deep networks | generalization | Helped |
| Use a large-step-size schedule instead of a small-step-size schedule | DenseNet-100-12 · CIFAR-100, basic setting | test error: 60% -> 35% | Helped |
| Use a large-step-size schedule with loss stabilization | ResNet-18 · CIFAR-10 | test error: 35% -> 12% | Helped |
| Extend the large-step-size loss-stabilization phase | SGD-trained neural networks · Diagonal linear, ReLU, and deep-network experiments | feature sparsity | Helped |
| Remove the noise term from the SDE discretization (ablation) | SDE model of SGD · Diagonal linear and simple ReLU experiments | feature sparsity | Hurt |
| Use a larger step size, even when it prevents fitting all training points | Two-layer ReLU network · 1D regression | training fit | Hurt |
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