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Optimal Mini-Batch and Step Sizes for SAGA
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the practical expected-smoothness estimate to choose the SAGA step size and mini-batch size | b-nice SAGA · LIBSVM and UCI datasets | empirical total complexity | Helped |
| Use the practical step size and mini-batch size instead of the Hofmann settings with b=20 | b-nice SAGA · Ridge regression and regularized logistic regression datasets | empirical performance | Helped |
| Choose the practical mini-batch size instead of the grid-search mini-batch size | b-nice SAGA · Ridge regression, unscaled slice dataset | empirical total complexity | No clear effect |
| Increase the mini-batch size up to the predicted optimal size | b-nice SAGA · Strongly convex GLMs | total complexity | Helped |
| Increase the mini-batch size beyond the predicted optimal size | b-nice SAGA · Strongly convex GLMs | total complexity | Hurt |
| Use the practical expected-smoothness estimate instead of the exact expected-smoothness constant (ablation) | b-nice SAGA · Artificial ridge-regression datasets | expected smoothness | No clear effect |
| Use the simple bound instead of the Bernstein bound (ablation) | b-nice SAGA · Datasets with n much greater than d | expected-smoothness bound tightness | Helped |
| Use the Bernstein bound instead of the simple bound (ablation) | b-nice SAGA · Datasets with d close to or greater than n, or scaled data | expected-smoothness bound tightness | Helped |
| Use the practical step size instead of the Hofmann step size for mini-batches larger than 5 (ablation) | b-nice SAGA · Artificial and real datasets | step size | Helped |
Closest papers by meaning
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