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Generalization Properties and Implicit Regularization for Multiple Passes SGM
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| multiple passes with early stopping (SIGM, fixed step) vs one pass SGM with tuned step-size | SIGM constant step 1/sqrt(m) · Adult n=32562 / BreastCancer / Ijcnn1 n=49990 | test error (hinge loss) | Mixed |
| decaying step-size with multiple passes (SIGM, theta=1/2) instead of constant step | SIGM decaying step 1/4, theta=1/2 · Adult / BreastCancer / Ijcnn1 (all n reported) | test error (hinge loss) | Hurt |
| multiple passes with early stopping (SIGM, constant step) vs one pass SGM in training time | SIGM constant step · Adult n=32562 | training time (s) | Hurt |
| SGM and SIGM vs LIBSVM training time on large datasets | SGM/SIGM · Adult n=32562 | training time (s) | Helped |
| step-size decay exponent theta (fixed step-size theta=0 vs larger theta) as regularizer in one-pass SGM (ablation) | SGM with decaying step-size eta_t = 1/4 t^-theta · Adult n=1000 | test error (hinge loss) | Mixed |
| large fixed step-size (eta=1) in SGM vs small step (1e-3) (ablation) | SGM fixed step-size · Adult n=1000 | test error (hinge loss) | Mixed |
| early stopping (number of passes) as regularizer in SIGM with fixed step 1/sqrt(n) (ablation) | SIGM fixed step 1/sqrt(n) · Adult n=1000 | test error (hinge loss) | Helped |
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