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A Model-Based Method for Minimizing CVaR and Beyond
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace stochastic subgradient with stochastic prox-linear (tighter truncated model) for CVaR | CVaR minimization · synthetic and real CVaR tasks, β=0.95 | robustness to step size | Helped |
| Use two separate regularization parameters with units-based defaults (SPL+) instead of a single step size (ablation) | SPL · synthetic smooth losses, β=0.95 | range of good step sizes λ | Helped |
| Use SPL+ with separate regularization instead of SGM | CVaR on absolute loss · synthetic absolute loss | sensitivity to λ | No clear effect |
| Use SPL+ with separate regularization instead of SGM | least squares on YearPredictionMSD and E2006-tfidf · real regression datasets | best achieved suboptimality | Mixed |
| Use SPL/SPL+ instead of SGM | logistic regression on Covertype and mushrooms · real classification datasets | suboptimality vs λ | Helped |
| Set λ=1 default for SPL+ via unit-balanced scaling | SPL+ · real regression datasets | best λ location | Helped |
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