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A Model-Based Method for Minimizing CVaR and Beyond

ICML 2023 · Optimization › Optimizers · approach: Randomized gradient estimation · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace stochastic subgradient with stochastic prox-linear (tighter truncated model) for CVaRCVaR minimization · synthetic and real CVaR tasks, β=0.95robustness to step sizeHelped
Use two separate regularization parameters with units-based defaults (SPL+) instead of a single step size (ablation)SPL · synthetic smooth losses, β=0.95range of good step sizes λHelped
Use SPL+ with separate regularization instead of SGMCVaR on absolute loss · synthetic absolute losssensitivity to λNo clear effect
Use SPL+ with separate regularization instead of SGMleast squares on YearPredictionMSD and E2006-tfidf · real regression datasetsbest achieved suboptimalityMixed
Use SPL/SPL+ instead of SGMlogistic regression on Covertype and mushrooms · real classification datasetssuboptimality vs λHelped
Set λ=1 default for SPL+ via unit-balanced scalingSPL+ · real regression datasetsbest λ locationHelped

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