Research map / Learning theory and algorithms / Prediction and decision losses
A Distribution Optimization Framework for Confidence Bounds of Risk Measures
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the local Lipschitz constant (supremum distance) instead of the global constant for the CVaR confidence bound | Distribution optimization framework · CVaR, supremum distance | confidence bound tightness: (b-a)/alpha -> (b-F^{-1}((1-alpha-c)^+))/alpha | Helped |
| Use the exact optimization-based bound instead of the LLC-based bound for CVaR under a uniform distribution | Distribution optimization framework · CVaR, uniform distribution, supremum distance | confidence bound tightness | Helped |
| Use local instead of global Lipschitz constant for CVaR with Wasserstein distance (p=1) | Distribution optimization framework · CVaR, Wasserstein distance | Lipschitz constant | No clear effect |
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