A parameterized UCBVI-style algorithm yields distributional regret bounds uniform in δ that achieve optimal expected-distributional trade-offs and confirm a prior conjecture for bandits.
Stochastic multi-armed bandits: Optimal trade-off among optimality, consistency, and tail risk
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Unified Framework of Distributional Regret in Multi-Armed Bandits and Reinforcement Learning
A parameterized UCBVI-style algorithm yields distributional regret bounds uniform in δ that achieve optimal expected-distributional trade-offs and confirm a prior conjecture for bandits.