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1 result for THV-UCB

A new algorithm THV-UCB reduces regret in multi-objective bandit problems.

problem Maintaining a small set of actions that jointly approximate the Pareto frontier in multi-objective slate selection.
method THV-UCB, an optimistic algorithm that selects arms based on optimistic estimates of their marginal hypervolume contributions.
result The algorithm achieves a gap-free regret bound of ildeO(dnkT) ilde{O}(d\sqrt{nkT}) and a gap-dependent bound of ildeO(nk2.5/Δmin) ilde{O}(nk^{2.5}/Δ_{\min}).