Statistical Efficiency of Thompson Sampling for Combinatorial Semi-Bandits

11 Jun 2020Pierre PerraultEtienne BoursierVianney PerchetMichal Valko

We investigate stochastic combinatorial multi-armed bandit with semi-bandit feedback (CMAB). In CMAB, the question of the existence of an efficient policy with an optimal asymptotic regret (up to a factor poly-logarithmic with the action size) is still open for many families of distributions, including mutually independent outcomes, and more generally the multivariate sub-Gaussian family... (read more)

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