BIDS algorithm for batched single-index global MAB with covariates achieves minimax-optimal regret rates when a pilot direction is accurate and K is fixed, avoiding the curse of dimensionality.
Li, Sliced inverse regression for dimension reduction, Journal of the American Statistical Associa- tion, 86 (1991), pp
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Batched Single-Index Global Multi-Armed Bandits with Covariates
BIDS algorithm for batched single-index global MAB with covariates achieves minimax-optimal regret rates when a pilot direction is accurate and K is fixed, avoiding the curse of dimensionality.