سند علمی

G : Bandits , Experts and Games 09 / 12 / 16 Lecture 4 : Lower Bounds ( ending ) ; Thompson Sampling

چکیده

Here is a parameter to be adjusted in the analysis. Recall that K is the number of arms. We considered a “bandits with predictions” problem, and proved that it is impossible to make an accurate prediction with high probability if the time horizon is too small, regardless of what bandit algorithm we use to explore and make the prediction. In fact, we proved it for at least a third of problem instances Ij : Lemma 1.1. Suppose T ≤ cK 2 , for a small enough absolute constant c. Fix any deterministic algorithm for “bandits with prediction”. Then there exists at least dK/3e arms j such that

اسناد مشابه