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Online EXP3 Learning in Adversarial Bandits with Delayed Feedback

Ilai Bistritz, Zhengyuan Zhou, Xi Chen, Nicholas Bambos, Jose Blanchet

Neural Information Processing Systems

Consider a player that in each of T rounds chooses one of K arms. An adversary chooses the cost of each arm in a bounded interval, and a sequence of feedback delays {dt} that are unknown to the player. After picking arm at at round t, the player receives the cost of playing this arm dt rounds later. In cases where t + dt > T, this feedback is simply missing.




ANear-OptimalBest-of-Both-WorldsAlgorithm forOnlineLearningwithFeedbackGraphs

Neural Information Processing Systems

We present a computationally efficient algorithm for learning in this framework that simultaneously achieves near-optimal regret bounds in both stochastic and adversarial environments. The bound against oblivious adversaries is O( αT), where T is the time horizon andα is the independence number of the feedback graph.