Bandits with Feedback Graphs and Switching Costs

07/29/2019

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by   Raman Arora, et al.

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We study the adversarial multi-armed bandit problem where partial observations are available and where, in addition to the loss incurred for each action, a switching cost is incurred for shifting to a new action. All previously known results incur a factor proportional to the independence number of the feedback graph. We give a new algorithm whose regret guarantee depends only on the domination number of the graph. We further supplement that result with a lower bound. Finally, we also give a new algorithm with improved policy regret bounds when partial counterfactual feedback is available.