桥接对抗性与非平稳多臂老虎机
Bridging Adversarial and Nonstationary Multi-armed Bandit
AI总结:
本文提出统一的多臂老虎机框架,通过基于时间窗口的预言机平滑桥接对抗性与非平稳特例,并给出达到最优遗憾匹配下界的算法。
摘要:
在多臂老虎机框架中,通常有两种形式来处理随时间变化的奖励分布:对抗性老虎机和非平稳老虎机。尽管它们的预言机、算法和遗憾分析差异显著,但本文提供了一个统一的形式,将两者作为特例平滑地桥接起来。该形式使用一个在时间窗口内选取最佳固定臂的预言机。根据窗口大小的不同,它分别变为对抗性老虎机中的事后预言机和非平稳老虎机中的动态预言机。我们提供了达到最优遗憾并匹配下界的算法。
英文摘要:
In the multi-armed bandit framework, there are two formulations that are commonly employed to handle time-varying reward distributions: adversarial bandit and nonstationary bandit. Although their oracles, algorithms, and regret analysis differ significantly, we provide a unified formulation in this paper that smoothly bridges the two as special cases. The formulation uses an oracle that takes the best-fixed arm within time windows. Depending on the window size, it turns into the oracle in hindsight in the adversarial bandit and dynamic oracle in the nonstationary bandit. We provide algorithms that attain the optimal regret with the matching lower bound.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。