论文标题

在风险标准下,接近最佳的MNL土匪

Near-Optimal MNL Bandits Under Risk Criteria

论文作者

Xi, Guangyu, Tao, Chao, Zhou, Yuan

论文摘要

我们研究MNL土匪,这是风险标准下传统多军匪徒问题的变体。与普通的预期收入不同,风险标准是在行业和业务中广泛使用的更一般目标。我们为广泛的风险标准设计算法,包括但不限于众所周知的有条件价值,夏普比率和熵风险,并证明它们遭受了近乎最理想的遗憾。作为补充,我们还使用合成数据和真实数据进行实验,以显示我们提出的算法的经验性能。

We study MNL bandits, which is a variant of the traditional multi-armed bandit problem, under risk criteria. Unlike the ordinary expected revenue, risk criteria are more general goals widely used in industries and bussiness. We design algorithms for a broad class of risk criteria, including but not limited to the well-known conditional value-at-risk, Sharpe ratio and entropy risk, and prove that they suffer a near-optimal regret. As a complement, we also conduct experiments with both synthetic and real data to show the empirical performance of our proposed algorithms.

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