Adaptive Exploration-Exploitation Tradeoff for Opportunistic Bandits

Adaptive Exploration-Exploitation Tradeoff for Opportunistic Bandits
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发表时间:
2017-09
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通讯作者:
Huasen Wu;Xueying Guo;Xin Liu
Huasen Wu;Xueying Guo;Xin Liu
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其他
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作者:
Huasen Wu;Xueying Guo;Xin Liu

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在本文中,我们提出并研究了机会主义强盗-一个新的变种强盗拉一个次优的手臂在不同的环境条件下,如网络负载或产品价格变化的遗憾。当负载/价格低时,拉动次优臂的成本/遗憾也低(例如,尝试次优网络配置)。因此,直观地说,我们可以在负载/价格较低时进行更多探索,而在负载/价格较高时进行更多开发。受这种直觉的启发,我们提出了一个自适应置信上限(AdaUCB)算法,以适应性地平衡机会主义强盗的探索-利用权衡。我们证明了AdaUCB实现$O(\log T)$遗憾与一个更小的系数比传统的UCB算法。此外,当负载水平低于某个阈值时,如果探索成本为零,则AdaUCB相对于$T$实现$O(1)$遗憾。最后,基于模拟数据和真实数据的实验结果表明,AdaUCB算法在较大的负载/价格波动下,性能明显优于UCB和TS(Thompson Sampling)等其他Bandit算法。
In this paper, we propose and study opportunistic bandits - a new variant of bandits where the regret of pulling a suboptimal arm varies under different environmental conditions, such as network load or produce price. When the load/price is low, so is the cost/regret of pulling a suboptimal arm (e.g., trying a suboptimal network configuration). Therefore, intuitively, we could explore more when the load/price is low and exploit more when the load/price is high. Inspired by this intuition, we propose an Adaptive Upper-Confidence-Bound (AdaUCB) algorithm to adaptively balance the exploration-exploitation tradeoff for opportunistic bandits. We prove that AdaUCB achieves $O(\log T)$ regret with a smaller coefficient than the traditional UCB algorithm. Furthermore, AdaUCB achieves $O(1)$ regret with respect to $T$ if the exploration cost is zero when the load level is below a certain threshold. Last, based on both synthetic data and real-world traces, experimental results show that AdaUCB significantly outperforms other bandit algorithms, such as UCB and TS (Thompson Sampling), under large load/price fluctuations.