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线性随机带的改进算法

Improved Algorithms for Linear Stochastic Bandits
课程网址: http://videolectures.net/nips2011_abbasi_yadkori_stochastic/  
主讲教师: Yasin Abbasi-Yadkori
开课单位: 阿尔伯塔大学
开课时间: 2012-09-06
课程语种: 英语
中文简介:
我们改进了随机多臂强盗问题和线性随机多臂强盗问题算法的理论分析和实证表现。特别地,我们表明Auer的UCB算法(Auer,2002)的简单修改以高概率恒定遗憾实现。更重要的是,我们修改并因此改进了Auer(2002),Dani等人研究的线性随机强盗问题算法的分析。 (2008),Rusmevichientong和Tsitsiklis(2010),Li等。 (2010年)。我们的修改改善了对数因子的后悔,尽管实验显示了巨大的改进。在这两种情况下,改进都源于建立较小的置信区间。对于他们的构造,我们使用一个新的尾部不等式为矢量值鞅。
课程简介: We improve the theoretical analysis and empirical performance of algorithms for the stochastic multi-armed bandit problem and the linear stochastic multi-armed bandit problem. In particular, we show that a simple modification of Auer’s UCB algorithm (Auer, 2002) achieves with high probability constant regret. More importantly, we modify and, consequently, improve the analysis of the algorithm for the for linear stochastic bandit problem studied by Auer (2002), Dani et al. (2008), Rusmevichientong and Tsitsiklis (2010), Li et al. (2010). Our modification improves the regret bound by a logarithmic factor, though experiments show a vast improvement. In both cases, the improvement stems from the construction of smaller confidence sets. For their construction we use a novel tail inequality for vector-valued martingales.
关 键 词: 随机多臂强盗问题; 置信区间; 矢量值鞅
课程来源: 视频讲座网
最后编审: 2019-07-26:cwx
阅读次数: 104