Stochastic iterative methods for online rank aggregation from pairwise comparisons

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Benjamin Jarman, Lara Kassab, Deanna Needell, Alexander Sietsema
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引用次数: 0

Abstract

In this paper, we consider large-scale ranking problems where one is given a set of (possibly non-redundant) pairwise comparisons and the underlying ranking explained by those comparisons is desired. We show that stochastic gradient descent approaches can be leveraged to offer convergence to a solution that reveals the underlying ranking while requiring low-memory operations. We introduce several variations of this approach that offer a tradeoff in speed and convergence when the pairwise comparisons are noisy (i.e., some comparisons do not respect the underlying ranking). We prove theoretical results for convergence almost surely and study several regimes including those with full observations, partial observations, and noisy observations. Our empirical results give insights into the number of observations required as well as how much noise in those measurements can be tolerated.

Abstract Image

通过成对比较进行在线排名汇总的随机迭代法
在本文中,我们考虑了大规模排序问题,即给定一组(可能是非冗余的)成对比较,并希望得到这些比较所解释的基本排序。我们表明,可以利用随机梯度下降方法来提供收敛到揭示基本排名的解决方案,同时只需要低内存操作。我们介绍了这种方法的几种变体,当成对比较存在噪声时(即某些比较不尊重基本排序),这些变体可以在速度和收敛性之间做出权衡。我们证明了几乎肯定收敛的理论结果,并研究了几种情况,包括完全观察、部分观察和噪声观察。我们的经验结果让我们深入了解了所需的观察次数以及这些测量中可容忍的噪声程度。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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