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基于比较数据的排名分数推断的加速MM算法

Accelerated MM Algorithms for Inference of Ranking Scores from Comparison Data

Operations Research · 2022
被引 2
人大 AFT50UTD24ABS 4*

中文导读

针对广义Bradley-Terry排名模型中MM算法收敛慢的问题,提出一种加速算法,显著提升收敛速度,适用于信息检索、社交意见聚合等场景。

Abstract

Accelerated Algorithms for Ranking Assigning ranking scores to items based on observed comparison data (e.g., paired comparisons, choice, and full ranking outcomes) has been of continued interest in a wide range of applications, including information search, aggregation of social opinions, electronic commerce, online gaming platforms, and more recently, evaluation of machine learning algorithms. The key problem is to compute ranking scores, which are of interest for quantifying the strength of skills, relevancies, or preferences, and prediction of ranking outcomes. One of the most popular statistical models of ranking outcomes is the Bradley–Terry model for paired comparisons and its extensions to choice and full ranking outcomes. In “Accelerated MM Algorithms for Inference of Ranking Scores from Comparison Data,” M. Vojnovic, S.-Y. Yun, and K. Zhou show that a popular MM algorithm for inference of ranking scores for generalized Bradley–Terry ranking models suffers a slow convergence issue, and they propose a new accelerated algorithm that resolves this shortcoming and can yield substantial convergence speedups.

排名推断Bradley-Terry模型MM算法机器学习评估