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异质偏好下排名恢复所需重复成对比较次数研究

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2026年10月9日,arXiv Machine Learning Theory(一手)发表研究,分析在异质 Bradley-Terry 模型下,按总体平均效用进行排序所需的重复两两比较次数。研究证明,朴素 MLE 算法需要 Ω(1/Δ²) 次比较;而两种 MLE 变体与 Russian Roulette 随机算法仅需 O(log(1/Δ)) 次比较,并证明该对数依赖是最优的。

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Oct 9, 2026
  1. arXiv · Machine Learning Theory
    异质偏好下排序恢复需要多少次重复两两比较

    该研究在异质 Bradley-Terry 模型下分析按总体平均效用做排序所需的重复两两比较次数,证明朴素 MLE 算法需 Ω(1/Δ²) 次、两种 MLE 变体与 Russian Roulette 随机算法仅需 O(log(1/Δ)) 次且该对数依赖最优。

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