资源论文Maximum Selection and Ranking under Noisy Comparisons

Maximum Selection and Ranking under Noisy Comparisons

2020-03-09 | |  58 |   50 |   0

Abstract

We consider (ε,δ)-PAC maximum-selection and ranking using pairwise comparisons for general probabilistic models whose comparison probabilities satisfy strong stochastic transitivity an stochastic triangle inequality. Modifying the popular knockout tournament, we propose a simple maximum-selection algorithm that uses 图片.png comparisons, optimal up to a constant factor. We then derive a general framework that uses noisy binary search to speed up many ranking algorithms, and combine it with merge sort to obtain a ranking algorithm that uses 图片.png comparisons for 图片.png optimal up to 图片.png factor.

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