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Nonuniform vote aggregation algorithms

机译:非均匀投票聚合算法

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摘要

We consider the problem of non-uniform vote aggregation, and in particular, the algorithmic aspects associated with the aggregation process. For a novel class of weighted distance measures on votes, we present two different aggregation methods. The first algorithm is based on approximating the weighted distance measure by Spearman's footrule distance, with provable constant approximation guarantees. The second algorithm is based on a non-uniform Markov chain method inspired by PageRank, for which currently only heuristic guarantees are known. We illustrate the performance of the proposed algorithms on a number of distance measures for which the optimal solution may be easily computed.
机译:我们考虑投票表决聚合不统一的问题,尤其是与聚合过程相关的算法方面。对于一类新颖的加权距离测度,我们提出了两种不同的汇总方法。第一种算法是基于用Spearman的尺距来近似加权距离度量,并具有可证明的常数近似保证。第二种算法基于受PageRank启发的非均匀马尔可夫链方法,目前仅知道启发式保证。我们在许多距离度量上说明了所提出算法的性能,可以轻松地计算出最佳解。

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