论文标题

通用分类带有预测

Generalized Sorting with Predictions

论文作者

Lu, Pinyan, Ren, Xuandi, Sun, Enze, Zhang, Yubo

论文摘要

Huang等人首先引入了广义分类问题,也称为禁止比较的分类。以及需要$ \ tilde o(n^{3/2})$ probes的随机算法。我们研究了此问题,并对所有对允许比较作为输入的其他预测进行了其他预测。我们提出了一种随机算法,该算法使用$ o(n \ log n+w)$探针具有很高的概率和一种确定性算法,该算法使用$ o(nw)$ probes,其中$ w $是预测的错误数量。

Generalized sorting problem, also known as sorting with forbidden comparisons, was first introduced by Huang et al. together with a randomized algorithm which requires $\tilde O(n^{3/2})$ probes. We study this problem with additional predictions for all pairs of allowed comparisons as input. We propose a randomized algorithm which uses $O(n \log n+w)$ probes with high probability and a deterministic algorithm which uses $O(nw)$ probes, where $w$ is the number of mistakes made by prediction.

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