arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.00172cs.DS
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Generalized Sorting with Predictions

Pinyan Lu, Xuandi Ren, Enze Sun, Yubo Zhang

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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