arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.08483cs.DBcs.CG
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改进反向k最近邻查询

Improving Reverse k Nearest Neighbors Queries

Lixin Ye

AI总结:

本文针对反向k最近邻查询问题,提出基于圆锥曲线的高效验证方法,并在VoR-tree上实现复杂度为O(k^{1.5}·log k)的算法,实验证明其效率显著优于现有最先进方法。

摘要:

反向k最近邻查询找出所有将查询点作为其k个最近邻之一的点,其中kNN查询找出距离其查询点最近的k个点。基于圆锥曲线,我们提出了一种高效的RkNN验证方法。通过使用所提出的验证方法,我们在VoR-tree上实现了一种高效的RkNN算法,其计算复杂度为O(k^{1.5}·log k)。我们进行了对比实验,将我们的算法与其他两种最先进的RkNN算法进行比较。实验结果表明,我们的算法效率显著高于其竞争对手。

英文摘要:

The reverse $k$ nearest neighbor query finds all points that have the query point as one of their $k$ nearest neighbors, where the $k$NN query finds the $k$ closest points to its query point. Based on conics, we propose an efficent R$k$NN verification method. By using the proposed verification method, we implement an efficient R$k$NN algorithm on VoR-tree, which has a computational complexity of $O(k^{1.5}\cdot log\,k)$. The comparative experiments are conducted between our algorithm and other two state-of-the-art R$k$NN algorithms. The experimental results indicate that the efficiency of our algorithm is significantly higher than its competitors.

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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