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An index structure for efficient reverse nearest neighbor queries

机译:有效反向最近邻居查询的索引结构

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The Reverse Nearest Neighbor (RNN) problem is to find all points in a given data set whose nearest neighbor is a given query point. Just like the Nearest Neighbor (NN) queries, the RNN queries appear in many practical situations such as marketing and resource management. Thus, efficient methods for the RNN queries in databases are required. The paper introduces a new index structure, the Rdnn-tree, that answers both RNN and NN queries efficiently. A single index structure is employed for a dynamic database, in contrast to the use of multiple indexes in previous work. This leads to significant savings in dynamically maintaining the index structure. The Rdnn-tree outperforms existing methods in various aspects. Experiments on both synthetic and real world data show that our index structure outperforms previous methods by a significant margin (more than 90% in terms of number of leaf nodes accessed) in RNN queries. It also shows improvement in NN queries over standard techniques. Furthermore, performance in insertion and deletion is significantly enhanced by the ability to combine multiple queries (NN and RNN) in one traversal of the tree. These facts make our index structure extremely preferable in both static and dynamic cases.
机译:反向最近邻(RNN)问题是在给定数据集中查找其最近邻为给定查询点的所有点。就像最近邻居(NN)查询一样,RNN查询出现在许多实际情况下,例如市场营销和资源管理。因此,需要用于数据库中的RNN查询的有效方法。本文介绍了一种新的索引结构,即Rdnn树,它可以有效地回答RNN和NN查询。与先前工作中使用多个索引相反,动态数据库采用单个索引结构。这样可以在动态维护索引结构方面节省大量资金。 Rdnn树在各个方面都优于现有方法。在合成数据和现实世界数据上进行的实验表明,在RNN查询中,我们的索引结构比以前的方法有显着优势(就访问的叶节点数而言超过90%)。它也显示了NN查询相对于标准技术的改进。此外,通过在树的一个遍历中组合多个查询(NN和RNN)的能力,显着提高了插入和删除的性能。这些事实使我们的索引结构在静态和动态情况下均极为可取。

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