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A fast pivot-based indexing algorithm for metric spaces

机译:基于快速数据透视的度量空间索引算法

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摘要

This work focus on fast nearest neighbor (NN) search algorithms that can work in any metric space (not just the Euclidean distance) and where the distance computation is very time consuming. One of the most well known methods in this field is the AESA algorithm, used as baseline for performance measurement for over twenty years. The AESA works in two steps that repeats: first it searches a promising candidate to NN and computes its distance (approximation step), next it eliminates all the unsuitable NN candidates in view of the new information acquired in the previous calculation (elimination step). This work introduces the PiAESA algorithm. This algorithm improves the performance of the AESA algorithm by splitting the approximation criterion: on the first iterations, when there is not enough information to find good NN candidates, it uses a list of pivots (objects in the database) to obtain a cheap approximation of the distance function. Once a good approximation is obtained it switches to the AESA usual behavior. As the pivot list is built in preprocessing time, the run time of PiAESA is almost the same than the AESA one. In this work, we report experiments comparing with some competing methods. Our empirical results show that this new approach obtains a significant reduction of distance computations with no execution time penalty.
机译:这项工作着重于可以在任何度量空间(不仅是欧几里得距离)中工作且距离计算非常耗时的快速最近邻(NN)搜索算法。 AESA算法是该领域最知名的方法之一,被用作20多年来性能评估的基准。 AESA分两个步骤重复进行:首先,它搜索有希望的候选人到NN,然后计算其距离(近似步骤),其次,鉴于先前计算中获得的新信息(消除步骤),它消除了所有不合适的NN候选人。这项工作介绍了PiAESA算法。该算法通过分割近似标准来提高AESA算法的性能:在第一次迭代中,当没有足够的信息来找到良好的NN候选者时,它使用数据透视表(数据库中的对象)列表来获得廉价的近似值。距离函数。一旦获得良好的近似值,它将切换到AESA的常规行为。由于数据透视表列表是建立在预处理时间中的,因此PiAESA的运行时间几乎与AESA的运行时间相同。在这项工作中,我们报告了与一些竞争方法进行比较的实验。我们的经验结果表明,这种新方法大大减少了距离计算,并且没有执行时间损失。

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