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Querying Metric Spaces with Bit Operations

机译:使用位操作查询度量空间

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摘要

Metric search techniques can be usefully characterised by the time at which distance calculations are performed during a query. Most exact search mechanisms use a "just-in-time" approach where distances are calculated as part of a navigational strategy. An alternative is to use a "one-time" approach, where distances to a fixed set of reference objects are calculated at the start of each query. These distances are typically used to re-cast data and queries into a different space where querying is more efficient, allowing an approximate solution to be obtained. In this paper we use a "one-time" approach for an exact search mechanism. A fixed set of reference objects is used to define a large set of regions within the original space, and each query is assessed with respect to the definition of these regions. Data is then accessed if, and only if, it is useful for the calculation of the query solution. As dimensionality increases, the number of defined regions must increase, but the memory required for the exclusion calculation does not. We show that the technique gives excellent performance over the SISAP benchmark data sets, and most interestingly we show how increases in dimensionality may be countered by relatively modest increases in the number of reference objects used.
机译:通过在查询期间执行距离计算的时间可以使用度量搜索技术。最精确的搜索机制使用“即时”方法,其中距离作为导航策略的一部分计算。替代方案是使用“一次性”方法,其中在每个查询的开始时计算到固定参考对象的距离。这些距离通常用于将数据和查询重新投入到Querying更有效的不同空间中,允许获得近似解决方案。在本文中,我们使用“一次性”方法进行精确的搜索机制。固定的一组参考对象用于在原始空间内定义大集区域,并且对这些区域的定义进行评估每个查询。然后,如果,如果它对计算查询解决方案很有用。随着维度的增加,定义区域的数量必须增加,但排除计算所需的内存不会增加。我们表明该技术对SISAP基准数据集提供了出色的性能,最有趣的是,我们展示了在所使用的参考对象的数量中相对适度的增加,可以通过相对适度的增加来抵消维度的增加。

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