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CSVD: approximate similarity searches in high-dimensional spaces usingclustering and singular value decomposition,

机译:CSVD:使用聚类和奇异值分解在高维空间中进行近似相似性搜索,

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Abstract: Many data-intensive applications, such as content-based retrieval of images or video from multimedia databases and similarity retrieval of patterns in data mining, require the ability of efficiently performing similarity queries. Unfortunately, the performance of nearest neighbor (NN) algorithms, the basis for similarity search, quickly deteriorates with the number of dimensions. In this paper we propose a method called Clustering with Singular Value Decomposition (CSVD), combining clustering and singular value decomposition (SVD) to reduce the number of index dimensions. With CSVD, points are grouped into clusters that are more amenable to dimensionally reduction than the original dataset. Experiments with texture vectors extracted from satellite images show that CSVD achieves significantly higher dimensionality reduction than SVD along for the same fraction of total variance preserved. Conversely, for the same compression ratio CSVD results in an increase in preserved total variance with respect to SVD (e.g., at 70% increase for a 20:1 compression ratio). Then, approximate NN queries are more efficiently processed, as quantified through experimental results.!28
机译:摘要:许多数据密集型应用程序,例如从多媒体数据库中基于内容的图像或视频的检索以及数据挖掘中模式的相似性检索,都需要有效执行相似性查询的能力。不幸的是,作为相似度搜索基础的最近邻(NN)算法的性能随着维数的增加而迅速恶化。在本文中,我们提出了一种称为奇异值分解聚类(CSVD)的方法,该方法将聚类和奇异值分解(SVD)结合起来以减少索引维数。使用CSVD,可以将点分组为比原始数据集更适合进行维数缩减的聚类。使用从卫星图像中提取的纹理矢量进行的实验表明,在保留总方差的相同部分的情况下,CSVD的降维性明显高于SVD。相反,对于相同的压缩率,CSVD导致相对于SVD的保留总方差增加(例如,对于20:1的压缩率,增加了70%)。然后,通过实验结果进行量化,可以更有效地处理近似的NN查询!28

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