HashFile:多媒体数据的高效索引结构

Dongxiang Zhang, D. Agrawal, Gang Chen, A. Tung
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引用次数: 22

摘要

高维空间的最近邻搜索是许多多媒体检索应用中必不可少的查询。由于维度的诅咒,在回答精确的神经网络查询时,现有的索引结构可能比简单的数据顺序扫描执行得更差。为了提高神经网络的搜索效率,提出了局部敏感哈希(LSH)及其变体来寻找近似的神经网络。它们采用了能够保持欧氏距离的哈希函数,使得相似的对象在同一桶中有很高的碰撞概率。给定一个查询对象,通过访问位于同一桶中的点来获得查询结果的候选对象。为了提高精度,每个哈希表与m个哈希函数相关联,以递归地将数据点哈希到更小的桶中,并删除误报。另一方面,需要多个哈希表来保证高检索召回率。因此,在精度和召回率之间进行优化成为LSH的主要挑战。最近,为了保证质量和效率,提出了位置敏感b树(LSB-tree)。但是,索引使用随机I/O访问。当多媒体数据库比较大时,需要相当大的磁盘I/O成本才能获得在实践中有效的近似比率。在本文中,我们提出了一种新的索引结构,称为HashFile,用于高效地检索多媒体对象。它结合了随机投影和线性扫描的优点。与LSH家族不同,在LSH家族中,每个桶与m个哈希值的串联相关联,我们只对密集桶进行递归分区,并将它们组织为树结构。给定查询点q,搜索算法以自顶向下的方式搜索查询对象附近的桶。每个节点中的候选桶按照哈希值的递增顺序依次存储,并且可以有效地加载到内存中进行线性扫描。HashFile可以支持精确和近似的NN查询。实验结果表明,HashFile在回答两种类型的神经网络查询时都比现有索引性能更好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
HashFile: An efficient index structure for multimedia data
Nearest neighbor (NN) search in high dimensional space is an essential query in many multimedia retrieval applications. Due to the curse of dimensionality, existing index structures might perform even worse than a simple sequential scan of data when answering exact NN query. To improve the efficiency of NN search, locality sensitive hashing (LSH) and its variants have been proposed to find approximate NN. They adopt hash functions that can preserve the Euclidean distance so that similar objects have a high probability of colliding in the same bucket. Given a query object, candidate for the query result is obtained by accessing the points that are located in the same bucket. To improve the precision, each hash table is associated with m hash functions to recursively hash the data points into smaller buckets and remove the false positives. On the other hand, multiple hash tables are required to guarantee a high retrieval recall. Thus, tuning a good tradeoff between precision and recall becomes the main challenge for LSH. Recently, locality sensitive B-tree(LSB-tree) has been proposed to ensure both quality and efficiency. However, the index uses random I/O access. When the multimedia database is large, it requires considerable disk I/O cost to obtain an approximate ratio that works in practice. In this paper, we propose a novel index structure, named HashFile, for efficient retrieval of multimedia objects. It combines the advantages of random projection and linear scan. Unlike the LSH family in which each bucket is associated with a concatenation of m hash values, we only recursively partition the dense buckets and organize them as a tree structure. Given a query point q, the search algorithm explores the buckets near the query object in a top-down manner. The candidate buckets in each node are stored sequentially in increasing order of the hash value and can be efficiently loaded into memory for linear scan. HashFile can support both exact and approximate NN queries. Experimental results show that HashFile performs better than existing indexes both in answering both types of NN queries.
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