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Chin. Phys. B, 2014, Vol. 23(8): 080203    DOI: 10.1088/1674-1056/23/8/080203
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Improved locality-sensitive hashing method for the approximate nearest neighbor problem

Lu Ying-Huaa, Ma Ting-Huaia b, Zhong Shui-Minga, Cao Jiec, Wang Xind, Abdullah Al-Dhelaane
a Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science & Technology, Nanjing 210044, China;
b School of Computer & Software, Nanjing University of Information Science & Technology, Nanjing 210044, China;
c School of Economic & Management, Nanjing University of Information Science & Technology, Nanjing 210044, China;
d Huafeng Meteorological Media Group, Beijing 100086, China;
e Computer Science Department, College of Computer and Information Science, King Saud University, Riyadh 11362, Saudi Arabia
Abstract  In recent years, the nearest neighbor search (NNS) problem has been widely used in various interesting applications. Locality-sensitive hashing (LSH), a popular algorithm for the approximate nearest neighbor problem, is proved to be an efficient method to solve the NNS problem in the high-dimensional and large-scale databases. Based on the scheme of p-stable LSH, this paper introduces a novel improvement algorithm called randomness-based locality-sensitive hashing (RLSH) based on p-stable LSH. Our proposed algorithm modifies the query strategy that it randomly selects a certain hash table to project the query point instead of mapping the query point into all hash tables in the period of the nearest neighbor query and reconstructs the candidate points for finding the nearest neighbors. This improvement strategy ensures that RLSH spends less time searching for the nearest neighbors than the p-stable LSH algorithm to keep a high recall. Besides, this strategy is proved to promote the diversity of the candidate points even with fewer hash tables. Experiments are executed on the synthetic dataset and open dataset. The results show that our method can cost less time consumption and less space requirements than the p-stable LSH while balancing the same recall.
Keywords:  approximate nearest neighbor problem      locality-sensitive hashing     
Received:  16 October 2013      Published:  15 August 2014
PACS:  02.50.Cw (Probability theory)  
  02.50.Ey (Stochastic processes)  
  02.50.Fz (Stochastic analysis)  
  02.60.Gf (Algorithms for functional approximation)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61173143) and the Special Public Sector Research Program of China (Grant No. GYHY201206030). The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No. RGP-VPP-264.
Corresponding Authors:  Ma Ting-Huai     E-mail:  thma@nuist.edu.cn

Cite this article: 

Lu Ying-Hua, Ma Ting-Huai, Zhong Shui-Ming, Cao Jie, Wang Xin, Abdullah Al-Dhelaan Improved locality-sensitive hashing method for the approximate nearest neighbor problem 2014 Chin. Phys. B 23 080203

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