Title
Re-randomized Densification for One Permutation Hashing and Bin-wise Consistent Weighted Sampling
Abstract
Jaccard similarity is widely used as a distance measure in many machine learning and search applications. Typically, hashing methods are essential for the use of Jaccard similarity to be practical in large-scale settings. For hashing binary (0/1) data, the idea of one permutation hashing (OPH) with densification significantly accelerates traditional minwise hashing algorithms while providing unbiased and accurate estimates. In this paper, we propose a "re-randomization" strategy in the process of densification and we show that it achieves the smallest variance among existing densification schemes. The success of this idea inspires us to generalize one permutation hashing to weighted (non-binary) data, resulting in the so-called "bin-wise consistent weighted sampling (BCWS)" algorithm. We analyze the behavior of BCWS and compare it with a recent alternative. Experiments on a range of datasets and tasks confirm the effectiveness of proposed methods. We expect that BCWS will be adopted in practice for training kernel machines and fast similarity search.
Year
Venue
Keywords
2019
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 32 (NIPS 2019)
jaccard similarity
Field
DocType
Volume
Bin,Computer science,Permutation,Algorithm,Sampling (statistics),Hash function,Artificial intelligence,Machine learning
Conference
32
ISSN
Citations 
PageRank 
1049-5258
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Ping Li11672127.72
Li, Xiaoyun201.35
Cun-Hui Zhang317418.38