Title
Explicit Embeddings for Nearest Neighbor Search with Mercer Kernels
Abstract
Many approximate nearest neighbor search algorithms operate under memory constraints, by computing short signatures for database vectors while roughly keeping the neighborhoods for the distance of interest. Encoding procedures designed for the Euclidean distance have attracted much attention in the last decade. In the case where the distance of interest is based on a Mercer kernel, we propose a simple, yet effective two-step encoding scheme: first, compute an explicit embedding to map the initial space into a Euclidean space; second, apply an encoding step designed to work with the Euclidean distance. Comparing this simple baseline with existing methods relying on implicit encoding, we demonstrate better search recall for similar code sizes with the chi-square kernel in databases comprised of visual descriptors, outperforming concurrent state-of-the-art techniques by a large margin.
Year
DOI
Venue
2015
10.1007/s10851-015-0555-2
Journal of Mathematical Imaging and Vision
Keywords
Field
DocType
Explicit embeddings,Nearest Neighbor search,Mercer kernels
Fixed-radius near neighbors,Artificial intelligence,Nearest neighbor search,Kernel (linear algebra),Computer vision,Embedding,Euclidean distance,Algorithm,Euclidean space,Recall,Machine learning,Mathematics,Encoding (memory)
Journal
Volume
Issue
ISSN
52
3
0924-9907
Citations 
PageRank 
References 
2
0.39
21
Authors
5
Name
Order
Citations
PageRank
Anthony Bourrier1241.56
Florent Perronnin25448291.48
Rémi Gribonval3120783.59
Patrick Pérez46529391.34
Hervé Jégou55682247.98