Title
Novel histograms kernels with structural properties.
Abstract
We study the space where histograms lie.We introduce some intuitive and desirable structural properties for measures.A new similarity measure for comparing histograms is proposed.We show that the proposed similarity is a conditionally positive definite kernel.Experiments on face recognition and image retrieval were done. This paper introduces a new similarity measure for comparing histograms, named Weighted Distribution Matching, which bases the comparison not only in the specific bin values but also in the shape of the histograms. It is proved that the proposed similarity is a conditionally positive definite kernel. The space where histograms lie is studied, and some intuitively desirable structural properties are introduced. The most representative measures of the state of art were compared on the basis of these properties. Experiments conducted on face recognition and image retrieval validate the proposal.
Year
DOI
Venue
2015
10.1016/j.patrec.2015.09.005
Pattern Recognition Letters
Keywords
Field
DocType
Histogram similarity,Kernel function,Face recognition,Image retrieval
Computer vision,Histogram,Facial recognition system,Pattern recognition,Similarity measure,Bin,Positive-definite matrix,Image retrieval,Artificial intelligence,Positive-definite kernel,Mathematics,Kernel (statistics)
Journal
Volume
Issue
ISSN
68
P1
0167-8655
Citations 
PageRank 
References 
1
0.63
21
Authors
4
Name
Order
Citations
PageRank
Jyrko Correa-morris1654.17
Yoanna Martínez-Díaz2307.48
Noslen Hernández374.57
Heydi Méndez-Vázquez44712.91