International Journal of Computational Intelligence Systems

Volume 5, Issue 1, February 2012, Pages 197 - 208

INFORMATIVE ENERGY METRIC FOR SIMILARITY MEASURE IN REPRODUCING KERNEL HILBERT SPACES

Authors
Songhua Liu, Junying Zhang, Caiying Ding
Corresponding Author
Songhua Liu
Received 15 October 2010, Accepted 11 January 2012, Available Online 1 February 2012.
DOI
10.1080/18756891.2012.670530How to use a DOI?
Keywords
Kernel methods, Similarity measure, Reproducing kernel Hilbert space, Non-metric distance
Abstract

In this paper, information energy metric (IEM) is obtained by similarity computing for high-dimensional samples in a reproducing kernel Hilbert space (RKHS). Firstly, similar/dissimilar subsets and their corresponding informative energy functions are defined. Secondly, IEM is proposed for similarity measure of those subsets, which converts the non-metric distances into metric ones. Finally, applications of this metric is introduced, such as classification problems. Experimental results validate the effectiveness of the proposed method.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
5 - 1
Pages
197 - 208
Publication Date
2012/02/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2012.670530How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Songhua Liu
AU  - Junying Zhang
AU  - Caiying Ding
PY  - 2012
DA  - 2012/02/01
TI  - INFORMATIVE ENERGY METRIC FOR SIMILARITY MEASURE IN REPRODUCING KERNEL HILBERT SPACES
JO  - International Journal of Computational Intelligence Systems
SP  - 197
EP  - 208
VL  - 5
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2012.670530
DO  - 10.1080/18756891.2012.670530
ID  - Liu2012
ER  -