Title
An energy-based similarity measure for time series
Abstract
A new similarity measure, called SimilB, for time series analysis, based on the cross-ΨB-energy operator (2004), is introduced. ΨB is a nonlinear measure which quantifies the interaction between two time series. Compared to Euclidean distance (ED) or the Pearson correlation coefficient (CC), SimilB includes the temporal information and relative changes of the time series using the first and second derivatives of the time series. SimilB is well suited for both nonstationary and stationary time series and particularly those presenting discontinuities. Some new properties of ΨB are presented. Particularly, we show that ΨB as similarity measure is robust to both scale and time shift. SimilB is illustrated with synthetic time series and an artificial dataset and compared to the CC and the ED measures.
Year
DOI
Venue
2008
10.1155/2008/135892
EURASIP J. Adv. Sig. Proc.
Keywords
Field
DocType
nonlinear measure,time series,new property,time shift,time series analysis,ed measure,energy-based similarity measure,similarity measure,new similarity measure,stationary time series,synthetic time series
Time series,Applied mathematics,Order of integration,Pearson product-moment correlation coefficient,Similarity measure,Artificial intelligence,Similitude,Correlation coefficient,Second derivative,Euclidean distance,Statistics,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
2008,
1
1687-6180
Citations 
PageRank 
References 
32
1.08
8
Authors
4
Name
Order
Citations
PageRank
A Boudraa121522.86
Jean-Christophe Cexus2759.06
Mathieu Groussat3321.08
Pierre Brunagel4321.08