4 results on '"Cexus, Jean-Christophe"'
Search Results
2. An Energy-Based SimilarityMeasure for Time Series.
- Author
-
Boudraa, Abdel-Ouahab, Cexus, Jean-Christophe, Groussat, Mathieu, and Brunagel, Pierre
- Subjects
MATHEMATICAL series ,MATHEMATICAL sequences ,ARITHMETIC series ,MATHEMATICAL analysis ,NUMERICAL analysis ,COMPUTER programming ,ELECTRONIC data processing ,STOCHASTIC analysis ,MATHEMATICAL optimization - Abstract
A new similarity measure, called SimilB, for time series analysis, based on the cross-Ψ
B -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. [ABSTRACT FROM AUTHOR]- Published
- 2008
- Full Text
- View/download PDF
3. An Energy-Based Similarity Measure for Time Series.
- Author
-
Boudraa, Abdel-Ouahab, Cexus, Jean-Christophe, Groussat, Mathieu, and Brunagel, Pierre
- Subjects
PROGRAMMING languages ,TIME Series Processor (Computer program language) ,COMPUTER programming ,ELECTRONIC data processing ,MATHEMATICAL analysis ,STOCHASTIC analysis ,MATHEMATICAL optimization ,NUMERICAL analysis ,MATHEMATICAL series - Abstract
A new similarity measure, called SimilB, for time series analysis, based on the cross-Ψ
B -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. [ABSTRACT FROM AUTHOR]- Published
- 2008
- Full Text
- View/download PDF
4. An Energy-Based Similarity Measure for Time Series
- Author
-
Jean-Christophe Cexus, Mathieu Groussat, Pierre Brunagel, Abdel-Ouahab Boudraa, Cexus, Jean-Christophe, Extraction et Exploitation de l'Information en Environnements Incertains (E3I2), École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne), Lab-STICC_ENSTAB_CID_TOMS, Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Télécom Bretagne-Institut Brestois du Numérique et des Mathématiques (IBNM), Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Télécom Bretagne-Institut Brestois du Numérique et des Mathématiques (IBNM), and Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Series (mathematics) ,lcsh:Electronics ,lcsh:TK7800-8360 ,020206 networking & telecommunications ,02 engineering and technology ,Similarity measure ,Measure (mathematics) ,Pearson product-moment correlation coefficient ,Order of integration ,lcsh:Telecommunication ,Euclidean distance ,symbols.namesake ,Similarity (network science) ,lcsh:TK5101-6720 ,Statistics ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Applied mathematics ,020201 artificial intelligence & image processing ,Time series ,Mathematics - 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.
- Published
- 2007
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