Title
Comparison of several methods to predict chaotic time series
Abstract
The aim of this paper is to compare different prediction methods for chaotic deterministic systems. We consider three different methods to evaluate the dynamics of the systems: the nearest neighbors, the radial basis functions and the regression tree. We use a comparison criterion suited to chaotic systems: the prediction horizon. The optimal prediction horizon is discussed with respect to the sampling time step. We apply these methods to simulated chaotic systems (Lorenz systems), experimental chaotic systems (double-scroll) and to intra-day series of exchange rates, namely Deutschmark/French Franc. We provide developments concerning the choice of the parameters involved in chaotic time series prediction
Year
DOI
Venue
1997
10.1109/ICASSP.1997.604704
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference
Keywords
Field
DocType
chaos,nonlinear dynamical systems,nonparametric statistics,prediction theory,signal sampling,time series,trees (mathematics),DEM/FRF,Deutschmark/French Franc,Lorenz systems,chaotic time series,comparison criterion,deterministic systems,double-scroll,exchange rates,experimental chaotic systems,intra-day series,nearest neighbors,prediction horizon,prediction methods,radial basis functions,regression tree,sampling time step
Applied mathematics,Decision tree,Radial basis function,Computer science,Artificial intelligence,Chaotic systems,Chaotic,Mathematical optimization,Horizon,Sampling time,Nonparametric statistics,Sampling (statistics),Machine learning
Conference
Volume
ISSN
ISBN
5
1520-6149
0-8186-7919-0
Citations 
PageRank 
References 
4
0.53
1
Authors
4
Name
Order
Citations
PageRank
Anne-Emmanuelle Badel140.53
Dominique Guégan252.25
Ludovic Mercier340.53
Olivier J. j. Michel423223.78