Title
A Nonlinear Markovian Characterization of Time Series Using Neural Networks
Abstract
The goal of our approach is the determination of the order of the Markov process which explains the statistical dependencies of an observed time series. Our method measures the information flow of the time series indirectly via higher order cumulants considering linear and nonlinear correlations. The main point of our method, which is an extension of the method of surrogate data, is that the time series is tested against a hierarchy of nonlinear Markov processes, whose probability densities are estimated by neural networks.
Year
DOI
Venue
1997
10.1007/BFb0052117
Foundations of Computer Science: Potential - Theory - Cognition
Keywords
Field
DocType
nonlinear markovian characterization,neural networks,time series,information flow,probability density,surrogate data,higher order,cumulant,neural network,markov process
Information flow (information theory),Applied mathematics,Discrete mathematics,Nonlinear system,Markov process,Computer science,Cumulant,Artificial intelligence,Artificial neural network,Surrogate data,Hierarchy,Machine learning
Conference
ISBN
Citations 
PageRank 
3-540-63746-X
0
0.34
References 
Authors
1
2
Name
Order
Citations
PageRank
Christian Schittenkopf1556.95
Gustavo Deco21004156.20