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REFINEMENTS TO MODEL SELECTION FOR NONLINEAR TIME SERIES

International Journal of Bifurcation and Chaos, 2003
Many models of the dynamics of nonlinear time series have large numbers of parameters and tend to overfit. This paper discusses algorithms for selecting the best basis functions from a dictionary for a model of a time series. Selecting the optimal subset of basis functions is typically an NP-hard problem which usually has to be solved by heuristic ...
Tomomichi Nakamura   +2 more
openaire   +2 more sources

The Quest for Nonlinearity in Time Series

2012
Abstract In this chapter, we review the problem of testing for nonlinearity in time series. First, we discuss the definition and the properties of linear processes and the implications that such properties have on the operational strand. Then, we present and review a tentative classification of the various tests that can be found both in the time ...
openaire   +1 more source

DETECTING NONLINEARITIES IN STATIONARY TIME SERIES

International Journal of Bifurcation and Chaos, 1993
In this review we survey methods for detecting nonlinearities in stationary time series. These methods are based on the estimation of so-called correlation integrals. These correlation integrals provide a way of analyzing time series and reveal aspects which are often complementary to the information one obtains from power spectra and autocorrelations.
openaire   +2 more sources

Entropy testing for nonlinearity in time series [PDF]

open access: possible, 2007
In this paper we propose a novel test for the identification of nonlinear dependence in time series. The approach is based on a combination of a test statistic based on an entropy dependence metric, possessing many desirable properties [1], together with a suitable extension of surrogate data methods, a class of Monte Carlo based tests introduced with ...
GIANNERINI, SIMONE   +2 more
openaire   +2 more sources

FOR NONLINEARITY IN THE HEARTBEAT TIME SERIES

Cybernetics and Systems, 1997
Angelo Di Garbo   +5 more
openaire   +1 more source

Nonlinear Causal Discovery in Time Series

Proceedings of the 31st ACM International Conference on Information & Knowledge Management, 2022
Tianhao Wu   +4 more
openaire   +1 more source

Functional-Coefficient Regression Models for Nonlinear Time Series

Journal of the American Statistical Association, 2000
Zongwu Cai, Jianqing Fan, Qiwei Yao
exaly   +2 more sources

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