Decomposing Spectral and Phasic Differences in Nonlinear Features between Datasets.
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Mediano, Pedro AM
Rosas, Fernando E
Barrett, Adam B
Bor, Daniel https://orcid.org/0000-0002-0741-8157
Abstract
When employing nonlinear methods to characterize complex systems, it is important to determine to what extent they are capturing genuine nonlinear phenomena that could not be assessed by simpler spectral methods. Specifically, we are concerned with the problem of quantifying spectral and phasic effects on an observed difference in a nonlinear feature between two systems (or two states of the same system). Here we derive, from a sequence of null models, a decomposition of the difference in an observable into spectral, phasic, and spectrum-phase interaction components. Our approach makes no assumptions about the structure of the data and adds nuance to a wide range of time series analyses.
Description
Keywords
stat.ME, stat.ME, q-bio.NC
Journal Title
Phys Rev Lett
Conference Name
Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
127
Publisher
American Physical Society (APS)
Publisher DOI
Rights
All rights reserved
Sponsorship
Wellcome Trust (210920/Z/18/Z)