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Detecting determinism with improved sensitivity in time series: rank-based nonlinear predictability score
- Source :
- Physical review. E, Statistical, nonlinear, and soft matter physics. 90(3)
- Publication Year :
- 2014
-
Abstract
- The rank-based nonlinear predictability score was recently introduced as a test for determinism in point processes. We here adapt this measure to time series sampled from time-continuous flows. We use noisy Lorenz signals to compare this approach against a classical amplitude-based nonlinear prediction error. Both measures show an almost identical robustness against Gaussian white noise. In contrast, when the amplitude distribution of the noise has a narrower central peak and heavier tails than the normal distribution, the rank-based nonlinear predictability score outperforms the amplitude-based nonlinear prediction error. For this type of noise, the nonlinear predictability score has a higher sensitivity for deterministic structure in noisy signals. It also yields a higher statistical power in a surrogate test of the null hypothesis of linear stochastic correlated signals. We show the high relevance of this improved performance in an application to electroencephalographic (EEG) recordings from epilepsy patients. Here the nonlinear predictability score again appears of higher sensitivity to nonrandomness. Importantly, it yields an improved contrast between signals recorded from brain areas where the first ictal EEG signal changes were detected (focal EEG signals) versus signals recorded from brain areas that were not involved at seizure onset (nonfocal EEG signals). R.G.A. acknowledges Grant No. FIS-2010-18204 of the Spanish Ministry of Education and Science and funding from the Volkswagen Foundation. K.S. and C.R. are grateful for support by the Swiss National Science Foundation (Projects No. SNF 320030-122010 and No. 33CM30-124089).
- Subjects :
- Time Factors
Electroencephalography
Signal-To-Noise Ratio
Statistical power
Point process
Normal distribution
Statistics
medicine
Humans
Predictability
Time series
610 Medicine & health
Mathematics
Determinism
Epilepsy
Nonlinear signal analysis
medicine.diagnostic_test
Quantitative Biology::Neurons and Cognition
business.industry
Pattern recognition
White noise
Nonlinear system
Nonlinear Dynamics
Artificial intelligence
business
Electroencephalographic recordings
Subjects
Details
- ISSN :
- 15502376
- Volume :
- 90
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Physical review. E, Statistical, nonlinear, and soft matter physics
- Accession number :
- edsair.doi.dedup.....2a3973108d78918086173984f6b1f671