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Missing ordinal patterns in correlated noises

Physica A: Statistical Mechanics and its Applications, 2010
Abstract Recent research aiming at the distinction between deterministic or stochastic behavior in observational time series has looked into the properties of the “ordinal patterns” [C. Bandt, B. Pompe, Phys. Rev. Lett. 88 (2002) 174102]. In particular, new insight has been obtained considering the emergence of the so-called “forbidden ordinal ...
Carpi, Laura C.   +2 more
openaire   +1 more source

Ordinal pattern based similarity analysis for EEG recordings

Clinical Neurophysiology, 2010
Ordinal patterns analysis such as permutation entropy of the EEG series has been found to usefully track brain dynamics and has been applied to detect changes in the dynamics of EEG data. In order to further investigate hidden nonlinear dynamical characteristics in EEG data for differentiating brain states, this paper proposes a novel dissimilarity ...
Gaoxiang, Ouyang   +3 more
openaire   +2 more sources

Ordinal Pattern: A New Descriptor for Brain Connectivity Networks

IEEE Transactions on Medical Imaging, 2018
Brain connectivity networks based on magnetic resonance imaging (MRI) or functional MRI (fMRI) data provide a straightforward way to quantify the structural or functional systems of the brain. Currently, there are several network descriptors developed for representing and analyzing brain connectivity networks.
Daoqiang Zhang   +5 more
openaire   +3 more sources

Dissimilarity measure based on ordinal pattern for physiological signals

Communications in Nonlinear Science and Numerical Simulation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Wang   +3 more
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Quantifying interdependence using the missing joint ordinal patterns

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019
In this paper, we develop the concept of forbidden/missing ordinal patterns into the forbidden/missing joint ordinal patterns and propose the ratio of the number of missing joint ordinal patterns (RMJPs) as a sign of interdependence. RMJP in a surrogate analysis can be used to differentiate the forbidden joint ordinal patterns from the missing joint ...
Yi, Yin   +4 more
openaire   +2 more sources

Variance of permutation entropy and the influence of ordinal pattern selection

Physical Review E, 2017
Permutation entropy (PE) is a widely used measure for complexity, often used to distinguish between complex systems (or complex systems in different states). Here, the PE variance for a stationary time series is derived, and the influence of ordinal pattern selection, specifically whether the ordinal patterns are permitted to overlap or not, is ...
Douglas J, Little, Deb M, Kane
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Ordinal Patterns for Connectivity Networks in Brain Disease Diagnosis

2016
Brain connectivity networks have been widely used for diagnosis of brain-related diseases, e.g., Alzheimer’s disease (AD), mild cognitive impairment (MCI), and attention deficit hyperactivity disorder (ADHD). Although several network descriptors have been designed for representing brain connectivity networks, most of them not only ignore the important ...
Mingxia Liu 0001   +3 more
openaire   +2 more sources

Shrimp structure as a test bed for ordinal pattern measures

Chaos: An Interdisciplinary Journal of Nonlinear Science
Identifying complex periodic windows surrounded by chaos in the two or higher dimensional parameter space of certain dynamical systems is a challenging task for time series analysis based on complex network approaches. This holds particularly true for the case of shrimp structures, where different bifurcations occur when crossing different domain ...
Yong Zou   +4 more
openaire   +4 more sources

Permutation Entropy and Ordinal Patterns as a Resilience Indicator

2023 7th International Conference on System Reliability and Safety (ICSRS), 2023
Orlando Durán   +2 more
openaire   +2 more sources

Ordinal patterns for characterization of transition to extreme events

Chaos: An Interdisciplinary Journal of Nonlinear Science
Ordinal patterns serve as a symbolic representation to explore the complex features of distinct nonlinear dynamical systems and real-world data. This work focuses on unveiling the effectiveness of ordinal pattern measures to illustrate the intricate processes associated with extreme events and other dynamics.
S. Leo Kingston   +2 more
openaire   +1 more source

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