Ordinal methods for a characterization of evolving functional brain networks
arXiv:2301.09566 · doi:10.1063/5.0136181
Abstract
Ordinal time series analysis is based on the idea to map time series to ordinal patterns, i.e., order relations between the values of a time series and not the values themselves, as introduced in 2002 by C. Bandt and B. Pompe. Despite a resulting loss of information, this approach captures meaningful information about the temporal structure of the underlying system dynamics as well as about properties of interactions between coupled systems. This - together with its conceptual simplicity and robustness against measurement noise - makes ordinal time series analysis well suited to improve characterization of the still poorly understood spatial-temporal dynamics of the human brain. This minireview briefly summarizes the state-of-the-art of uni- and bivariate ordinal time-series-analysis techniques together with applications in the neurosciences. It will highlight current limitations to stimulate further developments which would be necessary to advance characterization of evolving functional brain networks.
8 pages, 2 figures
References in corpus (12)
- Synchronization in complex networks
- Robustly estimating the flow direction of information in complex physical systems
- Does the 1/f frequency-scaling of brain signals reflect self-organized critical states?
- Coupling functions: Universal insights into dynamical interaction mechanisms
- From brain to earth and climate systems: Small-world interaction networks or not?
- How important is the seizure onset zone for seizure dynamics?
- Characterizing Synchronization in Time Series using Information Measures Extracted from Symbolic Representations
- Can spurious indications for phase synchronization due to superimposed signals be avoided?
- Assessing directionality and strength of coupling through symbolic analysis: an application to epilepsy patients
- Surrogate-assisted analysis of weighted functional brain networks
- Identifying delayed directional couplings with symbolic transfer entropy
- Transfer Entropy on Rank Vectors