Ordinal synchronization: Using ordinal patterns to capture interdependencies between time series [PDF]
Chaos, Solitons & Fractals, 2018 We introduce Ordinal Synchronization (OS) as a new measure to quantify synchronization between dynamical systems. OS is calculated from the extraction of the ordinal patterns related to two time series, their transformation into D-dimensional ordinal ...
Ignacio Echegoyen +4 more
semanticscholar +6 more sources
Ordinal patterns in long‐range dependent time series [PDF]
Scandinavian Journal of Statistics, 2019 We analyze the ordinal structure of long‐range dependent time series. To this end, we use so called ordinal patterns which describe the relative position of consecutive data points.
Annika Betken +5 more
semanticscholar +4 more sources
Predicting Change in Emotion through Ordinal Patterns and Simple Symbolic Expressions
Mathematics, 2022 Human interlocutors may use emotions as an important signaling device for coordinating an interaction. In this context, predicting a significant change in a speaker’s emotion may be important for regulating the interaction.
Yair Neuman, Yochai Cohen
doaj +2 more sources
Wiggles and Curves: The Analysis of Ordinal Patterns
Problemy Zarządzania, 2016 Almost all social science data are analysed with variants of the General Linear Model (GLM): regression analyses, analyses of variance, factor analyses, path analyses and the like.
Warren Thorngate, Chunyun Ma
doaj +2 more sources
Algorithmics, Possibilities and Limits of Ordinal Pattern Based Entropies [PDF]
Entropy, 2019 The study of nonlinear and possibly chaotic time-dependent systems involves long-term data acquisition or high sample rates. The resulting big data is valuable in order to provide useful insights into long-term dynamics.
Albert B. Piek +2 more
doaj +3 more sources
Analysis of signals from air conditioner compressors with ordinal patterns and machine learning
Journal of Low Frequency Noise, Vibration and Active ControlMost machines are equipped with devices that monitor their operation. Air conditioners, in particular, are routinely monitored through various measurements.
Keila Barbosa +2 more
doaj +2 more sources
Including the Magnitude Variability of a Signal in the Ordinal Pattern Analysis
EntropyOne of the most popular and innovative methods to analyse signals is by using Ordinal Patterns (OPs). The OP encoding is based on transforming a (univariate) signal into a symbolic sequence of OPs, where each OP represents the number of permutations ...
Melvyn Tyloo +2 more
doaj +4 more sources
Compression complexity with ordinal patterns for robust causal inference in irregularly sampled time series. [PDF]
Sci Rep, 2022 Distinguishing cause from effect is a scientific challenge resisting solutions from mathematics, statistics, information theory and computer science.
Kathpalia A, Manshour P, Paluš M.
europepmc +3 more sources
An in-depth analysis of parameter settings and probability distributions of specific ordinal patterns in the Shannon permutation entropy during different states of consciousness in humans. [PDF]
J Clin Monit Comput, 2023 As electrical activity in the brain has complex and dynamic properties, the complexity measure permutation entropy (PeEn) has proven itself to reliably distinguish consciousness states recorded by the EEG.
Franka M +6 more
europepmc +2 more sources
A Novel Recognition Strategy for Epilepsy EEG Signals Based on Conditional Entropy of Ordinal Patterns. [PDF]
Entropy (Basel), 2020 Epilepsy is one of the most ordinary neuropathic illnesses, and electroencephalogram (EEG) is the essential method for recording various brain rhythm activities due to its high temporal resolution.
Liu X, Fu Z.
europepmc +2 more sources