A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance

Research output: Journal contributionsJournal articlesResearchpeer-review

Standard

A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance. / Wallot, Sebastian; Irmer, Julien Patrick; Tschense, Monika et al.
In: Topics in Cognitive Science, 14.09.2023.

Research output: Journal contributionsJournal articlesResearchpeer-review

Harvard

APA

Vancouver

Bibtex

@article{2d68423c16f44af1b9a99b3d58d8e005,
title = "A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance",
abstract = "Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation between these time series when estimating fractal properties. First, we briefly describe how fractal fluctuations have advanced a dynamic system understanding of cognition. Then, we describe mvDFA in detail and highlight some of the advantages of the approach for simulated data. Furthermore, we show how mvDFA can be used to investigate empirical multivariate data using electroencephalographic recordings during a time-estimation task. We discuss this methodological development within the framework of interaction-dominant dynamics. Moreover, we outline how the availability of multivariate analyses can inform theoretical developments in the area of dynamic systems in human behavior.",
keywords = "Detrended fluctuation analysis, Dynamic systems, Interaction-dominant dynamics, Multivariate analysis, R package, Time estimation, Psychology",
author = "Sebastian Wallot and Irmer, {Julien Patrick} and Monika Tschense and Nikita Kuznetsov and Andreas H{\o}jlund and Martin Dietz",
note = "Publisher Copyright: {\textcopyright} 2023 The Authors. Topics in Cognitive Science published by Wiley Periodicals LLC on behalf of Cognitive Science Society.",
year = "2023",
month = sep,
day = "14",
doi = "10.1111/tops.12688",
language = "English",
journal = "Topics in Cognitive Science",
issn = "1756-8757",
publisher = "Wiley-Blackwell Publishing, Inc.",

}

RIS

TY - JOUR

T1 - A Multivariate Method for Dynamic System Analysis

T2 - Multivariate Detrended Fluctuation Analysis Using Generalized Variance

AU - Wallot, Sebastian

AU - Irmer, Julien Patrick

AU - Tschense, Monika

AU - Kuznetsov, Nikita

AU - Højlund, Andreas

AU - Dietz, Martin

N1 - Publisher Copyright: © 2023 The Authors. Topics in Cognitive Science published by Wiley Periodicals LLC on behalf of Cognitive Science Society.

PY - 2023/9/14

Y1 - 2023/9/14

N2 - Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation between these time series when estimating fractal properties. First, we briefly describe how fractal fluctuations have advanced a dynamic system understanding of cognition. Then, we describe mvDFA in detail and highlight some of the advantages of the approach for simulated data. Furthermore, we show how mvDFA can be used to investigate empirical multivariate data using electroencephalographic recordings during a time-estimation task. We discuss this methodological development within the framework of interaction-dominant dynamics. Moreover, we outline how the availability of multivariate analyses can inform theoretical developments in the area of dynamic systems in human behavior.

AB - Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation between these time series when estimating fractal properties. First, we briefly describe how fractal fluctuations have advanced a dynamic system understanding of cognition. Then, we describe mvDFA in detail and highlight some of the advantages of the approach for simulated data. Furthermore, we show how mvDFA can be used to investigate empirical multivariate data using electroencephalographic recordings during a time-estimation task. We discuss this methodological development within the framework of interaction-dominant dynamics. Moreover, we outline how the availability of multivariate analyses can inform theoretical developments in the area of dynamic systems in human behavior.

KW - Detrended fluctuation analysis

KW - Dynamic systems

KW - Interaction-dominant dynamics

KW - Multivariate analysis

KW - R package

KW - Time estimation

KW - Psychology

UR - http://www.scopus.com/inward/record.url?scp=85170689774&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0fcb8926-34ff-3ce6-a10f-e20bedaaf31f/

U2 - 10.1111/tops.12688

DO - 10.1111/tops.12688

M3 - Journal articles

C2 - 37706618

AN - SCOPUS:85170689774

JO - Topics in Cognitive Science

JF - Topics in Cognitive Science

SN - 1756-8757

ER -

DOI

Recently viewed

Activities

  1. Event History Analysis and Applications Using STATA - 2013
  2. What we know about conceptual learning in open inquiry settings in science education
  3. Taking ICALL to task: Blending form-focus & task-based foreign language learning
  4. Using a Longitudinal Mixed-Methods Approach in HESD Research: Reflections on Pitfalls and Added Value
  5. How, when, and why do negotiators use reference points? A qualitative interview study with negotiation experts.
  6. A Garbage Can Model of Institutional Innovation: Field Transformation through Issue Framing Processes in the Interstitial Space, where Problems and Solutions Meet
  7. Drafts in Action. Concepts and Practices of Artistic Intervention
  8. “Visual Rhetoric as a three-dimensional practice. Theorizing the interconnections between the visual rhetorical objects and the process of spectatorship”
  9. Plenary lecture entitled: "Wavelet Packets for Applications in Signal Processing and Control Systems"
  10. Quality of reading instruction in language classrooms: Subject specific analysis of teaching quality
  11. Perfect anti-windup in output tracking scheme with preaction
  12. Cluster-based Extraction of Finite-time Coherent Sets from Trajectory Data
  13. Data-efficient Pattern Detection in Elite Soccer
  14. Discerning aspects of memory: The ethics of memory in (post)global and transnational contexts
  15. All Surface: Blobs and the Liquefaction of Architecture
  16. Institutionalizing transdisciplinary learning on different levels
  17. Improving the quality of selecting applicants for university student programs

Publications

  1. A multi input sliding mode control for Peltier Cells using a cold-hot sliding surface
  2. Concept for Process Parameter-Based Inline Quality Control as a Basis for Pairing in a Production Line
  3. Using the flatness of DC-Drives to emulate a generator for a decoupled MPC using a geometric approach for motion control in Robotino
  4. A discrete-time fractional order PI controller for a three phase synchronous motor using an optimal loop shaping approach
  5. Latent structure perceptron with feature induction for unrestricted coreference resolution
  6. Intersection tests for the cointegrating rank in dependent panel data
  7. PLM ‑supported automated process planning and partitioning for collaborative assembly processes based on a capability analysis
  8. GPU-accelerated meshfree computational framework for modeling the friction surfacing process
  9. NH4+ ad-/desorption in sequencing batch reactors
  10. Dispatching rule selection with Gaussian processes
  11. Unidimensional and Multidimensional Methods for Recurrence Quantification Analysis with crqa
  12. A model predictive control in Robotino and its implementation using ROS system
  13. Message passing for hyper-relational knowledge graphs
  14. A transfer operator based computational study of mixing processes in open flow systems
  15. A Wavelet Packet Tree Denoising Algorithm for Images of Atomic-Force Microscopy
  16. Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity
  17. Optimizing sampling of flying insects using a modified window trap
  18. A New Framework for Production Planning and Control to Support the Positioning in Fields of Tension Created by Opposing Logistic Objectives
  19. Finding Similar Movements in Positional Data Streams
  20. A change of values is in the air
  21. Modified dynamic programming approach for offline segmentation of long hydrometeorological time series
  22. The Use of Genetic Algorithm for PID Controller Auto-Tuning in ARM CORTEX M4 Platform
  23. Framework for the Parallelized Development of Estimation Tasks for Length, Area, Capacity and Volume in Primary School - A Pilot Study
  24. Analysis of Complexity Reduction in Kalman Filters Through Decoupling Control With Chattered Inputs in PMSM
  25. Lyapunov stability analysis to set up a PI controller for a mass flow system in case of a non-saturating input
  26. Modeling Effective and Ineffective Knowledge Communication and Learning Discourses in CSCL with Hidden Markov Models
  27. Multidimensional Cross-Recurrence Quantification Analysis (MdCRQA)–A Method for Quantifying Correlation between Multivariate Time-Series
  28. Using cross-recurrence quantification analysis to compute similarity measures for time series of unequal length with applications to sleep stage analysis
  29. Stepwise-based optimizing approaches for arrangements of loudspeaker in multi-zone sound field reproduction
  30. Using Decision Trees and Reinforcement Learning for the Dynamic Adjustment of Composite Sequencing Rules in a Flexible Manufacturing System
  31. On the Functional Controllability Using a Geometric Approach together with a Decoupled MPC for Motion Control in Robotino
  32. On the Power and Performance of a Doubly Latent Residual Approach to Explain Latent Specific Factors in Multilevel-Bifactor-(S-1) Models