MuTE: A MATLAB Toolbox to Compare Established and Novel Estimators of the Multivariate Transfer Entropy

A challenge for physiologists and neuroscientists is to map information transfer between components of the systems that they study at different scales, in order to derive important knowledge on structure and function from the analysis of the recorded dynamics. The components of physiological networks often interact in a nonlinear way and through mechanisms which are in general not completely known. It is then safer that the method of choice for analyzing these interactions does not rely on any model or assumption on the nature of the data and their interactions. Transfer entropy has emerged as a powerful tool to quantify directed dynamical interactions. In this paper we compare different approaches to evaluate transfer entropy, some of them already proposed, some novel, and present their implementation in a freeware MATLAB toolbox. Applications to simulated and real data are presented.

• Publication year

  2014

• Venue

  PLoS ONE

• Publication date

  2014-10-14

• Fields of study

  Medicine, Computer Science

• Identifiers
  DOI 10.1371/journal.pone.0109462PMID 25314003PMCID 4196918
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Direct coupling information measure from non-uniform embedding

  2013influential reference
• Framework to study dynamic dependencies in networks of interacting processes.

  2012cited by this paper
• Information Domain Approach to the Investigation of Cardio-Vascular, Cardio-Pulmonary, and Vasculo-Pulmonary Causal Couplings

  2011influential reference
• Equivalence of Granger Causalityand Transfer Entropy: A Generalization.

  2011cited by this paper
• TRENTOOL: A Matlab open source toolbox to analyse information flow in time series data with transfer entropy

  2011cited by this paper
• Transfer entropy in magnetoencephalographic data: quantifying information flow in cortical and cerebellar networks.

  2011cited by this paper
• Information-based detection of nonlinear Granger causality in multivariate processes via a nonuniform embedding technique.

  2011cited by this paper
• TRENTOOL: an open source toolbox to estimate neural directed interactions with transfer entropy

  2011cited by this paper
• Multivariate Granger causality and generalized variance.

  2010cited by this paper
• Non-uniform state space reconstruction and coupling detection

  2010influential reference
• Transfer entropy—a model-free measure of effective connectivity for the neurosciences

  2010cited by this paper
• Exploring transient transfer entropy based on a group-wise ICA decomposition of EEG data

  2010cited by this paper
• Granger causality and transfer entropy are equivalent for Gaussian variables.

  2009cited by this paper
• Assessing causality in normal and impaired short-term cardiovascular regulation via nonlinear prediction methods

  2009cited by this paper
• Mutual nonlinear prediction as a tool to evaluate coupling strength and directionality in bivariate time series: comparison among different strategies based on k nearest neighbors.

  2008cited by this paper
• Emergent network topology at seizure onset in humans.

  2008cited by this paper
• Kernel method for nonlinear granger causality.

  2007cited by this paper
• Evaluating information transfer between auditory cortical neurons.

  2007cited by this paper
• Causality detection based on information-theoretic approaches in time series analysis

  2007cited by this paper
• Multiple Time Series Models

  2006cited by this paper
• Estimating mutual information.

  2003influential reference
• Performance of different synchronization measures in real data: a case study on electroencephalographic signals.

  2002cited by this paper
• Short‐term cardiovascular oscillations in man: measuring and modelling the physiologies

  2002cited by this paper
• Partial directed coherence: a new concept in neural structure determination

  2001cited by this paper
• Algorithm 808

  2001cited by this paper
• Reply to ``Comment on `Performance of different synchronization measures in real data: A case study on electroencephalographic signals' ''

  2001influential reference
• Measuring information transfer

  2000influential reference
• Estimating the Dimension of a Model

  1978cited by this paper
• Nearest neighbor pattern classification

  1967cited by this paper

• Multivariate transfer entropy-guided self-attention for nonlinear causal interaction modeling: Evidence from energy systems

  2026cites this paper
• Quantifying coupling and causality in dynamic bivariate systems: a unified framework for time-domain, spectral, and information-theoretic analysis

  2026cites this paper
• A causal learning framework integrating LASSO and information theory for source localization in power system forced oscillations

  2026cites this paper
• Diversity and similarity of information transfers and flows in continuous-time stochastic systems.

  2025cites this paper
• Evaluation of Neurovascular Coupling Behaviors for FES-Induced Wrist Movements Based on Synchronized EEG-fNIRS Signals

  2025cites this paper
• DiffusionScore: A Framework for Assessing Institutional Research Impact Through Influence Diffusion

  2025cites this paper
• Quantifying the causal effects of large-scale climate indices on basin-scale meteorological drought using transfer entropy: a case study of the yellow river basin

  2025cites this paper
• Multivariate causal analysis of the effects of large-scale climate factors on meteorological drought in the Pearl River Basin: a study using partial mutual information and empirical orthogonal teleconnections

  2025cites this paper
• Exploring neurovascular coupling in stroke patients: insights on linear and nonlinear dynamics using transfer entropy

  2025cites this paper
• BOLDSimNet: Examining Brain Network Similarity between Task and Resting-State fMRI

  2025cites this paper
• A new directionality index based on high-resolution joint symbolic dynamics to assess information transfer in multivariate networks

  2025influential citation
• Reconstruction and dynamic analysis of corticomuscular subnetworks reveal task-specific neural coordination in visuomotor control.

  2025cites this paper
• Towards an informational account of interpersonal coordination

  2025cites this paper
• Spontaneous dynamical differentiation in an experimental network of single-transistor chaotic oscillators modeling a biological neuronal culture

  2025cites this paper
• Identifying key drivers in a stochastic dynamical system through estimation of transfer entropy between univariate and multivariate time series.

  2025cites this paper
• Application of Transfer Entropy Measure to Characterize Environmental Sounds in Urban and Wild Parks

  2025cites this paper
• The Effects of Resonance Frequency Breathing on Cardiovascular System and Brain-Cardiopulmonary Interactions

  2025cites this paper
• Causality from phases of high-dimensional nonlinear systems

  2025cites this paper
• Characteristics of surface heat source changes in China’s typical urban agglomerations during 1979–2021 and their influence on compound hot extremes

  2025influential citation
• Bivariate assessment of directionality based on High Resolution Joint Symbolic Dynamics

  2024cites this paper
• MINT: A toolbox for the analysis of multivariate neural information coding and transmission

  2024cites this paper
• Cortex level connectivity between ACT-R modules during EEG-based n-back task

  2024cites this paper
• SimBrainNet: Evaluating Brain Network Similarity for Attention Disorders

  2024cites this paper
• Using chemosensory-induced EEG signals to identify patients with de novo Parkinson's disease

  2024cites this paper
• Inferring Dealer Networks in the Foreign Exchange Market Using Conditional Transfer Entropy: Analysis of a Central Bank Announcement

  2024cites this paper
• Gradients of O-information highlight synergy and redundancy in physiological applications

  2024cites this paper
• Identifying Influential and Vulnerable Nodes in Interaction Networks through Estimation of Transfer Entropy Between Univariate and Multivariate Time Series

  2024cites this paper
• The reconstruction of equivalent underlying model based on direct causality for multivariate time series

  2024cites this paper
• Wrist movement rehabilitation in hemiparetic Unilateral Cerebral Palsy children using mechanical stimulation of skin mechanoreceptors and computer game

  2024cites this paper
• Brain Connectivity Analysis for EEG-Based Face Perception Task

  2024cites this paper
• Containership delay propagation risk analysis based on effective multivariate transfer entropy

  2024cites this paper
• Navigating Market Turbulence: Insights from Causal Network Contagion Value at Risk

  2024cites this paper
• Response inhibition in premotor cortex corresponds to a complex reshuffle of the mesoscopic information network

  2024influential citation
• An information-theoretic quantification of the content of communication between brain regions

  2023influential citation
• Detection of Blood CO2 Influences on Cerebral Hemodynamics Using Transfer Entropy

  2023cites this paper
• Assessment of Deep Learning Approaches for the Detection of Cardio-Respiratory Causal Interactions

  2023cites this paper
• Integrated approach to diagnose structural behaviour of dam

  2023cites this paper
• A Difference Between an Optimal Parameter Set for a Statistical Inferring of Directionality of Coupling for Stochastic and Chaotic Deterministic Systems Based on Information Theory

  2023cites this paper
• Improving transfer entropy and partial transfer entropy for relative detection of effective connectivity strength between time series

  2023cites this paper
• Response inhibition in Premotor cortex corresponds 1 to a complex reshuffle of the mesoscopic information 2 network 3

  2023cites this paper
• Multivariate connectivity: A brief introduction and an open question

  2023cites this paper
• Linear and Nonlinear Effects in Connectedness Structure: Comparison between European Stock Markets

  2022cites this paper
• Kernel change point detection based on convergent cross mapping

  2022cites this paper
• Delay propagation network in air transport systems based on refined nonlinear Granger causality

  2022cites this paper
• NIT: an open-source tool for information theoretic analysis of neural population data

  2022cites this paper
• Flexible patterns of information transfer in frustrated networks of phase oscillators

  2022cites this paper
• Causality detection with matrix-based transfer entropy

  2022cites this paper
• Information theoretic measures of causal influences during transient neural events

  2022cites this paper
• Data-driven causal analysis of observational biological time series

  2022cites this paper
• Pairwise and higher-order measures of brain-heart interactions in children with temporal lobe epilepsy

  2022cites this paper
• Successful response inhibition corresponds to a 1 network reshuffling of hierarchically organized 2 cortical modules

  2022cites this paper
• Efficient markets are more connected: An entropy-based analysis of the energy, industrial metal and financial markets

  2022cites this paper
• From Coherence to Multivariate Causal Estimators of EEG Connectivity

  2022cites this paper
• A self-learning cognitive architecture exploiting causality from rewards

  2022cites this paper
• Temperature increase drives critical slowing down of fish ecosystems

  2021cites this paper
• Interactions of central and autonomic nervous systems in patients with sleep apnea–hypopnea syndrome during sleep

  2021cites this paper
• NeuriTES. Monitoring neurite changes through transfer entropy and semantic segmentation in bright-field time-lapse microscopy

  2021cites this paper
• Changing in the hierarchical organization of local information dynamics during motor decision in the premotor cortex of primates

  2021cites this paper
• The Relationship between Oscillations in Brain Regions and Functional Connectivity: A Critical Analysis with the Aid of Neural Mass Models

  2021cites this paper
• Metrological Characterization of a Pain Detection System Based on Transfer Entropy of Facial Landmarks

  2021influential citation
• Time-Reversibility, Causality and Compression-Complexity

  2021cites this paper
• disrupted/absent early care

  2021cites this paper
• Inferring ecosystem networks as information flows

  2021cites this paper
• Child-parent cardiac transference is decreased following disrupted/absent early care.

  2021cites this paper
• Maturation of the Autonomic Nervous System in Premature Infants: Estimating Development Based on Heart-Rate Variability Analysis

  2021cites this paper
• Multivariate Correlation Measures Reveal Structure and Strength of Brain–Body Physiological Networks at Rest and During Mental Stress

  2021cites this paper
• Estimation of Directed Dependencies in Time Series Using Conditional Mutual Information and Non-linear Prediction

  2021influential citation
• Temperature-driven Organization of Fish

  2021cites this paper
• Connectivity Analysis for Multivariate Time Series: Correlation vs. Causality

  2021cites this paper
• Vector Auto-Regressive Deep Neural Network: A Data-Driven Deep Learning-Based Directed Functional Connectivity Estimation Toolbox

  2021cites this paper
• A New EEMD-Effective Transfer Entropy-Based Methodology for Exchange Rate Market Information Transmission in Southern Africa Development Community

  2021cites this paper
• Psychiatric and Neurological Disorders

  2021cites this paper
• Problems with information theoretic approaches to causal learning

  2021influential citation
• Godot is not coming: when we will let innovations enter psychiatry?

  2021cites this paper
• BHI Estimation Methodology

  2021cites this paper
• Evaluation of Directed Causality Measures and Lag Estimations in Multivariate Time-Series

  2021cites this paper
• Localizing category-related information in speech with multi-scale analyses

  2021cites this paper
• Benchmarking Transfer Entropy Methods for the Study of Linear and Nonlinear Cardio-Respiratory Interactions

  2021influential citation
• Functional Interactions between Entorhinal Cortical Pathways Modulate Theta Activity in the Hippocampus

  2021cites this paper
• Causal Analysis of Flowfields Using Clustering Entropy

  2020cites this paper
• Measuring the Non-linear Directed Information Flow in Schizophrenia by Multivariate Transfer Entropy

  2020cites this paper
• Shortcomings of Transfer Entropy and Partial Transfer Entropy: Extending Them to Escape the Curse of Dimensionality

  2020cites this paper
• Analyzing Brain Connectivity in the Mutual Regulation of Emotion–Movement Using Bidirectional Granger Causality

  2020influential citation
• Attention-Based Long Short-Term Memory Method for Alarm Root-Cause Diagnosis in Chemical Processes

  2020cites this paper
• Study on Delay Propagation Relations Among Airports Based on Transfer Entropy

  2020cites this paper
• Transfer Entropy as a Measure of Brain Connectivity: A Critical Analysis With the Help of Neural Mass Models

  2020cites this paper
• A Method to Present and Analyze Ensembles of Information Sources

  2020cites this paper
• The Cardiorespiratory Network in Healthy First-Degree Relatives of Schizophrenic Patients

  2020cites this paper
• Refined nonuniform embedding for coupling detection in multivariate time series.

  2020cites this paper
• Non-Uniform Embedding Scheme and Low-Dimensional Approximation Methods for Causality Detection

  2020cites this paper
• Transfer Entropy Modeling of Newborn Cardiorespiratory Regulation

  2020cites this paper
• Transfer entropy applied on EEG in depression reveals aberrated dynamics

  2020influential citation
• Large-scale nonlinear Granger causality for inferring directed dependence from short multivariate time-series data

  2020cites this paper
• Granger Causality Analysis based on Neural Networks Architectures for bivariate cases

  2020influential citation
• Causal coupling inference from multivariate time series based on ordinal partition transition networks

  2020cites this paper
• Model-Based Evaluation of Methods for Respiratory Sinus Arrhythmia Estimation

  2020cites this paper
• Estimating Conditional Transfer Entropy in Time Series Using Mutual Information and Nonlinear Prediction

  2020influential citation
• The VMTES: Application to the structural health monitoring and diagnosis of rotating machines

  2020cites this paper
• Exploitation of Information as a Trading Characteristic: A Causality-Based Analysis of Simulated and Financial Data

  2020cites this paper
• Data-driven causal analysis of observational time series in ecology

  2020cites this paper