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Transfer entropy (TE) captures the directed relationships between two variables. Partial transfer entropy (PTE) accounts for the presence of all confounding variables of a multivariate system and infers only about direct causality. However,…

Methodology · Statistics 2021-02-03 Angeliki Papana , Ariadni Papana-Dagiasis , Elsa Siggiridou

Current neural networks architectures are many times harder to train because of the increasing size and complexity of the used datasets. Our objective is to design more efficient training algorithms utilizing causal relationships inferred…

Machine Learning · Computer Science 2021-05-03 Adrian Moldovan , Angel Caţaron , Răzvan Andonie

Causal discovery is a fundamental problem in statistics and has wide applications in different fields. Transfer Entropy (TE) is a important notion defined for measuring causality, which is essentially conditional Mutual Information (MI).…

Machine Learning · Computer Science 2021-03-09 Jian Ma

Transfer Entropy (TE), the primary method for determining directed information flow within a network system, can exhibit bias - either in deficiency or excess - during both pairwise and conditioned calculations, owing to high-order…

Data Analysis, Statistics and Probability · Physics 2024-02-14 Sebastiano Stramaglia , Luca Faes , Jesus M. Cortes , Daniele Marinazzo

Transfer entropy (TE) is a powerful tool for measuring causal relationships within interaction networks. Traditionally, TE and its conditional variants are applied pairwise between dynamic variables to infer these causal relationships.…

Statistical Mechanics · Physics 2024-10-02 Julian Lee

'Causal' direction is of great importance when dealing with complex systems. Often big volumes of data in the form of time series are available and it is important to develop methods that can inform about possible causal connections between…

Statistical Mechanics · Physics 2014-01-24 Fatimah Abdul Razak , Henrik Jeldtoft Jensen

Transfer entropy (TE) is a popular measure of information flow found to perform consistently well in different settings. Symbolic transfer entropy (STE) is defined similarly to TE but on the ranks of the components of the reconstructed…

Chaotic Dynamics · Physics 2010-07-05 Dimitris Kugiumtzis

Inference of causality is central in nonlinear time series analysis and science in general. A popular approach to infer causality between two processes is to measure the information flow between them in terms of transfer entropy. Using…

Chaotic Dynamics · Physics 2015-04-16 Jie Sun , Erik M. Bollt

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

We address the problem of evaluating the transfer entropy (TE) produced by biochemical reactions from experimentally measured data. Although these reactions are generally non-linear and non-stationary processes making it challenging to…

The ability to quantify the directional flow of information is vital to understanding natural systems and designing engineered information-processing systems. A widely used measure to quantify this information flow is the transfer entropy.…

Molecular Networks · Quantitative Biology 2025-07-11 Avishek Das , Pieter Rein ten Wolde

Transfer entropy is used to establish a measure of causal relationships between two variables. Symbolic transfer entropy, as an estimation method for transfer entropy, is widely applied due to its robustness against non-stationarity. This…

Computational Complexity · Computer Science 2024-09-24 Dian Jin

Brain connectivity characterizes interactions between different regions of a brain network during resting-state or performance of a cognitive task. In studying brain signals such as electroencephalograms (EEG), one formal approach to…

Methodology · Statistics 2024-10-30 Paolo Victor Redondo , Raphael Huser , Hernando Ombao

In this work, we are interested in structure learning for a set of spatially distributed dynamical systems, where individual subsystems are coupled via latent variables and observed through a filter. We represent this model as a directed…

Artificial Intelligence · Computer Science 2016-11-03 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

Energy efficiency is a big concern in industrial sectors. Finding the root cause of anomaly state of energy efficiency can help to improve energy efficiency of industrial systems and therefore save energy cost. In this research, we propose…

Machine Learning · Computer Science 2024-01-12 Jian Ma

Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entropy from a source to a target node in a network does not…

Information Theory · Computer Science 2020-05-05 Leonardo Novelli , Fatihcan M. Atay , Jürgen Jost , Joseph T. Lizier

Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Time-lagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying…

Quantitative Methods · Quantitative Biology 2017-11-15 Sourabh Lahiri , Philippe Nghe , Sander J. Tans , Martin Luc Rosinberg , David Lacoste

Objective: Functional coupling between the motor cortex and muscle activity is commonly detected and quantified by cortico-muscular coherence (CMC) or Granger causality (GC) analysis, which are applicable only to linear couplings and are…

Signal Processing · Electrical Eng. & Systems 2021-08-18 Zhenghao Guo , Verity M. McClelland , Osvaldo Simeone , Kerry R. Mills , Zoran Cvetkovic

Transfer entropy measures directed information flow in time series, and it has become a fundamental quantity in applications spanning neuroscience, finance, and complex systems analysis. However, existing estimation methods suffer from the…

Machine Learning · Computer Science 2026-04-10 Simon Pedro Galeano Munoz , Mustapha Bounoua , Giulio Franzese , Pietro Michiardi , Maurizio Filippone

A systematic assessment of global neural network connectivity through direct electrophysiological assays has remained technically unfeasible even in dissociated neuronal cultures. We introduce an improved algorithmic approach based on…

Neurons and Cognition · Quantitative Biology 2015-06-03 Olav Stetter , Demian Battaglia , Jordi Soriano , Theo Geisel
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