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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

Transfer entropy (TE) is an information theoretic measure that reveals the directional flow of information between processes, providing valuable insights for a wide range of real-world applications. This work proposes Transfer Entropy…

Information Theory · Computer Science 2025-07-22 Omer Luxembourg , Dor Tsur , Haim Permuter

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

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

Understanding information processing in the brain requires the ability to determine the functional connectivity between the different regions of the brain. We present a method using transfer entropy to extract this flow of information…

Neurons and Cognition · Quantitative Biology 2019-03-06 Benjamin Walker , Katherine Newhall

Quantifying the directionality of information flow is instrumental in understanding, and possibly controlling, the operation of many complex systems, such as transportation, social, neural, or gene-regulatory networks. The standard Transfer…

Information Theory · Computer Science 2020-01-09 Jingjing Zhang , Osvaldo Simeone , Zoran Cvetkovic , Eugenio Abela , Mark Richardson

In a feedforward network, Transfer Entropy (TE) can be used to measure the influence that one layer has on another by quantifying the information transfer between them during training. According to the Information Bottleneck principle, a…

Machine Learning · Computer Science 2024-04-03 Adrian Moldovan , Angel Cataron , Razvan 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

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

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 learning makes use of data or knowledge in one problem to help solve a different, yet related, problem. It is particularly useful in brain-computer interfaces (BCIs), for coping with variations among different subjects and/or…

Human-Computer Interaction · Computer Science 2020-05-12 Wen Zhang , Dongrui Wu

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

Transfer entropy (TE) is an attractive model-free method to detect causality and infer structural connectivity of general digital systems. However it relies on high dimensions used in its definition to clearly remove the memory effect and…

Quantitative Methods · Quantitative Biology 2019-05-13 Zhong-Qi Kyle Tian , Douglas Zhou , David Cai

Entropy is a classical measure to quantify the amount of information or complexity of a system. Various entropy-based measures such as functional and spectral entropies have been proposed in brain network analysis. However, they are less…

Neurons and Cognition · Quantitative Biology 2018-03-08 Hyekyoung Lee , Eunkyung Kim , Hyejin Kang , Youngmin Huh , Youngjo Lee , Seonhee Lim , Dong Soo Lee

Despite the numerous ways now available to quantify which parts or subsystems of a network are most important, there remains a lack of centrality measures that are related to the complexity of information flows and are derived directly from…

Physics and Society · Physics 2024-05-09 Jeremy Kazimer , Manlio de Domenico , Peter J. Mucha , Dane Taylor

Information theory allows us to investigate information processing in neural systems in terms of information transfer, storage and modification. Especially the measure of information transfer, transfer entropy, has seen a dramatic surge of…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Mario Martínez-Zarzuela , Raul Vicente , Francisco J. Díaz-Pernas , Michael Wibral

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

When presented with a data stream of two statistically dependent variables, predicting the future of one of the variables (the target stream) can benefit from information about both its history and the history of the other variable (the…

Machine Learning · Computer Science 2023-03-10 Damjan Kalajdzievski , Ximeng Mao , Pascal Fortier-Poisson , Guillaume Lajoie , Blake Richards

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, a generalisation of Granger Causality, promises to measure "information transfer" from a source to a target signal by ignoring self-predictability of a target signal when quantifying the source-target relationship. A…

Neurons and Cognition · Quantitative Biology 2022-05-23 Christoph Daube , Joachim Gross , Robin A. A. Ince
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