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Related papers: TREET: TRansfer Entropy Estimation via Transformer…

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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

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

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

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 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

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

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 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

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 (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

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

The accurate estimation of human activity in cities is one of the first steps towards understanding the structure of the urban environment. Human activities are highly granular and dynamic in spatial and temporal dimensions. Estimating…

Information Theory · Computer Science 2025-01-14 Roberto Murcio , Balamurugan Soundararaj

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

Transformer models rely on Multi-Head Self-Attention (MHSA) mechanisms, where each attention head contributes to the final representation. However, their computational complexity and high memory demands due to MHSA hinders their deployment…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Lucas Maisonnave , Karim Haroun , Tom Pegeot

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

Recently, there is a growing interest in applying Transfer Entropy (TE) in quantifying the effective connectivity between artificial neurons. In a feedforward network, the TE can be used to quantify the relationships between neuron output…

Machine Learning · Computer Science 2024-04-05 Adrian Moldovan , Angel Caţaron , Răzvan Andonie

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

R\'enyi transfer entropy (RTE) is a generalization of classical transfer entropy that replaces Shannon's entropy with R\'enyi's information measure. This, in turn, introduces a new tunable parameter $\alpha$, which accounts for sensitivity…

Pattern Formation and Solitons · Physics 2026-01-06 Zlata Tabachová , Petr Jizba , Hynek Lavička , Milan Paluš

Transferring knowledge from one neural network to another has been shown to be helpful for learning tasks with few training examples. Prevailing fine-tuning methods could potentially contaminate pre-trained features by comparably high…

Machine Learning · Computer Science 2019-07-15 Farshid Varno , Behrouz Haji Soleimani , Marzie Saghayi , Lisa Di Jorio , Stan Matwin
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