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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…

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…

信息论 · 计算机科学 2025-07-22 Omer Luxembourg , Dor Tsur , Haim Permuter

Estimating the entropy of a discrete random variable is a fundamental problem in information theory and related fields. This problem has many applications in various domains, including machine learning, statistics and data compression. Over…

信息论 · 计算机科学 2020-12-22 Yuval Shalev , Amichai Painsky , Irad Ben-Gal

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…

信息论 · 计算机科学 2019-05-28 David Sigtermans

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…

计算复杂性 · 计算机科学 2024-09-24 Dian Jin

We describe how to analyze the wide class of non stationary processes with stationary centered increments using Shannon information theory. To do so, we use a practical viewpoint and define ersatz quantities from time-averaged probability…

信息论 · 计算机科学 2020-02-19 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas Garnier

Transfer entropy has been used to quantify the directed flow of information between source and target variables in many complex systems. While transfer entropy was originally formulated in discrete time, in this paper we provide a framework…

信息论 · 计算机科学 2017-04-05 Richard E. Spinney , Mikhail Prokopenko , Joseph T. Lizier

Transfer entropy is a widely used measure for quantifying directed information flows in complex systems. While the challenges of estimating transfer entropy for continuous data are well known, it has two major shortcomings for data of…

数据分析、统计与概率 · 物理学 2025-11-27 Alec Kirkley

The characterisation of information processing is an important task in complex systems science. Information dynamics is a quantitative methodology for modelling the intrinsic information processing conducted by a process represented as a…

信息论 · 计算机科学 2018-08-01 Richard E. Spinney , Joseph T. Lizier

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…

神经元与认知 · 定量生物学 2019-03-06 Benjamin Walker , Katherine Newhall

Data stream mining problem has caused widely concerns in the area of machine learning and data mining. In some recent studies, ensemble classification has been widely used in concept drift detection, however, most of them regard…

数据结构与算法 · 计算机科学 2017-08-14 Junhong Wang , Shuliang Xu , Bingqian Duan , Caifeng Liu , Jiye Liang

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

数据分析、统计与概率 · 物理学 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

Transfer entropy is a measure of the magnitude and the direction of information flow between jointly distributed stochastic processes. In recent years, its permutation analogues are considered in the literature to estimate the transfer…

混沌动力学 · 物理学 2013-03-12 Taichi Haruna , Kohei Nakajima

We present a measure of local information transfer, derived from an existing averaged information-theoretical measure, namely transfer entropy. Local transfer entropy is used to produce profiles of the information transfer into each…

元胞自动机与格子气 · 物理学 2008-09-22 Joseph T. Lizier , Mikhail Prokopenko , Albert Y. Zomaya

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.…

分子网络 · 定量生物学 2025-07-11 Avishek Das , Pieter Rein ten Wolde

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

数据分析、统计与概率 · 物理学 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

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…

信息论 · 计算机科学 2025-01-14 Roberto Murcio , Balamurugan Soundararaj

Whether the system under study is a shoal of fish, a collection of neurons, or a set of interacting atmospheric and oceanic processes, transfer entropy measures the flow of information between time series and can detect possible causal…

机器学习 · 计算机科学 2024-11-08 Kieran A. Murphy , Zhuowen Yin , Dani S. Bassett

Quantification of information content and its temporal variation in intracellular calcium spike trains in neurons helps one understand functions such as memory, learning, and cognition. Such quantification could also reveal pathological…

信号处理 · 电气工程与系统科学 2021-02-02 Sathish Ande , Srinivas Avasarala , Jayanth R Regatti , Neha Pandey , Sarpras Swain , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

数据结构与算法 · 计算机科学 2014-11-11 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh
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