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Related papers: ITENE: Intrinsic Transfer Entropy Neural Estimator

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We propose the Intuitive Reasoning Network (IRENE) - a novel neural model for intuitive psychological reasoning about agents' goals, preferences, and actions that can generalise previous experiences to new situations. IRENE combines a graph…

Artificial Intelligence · Computer Science 2023-12-13 Matteo Bortoletto , Lei Shi , Andreas Bulling

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

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

The Information Plane is a conceptual framework used to analyze the flow of information in neural networks, but traditional methods based on activations may not fully capture the dynamics of information processing. This paper introduces a…

Machine Learning · Computer Science 2024-08-28 Jaouad Dabounou , Amine Baazzouz

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

We propose a new measure to estimate the direction of information flux in multivariate time series from complex systems. This measure, based on the slope of the phase spectrum (Phase Slope Index) has invariance properties that are important…

Measuring Mutual Information (MI) between high-dimensional, continuous, random variables from observed samples has wide theoretical and practical applications. Recent work, MINE (Belghazi et al. 2018), focused on estimating tight…

Machine Learning · Computer Science 2019-05-28 Xiao Lin , Indranil Sur , Samuel A. Nastase , Ajay Divakaran , Uri Hasson , Mohamed R. Amer

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

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, an information-theoretic measure of time-directed information transfer between joint processes, has steadily gained popularity in the analysis of complex stochastic dynamics in diverse fields, including the neurosciences,…

Applications · Statistics 2015-06-05 Lionel Barnett , Terry Bossomaier

We propose a new estimator to measure directed dependencies in time series. The dimensionality of data is first reduced using a new non-uniform embedding technique, where the variables are ranked according to a weighted sum of the amount of…

Methodology · Statistics 2020-12-02 Payam Shahsavari Baboukani , Carina Graversen , Emina Alickovic , Jan Østergaard

Machine learning models must continuously self-adjust themselves for novel data distribution in the open world. As the predominant principle, entropy minimization (EM) has been proven to be a simple yet effective cornerstone in existing…

Machine Learning · Statistics 2024-10-16 Qingyang Zhang , Yatao Bian , Xinke Kong , Peilin Zhao , Changqing Zhang

In the analysis of any type of system, granting maximum information extraction from its data is non-trivial. Confidence in successful information extraction typically builds on prior knowledge of the studied system or on the user's…

Data Analysis, Statistics and Probability · Physics 2026-01-01 Matteo Becchi , Giovanni Maria Pavan

Causal inference is perhaps one of the most fundamental concepts in science, beginning originally from the works of some of the ancient philosophers, through today, but also weaved strongly in current work from statisticians, machine…

Information Theory · Computer Science 2020-03-31 Sudam Surasinghe , Erik M. Bollt

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

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 (TE) was introduced by Schreiber in 2000 as a measurement of the predictive capacity of one stochastic process with respect to another. Originally stated for discrete time processes, we expand the theory in line with recent…

Probability · Mathematics 2019-07-02 Joshua N. Cooper , Christopher D. Edgar

We study estimation of the average treatment effect (ATE) from a single network in observational settings with interference. The weak cross-unit dependence is modeled via an endogenous peer-effect (network autoregressive) term that induces…

Methodology · Statistics 2026-03-02 Yong Wu , Shuyuan Wu , Xinwei Sun , Xuening Zhu

Information theory has been taken as a prospective tool for quantifying the complexity of complex networks. In this paper, we first study the information entropy or uncertainty of a path using the information theory. Then we apply the path…

Physics and Society · Physics 2016-05-04 Zhongqi Xu , Cunlai Pu , Jian Yang

Considering the difficulty of interpreting generative model output, there is significant current research focused on determining meaningful evaluation metrics. Several recent approaches utilize "precision" and "recall," borrowed from the…

Machine Learning · Computer Science 2025-02-28 Alexis Fox , Samarth Swarup , Abhijin Adiga