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Causal diagrams based on do intervention are useful tools to formalize, process and understand causal relationship among variables. However, the do intervention has controversial interpretation of causal questions for non-manipulable…

Artificial Intelligence · Computer Science 2020-06-03 Gong Heyang , Zhu Ke

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

Information flow analysis is a powerful technique for reasoning about the sensitive information exposed by a program during its execution. While past work has proposed information theoretic metrics (e.g., Shannon entropy, min-entropy,…

Cryptography and Security · Computer Science 2010-09-22 Ji Zhu , Mudhakar Srivatsa

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

Information flow analysis has largely ignored the setting where the analyst has neither control over nor a complete model of the analyzed system. We formalize such limited information flow analyses and study an instance of it: detecting the…

Cryptography and Security · Computer Science 2014-05-13 Michael Carl Tschantz , Amit Datta , Anupam Datta , Jeannette M. Wing

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…

In this work, a strategy to estimate the information transfer between the elements of a complex system, from the time series associated to the evolution of this elements, is presented. By using the nearest neighbors of each state, the local…

Information Theory · Computer Science 2018-12-05 P. Garcia , R. Mujica

The fundamental building block of social influence is for one person to elicit a response in another. Researchers measuring a "response" in social media typically depend either on detailed models of human behavior or on platform-specific…

Social and Information Networks · Computer Science 2013-02-19 Greg Ver Steeg , Aram Galstyan

This paper considers how to classify the effects of interventions in causal models for outcomes and exposures observed over time. First, we demonstrate the limitations of the most common uses of potential outcomes and causal directed…

Methodology · Statistics 2026-05-29 Russell Steele , Naftali Weinberger , Tess Baker , Ian Shrier

Stips, Macias, Coughlan, Garcia-Gorriz, and Liang (2016, Nature Scientific Reports) use information flows (Liang, 2008, 2014) to establish causality from various forcings to global temperature. We show that the formulas being used hinges on…

Applications · Statistics 2021-03-22 Philippe Goulet Coulombe , Maximilian Göbel

Recent developments have created the ability to quantify information flow among components that interact in a dynamical system, and have led to significant advances in characterizing the dependence between the variables involved. In…

Data Analysis, Statistics and Probability · Physics 2023-09-27 Praveen Kumar

Recently, it has been shown that the causality and information flow between two time series can be inferred in a rigorous and quantitative sense, and, besides, the resulting causality can be normalized. A corollary that follows is, in the…

Data Analysis, Statistics and Probability · Physics 2020-01-30 X. San Liang , Xiuqun Yang

Like natural complex systems such as the Earth's climate or a living cell, semiconductor lithography systems are characterized by nonlinear dynamics across more than a dozen orders of magnitude in space and time. Thousands of sensors…

Information Theory · Computer Science 2021-04-07 Errol Zalmijn , Tom Heskes , Tom Claassen

This work outlines the novel application of the empirical analysis of causation, presented by Kutach, to the study of information theory and its role in physics. The central thesis of this paper is that causation and information are…

History and Philosophy of Physics · Physics 2018-12-04 Geoff Beck

A central question for causal inference is to decide whether a set of correlations fit a given causal structure. In general, this decision problem is computationally infeasible and hence several approaches have emerged that look for…

Quantum Physics · Physics 2018-07-26 Mirjam Weilenmann , Roger Colbeck

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…

Information Theory · Computer Science 2018-08-01 Richard E. Spinney , Joseph T. Lizier

Informational entropy is often identified as physical entropy. This is surprising because the two quantities are differently defined and furthermore the former is a subjective quantity while the latter is an objective one. We describe the…

Quantum Physics · Physics 2014-05-01 Won-Young Hwang

We give a mathematical criterion for the concept of information flow within closed quantum systems described by quantum registers. We define the concepts of separations and entanglements over quantum registers and use them with the quantum…

Quantum Physics · Physics 2007-05-23 Jon Eakins , George Jaroszkiewicz

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

For sensory networks, we determine the rate with which they acquire information about the changing external conditions. Comparing this rate with the thermodynamic entropy production that quantifies the cost of maintaining the network, we…

Statistical Mechanics · Physics 2013-04-08 A. C. Barato , D Hartich , U. Seifert
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