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Causal models communicate our assumptions about causes and effects in real-world phe- nomena. Often the interest lies in the identification of the effect of an action which means deriving an expression from the observed probability…

Machine Learning · Statistics 2018-06-20 Santtu Tikka , Juha Karvanen

Estimating an individual's potential outcomes under counterfactual treatments is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, impulse…

Machine Learning · Statistics 2025-02-13 Yulun Wu , Layne C. Price , Zichen Wang , Vassilis N. Ioannidis , Robert A. Barton , George Karypis

Mediation analysis is a strategy for understanding the mechanisms by which treatments or interventions affect later outcomes. Mediation analysis is frequently applied in randomized trial settings, but typically assumes: a) that randomized…

Methodology · Statistics 2021-12-30 Kara E. Rudolph , Nicholas Williams , Ivan Diaz

The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is…

Chaotic Dynamics · Physics 2015-05-27 M. S. Baptista , R. M. Rubinger , E. R. V. Junior , J. C. Sartorelli , U. Parlitz , C. Grebogi

Mediation analysis has been used in many disciplines to explain the mechanism or process that underlies an observed relationship between an exposure variable and an outcome variable via the inclusion of mediators. Decompositions of the…

Methodology · Statistics 2020-08-03 Xin Gao , Li Li , Li Luo

This paper presents a distributed communication model to investigate multistable perception, where a stimulus gives rise to multiple competing perceptual interpretations. We formalize stable perception as consensus achieved through…

Computer Science and Game Theory · Computer Science 2023-10-19 Yuqing Kong

Interactions between internet users are mediated by their devices and the common support infrastructure in data centres. Keeping track of causality amongst actions that take place in this distributed system is key to provide a seamless…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-12 Seyed Hossein Haeri , Peter Van Roy , Carlos Baquero , Christopher Meiklejohn

People often interact repeatedly: with relatives, through file sharing, in politics, etc. Many such interactions are reciprocal: reacting to the actions of the other. In order to facilitate decisions regarding reciprocal interactions, we…

Computer Science and Game Theory · Computer Science 2016-03-01 Gleb Polevoy , Mathijs de Weerdt , Catholijn Jonker

Optimizing recommender systems based on user interaction data is mainly seen as a problem of dealing with selection bias, where most existing work assumes that interactions from different users are independent. However, it has been shown…

Information Retrieval · Computer Science 2022-07-04 Norman Knyazev , Harrie Oosterhuis

Information flow (or information transfer as may be called) the widely applicable general physics notion can be rigorously derived from first principles, rather than axiomatically proposed as an ansatz. Its logical association with…

Chaotic Dynamics · Physics 2015-03-31 X. San Liang

In this paper, we study measures of quantum non-Markovianity based on the conditional mutual information. We obtain such measures by considering multiple parts of the total environment such that the conditional mutual information can be…

Quantum Physics · Physics 2021-09-15 Zhiqiang Huang , Xiao-Kan Guo

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Methodology · Statistics 2023-08-01 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber

Information geometry is used to quantify the amount of information integration within multiple terminals of a causal dynamical system. Integrated information quantifies how much information is lost when a system is split into parts and…

Information Theory · Computer Science 2017-09-08 Shun-ichi Amari , Naotsugu Tsuchiya , Masafumi Oizumi

We provide an agent-based model to explain the emergence of collective opinions not based on feedback between different opinions, but based on emotional interactions between agents. The driving variable is the emotional state of agents,…

Physics and Society · Physics 2019-09-02 Frank Schweitzer , Tamas Krivachy , David Garcia

We consider two simple variants of a framework for reasoning about knowledge amongst communicating groups of players. Our goal is to clarify the resulting epistemic issues. In particular, we investigate what is the impact of common…

Logic in Computer Science · Computer Science 2009-07-03 Krzysztof R. Apt , Andreas Witzel , Jonathan A. Zvesper

Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise distances, pairwise differences of phases, etc...), functions of…

Machine Learning · Computer Science 2022-08-05 Jinchao Feng , Mauro Maggioni , Patrick Martin , Ming Zhong

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

Similar to oil that acted as a basic raw material and key driving force of industrial society, information acts as a raw material and principal mover of knowledge society in the knowledge production, propagation and application. New…

Computers and Society · Computer Science 2016-04-19 Gordana Dodig-Crnkovic , Daniel Kade , Markus Wallmyr , Tobias Holstein , Alexander Almér

Mediation analysis serves as a crucial tool to obtain causal inference based on directed acyclic graphs, which has been widely employed in the areas of biomedical science, social science, epidemiology and psychology. Decomposition of total…

Methodology · Statistics 2020-04-14 Xin Gao , Li Li , Li Luo

Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…