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The broad concept of emergence is instrumental in various of the most challenging open scientific questions -- yet, few quantitative theories of what constitutes emergent phenomena have been proposed. This article introduces a formal theory…

Neurons and Cognition · Quantitative Biology 2021-01-27 Fernando E. Rosas , Pedro A. M. Mediano , Henrik J. Jensen , Anil K. Seth , Adam B. Barrett , Robin L. Carhart-Harris , Daniel Bor

Information theory gives rise to a novel method for causal skeleton discovery by expressing associations between variables as tensors. This tensor-based approach reduces the dimensionality of the data needed to test for conditional…

Machine Learning · Statistics 2020-11-10 David Sigtermans

The information causality principle is a generalisation of the no-signalling principle which implies some of the known restrictions on quantum correlations. But despite its clear physical motivation, information causality is formulated in…

Quantum Physics · Physics 2013-05-29 Sabri W. Al-Safi , Anthony J. Short

The principle of `information causality' can be used to derive an upper bound---known as the `Tsirelson bound'---on the strength of quantum mechanical correlations, and has been conjectured to be a foundational principle of nature. To date,…

History and Philosophy of Physics · Physics 2018-11-20 Michael E. Cuffaro

This study aims to capture aerodynamic causality from snapshot data with a time-varying mode decomposition technique referred to as information-theoretic machine learning. The current approach extracts time-dependent informative vortical…

Fluid Dynamics · Physics 2026-05-19 Ryo Koshikawa , Ryo Araki , Qiong Liu , Kai Fukami

Causal inference in a nonlinear system of multivariate timeseries is instrumental in disentangling the intricate web of relationships among variables, enabling us to make more accurate predictions and gain deeper insights into real-world…

Machine Learning · Computer Science 2024-01-17 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Artificial intelligence models and methods commonly lack causal interpretability. Despite the advancements in interpretable machine learning (IML) methods, they frequently assign importance to features which lack causal influence on the…

Machine Learning · Computer Science 2024-01-29 Francisco Nunes Ferreira Quialheiro Simoes , Mehdi Dastani , Thijs van Ommen

The aim of this work is to analyse the formation mechanisms of large-scale coherent structures in the flow around a wall-mounted square cylinder, due to their impact on pollutant transport within cities. To this end, we assess causal…

The capacity of distant parties to send signals to one another is a fundamental requirement in many information-processing tasks. Such ability is determined by the causal structure connecting the parties, and more generally, by the…

Quantum Physics · Physics 2022-08-31 Simon Milz , Jessica Bavaresco , Giulio Chiribella

We develop a mathematical and interpretative foundation for the enterprise of decision-theoretic statistical causality (DT), which is a straightforward way of representing and addressing causal questions. DT reframes causal inference as…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid

What is information, physically, and why does it so reliably emerge in living, cultural, and technological systems? Existing theories quantify uncertainty, cost, or compressibility, but do not identify which physical structures count as…

Neurons and Cognition · Quantitative Biology 2025-12-17 Wouter van der Wijngaart

Prediction is a fundamental objective of science. It is more difficult for chaotic and complex systems like turbulence. Here we use information theory to quantify spatial prediction using experimental data from a turbulent soap film. At…

Fluid Dynamics · Physics 2014-12-05 Rory Cerbus , Walter Goldburg

In a causal world the direction of the time arrow dictates how past causal events in a variable $X$ produce future effects in $Y$. $X$ is said to cause an effect in $Y$, if the predictability (uncertainty) about the future states of $Y$…

Chaotic Dynamics · Physics 2018-07-24 Ezequiel Bianco-Martinez , Murilo S. Baptista

Causality analysis is an important problem lying at the heart of science, and is of particular importance in data science and machine learning. An endeavor during the past 16 years viewing causality as real physical notion so as to…

Artificial Intelligence · Computer Science 2021-04-26 X. San Liang

Mastering the dynamics of social influence requires separating, in a database of information propagation traces, the genuine causal processes from temporal correlation, i.e., homophily and other spurious causes. However, most studies to…

Social and Information Networks · Computer Science 2018-08-31 Francesco Bonchi , Francesco Gullo , Bud Mishra , Daniele Ramazzotti

Information technology (IT) systems are vital for modern businesses, handling data storage, communication, and process automation. Monitoring these systems is crucial for their proper functioning and efficiency, as it allows collecting…

In an intelligent transportation system, the effects and relations of traffic flow at different points in a network are valuable features which can be exploited for control system design and traffic forecasting. In this paper, we define the…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Sina Molavipour , Germán Bassi , Mladen Čičić , Mikael Skoglund , Karl Henrik Johansson

In modeling multivariate time series for either forecast or policy analysis, it would be beneficial to have figured out the cause-effect relations within the data. Regression analysis, however, is generally for correlation relation, and…

Machine Learning · Statistics 2021-11-23 Xingwei Hu

Cognitive science and symbolic AI research suggest that event causality provides vital information for story understanding. However, machine learning systems for story understanding rarely employ event causality, partially due to the lack…

Computation and Language · Computer Science 2024-04-03 Yidan Sun , Qin Chao , Boyang Li

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri