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We study correlation measures for complex systems. First, we investigate some recently proposed measures based on information geometry. We show that these measures can increase under local transformations as well as under discarding…

Adaptation and Self-Organizing Systems · Physics 2012-04-20 Tobias Galla , Otfried Gühne

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

The Integrated Information Theory (IIT) might be our current best bet at a scientific explanation of phenomenal consciousness. IIT focuses on the distinctively subjective and phenomenological aspects of conscious experience. Currently, it…

Neurons and Cognition · Quantitative Biology 2025-05-06 Azenet Lopez , Carlos Montemayor

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

The extraction of information from a quantum system unavoidably implies a modification of the measured system itself. It has been demonstrated recently that partial measurements can be carried out in order to extract only a portion of the…

Modern IoT and sensor networks generate vast amounts of data, posing significant challenges for storage, transmission, and real-time processing. Traditional approaches, such as compressive sensing and machine learning-based compression,…

Information Theory · Computer Science 2026-05-12 Hrishikesh Dutta , Roberto Minerva , Reza Farahbakhsh , Noel Crespi

This article firstly reviews and summarizes the rapid development of information technology, characterized by the close combination of computer and network communication, which leads to a series of investigations, including the analyses of…

Information Theory · Computer Science 2022-03-10 Jianfeng Xu , Zhenyu Liu , Shuliang Wang , Tao Zheng , Yashi Wang , Yingfei Wang , Yongjie Qiao , Yingxu Dang

Conceptually, partial information decomposition (PID) is concerned with separating the information contributions several sources hold about a certain target by decomposing the corresponding joint mutual information into contributions such…

Information Theory · Computer Science 2021-06-25 Kyle Schick-Poland , Abdullah Makkeh , Aaron J. Gutknecht , Patricia Wollstadt , Anja Sturm , Michael Wibral

We propose uncommon self-knowledge (USK) as a candidate criterion for consciousness: synergistic information a system carries about itself that exists only in the joint of its subsystems and is destroyed by decomposition. Drawing on…

Neurons and Cognition · Quantitative Biology 2026-05-15 Krti Tallam

Complex systems often exhibit multiple levels of organization covering a wide range of physical scales, so the study of the hierarchical decomposition of their structure and function is frequently convenient. To better understand this…

Information Theory · Computer Science 2020-07-08 Juan I. Perotti , Nahuel Almeira , Fabio Saracco

An information-theoretic framework known as integrated information theory (IIT) has been introduced recently for the study of the emergence of consciousness in the brain [D. Balduzzi and G. Tononi, PLoS Comput. Biol. 4, e1000091 (2008)].…

Neurons and Cognition · Quantitative Biology 2011-07-11 Andre Nathan , Valmir C. Barbosa

Information processing in neural systems can be described and analysed at multiple spatiotemporal scales. Generally, information at lower levels is more fine-grained and can be coarse-grained in higher levels. However, information processed…

Neurons and Cognition · Quantitative Biology 2020-07-21 Acer Y. C. Chang , Martin Biehl , Yen Yu , Ryota Kanai

One of the hallmarks of biological organisms is their ability to integrate disparate information sources to optimize their behavior in complex environments. How this capability can be quantified and related to the functional complexity of…

Populations and Evolution · Quantitative Biology 2011-11-08 Jeffrey Edlund , Nicolas Chaumont , Arend Hintze , Christof Koch , Giulio Tononi , Christoph Adami

In neural networks, task-relevant information is represented jointly by groups of neurons. However, the specific way in which this mutual information about the classification label is distributed among the individual neurons is not well…

Information Theory · Computer Science 2023-06-08 David A. Ehrlich , Andreas C. Schneider , Viola Priesemann , Michael Wibral , Abdullah Makkeh

The evaluation of Indoor Positioning Systems (IPS) mostly relies on local deployments in the researchers' or partners' facilities. The complexity of preparing comprehensive experiments, collecting data, and considering multiple scenarios…

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

Cloud computing and Internet of Things have independently changed the course of technological development. The use of a synergistic approach that amalgamates the benefits of both these path breaking technologies into a single package is…

Computers and Society · Computer Science 2019-12-03 Manzoor Ansari , Syed Arshad Ali , Mansaf Alam

A general notion of information-related complexity applicable to both natural and man-made systems is proposed. The overall approach is to explicitly consider a rational agent performing a certain task with a quantifiable degree of success.…

Data Analysis, Statistics and Probability · Physics 2013-01-18 Eugene Perevalov , David Grace

The traditional approach to the quantitative study of segregation is to employ indices that are selected by ``desirable properties''. Here, we detail how information theory underpins entropy-based indices and demonstrate how desirable…

Physics and Society · Physics 2022-12-15 Boris Barron , Yunus A. Kinkhabwala , Chriss Hess , Matthew Hall , Itai Cohen , Tomás A. Arias

Correlations between different partitions of quantum systems play a central role in a variety of many-body quantum systems, and they have been studied exhaustively in experimental and theoretical research. Here, we investigate dynamical…

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