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We develop a general formalism for representing and understanding structure in complex systems. In our view, structure is the totality of relationships among a system's components, and these relationships can be quantified using information…

Statistical Mechanics · Physics 2014-09-17 Benjamin Allen , Blake C. Stacey , Yaneer Bar-Yam

After Shannon, entropy becomes a fundamental quantity to describe not only uncertainity or chaos of a system but also information carried by the system. Shannon's important discovery is to give a mathematical expression of the mutual…

Quantum Physics · Physics 2007-05-23 Masanori Ohya

Named Entity Recognition and Relation Extraction are two crucial and challenging subtasks in the field of Information Extraction. Despite the successes achieved by the traditional approaches, fundamental research questions remain open.…

Computation and Language · Computer Science 2024-05-15 Yao Wang , Xin Liu , Weikun Kong , Hai-Tao Yu , Teeradaj Racharak , Kyoung-Sook Kim , Minh Le Nguyen

Describing statistical dependencies is foundational to empirical scientific research. For uncovering intricate and possibly non-linear dependencies between a single target variable and several source variables within a system, a principled…

Information Theory · Computer Science 2024-03-28 David A. Ehrlich , Kyle Schick-Poland , Abdullah Makkeh , Felix Lanfermann , Patricia Wollstadt , Michael Wibral

We address three outstanding problems in information theory. Problem one is the definition of a non-negative decomposition of the information conveyed by two or more sources about a target variable into the specific contribution of each…

Information Theory · Computer Science 2022-06-28 Cesare Magri

Decomposing knowledge into interchangeable pieces promises a generalization advantage when there are changes in distribution. A learning agent interacting with its environment is likely to be faced with situations requiring novel…

Machine Learning · Computer Science 2021-05-20 Kanika Madan , Nan Rosemary Ke , Anirudh Goyal , Bernhard Schölkopf , Yoshua Bengio

Information integration plays a pivotal role in biomedical studies by facilitating the combination and analysis of independent datasets from multiple studies, thereby uncovering valuable insights that might otherwise remain obscured due to…

Methodology · Statistics 2024-07-02 Chixiang Chen , Jia Liang , Elynn Chen , Ming Wang

Configurational information is generated when three or more sources of variance interact. The variations not only disturb each other relationally, but by selecting upon each other, they are also positioned in a configuration. A…

Physics and Society · Physics 2009-11-10 Loet Leydesdorff

Complex networks often exhibit emergent behaviors, where simple dyadic interactions yield collective dynamics that cannot be explained by examining the system's units individually or in pairs. Understanding how redundant and synergistic…

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

The uncertainty principle can be expressed in entropic terms, also taking into account the role of entanglement in reducing uncertainty. The information exclusion principle bounds instead the correlations that can exist between the outcomes…

Quantum Physics · Physics 2014-02-26 Patrick J. Coles , Marco Piani

Human dynamical social networks encode information and are highly adaptive. To characterize the information encoded in the fast dynamics of social interactions, here we introduce the entropy of dynamical social networks. By analysing a…

Physics and Society · Physics 2012-01-17 Kun Zhao , Márton Karsai , Ginestra Bianconi

Maximum Entropy is a powerful concept that entails a sharp separation between relevant and irrelevant variables. It is typically invoked in inference, once an assumption is made on what the relevant variables are, in order to estimate a…

Statistical Mechanics · Physics 2018-01-09 Luigi Gresele , Matteo Marsili

We propose a formal expansion of the transfer entropy to put in evidence irreducible sets of variables which provide information for the future state of each assigned target. Multiplets characterized by a large contribution to the expansion…

Quantitative Methods · Quantitative Biology 2015-06-04 S. Stramaglia , Guo-Rong Wu , M. Pellicoro , D. Marinazzo

Recent research has identified interactions between networks as crucial for the outcome of evolutionary games taking place on them. While the consensus is that interdependence does promote cooperation by means of organizational complexity…

Physics and Society · Physics 2013-08-23 Zhen Wang , Attila Szolnoki , Matjaz Perc

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

This paper introduces a framework for modeling cyclical and feedback-driven information flow through a generalized family of entropy-modulated transformations called derangetropy functionals. Unlike scalar and static entropy measures such…

Information Theory · Computer Science 2025-06-17 Masoud Ataei , Xiaogang Wang

Homophily -- the tendency of individuals to interact with similar others -- shapes how networks form and function. Yet existing approaches typically collapse homophily to a single scale, either one parameter for the whole network or one per…

Physics and Society · Physics 2025-12-16 Abbas K. Rizi , Riccardo Michielan , Clara Stegehuis , Mikko Kivelä

We review of the interface between (theoretical) physics and information for non-experts. The origin of information as related to the notion of entropy is described, first in the context of thermodynamics then in the context of statistical…

Classical Physics · Physics 2007-12-18 F. Alexander Bais , J. Doyne Farmer

An information theoretic measure is derived that quantifies the statistical coherence between systems evolving in time. The standard time delayed mutual information fails to distinguish information that is actually exchanged from shared…

Chaotic Dynamics · Physics 2009-10-31 Thomas Schreiber