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Measures of information transfer have become a popular approach to analyze interactions in complex systems such as the Earth or the human brain from measured time series. Recent work has focused on causal definitions of information transfer…

Methodology · Statistics 2016-03-21 Jakob Runge

Complex networks are made up of vertices and edges. The edges, which may be directed or undirected, are equipped with positive weights. Modeling complex systems that consist of different types of objects leads to multilayer networks, in…

Numerical Analysis · Mathematics 2024-09-10 Silvia Noschese , Lothar Reichel

We develop a theoretical framework for defining and identifying flows of information in computational systems. Here, a computational system is assumed to be a directed graph, with "clocked" nodes that send transmissions to each other along…

Information Theory · Computer Science 2023-07-21 Praveen Venkatesh , Sanghamitra Dutta , Pulkit Grover

During the past two decades, percolation has long served as a basic paradigm for network resilience, community formation and so on in complex systems. While the percolation transition is known as one of the most robust continuous…

Physics and Society · Physics 2018-08-03 Deokjae Lee , Y. S. Cho , K. -I. Goh , D. -S. Lee , B. Kahng

Aiming at the disorder problem (i.e. uncertainty problem) of the utilization of network resources commonly existing in multi-hop transmission networks, the paper proposes the idea and the corresponding supporting theory, i.e. theory of…

Networking and Internet Architecture · Computer Science 2023-04-24 Bo Li , Mao Yang , Zhongjiang Yan

A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

Complex network theory is used to investigate the structure of meaningful concepts in written texts of individual authors. Networks have been constructed after a two phase filtering, where words with less meaning contents are eliminated,…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Silvia M. G. Caldeira , Thierry C. Petit Lobao , R. F. S. Andrade , Alexis Neme , J. G. V. Miranda

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

Information Theory · Computer Science 2007-07-16 Oded Kafri

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

The multi-access channels in quantum information theory are considered. Classical messages from independent sources, which are represented as some quantum states, are transported by a channel to one address. The messages can interact with…

Quantum Physics · Physics 2007-05-23 A. E. Allahverdyan , D. B. Saakian

Information theory is a mathematical theory of learning with deep connections with topics as diverse as artificial intelligence, statistical physics, and biological evolution. Many primers on information theory paint a broad picture with…

Information Theory · Computer Science 2019-03-26 Philip Chodrow

The development of modern information technologies permits to collect and to analyze huge amounts of statistical data in different spheres of life. The main problem is not to only to collect but to process all relevant information. The…

Information Retrieval · Computer Science 2010-07-08 O. Mryglod , Yu. Holovatch

Information delivery in a network of agents is a key issue for large, complex systems that need to do so in a predictable, efficient manner. The delivery of information in such multi-agent systems is typically implemented through routing…

Computer Science and Game Theory · Computer Science 2016-06-27 Omer Lev , Moshe Tennenholtz , Aviv Zohar

Shannon based his information theory on the notion of probability measures as it we developed by Kolmogorov. In this paper we study some fundamental problems in information theory based on expectation measures. In the theory of expectation…

Information Theory · Computer Science 2025-01-30 Peter Harremoës

A large body of work in psycholinguistics has focused on the idea that online language comprehension can be shallow or `good enough': given constraints on time or available computation, comprehenders may form interpretations of their input…

Computation and Language · Computer Science 2024-05-15 Jiaxuan Li , Richard Futrell

Several systems can be modeled as sets of interconnected networks or networks with multiple types of connections, here generally called multilayer networks. Spreading processes such as information propagation among users of an online social…

Social and Information Networks · Computer Science 2015-06-03 Mostafa Salehi , Rajesh Sharma , Moreno Marzolla , Matteo Magnani , Payam Siyari , Danilo Montesi

Classical percolation theory underlies many processes of information transfer along the links of a network. In these standard situations, the requirement for two nodes to be able to communicate is the presence of at least one uninterrupted…

Statistical Mechanics · Physics 2023-10-25 Lorenzo Cirigliano , Claudio Castellano , Gábor Timár

We survey the prospects for an Information Dynamics which can serve as the basis for a fundamental theory of information, incorporating qualitative and structural as well as quantitative aspects. We motivate our discussion with some basic…

Logic in Computer Science · Computer Science 2016-04-12 Samson Abramsky

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

We investigate and quantify the interplay between topology and ability to send specific signals in complex networks. We find that in a majority of investigated real-world networks the ability to communicate is favored by the network…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Trusina , M. Rosvall , K. Sneppen
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