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Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

Information diagram and the I-measure are useful mnemonics where random variables are treated as sets, and entropy and mutual information are treated as a signed measure. Although the I-measure has been successful in machine proofs of…

Information Theory · Computer Science 2023-07-17 Cheuk Ting Li

Social network position confers power and social capital. In the setting of online social networks that have massive reach, creating mathematical representations of social capital is an important step towards understanding how network…

Learning directionality between variables is crucial yet challenging, especially for mechanistic relationships without a priori ordering assumptions. We propose a coefficient of asymmetry to quantify directional asymmetry using Shannon's…

Methodology · Statistics 2025-11-11 Soumik Purkayastha , Peter X. -K. Song

Semantic communication is envisioned as a promising technique to break through the Shannon limit. However, semantic inference and semantic error correction have not been well studied. Moreover, error correction methods of existing semantic…

Artificial Intelligence · Computer Science 2023-03-16 Fuhui Zhou , Yihao Li , Ming Xu , Lu Yuan , Qihui Wu , Rose Qingyang Hu , Naofal Al-Dhahir

Phylogenetic networks provide a means of describing the evolutionary history of sets of species believed to have undergone hybridization or gene flow during their evolution. The mutation process for a set of such species can be modeled as a…

Populations and Evolution · Quantitative Biology 2022-11-23 Travis Barton , Elizabeth Gross , Colby Long , Joseph Rusinko

The networked opinion diffusion in online social networks (OSN) is often governed by the two genres of opinions - endogenous opinions that are driven by the influence of social contacts among users, and exogenous opinions which are formed…

Social and Information Networks · Computer Science 2021-02-12 Paramita Koley , Avirup Saha , Sourangshu Bhattacharya , Niloy Ganguly , Abir De

We test a segmentation algorithm, based on the calculation of the Jensen-Shannon divergence between probability distributions, to two symbolic sequences of literary and musical origin. The first sequence represents the successive appearance…

Computation and Language · Computer Science 2007-07-09 Damian H. Zanette

With improvements in data resolution and quality, researchers can now represent complex systems as signed, weighted, and directed networks. In this article, we introduce a framework for measuring net and indirect effects without simplifying…

Physics and Society · Physics 2025-10-10 Carlos Gómez-Ambrosi , Violeta Calleja-Solanas

Spurred by a huge interest in the post-Shannon communication, it has recently been shown that leveraging semantics can significantly improve the communication effectiveness across many tasks. In this article, inspired by human…

Information Theory · Computer Science 2023-03-10 Hyowoon Seo , Jihong Park , Mehdi Bennis , Mérouane Debbah

Convolutional networks are powerful visual models that yield hierarchies of features. We show that convolutional networks by themselves, trained end-to-end, pixels-to-pixels, improve on the previous best result in semantic segmentation. Our…

Computer Vision and Pattern Recognition · Computer Science 2016-05-23 Evan Shelhamer , Jonathan Long , Trevor Darrell

Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows. Here we explore the application of this…

Confining an answer to the question whether and how the coherent operation of network elements is determined by the the network structure is the topic of our work. We map the structure of signal flow in directed networks by analysing the…

Data Analysis, Statistics and Probability · Physics 2011-06-22 M. Bányai , L. Négyessy , F. Bazsó

Many real systems have been modelled in terms of network concepts, and written texts are a particular example of information networks. In recent years, the use of network methods to analyze language has allowed the discovery of several…

Computation and Language · Computer Science 2016-06-28 Henrique F. de Arruda , Luciano da F. Costa , Diego R. Amancio

The participation coefficient is a widely used metric of the diversity of a node's connections with respect to a modular partition of a network. An information-theoretic formulation of this concept of connection diversity, referred to here…

Physics and Society · Physics 2023-07-25 Pavle Cajic , Dominic Agius , Oliver M. Cliff , James M. Shine , Joseph T. Lizier , Ben D. Fulcher

Respondent driven sampling (RDS) is a method often used to estimate population properties (e.g. sexual risk behavior) in hard-to-reach populations. It combines an effective modified snowball sampling methodology with an estimation procedure…

Methodology · Statistics 2013-08-19 Jens Malmros , Naoki Masuda , Tom Britton

In this paper we present the application of a novel methodology to scientific citation and collaboration networks. This methodology is designed for understanding the governing dynamics of evolving networks and relies on an attachment…

Disordered Systems and Neural Networks · Physics 2009-09-29 Gabor Csardi , Katherine Strandburg , Laszlo Zalanyi , Jan Tobochnik , Peter Erdi

We describe the evolution of macromolecules as an information transmission process and apply tools from Shannon information theory to it. This allows us to isolate three independent, competing selective pressures that we term compression,…

Quantum Physics · Physics 2007-05-23 Charles Ofria , Christoph Adami , Travis C. Collier

We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is identical to its guessing number and can be bounded from below…

Combinatorics · Mathematics 2007-11-28 Soren Riis

In computer science, we can theoretically neatly separate transmission and processing of information, hardware and software, and programs and their inputs. This is much more intricate in biology, Nevertheless, I argue that Shannon's concept…

Populations and Evolution · Quantitative Biology 2020-11-02 Jürgen Jost