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Network similarity measures quantify how and when two networks are symmetrically related, including measures of statistical association such as pairwise distance or other correlation measures between networks or between the layers of a…

Social and Information Networks · Computer Science 2020-12-17 Lucas Lacasa , Sebastiano Stramaglia , Daniele Marinazzo

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

Optimization and Control · Mathematics 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

In this paper we quantify our limited information horizon, by measuring the information necessary to locate specific nodes in a network. To investigate different ways to overcome this horizon, and the interplay between communication and…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Rosvall , K. Sneppen

Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

Neurons and Cognition · Quantitative Biology 2021-12-30 X. San Liang

We propose novel recommendation algorithms to improve fairness in networks. Fairness is measured by how close different nodes are to influencers in the network. To allow for easy comparison of fairness across graphs of different sizes, our…

Social and Information Networks · Computer Science 2022-01-11 Naisha Agarwal

Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede

Information in networks is non-uniformly distributed, enabling individuals in certain network positions to get preferential access to information. Social scientists have developed influential theories about the role of network structure in…

Social and Information Networks · Computer Science 2013-03-06 Jeon-Hyung Kang , Kristina Lerman

Information theory is a powerful framework for quantifying complexity, uncertainty, and dynamical structure in time-series data, with widespread applicability across disciplines such as physics, finance, and neuroscience. However, the…

Information Theory · Computer Science 2026-01-26 Annie G. Bryant , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

Diversity is a concept relevant to numerous domains of research varying from ecology, to information theory, and to economics, to cite a few. It is a notion that is steadily gaining attention in the information retrieval, network analysis,…

Assessing where and how information is stored in biological networks (such as neuronal and genetic networks) is a central task both in neuroscience and in molecular genetics, but most available tools focus on the network's structure as…

Information Theory · Computer Science 2023-02-24 Clifford Bohm , Douglas Kirkpatrick , Victoria Cao , Christoph Adami

How much information do large brain networks integrate as a whole over the sum of their parts? Can the dynamical complexity of such networks be globally quantified in an information-theoretic way and be meaningfully coupled to brain…

Neurons and Cognition · Quantitative Biology 2016-12-22 Xerxes D. Arsiwalla , Paul Verschure

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

The identification of influential spreaders in complex networks is a popular topic in studies of network characteristics. Many centrality measures have been proposed to address this problem, but most have limitations. In this paper, a…

Social and Information Networks · Computer Science 2019-10-08 Tao Wen , Yong Deng

We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained…

Information Theory · Computer Science 2007-07-13 Noam Slonim , Gurinder S. Atwal , Gasper Tkacik , William Bialek

Integrated Information Theory (IIT) is a prominent theory of consciousness that has at its centre measures that quantify the extent to which a system generates more information than the sum of its parts. While several candidate measures of…

Neurons and Cognition · Quantitative Biology 2019-01-30 Pedro A. M. Mediano , Anil K. Seth , Adam B. Barrett

Online social networks have become a crucial medium to disseminate the latest political, commercial, and social information. Users with high visibility are often selected as seeds to spread information and affect their adoption in target…

Social and Information Networks · Computer Science 2021-10-19 Ya-Wen Teng , Hsi-Wen Chen , De-Nian Yang , Yvonne-Anne Pignolet , Ting-Wei Li , Lydia Chen

Neurons in the brain represent information in their collective activity. The fidelity of this neural population code depends on whether and how variability in the response of one neuron is shared with other neurons. Two decades of studies…

Neurons and Cognition · Quantitative Biology 2021-02-02 Rava Azeredo da Silveira , Fred Rieke

The weight of links in a network is often related to the similarity of the nodes. Here, we introduce a simple tunable measure for analysing the similarity of nodes across different link weights. In particular, we use the measure to analyze…

Social and Information Networks · Computer Science 2016-06-21 Anders Mollgaard , Ingo Zettler , Jesper Dammeyer , Mogens H. Jensen , Sune Lehmann , Joachim Mathiesen

Today the human brain can be modeled as a graph where nodes represent different regions and links stand for statistical interactions between their activities as recorded by different neuroimaging techniques. Empirical studies have lead to…

Neurons and Cognition · Quantitative Biology 2017-11-01 J. H. Martínez , J. M. Buldú , D. Papo , F. De Vico Fallani , M. Chavez

Biological and artificial information processing systems form representations of the world that they can use to categorize, reason, plan, navigate, and make decisions. How can we measure the similarity between the representations formed by…