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The Normalized Mutual Information (NMI) has been widely used to evaluate the accuracy of community detection algorithms. However in this article we show that the NMI is seriously affected by systematic errors due to finite size of networks,…

Physics and Society · Physics 2015-12-09 Pan Zhang

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

Social and Information Networks · Computer Science 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

Many biological networks have been labelled scale-free as their degree distribution can be approximately described by a powerlaw distribution. While the degree distribution does not summarize all aspects of a network it has often been…

Molecular Networks · Quantitative Biology 2007-05-23 M. P. H. Stumpf , P. J. Ingram , I. Nouvel , C. Wiuf

We investigate the role of degree correlation among nodes on the stability of complex networks, by studying spectral properties of randomly weighted matrices constructed from directed Erd\"{o}s-R\'enyi and scale-free random graph models. We…

Statistical Mechanics · Physics 2007-05-23 Markus Brede , Sitabhra Sinha

In social networks, neighborhood is crucial for understanding individual behavior in response to environments, and thus it is essential to analyze an individual's local perspective within the global network. This paper studies how to…

Methodology · Statistics 2025-02-25 Lijia Wang , Xiao Han , Yanhui Wu , Y. X. Rachel Wang

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

In this paper we present a technique to couple non-traditional data with statistics based on survey data, in order to partially correct for the bias produced by non-random sample selections. All major social media platforms represent huge…

Methodology · Statistics 2022-12-21 Valerio Astuti

In this work we explore degree assortativity in complex networks, and extend its usual definition beyond that of nearest neighbours. We apply this definition to model networks, and describe a rewiring algorithm that induces assortativity.…

Physics and Society · Physics 2024-06-04 Pádraig MacCarron , Shane Mannion , Thierry Platini

Complex networks are often used to represent systems that are not static but grow with time: people make new friendships, new papers are published and refer to the existing ones, and so forth. To assess the statistical significance of…

Physics and Society · Physics 2018-06-01 Zhuo-Ming Ren , Manuel Sebastian Mariani , Yi-Cheng Zhang , Matus Medo

Studies on social networks have proved that endogenous and exogenous factors influence dynamics. Two streams of modeling exist on explaining the dynamics of social networks: 1) models predicting links through network properties, and 2)…

Social and Information Networks · Computer Science 2012-10-22 Julie M. Birkholz , Rena Bakhshi , Ravindra Harige , Maarten van Steen , Peter Groenewegen

Cognitive biases are widespread in humans and animals alike, and can sometimes be reinforced by social interactions. One prime bias in judgment and decision-making is the human tendency to underestimate large quantities. Previous research…

Physics and Society · Physics 2022-01-12 Bertrand Jayles , Clément Sire , Ralf H. J. M Kurvers

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

Probability · Mathematics 2014-02-03 Nelly Litvak , Remco van der Hofstad

Respondent-driven sampling (RDS) is a popular method for sampling hard-to-survey populations that leverages social network connections through peer recruitment. While RDS is most frequently applied to estimate the prevalence of infections…

Methodology · Statistics 2016-10-24 Ashton M. Verdery , Jacob C. Fisher , Nalyn Siripong , Kahina Abdesselam , Shawn Bauldry

Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be…

Discrete Mathematics · Computer Science 2015-09-30 Kevin E. Bassler , Charo I. Del Genio , Péter L. Erdős , István Miklós , Zoltán Toroczkai

Progress in natural language generation research has been shaped by the ever-growing size of language models. While large language models pre-trained on web data can generate human-sounding text, they also reproduce social biases and…

Computation and Language · Computer Science 2023-06-06 Celine Wald , Lukas Pfahler

With the rapid growth of online social media, people become increasingly overwhelmed by the volume and the content of the information present in the environment. The threshold model is currently one of the most common methods to capture the…

Social and Information Networks · Computer Science 2020-03-27 Ece C. Mutlu , Ivan Garibay

We address the key challenge of size-induced distribution shifts in graph neural networks (GNNs) and their impact on the generalization of GNNs to larger graphs. Existing literature operates under diverse assumptions about distribution…

Machine Learning · Computer Science 2025-08-04 Gaotang Li , Danai Koutra , Yujun Yan

Mobile phone data have been extensively used in the recent years to study social behavior. However, most of these studies are based on only partial data whose coverage is limited both in space and time. In this paper, we point to an…

Physics and Society · Physics 2016-09-30 Adeline Decuyper , Arnaud Browet , Vincent Traag , Vincent D. Blondel , Jean-Charles Delvenne

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

Social and Information Networks · Computer Science 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

Social media has transformed global communication, yet its network structure can systematically distort perceptions through effects like the majority illusion and echo chambers. We introduce the perception gap index, a graph-based measure…

Social and Information Networks · Computer Science 2025-11-18 Hemant Kumar Gehlot , Mohammad Shirzadi , Junhao Gan , Ahad N. Zehmakan