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Preferential attachment is widely used to model power-law behavior of degree distributions in both directed and undirected networks. In a directed preferential attachment model, despite the well-known marginal power-law degree…

Probability · Mathematics 2018-08-07 Tiandong Wang , Sidney I. Resnick

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

Statistical Mechanics · Physics 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi

In the age of digital interaction, person-to-person relationships existing on social media may be different from the very same interactions that exist offline. Examining potential or spurious relationships between members in a social…

Artificial Intelligence · Computer Science 2021-10-19 Zhihao Wu , Taoran Li , Ray Roman

Humans use social context to specify preferences over behaviors, i.e. their reward functions. Yet, algorithms for inferring reward models from preference data do not take this social learning view into account. Inspired by pragmatic human…

Machine Learning · Computer Science 2024-05-24 Andi Peng , Yuying Sun , Tianmin Shu , David Abel

We propose a novel trust metric for social networks which is suitable for application in recommender systems. It is personalised and dynamic and allows to compute the indirect trust between two agents which are not neighbours based on the…

Computers and Society · Computer Science 2009-05-09 Frank E. Walter , Stefano Battiston , Frank Schweitzer

Network models are used to study interconnected systems across many physical, biological, and social disciplines. Such models often assume a particular network-generating mechanism, which when fit to data produces estimates of…

Social and Information Networks · Computer Science 2022-01-17 Ryan E. Langendorf , Matthew G. Burgess

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources…

Disordered Systems and Neural Networks · Physics 2024-12-23 Marián Boguñá , M. Ángeles Serrano

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

Popularity is attractive -- this is the formula underlying preferential attachment, a popular explanation for the emergence of scaling in growing networks. If new connections are made preferentially to more popular nodes, then the resulting…

Physics and Society · Physics 2013-04-19 Fragkiskos Papadopoulos , Maksim Kitsak , M. Angeles Serrano , Marian Boguna , Dmitri Krioukov

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

Physics and Society · Physics 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

We observe that the human trajectory is not only forward predictable, but also backward predictable. Both forward and backward trajectories follow the same social norms and obey the same physical constraints with the only difference in…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Hao Sun , Zhiqun Zhao , Zhihai He

Relational data characterized by directed edges with count measurements are common in social science. Most existing methods either assume the count edges are derived from continuous random variables or model the edge dependency by…

Methodology · Statistics 2025-02-18 Wenqin Du , Bailey K. Fosdick , Wen Zhou

The analysis in this paper helps to explain the formation of growing networks with degree distributions that follow extended exponential or power-law tails. We present a generic model in which edge dynamics are driven by a continuous…

Physics and Society · Physics 2020-11-12 Jan Medina-López , Jorge Finke

In this paper, we propose a growing random complex network model, which we call context dependent preferential attachment model (CDPAM), when the preference of a new node to get attached to old nodes is determined by the local and global…

Social and Information Networks · Computer Science 2015-01-13 Pradumn Kumar Pandey , Bibhas Adhikari

In social systems subject to indirect reciprocity, a positive reputation is key for increasing one's likelihood of future positive interactions. The flow of gossip can amplify the impact of a person's actions on their reputation depending…

Social and Information Networks · Computer Science 2023-08-30 Julian Kates-Harbeck , Martin A. Nowak

Online social networks are a dominant medium in everyday life to stay in contact with friends and to share information. In Twitter, users can connect with other users by following them, who in turn can follow back. In recent years,…

Social and Information Networks · Computer Science 2022-05-06 Christoph Schweimer , Christine Gfrerer , Florian Lugstein , David Pape , Jan A. Velimsky , Robert Elsässer , Bernhard C. Geiger

We claim that networks are created according to the priority attachment mechanism and we show a simple model which uses the priority attachment to generate both synthetic and close to empirical networks. Priority attachment is a mechanism…

Social and Information Networks · Computer Science 2019-03-07 Mikołaj Morzy , Tomasz Kajdanowicz , Przemysław Kazienko , Grzegorz Miebs , Arkadiusz Rusin

Prevailing accounts in both multi-agent AI and the social sciences explain social structure through top-down abstractions-such as institutions, norms, or trust-yet lack simulateable models of how such structures emerge from individual…

Computers and Society · Computer Science 2025-08-07 Egil Diau

Growing network models with preferential attachment dependent on both age and degree are proposed to simulate certain features of citation network noted in \cite{red2}. In this directed network, a new node gets attached to an older node…

Physics and Society · Physics 2015-06-26 Kamalika Basu Hajra , Parongama Sen
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