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We propose a new latent Boolean feature model for complex networks that captures different types of node interactions and network communities. The model is based on a new concept in graph theory, termed the Boolean intersection…

Combinatorics · Mathematics 2016-06-30 Son Hoang Dau , Olgica Milenkovic

Analytical understanding of how low-dimensional latent features reveal themselves in large-dimensional data is still lacking. We study this by defining a linear latent feature model with additive noise constructed from probabilistic…

Disordered Systems and Neural Networks · Physics 2022-07-20 Philipp Fleig , Ilya Nemenman

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We derive properties of Latent Variable Models for networks, a broad class of models that includes the widely-used Latent Position Models. These include the average degree distribution, clustering coefficient, average path length and degree…

Methodology · Statistics 2015-06-26 Riccardo Rastelli , Nial Friel , Adrian E. Raftery

Besides the complexity in time or in number of messages, a common approach for analyzing distributed algorithms is to look at the assumptions they make on the underlying network. We investigate this question from the perspective of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-02 Arnaud Casteigts , Serge Chaumette , Afonso Ferreira

Many real-world networks known as attributed networks contain two types of information: topology information and node attributes. It is a challenging task on how to use these two types of information to explore structural regularities. In…

Physics and Society · Physics 2019-01-28 Zhenhai Chang , Caiyan Jia , Xianjun Yin , Yimei Zheng

Training generative models that capture rich semantics of the data and interpreting the latent representations encoded by such models are very important problems in un-/self-supervised learning. In this work, we provide a simple algorithm…

Machine Learning · Computer Science 2024-09-02 Samuel C. Hoffman , Payel Das , Karthikeyan Shanmugam , Kahini Wadhawan , Prasanna Sattigeri

We introduce a growing network evolution model with nodal attributes. The model describes the interactions between potentially violent V and non-violent N agents who have different affinities in establishing connections within their own…

Physics and Society · Physics 2012-01-12 Kristinka Ivanova , Ivan Iordanov

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a…

Methodology · Statistics 2025-03-19 Emre Anakok , Pierre Barbillon , Colin Fontaine , Elisa Thebault

In this paper, we tackle the problem of innovation spreading from a modeling point of view. We consider a networked system of individuals, with a competition between two groups. We show its relation to the innovation spreading issues. We…

Physics and Society · Physics 2010-07-07 Krzysztof Suchecki , Andrea Scharnhorst , Janusz A. Holyst

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

Disordered Systems and Neural Networks · Physics 2015-06-24 Chunguang Li , Guanrong Chen

We consider analysis of relational data (a matrix), in which the rows correspond to subjects (e.g., people) and the columns correspond to attributes. The elements of the matrix may be a mix of real and categorical. Each subject and…

Machine Learning · Computer Science 2012-07-03 Esther Salazar , Matthew Cain , Elise Darling , Stephen Mitroff , Lawrence Carin

In this paper, we propose an evolving network model growing fast in units of module, based on the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected…

Physics and Society · Physics 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

Dynamic network data have become ubiquitous in social network analysis, with new information becoming available that captures when friendships form, when corporate transactions happen and when countries interact with each other. Flexible…

Applications · Statistics 2023-05-16 Yunran Chen , Alexander Volfovsky

It appeared recently that the classical random graph model used to represent real-world complex networks does not capture their main properties. Since then, various attempts have been made to provide accurate models. We study here a model…

Statistical Mechanics · Physics 2021-03-22 Jean-Loup Guillaume , Matthieu Latapy

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

Social and Information Networks · Computer Science 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years…

The complex topology of real networks allows its actors to change their functional behavior. Network models provide better understanding of the evolutionary mechanisms being accountable for the growth of such networks by capturing the…

Social and Information Networks · Computer Science 2017-04-11 Arif Mohaimin Sadri , Samiul Hasan , Satish V. Ukkusuri , Juan Esteban Suarez Lopez