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Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

Methodology · Statistics 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü

We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set $S$ of nodes of a prescribed cardinality, we add a new node that is adjacent to…

Discrete Mathematics · Computer Science 2020-02-21 Anthony Bonato , Erin Meger

Dynamic networks are ubiquitous for modelling sequential graph-structured data, e.g., brain connectome, population flows and messages exchanges. In this work, we consider dynamic networks that are temporal sequences of graph snapshots, and…

Machine Learning · Statistics 2022-03-30 Deborah Sulem , Henry Kenlay , Mihai Cucuringu , Xiaowen Dong

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

Discrete Mathematics · Computer Science 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Recent approaches to drape garments quickly over arbitrary human bodies leverage self-supervision to eliminate the need for large training sets. However, they are designed to train one network per clothing item, which severely limits their…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Luca De Luigi , Ren Li , Benoît Guillard , Mathieu Salzmann , Pascal Fua

The future networks pose intense demands for intelligent and customized designs to cope with the surging network scale, dynamically time-varying environments, diverse user requirements, and complicated manual configuration. However,…

Networking and Internet Architecture · Computer Science 2023-08-01 Yudong Huang , Minrui Xu , Xinyuan Zhang , Dusit Niyato , Zehui Xiong , Shuo Wang , Tao Huang

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

Disordered Systems and Neural Networks · Physics 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

We introduce a graph generating model aimed at representing the evolution of protein interaction networks. The model is based on the hypotesis of evolution by duplications and divergence of the genes which produce proteins. The obtained…

Statistical Mechanics · Physics 2007-05-23 A. Vazquez , A. Flammini , A. Maritan , A. Vespignani

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…

We consider the problem of optimizing the interconnection graphs of complex networks to promote synchronization. When traditional optimization methods are inapplicable, due to uncertain or unknown node dynamics, we propose a data-driven…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Marco Coraggio , Mario di Bernardo

Network structures are extremely important to the study of political science. Much of the data in its subfields are naturally represented as networks. This includes trade, diplomatic and conflict relationships. The social structure of…

Methodology · Statistics 2011-05-05 Drew Conway

Most real-world graphs exhibit a hierarchical structure, which is often overlooked by existing graph generation methods. To address this limitation, we propose a novel graph generative network that captures the hierarchical nature of graphs…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami

We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time only one aggregate signal from the set of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Francesco Sorrentino , Edward Ott

Neural generative models can be used to learn complex probability distributions from data, to sample from them, and to produce probability density estimates. We propose a computational framework for developing neural generative models…

Machine Learning · Computer Science 2022-01-06 Alexander Ororbia , Daniel Kifer

Artificial Intelligence (AI) research often aims to develop models that can generalize reliably across complex datasets, yet this remains challenging in fields where data is scarce, intricate, or inaccessible. This paper introduces a novel…

Machine Learning · Computer Science 2024-12-20 Mohammad Zbeeb , Mohammad Ghorayeb , Mariam Salman

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel…

Physics and Society · Physics 2008-01-23 Thilo Gross , Bernd Blasius

When modeling a social dynamics with an agent-oriented approach, researchers have to describe the structure of interactions within the population. Given the intractability of extensive network collecting, they rely on random network…

Social and Information Networks · Computer Science 2020-03-05 Samuel Thiriot

In wireless communications, transforming network into graphs and processing them using deep learning models, such as Graph Neural Networks (GNNs), is one of the mainstream network optimization approaches. While effective, the generative AI…

Networking and Internet Architecture · Computer Science 2024-05-09 Jiacheng Wang , Yinqiu Liu , Hongyang Du , Dusit Niyato , Jiawen Kang , Haibo Zhou , Dong In Kim