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Motivated by widely observed examples in nature, society and software, where groups of already related nodes arrive together and attach to an existing network, we consider network growth via sequential attachment of linked node groups, or…

Statistical Mechanics · Physics 2009-04-30 Vladimir Filkov , Zachary M. Saul , Soumen Roy , Raissa M. D'Souza , Premkumar T. Devanbu

Growing synthetic networks that follow power law distributions of a node's degree often involves adding one node at a time. Each node is added to the network with a fixed amount of edges and those edges are frozen for all future time steps.…

Physics and Society · Physics 2026-01-27 Justin Downes

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

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

One-shot Network Pruning at Initialization (OPaI) is an effective method to decrease network pruning costs. Recently, there is a growing belief that data is unnecessary in OPaI. However, we obtain an opposite conclusion by ablation…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Yinan Yang , Yu Wang , Ying Ji , Heng Qi , Jien Kato

Our work introduces an approach for estimating the contribution of attachment mechanisms to the formation of growing networks. We present a generic model in which growth is driven by the continuous attachment of new nodes according to…

Probability · Mathematics 2019-02-20 Jan Medina , Jorge Finke , Camilo Rocha

In this paper we present a framework for the extension of the preferential attachment (PA) model to heterogeneous complex networks. We define a class of heterogeneous PA models, where node properties are described by fixed states in an…

Other Condensed Matter · Physics 2009-11-13 A. Santiago , R. M. Benito

This paper presents ProFi-Net, a novel few-shot learning framework for WiFi-based gesture recognition that overcomes the challenges of limited training data and sparse feature representations. ProFi-Net employs a prototype-based metric…

Machine Learning · Computer Science 2025-04-30 Zhe Cui , Shuxian Zhang , Kangzhi Lou , Le-Nam Tran

We provide optimal rates of convergence to the asymptotic distribution of the (properly scaled) degree of a fixed vertex in two preferential attachment random graph models. Our approach is to show that these distributions are unique fixed…

Probability · Mathematics 2013-03-15 Erol A. Peköz , Adrian Röllin , Nathan Ross

We study a new class of preferential attachment trees with \emph{self-reinforcement}. At each time, each vertex is assigned a weight equal to the cumulative sum over past times of an affine function of its degree. A new vertex attaches…

Probability · Mathematics 2026-05-21 Shankar Bhamidi , Remco van der Hofstad , Frank den Hollander , Rounak Ray

We develop and test a rewiring method (originally proposed by Newman) which allows to build random networks having pre-assigned degree distribution and two-point correlations. For the case of scale-free degree distributions, we discretize…

Physics and Society · Physics 2019-09-26 M. L. Bertotti , G. Modanese

We study properties of some standard network models when the population is split into two types and the connection pattern between the types is varied. The studied models are generalizations of the Erd\H{o}s-R\'{e}nyi graph, the…

Probability · Mathematics 2017-07-17 Maria Deijfen , Robert Fitzner

This paper presents an analysis of a temporal network that describes the social connections of a large-scale (~ 30,000) sample of online social network users, inhabitants of a fixed city. We tested how the main network formation…

Social and Information Networks · Computer Science 2022-10-04 Ivan V. Kozitsin , Eduard R. Sayfulin , Vyacheslav L. Goiko

Despite the great progress made by deep CNNs in image semantic segmentation, they typically require a large number of densely-annotated images for training and are difficult to generalize to unseen object categories. Few-shot segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Kaixin Wang , Jun Hao Liew , Yingtian Zou , Daquan Zhou , Jiashi Feng

In real life, networks are dynamic in nature; they grow over time and often exhibit power-law degree sequences. To model the evolving structure of the internet, Barab\'{a}si and Albert introduced a simple dynamic model with a power-law…

Probability · Mathematics 2024-11-22 Rounak Ray

We perform experimental verification of the preferential attachment model that is commonly accepted as a generating mechanism of the scale-free complex networks. To this end we chose citation network of Physics papers and traced citation…

Physics and Society · Physics 2013-02-15 Michael Golosovsky , Sorin Solomon

In one-shot federated learning (FL), clients collaboratively train a global model in a single round of communication. Existing approaches for one-shot FL enhance communication efficiency at the expense of diminished accuracy. This paper…

Machine Learning · Computer Science 2024-02-06 Mahdi Beitollahi , Alex Bie , Sobhan Hemati , Leo Maxime Brunswic , Xu Li , Xi Chen , Guojun Zhang

We introduce a model for a preferentially attached network which has grown from a small world network. Here, the average path length and the clustering coefficient are estimated, and the topological properties of modeled networks are…

Physics and Society · Physics 2015-12-04 Seungyoung Lee

Preferential attachment drives the evolution of many complex networks. Its analytical studies mostly consider the simplest case of a network that grows uniformly in time despite the accelerating growth of many real networks. Motivated by…

Physics and Society · Physics 2020-02-20 Jun Sun , Matúš Medo , Steffen Staab

Relevance and importance are the main factors when humans build network connections. We propose an evolutionary network model based on preferential attachment(PA) considering these factors. We analyze and compute several important features…

Physics and Society · Physics 2014-12-25 Weituo Zhang , Chjan Lim
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