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We propose and study a model of weighted scale-free networks incorporating a stochastic scheme for weight assignments to the links, taking into account both the popularity and fitness of a node. As the network grows the weights of links are…

统计力学 · 物理学 2009-11-10 Dafang Zheng , Steffen Trimper , Bo Zheng , P. M. Hui

We propose an extended local-world evolving network model including a triad formation step. In the process of network evolution, random fluctuation in the number of new edges is involved. We derive analytical expressions for degree…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong , Bing Wang , Shuigeng Zhou , Jihong Guan

The recent high level of interest in weighted complex networks gives rise to a need to develop new measures and to generalize existing ones to take the weights of links into account. Here we focus on various generalizations of the…

统计力学 · 物理学 2013-05-29 J. Saramaki , M. Kivela , J. -P. Onnela , K. Kaski , J. Kertesz

This paper presents a minimalist neural regression network as an aggregate of independent identical regression blocks that are trained simultaneously. Moreover, it introduces a new multiplicative parameter, shared by all the neural units of…

机器学习 · 计算机科学 2016-07-06 Soheil Keshmiri

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

物理与社会 · 物理学 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

Most real-world networks evolve over time. Existing literature proposes models for dynamic networks that are either unlabeled or assumed to have a single membership structure. On the other hand, a new family of Mixed Membership Stochastic…

机器学习 · 计算机科学 2023-04-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

统计力学 · 物理学 2015-06-24 M. E. J. Newman , M. Girvan

In federated learning, differences in the data or objectives between the participating nodes motivate approaches to train a personalized machine learning model for each node. One such approach is weighted averaging between a locally trained…

机器学习 · 计算机科学 2021-10-26 Felix Grimberg , Mary-Anne Hartley , Sai P. Karimireddy , Martin Jaggi

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

统计力学 · 物理学 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. These include scale-free degree distributions, small-world structure and assortative mixing by…

社会与信息网络 · 计算机科学 2013-05-24 Lovro Šubelj , Marko Bajec

In this paper, we present a simple model of scale-free networks that incorporates both preferential & random attachment and anti-preferential & random deletion at each time step. We derive the degree distribution analytically and show that…

数据分析、统计与概率 · 物理学 2007-05-23 Dinghua Shi , Xiang Zhu , Liming Liu

The Barab\'{a}si-Albert (BA) model is extended to include the concept of local world and the microscopic event of adding edges. With probability $p$, we add a new node with $m$ edges which preferentially link to the nodes presented in the…

无序系统与神经网络 · 物理学 2009-11-11 Bing Wang , Huanwen Tang , Zhongzhi Zhang , Zhilong Xiu

Many machine learning algorithms are based on the assumption that training examples are drawn independently. However, this assumption does not hold anymore when learning from a networked sample because two or more training examples may…

人工智能 · 计算机科学 2017-06-06 Yuyi Wang , Jan Ramon , Zheng-Chu Guo

Over the past decade, community detection in overlapping un-weighted networks, where nodes can belong to multiple communities, has been one of the most popular topics in modern network science. However, community detection in overlapping…

社会与信息网络 · 计算机科学 2025-10-08 Huan Qing

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

统计方法学 · 统计学 2013-08-06 Salvatore Ingrassia , Antonio Punzo

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian networks. By imposing additional assumptions about the nature of the probabilistic models represented in the networks, we derive neural…

无序系统与神经网络 · 物理学 2010-04-30 Michael J. Barber , John W. Clark

We propose a model for evolving networks by merging building blocks represented as complete graphs, reminiscent of modules in biological system or communities in sociology. The model shows power-law degree distributions, power-law…

统计力学 · 物理学 2009-11-11 Kazuhiro Takemoto , Chikoo Oosawa

A symmetric nonnegative matrix factorization algorithm based on self-paced learning was proposed to improve the clustering performance of the model. It could make the model better distinguish normal samples from abnormal samples in an…

机器学习 · 计算机科学 2024-10-22 Lei Wang , Liang Du , Peng Zhou , Peng Wu

Steerable convolutional neural networks (SCNNs) enhance task performance by modelling geometric symmetries through equivariance constraints on weights. Yet, unknown or varying symmetries can lead to overconstrained weights and decreased…

机器学习 · 计算机科学 2025-05-09 Lars Veefkind , Gabriele Cesa

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

物理与社会 · 物理学 2009-11-11 Chunguang Li , Philip K. Maini