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In this paper we present a network model to study the impact of spatial distribution of constituents, coupling between them and diffusive processes in the context of biological situations. The model is in terms of network of mobile elements…

分子网络 · 定量生物学 2007-05-23 Kanchan Thadani , Ashutosh

Dynamic processes in complex networks are crucial for better understanding collective behavior in human societies, biological systems, and the internet. In this paper, we first focus on the continuous Markov-based modeling of evolving…

社会与信息网络 · 计算机科学 2025-05-21 Minyu Feng , Ziyan Zeng , Qin Li , Matjaž Perc , Jürgen Kurths

Many real-world networks are complex dynamical systems, where both local (e.g., changing node attributes) and global (e.g., changing network topology) processes unfold over time. Local dynamics may provoke global changes in the network, and…

机器学习 · 计算机科学 2017-10-10 Wenzhe Li , Dong Guo , Greg Ver Steeg , Aram Galstyan

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…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

物理与社会 · 物理学 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

This article presents a novel approach for learning low-dimensional distributed representations of users in online social networks. Existing methods rely on the network structure formed by the social relationships among users to extract…

社会与信息网络 · 计算机科学 2017-10-23 Harvineet Singh , Amitabha Bagchi , Parag Singla

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

机器学习 · 计算机科学 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Being cognizant of the abundance of multi-body interactions in various complex systems, here we investigate a possible way to incorporate multi-body interactions in dynamical networks. Adopting hypergraph as the underlying architecture aids…

动力系统 · 数学 2023-03-24 Anirban Banerjee , Samiron Parui

We propose to model the dynamics of metabolic networks from a systems biology point of view by four dynamical structure elements: potential function, transverse matrix, degradation matrix, and stochastic force. These four elements are…

分子网络 · 定量生物学 2007-05-23 P. Ao

A longitudinal social network evolves over time through the creation and/ or deletion of links among a set of actors (e.g. individuals or organizations). Longitudinal social networks are studied by network science and social science…

社会与信息网络 · 计算机科学 2013-11-04 Shahadat Uddin , Mahendra Piraveenan , Arif Khan , Babak Amiri

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

社会与信息网络 · 计算机科学 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

Recent years have seen tremendous growth of many online social networks such as Facebook, LinkedIn and MySpace. People connect to each other through these networks forming large social communities providing researchers rich datasets to…

社会与信息网络 · 计算机科学 2013-11-15 Muhammad Qasim Pasta , Zohaib Jan , Faraz Zaidi , Celine Rozenblat

The dynamics of decisions in complex networks is studied within a Markov process framework using numerical simulations combined with mathematical insight into the process mechanisms. A mathematical discrete-time model is derived based on a…

物理与社会 · 物理学 2012-11-01 Carlos Rodríguez Lucatero , Luis Alarcón , Roberto Bernal Jaquez , Alexander Schaum

Networks of dynamical systems play an important role in various domains and have motivated many studies on the control and analysis of linear dynamical networks. For linear network models considered in these studies, it is typically…

系统与控制 · 电气工程与系统科学 2024-05-07 Shengling Shi , Zhiyong Sun , Bart De Schutter

There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

社会与信息网络 · 计算机科学 2016-07-11 Kevin S. Xu

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…

机器学习 · 统计学 2022-03-30 Deborah Sulem , Henry Kenlay , Mihai Cucuringu , Xiaowen Dong

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

统计理论 · 数学 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

Mutualistic interactions are vital constituents of ecological and socio-economic systems. Empirical studies have found that the patterns of reciprocal relations among the participants often shows the salient features of being simultaneously…

种群与进化 · 定量生物学 2018-12-17 Weiran Cai , Jordan Snyder , Alan Hastings , Raissa M. D'Souza

Random intersection graphs containing an underlying community structure are a popular choice for modelling real-world networks. Given the group memberships, the classical random intersection graph is obtained by connecting individuals when…

概率论 · 数学 2023-08-31 Marta Milewska , Remco van der Hofstad , Bert Zwart

The Mixed-Membership Stochastic Blockmodel~(MMSB) is proposed as one of the state-of-the-art Bayesian relational methods suitable for learning the complex hidden structure underlying the network data. However, the current formulation of…

机器学习 · 统计学 2020-02-04 Zheng Yu , Xuhui Fan , Marcin Pietrasik , Marek Reformat