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Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

社会与信息网络 · 计算机科学 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

Economic growth is conventionally analyzed at the national level, yet cities generate the bulk of global output. Here we construct GDP trajectories for 8,808 functional urban areas (FUAs) across 165 countries over 1993-2019 using…

综合经济学 · 经济学 2026-03-18 Isaak Mengesha , Debraj Roy

Diffusion on complex networks is a convenient framework to simulate a great variety of transport systems. The effects of failures in the network links may be used to cascade phenomena or the congestion formation in the system. A real time…

物理与社会 · 物理学 2026-05-26 Edoardo Rolando , Armando Bazzani

We conduct cluster analysis on a class of locally asymptotically self-similar stochastic processes, which includes multifractional Brownian motion as a representative. When the true number of clusters is supposed to be known, a new…

机器学习 · 统计学 2020-01-15 Qidi Peng , Nan Rao , Ran Zhao

Hierarchical clustering of networks consists in finding a tree of communities, such that lower levels of the hierarchy reveal finer-grained community structures. There are two main classes of algorithms tackling this problem. Divisive…

社会与信息网络 · 计算机科学 2025-11-25 Maximilien Dreveton , Daichi Kuroda , Matthias Grossglauser , Patrick Thiran

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

社会与信息网络 · 计算机科学 2018-09-21 Yunpeng Zhao

Real-world networks often come with side information that can help to improve the performance of network analysis tasks such as clustering. Despite a large number of empirical and theoretical studies conducted on network clustering methods…

机器学习 · 统计学 2022-07-29 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

In this paper, a hub refers to a non-terminal vertex of degree at least three. We study the minimum number of hubs needed in a network to guarantee certain flow demand constraints imposed between multiple pairs of sources and sinks. We…

组合数学 · 数学 2013-08-14 Easton Li Xu , Guangyue Han

Large-scale networks of human interaction, in particular country-wide telephone call networks, can be used to redraw geographical maps by applying algorithms of topological community detection. The geographic projections of the emerging…

社会与信息网络 · 计算机科学 2013-12-23 Stanislav Sobolevsky , Michael Szell , Riccardo Campari , Thomas Couronné , Zbigniew Smoreda , Carlo Ratti

We study the problem of clustering nodes in a dynamic graph, where the connections between nodes and nodes' cluster memberships may change over time, e.g., due to community migration. We first propose a dynamic stochastic block model that…

机器学习 · 计算机科学 2021-06-24 Yuhang Yao , Carlee Joe-Wong

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

机器学习 · 计算机科学 2015-04-21 Adway Mitra

Identifying edge-dense communities that are also well-connected is an important aspect of understanding community structure. Prior work has shown that community detection methods can produce poorly connected communities, and some can even…

社会与信息网络 · 计算机科学 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , Lahari Anne , George Chacko , Tandy Warnow

We consider the observability model in networks with arbitrary topologies. We introduce a system of coupled nonlinear equations, valid under the locally tree-like ansatz, to describe the size of the largest observable cluster as a function…

物理与社会 · 物理学 2016-09-28 Yang Yang , Filippo Radicchi

Selecting the number of communities is a fundamental challenge in network clustering. The silhouette score offers an intuitive, model-free criterion that balances within-cluster cohesion and between-cluster separation. Albeit its widespread…

社会与信息网络 · 计算机科学 2026-01-01 Zongyue Teng , Jun Yan , Dandan Liu , Panpan Zhang

Using anonymized mobility data from Facebook users and publicly available information on the Italian population, we model the circulation of people in Italy before and during the early phase of the SARS-CoV-2 pandemic (COVID-19). We perform…

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

计量经济学 · 经济学 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

Over the last few years, traffic data has been exploding and the transportation discipline has entered the era of big data. It brings out new opportunities for doing data-driven analysis, but it also challenges traditional analytic methods.…

机器学习 · 统计学 2019-07-18 Renjie Chen , Jingyue Zhang , Nalini Ravishanker , Karthik Konduri

We study a model of network with clustering and desired node degree. The original purpose of the model was to describe optimal structures of scientific collaboration in the European Union. The model belongs to the family of exponential…

物理与社会 · 物理学 2009-11-13 Piotr Fronczak , Agata Fronczak , Janusz A. Hołyst

Components of complex systems are often classified according to the way they interact with each other. In graph theory such groups are known as clusters or communities. Many different techniques have been recently proposed to detect them,…

物理与社会 · 物理学 2010-04-30 Muhittin Mungan , Jose J. Ramasco