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Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

社会与信息网络 · 计算机科学 2018-02-21 Austin R. Benson

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

机器学习 · 统计学 2022-12-21 Madeline Navarro , Santiago Segarra

Network motif provides a way to uncover the basic building blocks of most complex networks. This task usually demands high computer processing, specially for motif with 5 or more vertices. This paper presents an extended methodology with…

数据结构与算法 · 计算机科学 2018-04-27 Luis A. A. Meira , Vinícius R. Máximo , Alvaro L. Fazenda , Arlindo F. da Conceição

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

社会与信息网络 · 计算机科学 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

无序系统与神经网络 · 物理学 2024-12-24 Yixiong Ren , Jianhui Zhou

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

计算物理 · 物理学 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

社会与信息网络 · 计算机科学 2013-08-28 Pili Hu , Wing Cheong Lau

This paper introduces new techniques for sampling attributed networks to support standard Data Mining tasks. The problem is important for two reasons. First, it is commonplace to perform data mining tasks such as clustering and…

社会与信息网络 · 计算机科学 2017-02-24 Suhansanu Kumar , Hari Sundaram

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

机器学习 · 计算机科学 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

Complex visual effects such as caustics are often produced by light paths containing multiple consecutive specular vertices (dubbed specular chains), which pose a challenge to unbiased estimation in Monte Carlo rendering. In this work, we…

计算机视觉与模式识别 · 计算机科学 2023-11-23 Zhimin Fan , Pengpei Hong , Jie Guo , Changqing Zou , Yanwen Guo , Ling-Qi Yan

Studying the topology of so-called {\em real networks}, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that…

应用统计 · 统计学 2010-11-23 Etienne Birmele

Following the success of deep convolutional networks in various vision and speech related tasks, researchers have started investigating generalizations of the well-known technique for graph-structured data. A recently-proposed method called…

社会与信息网络 · 计算机科学 2018-09-21 John Boaz Lee , Ryan A. Rossi , Xiangnan Kong , Sungchul Kim , Eunyee Koh , Anup Rao

Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

机器学习 · 计算机科学 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

To understand the structure of a network, it can be useful to break it down into its constituent pieces. This is the approach taken in a multitude of successful network analysis methods, such as motif analysis. These methods require one to…

物理与社会 · 物理学 2023-08-02 Tarmo Nurmi , Mikko Kivelä

A graph homomorphism is a map between two graphs that preserves adjacency relations. We consider the problem of sampling a random graph homomorphism from a graph into a large network. We propose two complementary MCMC algorithms for…

概率论 · 数学 2023-01-11 Hanbaek Lyu , Facundo Memoli , David Sivakoff

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

社会与信息网络 · 计算机科学 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

统计理论 · 数学 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

社会与信息网络 · 计算机科学 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

Designing algorithms that generate networks with a given degree sequence while varying both subgraph composition and distribution of subgraphs around nodes is an important but challenging research problem. Current algorithms lack control of…

物理与社会 · 物理学 2015-12-07 Martin Ritchie , Luc Berthouze , Istvan Z Kiss