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Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing…

Social and Information Networks · Computer Science 2016-10-19 Xiaowei Chen , Yongkun Li , Pinghui Wang , John C. S. Lui

We consider the task of detecting a salient cluster in a sensor network, that is, an undirected graph with a random variable attached to each node. Motivated by recent research in environmental statistics and the drive to compete with the…

Statistics Theory · Mathematics 2013-03-22 Ery Arias-Castro , Geoffrey R. Grimmett

As large graph datasets become increasingly common across many fields, sampling is often needed to reduce the graphs into manageable sizes. This procedure raises critical questions about representativeness as no sample can capture the…

Social and Information Networks · Computer Science 2025-02-25 Alan Zhu , Jiaqi Ma , Qiaozhu Mei

I start by reviewing some basic properties of random graphs. I then consider the role of random walks in complex networks and show how they may be used to explain why so many long tailed distributions are found in real data sets. The key…

Statistical Mechanics · Physics 2012-12-11 T. S. Evans

In this work we study the set size distribution estimation problem, where elements are randomly sampled from a collection of non-overlapping sets and we seek to recover the original set size distribution from the samples. This problem has…

Statistics Theory · Mathematics 2012-12-04 Fabricio Murai , Bruno Ribeiro , Don Towsley , Pinghui Wang

Dynamic sampling mechanisms in deep learning architectures have demonstrated utility across many computer vision models, though the theoretical analysis of these structures has not yet been unified. In this paper we connect the various…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Dario Morle , Reid Zaffino

Recent stochastic gradient methods that have appeared in the literature base their efficiency and global convergence properties on a suitable control of the variance of the gradient batch estimate. This control is typically achieved by…

Optimization and Control · Mathematics 2025-06-11 Marco Boresta , Alberto De Santis , Stefano Lucidi

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

Physics and Society · Physics 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

The volume of data generated by internet and social networks is increasing every day, and there is a clear need for efficient ways of extracting useful information from them. As those data can take different forms, it is important to use…

Machine Learning · Statistics 2017-05-25 Bertrand Lebichot , Marco Saerens

State-of-the-art techniques for probability sampling of users of online social networks (OSNs) are based on random walks on a single social relation (typically friendship). While powerful, these methods rely on the social graph being fully…

Networking and Internet Architecture · Computer Science 2011-06-20 Minas Gjoka , Carter T. Butts , Maciej Kurant , Athina Markopoulou

Although many successful ensemble clustering approaches have been developed in recent years, there are still two limitations to most of the existing approaches. First, they mostly overlook the issue of uncertain links, which may mislead the…

Machine Learning · Statistics 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

Edge sampling is an important topic in network analysis. It provides a natural way to reduce network size while retaining desired features of the original network. Sampling methods that only use local information are common in practice as…

Statistics Theory · Mathematics 2020-08-12 Can M. Le

In the last two decades we are witnessing a huge increase of valuable big data structured in the form of graphs or networks. To apply traditional machine learning and data analytic techniques to such data it is necessary to transform graphs…

Machine Learning · Computer Science 2024-03-22 Aleksandar Tomčić , Miloš Savić , Miloš Radovanović

Eigenvalues of a graph are of high interest in graph analytics for Big Data due to their relevance to many important properties of the graph including network resilience, community detection and the speed of viral propagation. Accurate…

Social and Information Networks · Computer Science 2018-05-22 Guyue Han , Harish Sethu

Knowledge graphs are large, useful, but incomplete knowledge repositories. They encode knowledge through entities and relations which define each other through the connective structure of the graph. This has inspired methods for the joint…

Artificial Intelligence · Computer Science 2018-03-05 Bhushan Kotnis , Vivi Nastase

A large body of work has been devoted to defining and identifying clusters or communities in social and information networks. We explore from a novel perspective several questions related to identifying meaningful communities in large…

Data Structures and Algorithms · Computer Science 2008-10-13 Jure Leskovec , Kevin J. Lang , Anirban Dasgupta , Michael W. Mahoney

Relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample. This method is often used when global information about the network is not available or…

Social and Information Networks · Computer Science 2018-03-08 Lisette Espín-Noboa , Claudia Wagner , Fariba Karimi , Kristina Lerman

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

Network sampling is used around the world for surveys of vulnerable, hard-to-reach populations including people at risk for HIV, opioid misuse, and emerging epidemics. The sampling methods include tracing social links to add new people to…

Methodology · Statistics 2020-02-05 Steve Thompson

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…

Physics and Society · Physics 2023-08-02 Tarmo Nurmi , Mikko Kivelä