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Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

Social and Information Networks · Computer Science 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

A generative model based on training deep architectures is proposed. The model consists of K networks that are trained together to learn the underlying distribution of a given data set. The process starts with dividing the input data into K…

Machine Learning · Computer Science 2017-02-14 Ershad Banijamali , Ali Ghodsi , Pascal Poupart

Recently popularized graph neural networks achieve the state-of-the-art accuracy on a number of standard benchmark datasets for graph-based semi-supervised learning, improving significantly over existing approaches. These architectures…

Machine Learning · Statistics 2018-03-13 Kiran K. Thekumparampil , Chong Wang , Sewoong Oh , Li-Jia Li

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

We consider the problem of recovering a binary rating matrix as well as clusters of users and items based on a partially observed matrix together with side-information in the form of social and item similarity graphs. These two graphs are…

Information Theory · Computer Science 2021-01-14 Qiaosheng Zhang , Vincent Y. F. Tan , Changho Suh

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

Recent years have witnessed the emerging success of graph neural networks (GNNs) for modeling structured data. However, most GNNs are designed for homogeneous graphs, in which all nodes and edges belong to the same types, making them…

Machine Learning · Computer Science 2020-03-04 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Yizhou Sun

We present novel graph kernels for graphs with node and edge labels that have ordered neighborhoods, i.e. when neighbor nodes follow an order. Graphs with ordered neighborhoods are a natural data representation for evolving graphs where…

Machine Learning · Computer Science 2018-05-30 Moez Draief , Konstantin Kutzkov , Kevin Scaman , Milan Vojnovic

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

Molecular Networks · Quantitative Biology 2007-05-23 Manuel Middendorf , Etay Ziv , Carter Adams , Jen Hom , Robin Koytcheff , Chaya Levovitz , Gregory Woods , Linda Chen , Chris Wiggins

We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

Data Structures and Algorithms · Computer Science 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

Timestamped relational datasets consisting of records between pairs of entities are ubiquitous in data and network science. For applications like peer-to-peer communication, email, social network interactions, and computer network security,…

Data Structures and Algorithms · Computer Science 2023-11-20 Michael Ostroski , Geoffrey Sanders , Trevor Steil , Roger Pearce

Clustering the nodes of a graph allows the analysis of the topology of a network. The stochastic block model is a clustering method based on a probabilistic model. Initially developed for binary networks it has recently been extended to…

Computation · Statistics 2014-02-17 Jean-Benoist Leger

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Researchers developing implementations of distributed graph analytic algorithms require graph generators that yield graphs sharing the challenging characteristics of real-world graphs (small-world, scale-free, heavy-tailed degree…

Discrete Mathematics · Computer Science 2018-12-17 Geoffrey Sanders , Roger Pearce , Timothy La Fond , Jeremy Kepner

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by…

Machine Learning · Computer Science 2021-06-15 Susheel Suresh , Vinith Budde , Jennifer Neville , Pan Li , Jianzhu Ma

Most of the current complex networks that are of interest to practitioners possess a certain community structure that plays an important role in understanding the properties of these networks. Moreover, many machine learning algorithms and…

Social and Information Networks · Computer Science 2021-02-17 Bogumił Kamiński , Paweł Prałat , François Théberge

Graph data are inherently complex and heterogeneous, leading to a high natural diversity of distributional shifts. However, it remains unclear how to build machine learning architectures that generalize to the complex distributional shifts…

Machine Learning · Computer Science 2024-10-29 Shirley Wu , Kaidi Cao , Bruno Ribeiro , James Zou , Jure Leskovec

The ability to discriminate between generative graph models is critical to understanding complex structural patterns in both synthetic graphs and the real-world structures that they emulate. While Graph Neural Networks (GNNs) have seen…

Machine Learning · Computer Science 2025-12-23 Janek Dyer , Jagdeep Ahluwalia , Javad Zarrin