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Subgraph listing is a fundamental problem in graph theory and has wide applications in areas like sociology, chemistry, and social networks. Modern graphs can usually be large-scale as well as highly dynamic, which challenges the efficiency…

Databases · Computer Science 2020-09-01 Xun Jian , Yue Wang , Xiayu Lei , Yanyan Shen , Lei Chen

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

Machine Learning · Statistics 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

In the last decade the broad scope of complex networks has led to a rapid progress. In this area a particular interest has the study of community structures. The analysis of this type of structure requires the formalization of the intuitive…

Information Retrieval · Computer Science 2009-12-07 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

This paper addresses matrix approximation problems for matrices that are large, sparse and/or that are representations of large graphs. To tackle these problems, we consider algorithms that are based primarily on coarsening techniques,…

Numerical Analysis · Computer Science 2018-10-03 Shashanka Ubaru , Yousef Saad

Subgraph matching has garnered increasing attention for its diverse real-world applications. Given the dynamic nature of real-world graphs, addressing evolving scenarios without incurring prohibitive overheads has been a focus of research.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Linshan Qiu , Lu Chen , Hailiang Jie , Xiangyu Ke , Yunjun Gao , Yang Liu , Zetao Zhang

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

Machine Learning · Computer Science 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

Constructing a similarity graph from a set $X$ of data points in $\mathbb{R}^d$ is the first step of many modern clustering algorithms. However, typical constructions of a similarity graph have high time complexity, and a quadratic space…

Data Structures and Algorithms · Computer Science 2023-10-24 Peter Macgregor , He Sun

For approximate nearest neighbor search, graph-based algorithms have shown to offer the best trade-off between accuracy and search time. We propose the Dynamic Exploration Graph (DEG) which significantly outperforms existing algorithms in…

Information Retrieval · Computer Science 2023-07-25 Nico Hezel , Kai Uwe Barthel , Konstantin Schall , Klaus Jung

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

We show an improved parallel algorithm for decomposing an undirected unweighted graph into small diameter pieces with a small fraction of the edges in between. These decompositions form critical subroutines in a number of graph algorithms.…

Data Structures and Algorithms · Computer Science 2013-07-16 Gary L. Miller , Richard Peng , Shen Chen Xu

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…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

In this paper, we consider sparse networks consisting of a finite number of non-overlapping communities, i.e. disjoint clusters, so that there is higher density within clusters than across clusters. Both the intra- and inter-cluster edge…

Social and Information Networks · Computer Science 2014-11-06 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

We present a novel methodology that combines graph and dense segmentation techniques by jointly learning both point and pixel contour representations, thereby leveraging the benefits of each approach. This addresses deficiencies in typical…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Kit Mills Bransby , Greg Slabaugh , Christos Bourantas , Qianni Zhang

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

Triangle counting is a fundamental graph analytic operation that is used extensively in network science and graph mining. As the size of the graphs that needs to be analyzed continues to grow, there is a requirement in developing scalable…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-24 Ancy Sarah Tom , George Karypis

A fundamental question that shrouds the emergence of massively parallel computing (MPC) platforms is how can the additional power of the MPC paradigm be leveraged to achieve faster algorithms compared to classical parallel models such as…

Data Structures and Algorithms · Computer Science 2018-05-09 Sepehr Assadi , Xiaorui Sun , Omri Weinstein

In many applications concerning statistical graphical models the data originate from several subpopulations that share similarities but have also significant differences. This raises the question of how to estimate several graphical models…

Methodology · Statistics 2022-06-17 Ilias Moysidis , Bing Li
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