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In this paper, we propose a simple and effective {geometric} model fitting method to fit and segment multi-structure data even in the presence of severe outliers. We cast the task of geometric model fitting as a representative mode-seeking…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Hanzi Wang , Guobao Xiao , Yan Yan , David Suter

Graphs are the most ubiquitous form of structured data representation used in machine learning. They model, however, only pairwise relations between nodes and are not designed for encoding the higher-order relations found in many real-world…

Machine Learning · Computer Science 2020-10-12 Devanshu Arya , Deepak K. Gupta , Stevan Rudinac , Marcel Worring

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Hypergraphs provide a natural way of representing group relations, whose complexity motivates an extensive array of prior work to adopt some form of abstraction and simplification of higher-order interactions. However, the following…

Social and Information Networks · Computer Science 2020-05-14 Se-eun Yoon , Hyungseok Song , Kijung Shin , Yung Yi

Hypergraphs provide a fundamental framework for representing complex systems involving interactions among three or more entities. As empirical hypergraphs grow in size, characterizing their structural properties becomes increasingly…

Social and Information Networks · Computer Science 2025-06-04 Kazuki Nakajima , Masanao Kodakari , Masaki Aida

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

Hypergraphs, encoding structured interactions among any number of system units, have recently proven a successful tool to describe many real-world biological and social networks. Here we propose a framework based on statistical inference to…

Social and Information Networks · Computer Science 2022-12-01 Martina Contisciani , Federico Battiston , Caterina De Bacco

We study an issue commonly seen with graph data analysis: many real-world complex systems involving high-order interactions are best encoded by hypergraphs; however, their datasets often end up being published or studied only in the form of…

Social and Information Networks · Computer Science 2022-11-28 Yanbang Wang , Jon Kleinberg

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

Hypergraphs, a generalization of graphs, naturally represent groupwise relationships among multiple individuals or objects, which are common in many application areas, including web, bioinformatics, and social networks. The flexibility in…

Social and Information Networks · Computer Science 2021-04-21 Geon Lee , Minyoung Choe , Kijung Shin

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

The success of graph embeddings or node representation learning in a variety of downstream tasks, such as node classification, link prediction, and recommendation systems, has led to their popularity in recent years. Representation learning…

Machine Learning · Computer Science 2018-09-07 Saba A. Al-Sayouri , Danai Koutra , Evangelos E. Papalexakis , Sarah S. Lam

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

In order to efficiently study the characteristics of network domains and support development of network systems (e.g. algorithms, protocols that operate on networks), it is often necessary to sample a representative subgraph from a large…

Social and Information Networks · Computer Science 2012-06-22 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Many real-world graphs involve different types of nodes and relations between nodes, being heterogeneous by nature. The representation learning of heterogeneous graphs (HGs) embeds the rich structure and semantics of such graphs into a…

Machine Learning · Computer Science 2021-09-16 Costas Mavromatis , George Karypis

Representation learning on graphs has been gaining attention due to its wide applicability in predicting missing links, and classifying and recommending nodes. Most embedding methods aim to preserve certain properties of the original graph…

Social and Information Networks · Computer Science 2019-09-13 Palash Goyal , Di Huang , Sujit Rokka Chhetri , Arquimedes Canedo , Jaya Shree , Evan Patterson

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

This paper studies learning the representations of whole graphs in both unsupervised and semi-supervised scenarios. Graph-level representations are critical in a variety of real-world applications such as predicting the properties of…

Machine Learning · Computer Science 2020-01-20 Fan-Yun Sun , Jordan Hoffmann , Vikas Verma , Jian Tang
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