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We consider the problem of embedding the nodes of a hypergraph into Euclidean space under the assumption that the interactions arose through closeness to unknown hyperedge centres. In this way, we tackle the inverse problem associated with…

Social and Information Networks · Computer Science 2025-09-11 Francesco Zigliotto , Desmond J. Higham

Graph embedding techniques have led to significant progress in recent years. However, present techniques are not effective enough to capture the patterns of networks. This paper propose neighbor2vec, a neighbor-based sampling strategy used…

Social and Information Networks · Computer Science 2022-01-11 Zhiming Lin

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

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

In recent years, Graph Convolutional Networks (GCNs) and their variants have been widely utilized in learning tasks that involve graphs. These tasks include recommendation systems, node classification, among many others. In node…

Machine Learning · Computer Science 2019-12-23 Mustafa Coskun , Burcu Bakir Gungor , Mehmet Koyuturk

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

We revisit the elegant observation of T. Cover '65 which, perhaps, is not as well-known to the broader community as it should be. The first goal of the tutorial is to explain---through the prism of this elementary result---how to solve…

Machine Learning · Computer Science 2016-09-01 Alexander Rakhlin , Karthik Sridharan

Graph convolutional networks have been successful in addressing graph-based tasks such as semi-supervised node classification. Existing methods use a network structure defined by the user based on experimentation with fixed number of layers…

Machine Learning · Computer Science 2021-01-21 Negar Heidari , Alexandros Iosifidis

Graph neural networks (GNNs) are the dominant approach to solving machine learning problems defined over graphs. Despite much theoretical and empirical work in recent years, our understanding of finer-grained aspects of architectural design…

Machine Learning · Computer Science 2024-10-15 Dhruv Rohatgi , Tanya Marwah , Zachary Chase Lipton , Jianfeng Lu , Ankur Moitra , Andrej Risteski

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

With the wide-spread availability of complex relational data, semi-supervised node classification in graphs has become a central machine learning problem. Graph neural networks are a recent class of easy-to-train and accurate methods for…

Machine Learning · Computer Science 2021-06-08 Junteng Jia , Cenk Baykal , Vamsi K. Potluru , Austin R. Benson

Graph node embedding aims at learning a vector representation for all nodes given a graph. It is a central problem in many machine learning tasks (e.g., node classification, recommendation, community detection). The key problem in graph…

Machine Learning · Computer Science 2019-10-01 Shupeng Gui , Xiangliang Zhang , Pan Zhong , Shuang Qiu , Mingrui Wu , Jieping Ye , Zhengdao Wang , Ji Liu

In recent years, the node classification task in graph neural networks(GNNs) has developed rapidly, driving the development of research in various fields. However, there are a large number of class imbalances in the graph data, and there is…

Machine Learning · Computer Science 2022-10-13 Min Liu , Siwen Jin , Luo Jin , Shuohan Wang , Yu Fang , Yuliang Shi

Subgraph isomorphism counting is an important problem on graphs, as many graph-based tasks exploit recurring subgraph patterns. Classical methods usually boil down to a backtracking framework that needs to navigate a huge search space with…

Machine Learning · Computer Science 2024-01-25 Xingtong Yu , Zemin Liu , Yuan Fang , Xinming Zhang

Real-world events exhibit a high degree of interdependence and connections, and hence data points generated also inherit the linkages. However, the majority of AI/ML techniques leave out the linkages among data points. The recent surge of…

Social and Information Networks · Computer Science 2020-06-17 Shrey Dabhi , Manojkumar Parmar

Many complex systems involve interactions between more than two agents. Hypergraphs capture these higher-order interactions through hyperedges that may link more than two nodes. We consider the problem of embedding a hypergraph into…

Social and Information Networks · Computer Science 2023-01-06 Xue Gong , Desmond J. Higham , Konstantinos Zygalakis

Most of the existing graph embedding methods focus on nodes, which aim to output a vector representation for each node in the graph such that two nodes being "close" on the graph are close too in the low-dimensional space. Despite the…

Social and Information Networks · Computer Science 2019-02-13 Vincent W. Zheng , Sandro Cavallari , Hongyun Cai , Kevin Chen-Chuan Chang , Erik Cambria

Graph neural networks (GNNs) extend convolutional neural networks (CNNs) to graph-based data. A question that arises is how much performance improvement does the underlying graph structure in the GNN provide over the CNN (that ignores this…

Machine Learning · Computer Science 2020-12-17 Lavender Yao Jiang , John Shi , Mark Cheung , Oren Wright , José M. F. Moura

Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes,…

Social and Information Networks · Computer Science 2022-02-24 Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Graph embedding is a transformation of nodes of a network into a set of vectors. A good embedding should capture the underlying graph topology and structure, node-to-node relationship, and other relevant information about the graph, its…

Social and Information Networks · Computer Science 2021-12-02 Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge