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Graph sparsification is a technique that approximates a given graph by a sparse graph with a subset of vertices and/or edges. The goal of an effective sparsification algorithm is to maintain specific graph properties relevant to the…

Databases · Computer Science 2023-11-22 Yuhan Chen , Haojie Ye , Sanketh Vedula , Alex Bronstein , Ronald Dreslinski , Trevor Mudge , Nishil Talati

The interconnectedness and interdependence of modern graphs are growing ever more complex, causing enormous resources for processing, storage, communication, and decision-making of these graphs. In this work, we focus on the task graph…

Machine Learning · Computer Science 2023-01-16 Ryan Wickman , Xiaofei Zhang , Weizi Li

Graph sparsification is a well-established technique for accelerating graph-based learning algorithms, which uses edge sampling to approximate dense graphs with sparse ones. Because the sparsification error is random and unknown, users must…

Machine Learning · Computer Science 2025-03-12 Siyao Wang , Miles E. Lopes

Many real-world datasets can be naturally represented as graphs, spanning a wide range of domains. However, the increasing complexity and size of graph datasets present significant challenges for analysis and computation. In response, graph…

Social and Information Networks · Computer Science 2024-07-02 Mohammad Hashemi , Shengbo Gong , Juntong Ni , Wenqi Fan , B. Aditya Prakash , Wei Jin

Uncertain graphs are prevalent in several applications including communications systems, biological databases and social networks. The ever increasing size of the underlying data renders both graph storage and query processing extremely…

Data Structures and Algorithms · Computer Science 2017-05-25 Panos Parchas , Nikolaos Papailiou , Dimitris Papadias , Francesco Bonchi

Computational efficiency is a major bottleneck in using classic graph-based approaches for semi-supervised learning on datasets with a large number of unlabeled examples. Known techniques to improve efficiency typically involve an…

Machine Learning · Computer Science 2023-06-13 Dravyansh Sharma , Maxwell Jones

This paper introduces a novel framework for graph sparsification that preserves the essential learning attributes of original graphs, improving computational efficiency and reducing complexity in learning algorithms. We refer to these…

Machine Learning · Computer Science 2025-02-26 Obaid Ullah Ahmad , Anwar Said , Mudassir Shabbir , Xenofon Koutsoukos , Waseem Abbas

Graph Neural Networks (GNNs) are widely used to perform different machine learning tasks on graphs. As the size of the graphs grows, and the GNNs get deeper, training and inference time become costly in addition to the memory requirement.…

Machine Learning · Computer Science 2022-08-09 Md. Khaledur Rahman , Ariful Azad

Spectral sparsification is a general technique developed by Spielman et al. to reduce the number of edges in a graph while retaining its structural properties. We investigate the use of spectral sparsification to produce good visual…

Computational Geometry · Computer Science 2017-08-31 Peter Eades , Quan Nguyen , Seok-Hee Hong

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

Machine Learning · Statistics 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

Learning expressive representations for high-dimensional yet sparse features has been a longstanding problem in information retrieval. Though recent deep learning methods can partially solve the problem, they often fail to handle the…

Information Retrieval · Computer Science 2023-05-30 Kaize Ding , Albert Jiongqian Liang , Bryan Perrozi , Ting Chen , Ruoxi Wang , Lichan Hong , Ed H. Chi , Huan Liu , Derek Zhiyuan Cheng

Hypergraph is a general way of representing high-order relations on a set of objects. It is a generalization of graph, in which only pairwise relations can be represented. It finds applications in various domains where relationships of more…

Machine Learning · Statistics 2021-05-19 Canh Hao Nguyen , Hiroshi Mamitsuka

Research on graph representation learning has received a lot of attention in recent years since many data in real-world applications come in form of graphs. High-dimensional graph data are often in irregular form, which makes them more…

Machine Learning · Computer Science 2020-06-03 Fenxiao Chen , Yuncheng Wang , Bin Wang , C. -C. Jay Kuo

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

Social and Information Networks · Computer Science 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

Graphs arising in statistical problems, signal processing, large networks, combinatorial optimization, and data analysis are often dense, which causes both computational and storage bottlenecks. One way of \textit{sparsifying} a…

Numerical Analysis · Mathematics 2023-04-27 Neophytos Charalambides , Alfred O. Hero

Learned sparse document representations using a transformer-based neural model has been found to be attractive in both relevance effectiveness and time efficiency. This paper describes a representation sparsification scheme based on hard…

Information Retrieval · Computer Science 2023-06-21 Yifan Qiao , Yingrui Yang , Shanxiu He , Tao Yang

Heterogeneous graphs (HGs) also known as heterogeneous information networks have become ubiquitous in real-world scenarios; therefore, HG embedding, which aims to learn representations in a lower-dimension space while preserving the…

Social and Information Networks · Computer Science 2020-12-02 Xiao Wang , Deyu Bo , Chuan Shi , Shaohua Fan , Yanfang Ye , Philip S. Yu

A \emph{sparsification} of a given graph $G$ is a sparser graph (typically a subgraph) which aims to approximate or preserve some property of $G$. Examples of sparsifications include but are not limited to spanning trees, Steiner trees,…

Data Structures and Algorithms · Computer Science 2023-01-31 Reyan Ahmed , Keaton Hamm , Stephen Kobourov , Mohammad Javad Latifi Jebelli , Faryad Darabi Sahneh , Richard Spence

Graph representation learning aims to effectively encode high-dimensional sparse graph-structured data into low-dimensional dense vectors, which is a fundamental task that has been widely studied in a range of fields, including machine…

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