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This paper proposes a compression framework for adjacency matrices of weighted graphs based on graph filter banks. Adjacency matrices are widely used mathematical representations of graphs and are used in various applications in signal…

Signal Processing · Electrical Eng. & Systems 2024-02-06 Kenta Yanagiya , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

In order to manage massive graphs in practice, it is often necessary to resort to graph compression, which aims at reducing the memory used when storing and processing the graph. Efficient compression methods have been proposed in the…

Social and Information Networks · Computer Science 2023-01-12 Maximilien Danisch , Ioannis Panagiotas , Lionel Tabourier

Lifting is an efficient technique to scale up graphical models generalized to relational domains by exploiting the underlying symmetries. Concurrently, neural models are continuously expanding from grid-like tensor data into structured…

Machine Learning · Computer Science 2021-01-19 Gustav Sourek , Filip Zelezny , Ondrej Kuzelka

Compression algorithms reduce the redundancy in data representation to decrease the storage required for that data. Data compression offers an attractive approach to reducing communication costs by using available bandwidth effectively.…

Information Theory · Computer Science 2007-07-13 B. S. Shajee Mohan , V. K. Govindan

Sampling of signals defined over the nodes of a graph is one of the crucial problems in graph signal processing. While in classical signal processing sampling is a well defined operation, when we consider a graph signal many new challenges…

Information Theory · Computer Science 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

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

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…

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

From social science to biology, numerous applications often rely on graphlets for intuitive and meaningful characterization of networks at both the global macro-level as well as the local micro-level. While graphlets have witnessed a…

Social and Information Networks · Computer Science 2016-02-17 Nesreen K. Ahmed , Jennifer Neville , Ryan A. Rossi , Nick Duffield , Theodore L. Willke

The rapid growth of digital data has heightened the demand for efficient lossless compression methods. However, existing algorithms exhibit trade-offs: some achieve high compression ratios, others excel in encoding or decoding speed, and…

Information Theory · Computer Science 2025-10-01 Md. Atiqur Rahman , MM Fazle Rabbi

The value of graph-based big data can be unlocked by exploring the topology and metrics of the networks they represent, and the computational approaches to this exploration take on many forms. The use-case of performing global computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Miguel E. Coimbra , Alexandre P. Francisco , Luís Veiga

Lossless image compression is an important technique for image storage and transmission when information loss is not allowed. With the fast development of deep learning techniques, deep neural networks have been used in this field to…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Honglei Zhang , Francesco Cricri , Hamed R. Tavakoli , Nannan Zou , Emre Aksu , Miska M. Hannuksela

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

Machine Learning · Computer Science 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

For various purposes and, in particular, in the context of data compression, a graph can be examined at three levels. Its structure can be described as the unlabeled version of the graph; then the labeling of its structure can be added; and…

Information Theory · Computer Science 2021-11-24 Ioannis Kontoyiannis , Yi Heng Lim , Katia Papakonstantinopoulou , Wojtek Szpankowski

Deep learning-based lossless compression methods offer substantial advantages in compressing medical volumetric images. Nevertheless, many learning-based algorithms encounter a trade-off between practicality and compression performance.…

Image and Video Processing · Electrical Eng. & Systems 2023-11-29 Qianhao Chen , Jietao Chen

Sampling is a widely used graph reduction technique to accelerate graph computations and simplify graph visualizations. By comprehensively analyzing the literature on graph sampling, we assume that existing algorithms cannot effectively…

Social and Information Networks · Computer Science 2020-09-17 Ying Zhao , Haojin Jiang , Qi'an Chen , Yaqi Qin , Huixuan Xie , Yitao Wu Shixia Liu , Zhiguang Zhou , Jiazhi Xia , Fangfang Zhou

Dimensionality reduction techniques map data represented on higher dimensions onto lower dimensions with varying degrees of information loss. Graph dimensionality reduction techniques adopt the same principle of providing latent…

Machine Learning · Computer Science 2022-11-11 Akhil Pandey Akella

Graph neural networks (GNNs) are deep learning models designed specifically for graph data, and they typically rely on node features as the input to the first layer. When applying such a type of network on the graph without node features,…