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This paper investigates the recovery of a node-domain sparse graph signal from the output of a graph filter. This problem, which is often referred to as the identification of the source of a diffused sparse graph signal, is seminal in the…

Signal Processing · Electrical Eng. & Systems 2024-11-08 Gal Morgenstern , Tirza Routtenberg

This paper considers the problem of interpolating signals defined on graphs. A major presumption considered by many previous approaches to this problem has been lowpass/ band-limitedness of the underlying graph signal. However, inspired by…

Information Theory · Computer Science 2017-05-09 Mahdi Boloursaz Mashhadi , Maryam Fallah , Farokh Marvasti

Graph Neural Networks (GNNs), known as spectral graph filters, find a wide range of applications in web networks. To bypass eigendecomposition, polynomial graph filters are proposed to approximate graph filters by leveraging various…

Machine Learning · Computer Science 2024-05-22 Keke Huang , Wencai Cao , Hoang Ta , Xiaokui Xiao , Pietro Liò

Electric, intelligent, and network are the most important future development directions of automobiles. Intelligent electric vehicles have shown great potentials to improve traffic mobility and reduce emissions, especially at unsignalized…

Optimization and Control · Mathematics 2021-04-12 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Biao Xu , Xiangbin Wu , Jianqiang Wang , Keqiang Li , Chunyu Qi

We investigate a scalable $M$-channel critically sampled filter bank for graph signals, where each of the $M$ filters is supported on a different subband of the graph Laplacian spectrum. For analysis, the graph signal is filtered on each…

Information Theory · Computer Science 2019-01-31 Shuni Li , Yan Jin , David I Shuman

In the past decade, several multi-resolution representation theories for graph signals have been proposed. Bipartite filter-banks stand out as the most natural extension of time domain filter-banks, in part because perfect reconstruction,…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Eduardo Pavez , Benjamin Girault , Antonio Ortega , Philip A. Chou

We propose the concept, synthesis, analysis, and design of graphene-based plasmonic tunable low-pass filters operating in the THz band. The proposed structure is composed of a graphene strip transferred onto a dielectric and a set of…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 D. Correas Serrano , J. S. Gomez Diaz , J. Perruisseau-Carrier , A. Alvarez Melcon

Graph-structured data jointly contain discrete topology and continuous geometry, which poses fundamental challenges for generative modeling due to heterogeneous distributions, incompatible noise dynamics, and the need for equivariant…

Machine Learning · Computer Science 2026-04-10 Rongjian Xu , Teng Pang , Zhiqiang Dong , Guoqiang Wu

The subgraph isomorphism finding problem is a well-studied problem in the field of computer science and graph theory, and it aims to enumerate all instances of a query graph in the respective data graph. In this paper, we propose an…

Databases · Computer Science 2023-12-07 Zubair Ali Ansari , Muhammad Abulaish , Irfan Rashid Thoker , Jahiruddin

Graph filters are a staple tool for processing signals over graphs in a multitude of downstream tasks. However, they are commonly designed for graphs with a fixed number of nodes, despite real-world networks typically grow over time. This…

Machine Learning · Computer Science 2024-09-12 Bishwadeep Das , Elvin Isufi

Graph Neural Networks (GNNs) exploit signals from node features and the input graph topology to improve node classification task performance. However, these models tend to perform poorly on heterophilic graphs, where connected nodes have…

Machine Learning · Computer Science 2021-12-08 Vijay Lingam , Chanakya Ekbote , Manan Sharma , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam

Graph embedding techniques have been increasingly deployed in a multitude of different applications that involve learning on non-Euclidean data. However, existing graph embedding models either fail to incorporate node attribute information…

Machine Learning · Computer Science 2021-06-22 Chenhui Deng , Zhiqiang Zhao , Yongyu Wang , Zhiru Zhang , Zhuo Feng

Superior performance and ease of implementation have fostered the adoption of Convolutional Neural Networks (CNNs) for a wide array of inference and reconstruction tasks. CNNs implement three basic blocks: convolution, pooling and pointwise…

Machine Learning · Computer Science 2018-03-07 Fernando Gama , Antonio G. Marques , Alejandro Ribeiro , Geert Leus

Recent studies showed that single-machine graph processing systems can be as highly competitive as cluster-based approaches on large-scale problems. While several out-of-core graph processing systems and computation models have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-19 Peng Sun , Yonggang Wen , Ta Nguyen Binh Duong , Xiaokui Xiao

We introduce graph normalizing flows: a new, reversible graph neural network model for prediction and generation. On supervised tasks, graph normalizing flows perform similarly to message passing neural networks, but at a significantly…

Machine Learning · Computer Science 2019-05-31 Jenny Liu , Aviral Kumar , Jimmy Ba , Jamie Kiros , Kevin Swersky

Graphs have been extensively used to represent data from various domains. In the era of Big Data, information is being generated at a fast pace, and analyzing the same is a challenge. Various methods have been proposed to speed up the…

Information Theory · Computer Science 2018-06-26 Rushabh Jitendrakumar Shah

Graphical data is comprised of a graph with marks on its edges and vertices. The mark indicates the value of some attribute associated to the respective edge or vertex. Examples of such data arise in social networks, molecular and systems…

Probability · Mathematics 2019-09-24 Payam Delgosha , Venkat Anantharam

Graph filtering is the cornerstone operation in graph signal processing (GSP). Thus, understanding it is key in developing potent GSP methods. Graph filters are local and distributed linear operations, whose output depends only on the local…

Signal Processing · Electrical Eng. & Systems 2022-12-21 T. Mitchell Roddenberry , Fernando Gama , Richard G. Baraniuk , Santiago Segarra

When approaching graph signal processing tasks, graphs are usually assumed to be perfectly known. However, in many practical applications, the observed (inferred) network is prone to perturbations which, if ignored, will hinder performance.…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Samuel Rey , Antonio G. Marques

Unsupervised graph-level representation learning plays a crucial role in a variety of tasks such as molecular property prediction and community analysis, especially when data annotation is expensive. Currently, most of the best-performing…

Machine Learning · Computer Science 2022-02-09 Thilini Cooray , Ngai-Man Cheung