Graph signal processing: Overview, challenges, and applications

A Ortega, P Frossard, J Kovačević… - Proceedings of the …, 2018 - ieeexplore.ieee.org
Research in graph signal processing (GSP) aims to develop tools for processing data
defined on irregular graph domains. In this paper, we first provide an overview of core ideas …

Discrete signal processing on graphs: Sampling theory<? pub _newline=""?

S Chen, R Varma, A Sandryhaila… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
We propose a sampling theory for signals that are supported on either directed or undirected
graphs. The theory follows the same paradigm as classical sampling theory. We show that …

Learning Laplacian matrix in smooth graph signal representations

X Dong, D Thanou, P Frossard… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The construction of a meaningful graph plays a crucial role in the success of many graph-
based representations and algorithms for handling structured data, especially in the …

Learning graphs from data: A signal representation perspective

X Dong, D Thanou, M Rabbat… - IEEE Signal Processing …, 2019 - ieeexplore.ieee.org
The construction of a meaningful graph topology plays a crucial role in the effective
representation, processing, analysis, and visualization of structured data. When a natural …

Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

B Ricaud, P Borgnat… - Comptes …, 2019 - comptes-rendus.academie-sciences …
Dealing with data and observations has always been an important aspect of discovery in
science. The idea that science is related to data was brilliantly summarised by Fourier in his …

Graph-based compression of dynamic 3D point cloud sequences

D Thanou, PA Chou, P Frossard - IEEE Transactions on Image …, 2016 - ieeexplore.ieee.org
This paper addresses the problem of compression of 3D point cloud sequences that are
characterized by moving 3D positions and color attributes. As temporally successive point …

Graph filters for signal processing and machine learning on graphs

E Isufi, F Gama, DI Shuman… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Filters are fundamental in extracting information from data. For time series and image data
that reside on Euclidean domains, filters are the crux of many signal processing and …

Learning heat diffusion graphs

D Thanou, X Dong, D Kressner… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Information analysis of data often boils down to properly identifying their hidden structure. In
many cases, the data structure can be described by a graph representation that supports …

Signal Processing on Graphs: Causal Modeling of Unstructured Data

J Mei, JMF Moura - IEEE Transactions on Signal Processing, 2016 - ieeexplore.ieee.org
Many applications collect a large number of time series, for example, the financial data of
companies quoted in a stock exchange, the health care data of all patients that visit the …

Feature expansion for graph neural networks

J Sun, L Zhang, G Chen, P Xu… - … on Machine Learning, 2023 - proceedings.mlr.press
Graph neural networks aim to learn representations for graph-structured data and show
impressive performance in node classification. Recently, many methods have studied the …