4.6k citations · 6.6k across the 56 of their papers we have counts for
60 papers
Signal Variation Metrics and Graph Fourier Transforms for Directed Graphs
Laura Shimabukuro, Antonio Ortega
In this paper we consider the problem of constructing graph Fourier transforms (GFTs) for directed graphs (digraphs), with a focus on developing multiple GFT designs that can captu…
Graph Signal Processing: History, Development, Impact, and Outlook
Geert Leus, Antonio G. Marques, José M. F. Moura +2
Graph signal processing (GSP) generalizes signal processing (SP) tasks to signals living on non-Euclidean domains whose structure can be captured by a weighted graph. Graphs are ve…
Towards bandwidth estimation for graph signal reconstruction
Ajinkya Jayawant, Antonio Ortega
In numerous graph signal processing applications, data is often missing for a variety of reasons, and predicting the missing data is essential. In this paper, we consider data on g…
Orthogonal Transforms for Signals on Directed Graphs
Julia Barrufet, Antonio Ortega
In this paper we consider the problem of defining transforms for signals on directed graphs, with a specific focus on defective graphs where the corresponding graph operator cannot…
Learning Sparse Graph with Minimax Concave Penalty under Gaussian Markov Random Fields
Tatsuya Koyakumaru, Masahiro Yukawa, Eduardo Pavez +1
This paper presents a convex-analytic framework to learn sparse graphs from data. While our problem formulation is inspired by an extension of the graphical lasso using the so-call…
Graph Signal Processing over a Probability Space of Shift Operators
Feng Ji, Wee Peng Tay, Antonio Ortega
Graph signal processing (GSP) uses a shift operator to define a Fourier basis for the set of graph signals. The shift operator is often chosen to capture the graph topology. Howeve…