Graph learning from data under Laplacian and structural constraints

HE Egilmez, E Pavez, A Ortega - IEEE Journal of Selected …, 2017 - ieeexplore.ieee.org
Graphs are fundamental mathematical structures used in various fields to represent data,
signals, and processes. In this paper, we propose a novel framework for learning/estimating …

Graph spectral image processing

G Cheung, E Magli, Y Tanaka… - Proceedings of the IEEE, 2018 - ieeexplore.ieee.org
Recent advent of graph signal processing (GSP) has spurred intensive studies of signals
that live naturally on irregular data kernels described by graphs (eg, social networks …

Graph-based static 3D point clouds geometry coding

P de Oliveira Rente, C Brites… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Recently, 3D visual representation models such as light fields and point clouds are
becoming popular due to their capability to represent the real world in a more complete and …

Generalized Laplacian precision matrix estimation for graph signal processing

E Pavez, A Ortega - 2016 IEEE International Conference on …, 2016 - ieeexplore.ieee.org
Graph signal processing models high dimensional data as functions on the vertices of a
graph. This theory is constructed upon the interpretation of the eigenvectors of the Laplacian …

Graph learning from filtered signals: Graph system and diffusion kernel identification

HE Egilmez, E Pavez, A Ortega - IEEE Transactions on Signal …, 2018 - ieeexplore.ieee.org
This paper introduces a novel graph signal processing framework for building graph-based
models from classes of filtered signals. In our framework, graph-based modeling is …

Learning graphs with monotone topology properties and multiple connected components

E Pavez, HE Egilmez, A Ortega - IEEE Transactions on Signal …, 2018 - ieeexplore.ieee.org
Recent papers have formulated the problem of learning graphs from data as an inverse
covariance estimation problem with graph Laplacian constraints. While such problems are …

Graph-based transforms for video coding

HE Egilmez, YH Chao, A Ortega - IEEE Transactions on Image …, 2020 - ieeexplore.ieee.org
In many state-of-the-art compression systems, signal transformation is an integral part of the
encoding and decoding process, where transforms provide compact representations for the …

Sparse-group lasso for graph learning from multi-attribute data

JK Tugnait - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
We consider the problem of inferring the conditional independence graph (CIG) of high-
dimensional Gaussian vectors from multi-attribute data. Most existing methods for graph …

Steerable discrete cosine transform

G Fracastoro, SM Fosson… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In image compression, classical block-based separable transforms tend to be inefficient
when image blocks contain arbitrarily shaped discontinuities. For this reason, transforms …

Graph transform optimization with application to image compression

G Fracastoro, D Thanou… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we propose a new graph-based transform and illustrate its potential
application to signal compression. Our approach relies on the careful design of a graph that …