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 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 …

Learning Large-Scale MTP Gaussian Graphical Models via Bridge-Block Decomposition

X Wang, J Ying, D Palomar - Advances in Neural …, 2023 - proceedings.neurips.cc
This paper studies the problem of learning the large-scale Gaussian graphical models that
are multivariate totally positive of order two ($\text {MTP} _2 $). By introducing the concept of …

Graph learning from data under structural and Laplacian constraints

HE Egilmez, E Pavez, A Ortega - arxiv preprint arxiv:1611.05181, 2016 - arxiv.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 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 …

Machine learning for media compression: Challenges and opportunities

A Said - APSIPA Transactions on Signal and Information …, 2018 - cambridge.org
Machine learning (ML) has been producing major advances in several technological fields
and can have a significant impact on media coding. However, fast progress can only happen …

Pre-demosaic graph-based light field image compression

YH Chao, H Hong, G Cheung… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
An unfocused plenoptic light field (LF) camera places an array of microlenses in front of an
image sensor in order to separately capture different directional rays arriving at an image …