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Graph learning from data under Laplacian and structural constraints
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 …
signals, and processes. In this paper, we propose a novel framework for learning/estimating …
Graph spectral image processing
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 …
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 …
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
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. This theory is constructed upon the interpretation of the eigenvectors of the Laplacian …
Graph learning from filtered signals: Graph system and diffusion kernel identification
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 …
models from classes of filtered signals. In our framework, graph-based modeling is …
Learning graphs with monotone topology properties and multiple connected components
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 …
covariance estimation problem with graph Laplacian constraints. While such problems are …
Graph-based transforms for video coding
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 …
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 …
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 …
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 …
application to signal compression. Our approach relies on the careful design of a graph that …