arrow
返回

An outlier-robust smoothness-based graph learning approach

delete2023-05-01
delete3
PRE
AI
H
Hesam Araghi
M
Massoud Babaie‐Zadeh *
DOI:10.1016/j.sigpro.2023.108927delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
Graph learning (GL) is a tool for finding direct relationships between the nodes of a network, and hence, inferring the graph topology from the data. Recently, many GL algorithms have been proposed in the field of graph signal processing, which are based on smoothness of the graph signals on the learned graph. However, although it is possible for the input graph signals to be contaminated by outliers, for example due to sensor failures or temporary faulty information records, existing techniques are very vul-nerable to outliers. So, the goal is to infer a graph topology to be, as much as possible, insensitive to this kind of data corruptions. To this aim, due to the sparse nature of outlier data, we propose a new approach for robustifying GL algorithms by incorporating L1-norm or squared L1-norm terms into the objective function of smoothness based GL methods, yielding to a non-convex minimization problem. A novel iterative minimization method is introduced to solve the resulting non-convex problem. Moreover, the convergence of the algorithm is established despite of its non-convex nature. In simulations, the high performance of the proposed algorithm is demonstrated in presence of a considerably large amount of outliers.(c) 2023 Elsevier B.V. All rights reserved.
Keyword:
Graph signal processing
Graph learning
Outlier compensation
Block coordinate descent
Convergence analysis

期刊

Signal Processing 封面图
Signal Processing
IF:
3.6
论文数:
9.9K
被引数:
1.7W

机构

S
Sharif University of Technology
学者数:
1.1W
论文数: 1.1W
被引数: 9.5K
引用论文

引用论文

Connecting the Dots
err2019-05-01
err246
errOAAI
errMateos, Gonzalo; Segarra, Santiago; Marques, Antonio G.; Ribeiro, Alejandro
err分享
err收藏
Playing with Duality
err2015-11-01
err260
errOAAI
errKomodakis, Nikos; Pesquet, Jean-Christophe
err分享
err收藏
Graph Signal Processing: Overview, Challenges, and Applications图信号处理: 概述、挑战与应用
err2018-05-01
err1.1K
errOAAI
errOrtega, Antonio; Frossard, Pascal; Kovacevic, Jelena; Moura, Jose M. F.; Vandergheynst, Pierre
err分享
err收藏
err分享
err收藏
An introduction to compressive sampling压缩采样简介
err2008-03-01
err8.6K
PREAI
errCandes, Emmanuel J.; Wakin, Michael B.
err分享
err收藏
学者 查看更多内容