Nonparametric identification of Kronecker networks

被引:9
作者
Zorzi, Mattia [1 ]
机构
[1] Univ Padua, Dipartimento Ingn Informaz, Via Gradenigo 6-B, I-35131 Padua, Italy
关键词
Linear system identification; Sparsity inducing priors; Kernel-based methods; Gaussian processes; SYSTEM-IDENTIFICATION; REGULARIZATION; ESTIMATORS; SELECTION; MODELS; CONVEX; ERROR;
D O I
10.1016/j.automatica.2022.110518
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We address the problem to estimate a dynamic network whose edges describe Granger causality relations and whose topology has a Kronecker structure. Such a structure arises in many real networks and allows to understand the organization of complex networks. We propose a kernel-based PEM method to learn such networks. Numerical examples show the effectiveness of the proposed method. (C) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数:13
相关论文
共 52 条
[41]   Covariance Estimation in High Dimensions Via Kronecker Product Expansions [J].
Tsiligkaridis, Theodoros ;
Hero, Alfred O., III .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (21) :5347-5360
[42]   On Convergence of Kronecker Graphical Lasso Algorithms [J].
Tsiligkaridis, Theodoros ;
Hero, Alfred O., III ;
Zhou, Shuheng .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (07) :1743-1755
[43]  
Veedu M. S., 2020, TOPOLOGY LEARNING LI
[44]  
Yu K., 2009, ICML, P1185
[45]   A new kernel-based approach for spectral estimation [J].
Zorzi, Mattia .
2020 EUROPEAN CONTROL CONFERENCE (ECC 2020), 2020, :534-539
[46]   Autoregressive identification of Kronecker graphical models [J].
Zorzi, Mattia .
AUTOMATICA, 2020, 119
[47]   GRAPHICAL MODEL SELECTION FOR A PARTICULAR CLASS OF CONTINUOUS-TIME PROCESSES [J].
Zorzi, Mattia .
KYBERNETIKA, 2019, 55 (05) :782-801
[48]  
Zorzi M, 2018, IEEE DECIS CONTR P, P1427, DOI 10.1109/CDC.2018.8618983
[49]   The harmonic analysis of kernel functions [J].
Zorzi, Mattia ;
Chiuso, Alessandro .
AUTOMATICA, 2018, 94 :125-137
[50]   Sparse plus low rank network identification: A nonparametric approach [J].
Zorzi, Mattia ;
Chiuso, Alessandro .
AUTOMATICA, 2017, 76 :355-366