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
来源：
AUTOMATICA | 2022年 / 145卷
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.
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页数：13
相关论文
共 52 条
[1]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[2]   Identification of Sparse Reciprocal Graphical Models [J].
Alpago, Daniele ;
Zorzi, Mattia ;
Ferrante, Augusto .
IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (04) :659-664
[3]  
[Anonymous], 1991, Cover and Thomas
[4]  
Aravkin A, 2014, J MACH LEARN RES, V15, P217
[5]   THEORY OF REPRODUCING KERNELS [J].
ARONSZAJN, N .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 68 (MAY) :337-404
[6]   ARMA Identification of Graphical Models [J].
Avventi, Enrico ;
Lindquist, Anders G. ;
Wahlberg, Bo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (05) :1167-1178
[7]   The spatiotemporal MEG covariance matrix modeled as a sum of Kronecker products [J].
Bijma, F ;
de Munck, JC ;
Heethaar, RM .
NEUROIMAGE, 2005, 27 (02) :402-415
[8]   A SCALED GRADIENT PROJECTION METHOD FOR BAYESIAN LEARNING IN DYNAMICAL SYSTEMS [J].
Bonettini, S. ;
Chiuso, A. ;
Prato, M. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (03) :A1297-A1318
[9]   System Identification Via Sparse Multiple Kernel-Based Regularization Using Sequential Convex Optimization Techniques [J].
Chen, Tianshi ;
Andersen, Martin S. ;
Ljung, Lennart ;
Chiuso, Alessandro ;
Pillonetto, Gianluigi .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) :2933-2945
[10]   Implementation of algorithms for tuning parameters in regularized least squares problems in system identification [J].
Chen, Tianshi ;
Ljung, Lennart .
AUTOMATICA, 2013, 49 (07) :2213-2220
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