Simultaneous Graph Learning and Blind Separation of Graph Signal Sources

被引:7
作者
Einizade, Aref [1 ]
Sardouie, Sepideh Hajipour [1 ]
Shamsollahi, Mohammad [1 ]
机构
[1] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran
关键词
Linear programming; Covariance matrices; Blind source separation; Correlation; Symmetric matrices; Optimization; Tools; graph signal processing (GSP); graph learning (GL); blind source separation (BSS); optimization; ALGORITHM;
D O I
10.1109/LSP.2021.3093872
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
When our sources are graph signals, a more efficient algorithm for Blind Source Separation (BSS) can be provided by using structural graph information along with statistical independence and/or non-Gaussianity. To the best of our knowledge, the GraphJADE and GraDe algorithms are the only BSS methods addressing this issue in the case of known underlying graphs. However, in many real-world applications, these graphs are not necessarily a priori known. In this paper, we propose a method called GraphJADE-GL (GraphJADE with Graph Learning) that jointly separates the graph signal sources and learns the graphs related to them accurately, in an alternating style.
引用
收藏
页码:1495 / 1499
页数:5
相关论文
共 30 条
[1]  
Abadira K., 2005, MATRIX ALGEBRA
[2]  
Ablin Pierre, 2018, IEEE Transactions on Signal Processing, V66, P4040, DOI 10.1109/TSP.2018.2844203
[3]  
[Anonymous], 1983, AUGMENTED LAGRANGIAN, DOI DOI 10.1016/S0168-2024(08)70028-6
[4]   A blind source separation technique using second-order statistics [J].
Belouchrani, A ;
AbedMeraim, K ;
Cardoso, JF ;
Moulines, E .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (02) :434-444
[5]   Second-Order Source Separation Based on Prior Knowledge Realized in a Graph Model [J].
Bloechl, Florian ;
Kowarsch, Andreas ;
Theis, Fabian J. .
LATENT VARIABLE ANALYSIS AND SIGNAL SEPARATION, 2010, 6365 :434-441
[6]   Distributed optimization and statistical learning via the alternating direction method of multipliers [J].
Boyd S. ;
Parikh N. ;
Chu E. ;
Peleato B. ;
Eckstein J. .
Foundations and Trends in Machine Learning, 2010, 3 (01) :1-122
[7]   BLIND BEAMFORMING FOR NON-GAUSSIAN SIGNALS [J].
CARDOSO, JF ;
SOULOUMIAC, A .
IEE PROCEEDINGS-F RADAR AND SIGNAL PROCESSING, 1993, 140 (06) :362-370
[8]  
CLARKSON DB, 1988, J R STAT SOC C-APPL, V37, P317
[9]   Proximal Splitting Methods in Signal Processing [J].
Combettes, Patrick L. ;
Pesquet, Jean-Christophe .
FIXED-POINT ALGORITHMS FOR INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 49 :185-+
[10]   Learning Graphs From Data [J].
Dong, Xiaowen ;
Thanou, Dorina ;
Rabbat, Michael ;
Frossard, Pascal .
IEEE SIGNAL PROCESSING MAGAZINE, 2019, 36 (03) :44-63