Title
Accelerated Matrix Inversion Approximation-Based Graph Signal Reconstruction
Abstract
Graph signal processing (GSP) is an emerging field which studies signals lived on graphs, like collected signals in a sensor network. One important research point in this area is graph signal reconstruction, i.e., recovering the original graph signal from its partial collections. Matrix inverse approximation (MIA)-based reconstruction has been proven more robust to large noise than the conventional least square recovery. However, this strategy requires the K-th eigenvalue of Laplacian operator L. In this paper, we propose an efficient strategy for approximating the K-th eigenvalue in this GSP filed. After that, the MIA reconstruction method is modified by this proposed substitution, and thereby accelerated. Consequently, we apply this modified strategy into artificial graph signal recovery and real-world semi-supervised learning field. Experimental results demonstrate that the proposed strategy outperforms some existed graph reconstruction methods and is comparable to the MIA reconstruction with lower numerical complexity.
Year
DOI
Venue
2018
10.1007/978-3-030-06161-6_61
COMMUNICATIONS AND NETWORKING, CHINACOM 2018
Keywords
Field
DocType
Graph signal processing, Graph reconstruction, Semi-supervised learning
Least squares,Graph,Matrix (mathematics),Computer science,Inversion (meteorology),Algorithm,Real-time computing,Wireless sensor network,Signal reconstruction,Eigenvalues and eigenvectors,Laplace operator
Conference
Volume
ISSN
Citations 
262
1867-8211
0
PageRank 
References 
Authors
0.34
13
3
Name
Order
Citations
PageRank
Qian Dang100.34
Yongchao Wang2296.54
Fen Wang3107.29