Title
Neural Networks for Compressed Sensing Based on Information Geometry
Abstract
Neural networks that are embedded with prior knowledge of the distribution of the original signal in applications of compressed sensing have attracted increasing attention. However, the maximal probability of the desired output by a neural network cannot guarantee that the statistical distribution of the recovered signal is consistent with the statistical distribution of the original signal. In this paper, we combine neural networks with information geometry to study the recovery of sparse signals that satisfy a certain distribution. We construct the geodesic distance between the distribution of the original signal and distribution of the recovered signal as the input for the neural network. Experiments show that the proposed method has a better reconstruction quality compared with existing algorithms.
Year
DOI
Venue
2019
10.1007/s00034-018-0869-6
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Sparse recovery,Information geometry,Geodesic distance,Neural network
Information geometry,Mathematical optimization,Algorithm,Artificial neural network,Compressed sensing,Mathematics,Geodesic
Journal
Volume
Issue
ISSN
38
2
1531-5878
Citations 
PageRank 
References 
1
0.36
28
Authors
5
Name
Order
Citations
PageRank
Meng Wang120.70
Chuangbai Xiao24016.05
Zhen-Hu Ning375.51
Tong Li414830.10
Bei Gong510.36