The optimally designed autoencoder network for compressed sensing

Abstract Compressed sensing (CS) is a signal processing framework, which reconstructs a signal from a small set of random measurements obtained by measurement matrices. Due to the strong randomness of measurement matrices, the reconstruction performance is unstable. Additionally, current reconstruct...

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Main Authors: Zufan Zhang, Yunfeng Wu, Chenquan Gan, Qingyi Zhu
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:EURASIP Journal on Image and Video Processing
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13640-019-0460-5
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author Zufan Zhang
Yunfeng Wu
Chenquan Gan
Qingyi Zhu
author_facet Zufan Zhang
Yunfeng Wu
Chenquan Gan
Qingyi Zhu
author_sort Zufan Zhang
collection DOAJ
description Abstract Compressed sensing (CS) is a signal processing framework, which reconstructs a signal from a small set of random measurements obtained by measurement matrices. Due to the strong randomness of measurement matrices, the reconstruction performance is unstable. Additionally, current reconstruction algorithms are relatively independent of the compressed sampling process and have high time complexity. To this end, a deep learning based stacked sparse denoising autoencoder compressed sensing (SSDAE_CS) model, which mainly consists of an encoder sub-network and a decoder sub-network, is proposed and analyzed in this paper. Instead of traditional linear measurements, a multiple nonlinear measurements encoder sub-network is trained to obtain measurements. Meanwhile, a trained decoder sub-network solves the CS recovery problem by learning the structure features within the training data. Specifically, the two sub-networks are integrated into SSDAE_CS model through end-to-end training for strengthening the connection between the two processes, and their parameters are jointly trained to improve the overall performance of CS. Finally, experimental results demonstrate that the proposed method significantly outperforms state-of-the-art methods in terms of reconstruction performance, time cost, and denoising ability. Most importantly, the proposed model shows excellent reconstruction performance in the case of a few measurements.
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spelling doaj.art-8a403d77e24e4e6189172e0d05faf8f32022-12-22T03:05:19ZengSpringerOpenEURASIP Journal on Image and Video Processing1687-52812019-04-012019111210.1186/s13640-019-0460-5The optimally designed autoencoder network for compressed sensingZufan Zhang0Yunfeng Wu1Chenquan Gan2Qingyi Zhu3School of Communication and Information Engineering, Chongqing University of Posts and TelecommunicationsSchool of Communication and Information Engineering, Chongqing University of Posts and TelecommunicationsSchool of Communication and Information Engineering, Chongqing University of Posts and TelecommunicationsSchool of cyber security and information law, Chongqing University of Posts and TelecommunicationsAbstract Compressed sensing (CS) is a signal processing framework, which reconstructs a signal from a small set of random measurements obtained by measurement matrices. Due to the strong randomness of measurement matrices, the reconstruction performance is unstable. Additionally, current reconstruction algorithms are relatively independent of the compressed sampling process and have high time complexity. To this end, a deep learning based stacked sparse denoising autoencoder compressed sensing (SSDAE_CS) model, which mainly consists of an encoder sub-network and a decoder sub-network, is proposed and analyzed in this paper. Instead of traditional linear measurements, a multiple nonlinear measurements encoder sub-network is trained to obtain measurements. Meanwhile, a trained decoder sub-network solves the CS recovery problem by learning the structure features within the training data. Specifically, the two sub-networks are integrated into SSDAE_CS model through end-to-end training for strengthening the connection between the two processes, and their parameters are jointly trained to improve the overall performance of CS. Finally, experimental results demonstrate that the proposed method significantly outperforms state-of-the-art methods in terms of reconstruction performance, time cost, and denoising ability. Most importantly, the proposed model shows excellent reconstruction performance in the case of a few measurements.http://link.springer.com/article/10.1186/s13640-019-0460-5Compressed sensingStacked sparse denoising autoencoderDeep learningMultiple nonlinear measurementSignal reconstruction
spellingShingle Zufan Zhang
Yunfeng Wu
Chenquan Gan
Qingyi Zhu
The optimally designed autoencoder network for compressed sensing
EURASIP Journal on Image and Video Processing
Compressed sensing
Stacked sparse denoising autoencoder
Deep learning
Multiple nonlinear measurement
Signal reconstruction
title The optimally designed autoencoder network for compressed sensing
title_full The optimally designed autoencoder network for compressed sensing
title_fullStr The optimally designed autoencoder network for compressed sensing
title_full_unstemmed The optimally designed autoencoder network for compressed sensing
title_short The optimally designed autoencoder network for compressed sensing
title_sort optimally designed autoencoder network for compressed sensing
topic Compressed sensing
Stacked sparse denoising autoencoder
Deep learning
Multiple nonlinear measurement
Signal reconstruction
url http://link.springer.com/article/10.1186/s13640-019-0460-5
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