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X-ray Computed Tomography (CT) reconstruction from a sparse number of views is a useful way to reduce either the radiation dose or the acquisition time, for example in fixed-gantry CT systems, however this results in an ill-posed inverse…

Data Structures and Algorithms · Computer Science 2020-11-04 Alessandro Perelli , Michael Lexa , Ali Can , Mike E. Davies

A denoising algorithm seeks to remove noise, errors, or perturbations from a signal. Extensive research has been devoted to this arena over the last several decades, and as a result, today's denoisers can effectively remove large amounts of…

Information Theory · Computer Science 2016-04-19 Christopher A. Metzler , Arian Maleki , Richard G. Baraniuk

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

We consider compressive imaging problems, where images are reconstructed from a reduced number of linear measurements. Our objective is to improve over existing compressive imaging algorithms in terms of both reconstruction error and…

Information Theory · Computer Science 2015-06-19 Jin Tan , Yanting Ma , Dror Baron

In this paper, an efficient distributed approach for implementing the approximate message passing (AMP) algorithm, named distributed AMP (DAMP), is developed for compressed sensing (CS) recovery in sensor networks with the sparsity K…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-26 Puxiao Han , Ruixin Niu , Mengqi Ren

Most compressive sensing (CS) reconstruction methods can be divided into two categories, i.e. model-based methods and classical deep network methods. By unfolding the iterative optimization algorithm for model-based methods onto networks,…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Zhonghao Zhang , Yipeng Liu , Jiani Liu , Fei Wen , Ce Zhu

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

This paper proposes two novel schemes of wideband compressive spectrum sensing (CSS) via block orthogonal matching pursuit (BOMP) algorithm, for achieving high sensing accuracy in real time. These schemes aim to reliably recover the…

Signal Processing · Electrical Eng. & Systems 2023-04-14 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR),…

Information Theory · Computer Science 2016-01-21 Xing Wang , Jie Liang

Compressed sensing (CS) is a challenging problem in image processing due to reconstructing an almost complete image from a limited measurement. To achieve fast and accurate CS reconstruction, we synthesize the advantages of two well-known…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Nanyu Li , Charles C. Zhou

This paper proposes a fast approximate message-passing (AMP) algorithm for solving compressed sensing (CS) recovery problems with 1D-finite-difference sparsity in term of MMSE estimation. The proposed algorithm, named ssAMP-BGFD, is…

Information Theory · Computer Science 2015-09-07 Jaewook Kang , Hyoyoung Jung , Heung-No Lee , Kiseon Kim

In compressed sensing (CS), sparse signals can be reconstructed from significantly fewer samples than required by the Nyquist-Shannon sampling theorem. While non-sparse signals can be sparsely represented in appropriate transformation…

Information Theory · Computer Science 2026-03-13 Qi Qi , Abdelhamid Tayebi , Daizhan Cheng , Jun-e Feng

Compressive image recovery is a challenging problem that requires fast and accurate algorithms. Recently, neural networks have been applied to this problem with promising results. By exploiting massively parallel GPU processing…

Machine Learning · Statistics 2017-11-08 Christopher A. Metzler , Ali Mousavi , Richard G. Baraniuk

Approximate message passing (AMP) is an efficient iterative signal recovery algorithm for compressed sensing (CS). For sensing matrices with independent and identically distributed (i.i.d.) Gaussian entries, the behavior of AMP can be…

Information Theory · Computer Science 2016-10-20 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

This article seeks to advance coded compressed sensing (CCS) as a practical scheme for unsourced random access. The original CCS algorithm features a concatenated structure where an inner code is tasked with support recovery, and an outer…

Information Theory · Computer Science 2020-10-23 Jamison R. Ebert , Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Low-complexity Bayes-optimal memory approximate message passing (MAMP) is an efficient signal estimation algorithm in compressed sensing and multicarrier modulation. However, achieving replica Bayes optimality with MAMP necessitates a…

Information Theory · Computer Science 2024-07-19 Lei Liu , Ming Wang , Shufeng Li , Yuhao Chi , Ning Wei , ZhaoYang Zhang

We propose a new technique for adaptive identification of sparse systems based on the compressed sensing (CS) theory. We manipulate the transmitted pilot (input signal) and the received signal such that the weights of adaptive filter…

Information Theory · Computer Science 2012-04-05 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

Although block compressive sensing (BCS) makes it tractable to sense large-sized images and video, its recovery performance has yet to be significantly improved because its recovered images or video usually suffer from blurred edges, loss…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Trinh Van Chien , Khanh Quoc Dinh , Byeungwoo Jeon , Martin Burger

Compressed sensing is a powerful tool in applications such as magnetic resonance imaging (MRI). It enables accurate recovery of images from highly undersampled measurements by exploiting the sparsity of the images or image patches in a…

Machine Learning · Statistics 2016-10-04 Saiprasad Ravishankar , Yoram Bresler
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