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The Recently proposed Vector Approximate Message Passing (VAMP) algorithm demonstrates a great reconstruction potential at solving compressed sensing related linear inverse problems. VAMP provides high per-iteration improvement, can utilize…

Information Theory · Computer Science 2024-10-30 Nikolajs Skuratovs , Michael Davies

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

Machine Learning · Statistics 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Compressive sampling has great potential for making wideband spectrum sensing possible at sub-Nyquist sampling rates. As a result, there have recently been research efforts that leverage compressive sampling to enable efficient wideband…

Information Theory · Computer Science 2017-07-21 Bassem Khalfi , Bechir Hamdaoui , Mohsen Guizani , Nizar Zorba

Cost-efficient compressive sensing of big media data with fast reconstructed high-quality results is very challenging. In this paper, we propose a new large-scale image compressive sensing method, composed of operator-based strategy in the…

Multimedia · Computer Science 2015-05-21 Wei-Jie Liang , Gang-Xuan Lin , Chun-Shien Lu

Compressive sensing (CS) works to acquire measurements at sub-Nyquist rate and recover the scene images. Existing CS methods always recover the scene images in pixel level. This causes the smoothness of recovered images and lack of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Jiang Du , Xuemei Xie , Chenye Wang , Guangming Shi

Recent work has shown that learned image compression strategies can outperform standard hand-crafted compression algorithms that have been developed over decades of intensive research on the rate-distortion trade-off. With growing…

Image and Video Processing · Electrical Eng. & Systems 2021-11-04 Felipe Codevilla , Jean Gabriel Simard , Ross Goroshin , Chris Pal

We consider the compressive sensing of a sparse or compressible signal ${\bf x} \in {\mathbb R}^M$. We explicitly construct a class of measurement matrices, referred to as the low density frames, and develop decoding algorithms that produce…

Information Theory · Computer Science 2009-03-05 Mehmet Akçakaya , Jinsoo Park , Vahid Tarokh

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

Information Theory · Computer Science 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Separable multi-block convex optimization problem appears in many mathematical and engineering fields. In the first part of this paper, we propose an inertial proximal ADMM to solve a linearly constrained separable multi-block convex…

Numerical Analysis · Mathematics 2020-12-29 Peng Li , Wengu Chen , Qiyu Sun

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

There has been a growing interest in wideband spectrum sensing due to its applications in cognitive radios and electronic surveillance. To overcome the sampling rate bottleneck for wideband spectrum sensing, in this paper, we study the…

Information Theory · Computer Science 2019-10-17 Linxiao Yang , Jun Fang , Huiping Duan , Hongbin Li

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

Machine Learning · Computer Science 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Recovering the support of sparse vectors in underdetermined linear regression models, \textit{aka}, compressive sensing is important in many signal processing applications. High SNR consistency (HSC), i.e., the ability of a support recovery…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Sreejith Kallummil , Sheetal Kalyani

Compressive sensing (CS) technologies present many advantages over other existing approaches for implementing wideband spectrum sensing in cognitive radios (CRs), such as reduced sampling rate and computational complexity. However, there…

Information Theory · Computer Science 2016-07-15 Jing Jiang , Hongjian Sun , David Baglee , H. Vincent Poor

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

We introduce an efficient method for the reconstruction of the correlation between a compressively measured image and a phase-only filter. The proposed method is based on two properties of phase-only filtering: such filtering is a unitary…

Computer Vision and Pattern Recognition · Computer Science 2016-09-30 David Pastor-Calle , Anna Pastuszczak , Michal Mikolajczyk , Rafal Kotynski

We consider the problem of compressed sensing and of (real-valued) phase retrieval with random measurement matrix. We derive sharp asymptotics for the information-theoretically optimal performance and for the best known polynomial algorithm…

Statistics Theory · Mathematics 2020-09-04 Benjamin Aubin , Bruno Loureiro , Antoine Baker , Florent Krzakala , Lenka Zdeborová

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

Information Theory · Computer Science 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques

Modern computer vision requires processing large amounts of data, both while training the model and/or during inference, once the model is deployed. Scenarios where images are captured and processed in physically separated locations are…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Sudeep Katakol , Basem Elbarashy , Luis Herranz , Joost van de Weijer , Antonio M. Lopez

Hyperspectral compressive imaging takes advantage of compressive sensing theory to achieve coded aperture snapshot measurement without temporal scanning, and the entire three-dimensional spatial-spectral data is captured by a…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Yubao Sun , Ying Yang , Qingshan Liu , Mohan Kankanhalli