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Multilook processing is a widely used speckle reduction approach in synthetic aperture radar (SAR) imaging. Conventionally, it is achieved by incoherently summing of some independent low-resolution images formulated from overlapping…

Information Theory · Computer Science 2013-10-29 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

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

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

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

Machine Learning · Statistics 2024-09-04 Zhong Zheng , Lingzhou Xue

Forward modeling of wave scattering and radar imaging mechanisms is the key to information extraction from synthetic aperture radar (SAR) images. Like inverse graphics in optical domain, an inherently-integrated forward-inverse approach…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Shilei Fu , Feng Xu

Synthetic Magnetic Resonance (MR) imaging predicts images at new design parameter settings from a few observed MR scans. Model-based methods, that use both the physical and statistical properties underlying the MR signal and its…

Applications · Statistics 2023-08-25 Subrata Pal , Somak Dutta , Ranjan Maitra

In this letter, we address sparse signal recovery using spike and slab priors. In particular, we focus on a Bayesian framework where sparsity is enforced on reconstruction coefficients via probabilistic priors. The optimization resulting…

Machine Learning · Statistics 2015-05-28 Hojjat S. Mousavi , Vishal Monga , Trac D. Tran

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

In this article, we address the issue of recovering latent transparent layers from superimposition images. Here, we assume we have the estimated transformations and extracted gradients of latent layers. To rapidly recover high-quality image…

Computer Vision and Pattern Recognition · Computer Science 2012-11-20 Han Li , Kun Gai , Pinghua Gong , Changshui Zhang

Restricted isometry property (RIP), essentially stating that the linear measurements are approximately norm-preserving, plays a crucial role in studying low-rank matrix recovery problem. However, RIP fails in the robust setting, when a…

Machine Learning · Computer Science 2021-09-29 Jianhao Ma , Salar Fattahi

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

This paper studies the problem of recovering a low-rank matrix from several noisy random linear measurements. We consider the setting where the rank of the ground-truth matrix is unknown a priori and use an objective function built from a…

Optimization and Control · Mathematics 2025-07-29 Lijun Ding , Zhen Qin , Liwei Jiang , Jinxin Zhou , Zhihui Zhu

The recent use of diffusion prior, enhanced by pre-trained text-image models, has markedly elevated the performance of image super-resolution (SR). To alleviate the huge computational cost required by pixel-based diffusion SR, latent-based…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Feng Luo , Jinxi Xiang , Jun Zhang , Xiao Han , Wei Yang

The task of reconstructing a low rank matrix from incomplete linear measurements arises in areas such as machine learning, quantum state tomography and in the phase retrieval problem. In this note, we study the particular setup that the…

Information Theory · Computer Science 2016-12-12 Holger Rauhut , Ulrich Terstiege

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

Image and Video Processing · Electrical Eng. & Systems 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

The Rayleigh regression model was recently proposed for modeling amplitude values of synthetic aperture radar (SAR) image pixels. However, inferences from such model are based on the maximum likelihood estimators, which can be biased for…

Methodology · Statistics 2022-08-09 B. G. Palm , F. M. Bayer , R. J. Cintra

The convergence rate is analyzed for the SpaSRA algorithm (Sparse Reconstruction by Separable Approximation) for minimizing a sum $f (\m{x}) + \psi (\m{x})$ where $f$ is smooth and $\psi$ is convex, but possibly nonsmooth. It is shown that…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Single-image super-resolution (SISR) networks trained with perceptual and adversarial losses provide high-contrast outputs compared to those of networks trained with distortion-oriented losses, such as L1 or L2. However, it has been shown…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Seung Ho Park , Young Su Moon , Nam Ik Cho

We consider the problem of synthetic aperture radar (SAR) imaging and motion estimation of complex scenes. By complex we mean scenes with multiple targets, stationary and in motion. We use the usual setup with one moving antenna emitting…

Information Theory · Computer Science 2015-03-20 Liliana Borcea , Thomas Callaghan , George Papanicolaou

In this paper, we propose a novel variational active contour model based on I-divergence-TV model to segment Synthetic aperture radar (SAR) images with multiplicative gamma noise, which hybrides edge-based model with region-based model. The…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Guangming Liu