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Reduced rank regression (RRR) is a fundamental tool for modeling multiple responses through low-dimensional latent structures, offering both interpretability and strong predictive performance in high-dimensional settings. Classical RRR…

Methodology · Statistics 2026-01-01 The Tien Mai

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello

Most image super-resolution (SR) methods are developed on synthetic low-resolution (LR) and high-resolution (HR) image pairs that are constructed by a predetermined operation, e.g., bicubic downsampling. As existing methods typically learn…

Image and Video Processing · Electrical Eng. & Systems 2021-09-09 Sanghyun Son , Jaeha Kim , Wei-Sheng Lai , Ming-Husan Yang , Kyoung Mu Lee

Convolutional neural network (CNN)-based methods have achieved great success for single-image superresolution (SISR). However, most models attempt to improve reconstruction accuracy while increasing the requirement of number of model…

Image and Video Processing · Electrical Eng. & Systems 2020-08-05 Supratik Banerjee , Cagri Ozcinar , Aakanksha Rana , Aljosa Smolic , Michael Manzke

We consider synthetic aperture radar imaging of a region containing point-like targets. Measurements are the set of frequency responses to scattering by the targets taken over a collection of individual spatial locations along the flight…

Analysis of PDEs · Mathematics 2021-12-28 Arnold D. Kim , Chrysoula Tsogka

Synthetic aperture radar (SAR) is a tomographic sensor that measures 2D slices of the 3D spatial Fourier transform of the scene. In many operational scenarios, the measured set of 2D slices does not fill the 3D space in the Fourier domain,…

Signal Processing · Electrical Eng. & Systems 2026-02-20 Nithin Sugavanam , Emre Ertin

Deep neural networks have exhibited remarkable performance in image super-resolution (SR) tasks by learning a mapping from low-resolution (LR) images to high-resolution (HR) images. However, the SR problem is typically an ill-posed problem…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Yong Guo , Mingkui Tan , Zeshuai Deng , Jingdong Wang , Qi Chen , Jiezhang Cao , Yanwu Xu , Jian Chen

Random stepped frequency (RSF) radar, which transmits random-frequency pulses, can suppress the range ambiguity, improve convert detection, and possess excellent electronic counter-countermeasures (ECCM) ability [1]. In this paper, we apply…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

The presence of residual and dense neural networks which greatly promotes the development of image Super-Resolution(SR) have witnessed a lot of impressive results. Depending on our observation, although more layers and connections could…

Image and Video Processing · Electrical Eng. & Systems 2020-02-21 Yuan Ma , Kewen Liu , Hongxia Xiong , Panpan Fang , Xiaojun Li , Yalei Chen , Chaoyang Liu

Perceptual image super-resolution (SR) methods restore degraded images and produce sharp outputs. In practice, those outputs are usually recompressed for storage and transmission. Ignoring recompression is suboptimal as the downstream codec…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Mingwei He , Tongda Xu , Xingtong Ge , Ming Sun , Chao Zhou , Yan Wang

We address the problem of sparse recovery in an online setting, where random linear measurements of a sparse signal are revealed sequentially and the objective is to recover the underlying signal. We propose a reweighted least squares (RLS)…

Machine Learning · Computer Science 2017-06-30 Subhadip Mukherjee , Deepak R. , Huaijin Chen , Ashok Veeraraghavan , Chandra Sekhar Seelamantula

To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged since the early 1990s as powerful 3D imaging methods that…

Optimization and Control · Mathematics 2009-09-03 Lotfi Chaari , Jean-Christophe Pesquet , Philippe Ciuciu , Amel Benazza-Benyahia

We study synthetic aperture radar (SAR) imaging and motion estimation of complex scenes consisting of stationary and moving targets. We use the classic SAR setup with a single antenna emitting signals and receiving the echoes from the…

Numerical Analysis · Mathematics 2015-06-11 Liliana Borcea , Thomas Callaghan , George Papanicolaou

The segmentation of synthetic aperture radar (SAR) images is a longstanding yet challenging task, not only because of the presence of speckle, but also due to the variations of surface backscattering properties in the images. Tremendous…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Gui-Song Xia , Gang Liu , Wen Yang

We study the problem of estimating a low-rank positive semidefinite (PSD) matrix from a set of rank-one measurements using sensing vectors composed of i.i.d. standard Gaussian entries, which are possibly corrupted by arbitrary outliers.…

Information Theory · Computer Science 2016-12-21 Yuanxin Li , Yue Sun , Yuejie Chi

Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific model discovery, including compressed sensing applications,…

Machine Learning · Statistics 2018-11-09 Peng Zheng , Travis Askham , Steven L. Brunton , J. Nathan Kutz , Aleksandr Y. Aravkin

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

We develop mask iterative hard thresholding algorithms (mask IHT and mask DORE) for sparse image reconstruction of objects with known contour. The measurements follow a noisy underdetermined linear model common in the compressive sampling…

Machine Learning · Statistics 2011-12-05 Aleksandar Dogandzic , Renliang Gu , Kun Qiu

Synthetic aperture radar (SAR) is a day or night any-weather imaging modality that is an important tool in remote sensing. Most existing SAR image formation methods result in a maximum a posteriori image which approximates the reflectivity…

Applications · Statistics 2020-07-14 Victor Churchill , Anne Gelb

A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

Applications · Statistics 2022-01-17 Hsien-Wei Chen