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Modern radio telescopes, such as the Square Kilometre Array (SKA), will probe the radio sky over large fields-of-view, which results in large w-modulations of the sky image. This effect complicates the relationship between the measured…

Instrumentation and Methods for Astrophysics · Physics 2017-07-14 Arwa Dabbech , Laura Wolz , Luke Pratley , Jason D. McEwen , Yves Wiaux

Interferometric Synthetic Aperture Radar (InSAR) Imaging methods are usually based on algorithms of match-filtering type, without considering the scene's characteristic, which causes limited imaging quality. Besides, post-processing steps…

Signal Processing · Electrical Eng. & Systems 2022-10-07 Xu Zhan , Xiaoling Zhang , Shunjun Wei , Jun Shi

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

Information Theory · Computer Science 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

This paper introduces the Wide-band Asp-Clean (\texttt{WAsp}) algorithm, a novel scale-sensitive image reconstruction method tailored for wide-band imaging applications. This algorithm is particularly beneficial for thermal noise-limited…

Instrumentation and Methods for Astrophysics · Physics 2026-04-27 M. Hsieh , S. Bhatnagar , U. Rau

Wideband spectrum sensing detects the unused spectrum holes for dynamic spectrum access (DSA). Too high sampling rate is the main problem. Compressive sensing (CS) can reconstruct sparse signal with much fewer randomized samples than…

Information Theory · Computer Science 2012-04-16 Yipeng Liu , Qun Wan

In this paper we aim to tackle the problem of reconstructing a high-resolution image from a single low-resolution input image, known as single image super-resolution. In the literature, sparse representation has been used to address this…

Computer Vision and Pattern Recognition · Computer Science 2016-03-23 Mohammad Rostami , Zhou Wang

In this paper, we propose a novel nonconvex approach to robust principal component analysis for HSI denoising, which focuses on simultaneously developing more accurate approximations to both rank and column-wise sparsity for the low-rank…

Image and Video Processing · Electrical Eng. & Systems 2022-12-07 Chong Peng , Yang Liu , Yongyong Chen , Xinxin Wu , Andrew Cheng , Zhao Kang , Chenglizhao Chen , Qiang Cheng

In this paper, we propose LSRNA, a novel framework for higher-resolution (exceeding 1K) image generation using diffusion models by leveraging super-resolution directly in the latent space. Existing diffusion models struggle with scaling…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Jinho Jeong , Sangmin Han , Jinwoo Kim , Seon Joo Kim

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Aims: We address two issues for the adoption of convex optimization in radio interferometric imaging. First, a method for a fine resolution setup is proposed which scales naturally in terms of memory usage and reconstruction speed. Second,…

Instrumentation and Methods for Astrophysics · Physics 2025-01-22 Adrian Jarret , Sepand Kashani , Joan Rué-Queralt , Paul Hurley , Julien Fageot , Matthieu Simeoni

Group sparse representation (GSR) based method has led to great successes in various image recovery tasks, which can be converted into a low-rank matrix minimization problem. As a widely used surrogate function of low-rank, the nuclear norm…

Image and Video Processing · Electrical Eng. & Systems 2020-01-14 Yunyi Li , Li Liu , Yu Zhao , Xiefeng Cheng , Guan Gui

In remote sensing applications, such as disaster detection and response, real-time efficiency and model lightweighting are of critical importance. Consequently, existing remote sensing image super-resolution methods often face a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Yi Liu , Yi Wan , Xinyi Liu , Qiong Wu , Panwang Xia , Xuejun Huang , Yongjun Zhang

Subspace identification is a classical and very well studied problem in system identification. The problem was recently posed as a convex optimization problem via the nuclear norm relaxation. Inspired by robust PCA, we extend this framework…

Systems and Control · Computer Science 2013-12-10 Dorsa Sadigh , Henrik Ohlsson , S. Shankar Sastry , Sanjit A. Seshia

We introduce and compare new compression approaches to obtain regularized solutions of large linear systems which are commonly encountered in large scale inverse problems. We first describe how to approximate matrix vector operations with a…

Numerical Analysis · Mathematics 2016-08-12 Sergey Voronin , Dylan Mikesell , Guust Nolet

It is a challenging task to remove heavy and mixed types of noise from Hyperspectral images (HSIs). In this paper, we propose a novel nonconvex approach to RPCA for HSI denoising, which adopts the log-determinant rank approximation and a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Yang Liu , Qian Zhang , Yongyong Chen , Qiang Cheng , Chong Peng

The ability of capturing fine spectral discriminative information enables hyperspectral images (HSIs) to observe, detect and identify objects with subtle spectral discrepancy. However, the captured HSIs may not represent true distribution…

Image and Video Processing · Electrical Eng. & Systems 2022-05-19 Na Liu , Wei Li , Yinjian Wang , Rao Tao , Qian Du , Jocelyn Chanussot

Hyperspectral pansharpening is a process of merging a high-resolution panchromatic (PAN) image and a low-resolution hyperspectral (LRHS) image to create a single high-resolution hyperspectral (HRHS) image. Existing Bayesian-based HS…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Xiangyu Rui , Xiangyong Cao , Li Pang , Zeyu Zhu , Zongsheng Yue , Deyu Meng

Low-Rank Adaptation (LoRA) and its variants have delivered strong capability in Parameter-Efficient Transfer Learning (PETL) by minimizing trainable parameters and benefiting from reparameterization. However, their projection matrices…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Yue Zhu , Haiwen Diao , Shang Gao , Jiazuo Yu , Jiawen Zhu , Yunzhi Zhuge , Shuai Hao , Xu Jia , Lu Zhang , Ying Zhang , Huchuan Lu

In this paper, we study high-dimensional sparse Quadratic Discriminant Analysis (QDA) and aim to establish the optimal convergence rates for the classification error. Minimax lower bounds are established to demonstrate the necessity of…

Methodology · Statistics 2019-12-09 T. Tony Cai , Linjun Zhang

Limited by imaging systems, the reconstruction of Magnetic Resonance Imaging (MRI) images from partial measurement is essential to medical imaging research. Benefiting from the diverse and complementary information of multi-contrast MR…

Image and Video Processing · Electrical Eng. & Systems 2023-07-11 Jiamiao Zhang , Yichen Chi , Jun Lyu , Wenming Yang , Yapeng Tian