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In this paper, we reformulate the non-convex $\ell_q$-norm minimization problem with $q\in(0,1)$ into a 2-step problem, which consists of one convex and one non-convex subproblems, and propose a novel iterative algorithm called QISTA…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Gang-Xuan Lin , Shih-Wei Hu , Chun-Shien Lu

Deep learning has shown astonishing performance in accelerated magnetic resonance imaging (MRI). Most state-of-the-art deep learning reconstructions adopt the powerful convolutional neural network and perform 2D convolution since many…

Image and Video Processing · Electrical Eng. & Systems 2021-12-10 Zi Wang , Chen Qian , Di Guo , Hongwei Sun , Rushuai Li , Bo Zhao , Xiaobo Qu

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 present a lossy image compression method based on deep convolutional neural networks (CNNs), which outperforms the existing BPG, WebP, JPEG2000 and JPEG as measured via multi-scale structural similarity (MS-SSIM), at the same bit rate.…

Image and Video Processing · Electrical Eng. & Systems 2018-06-06 Haojie Liu , Tong Chen , Qiu Shen , Tao Yue , Zhan Ma

Earth observation (EO) plays a crucial role in creating and sustaining a resilient and prosperous society that has far reaching consequences for all life and the planet itself. Remote sensing platforms like satellites, airborne platforms,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-09 Protim Bhattacharjee , PEter Jung

Deep learning networks excel at classification, yet identifying minimal architectures that reliably solve a task remains challenging. We present a computational methodology for systematically exploring and analyzing the relationships among…

Machine Learning · Computer Science 2026-01-27 Ziwei Zheng , Huizhi Liang , Vaclav Snasel , Vito Latora , Panos Pardalos , Giuseppe Nicosia , Varun Ojha

All Lossy compression algorithms employ similar compression schemes -- frequency domain transform followed by quantization and lossless encoding schemes. They target tradeoffs by quantizating high frequency data to increase compression…

Information Theory · Computer Science 2021-12-15 Johnathan Chiu

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

In latest years, deep learning has gained a leading role in the pansharpening of multiresolution images. Given the lack of ground truth data, most deep learning-based methods carry out supervised training in a reduced-resolution domain.…

Image and Video Processing · Electrical Eng. & Systems 2023-07-28 Matteo Ciotola , Giovanni Poggi , Giuseppe Scarpa

Compressed Sensing MRI (CS-MRI) aims at reconstructing de-aliased images from sub-Nyquist sampling k-space data to accelerate MR Imaging, thus presenting two basic issues, i.e., where to sample and how to reconstruct. To deal with both…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Jingfen Xie , Jian Zhang , Yongbing Zhang , Xiangyang Ji

$\ell_1$ based sparse regularization plays a central role in compressive sensing and image processing. In this paper, we propose $\ell_1$DecNet, as an unfolded network derived from a variational decomposition model incorporating $\ell_1$…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Yumeng Ren , Yiming Gao , Chunlin Wu , Xue-cheng Tai

The method of superposition is proposed in combination with a sparse $\ell_1$ optimisation algorithm with the aim of finding a sparse basis to accurately reconstruct the structural vibrations of a radiating object from a set of acoustic…

Computational Physics · Physics 2016-01-20 Nadia M. Abusag , David J. Chappell

Pre-trained large models attract widespread attention in recent years, but they face challenges in applications that require high interpretability or have limited resources, such as physical sensing, medical imaging, and bioinformatics.…

Machine Learning · Computer Science 2025-01-24 Chaoqing Tang , Huanze Zhuang , Guiyun Tian , Zhenli Zeng , Yi Ding , Wenzhong Liu , Xiang Bai

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

Compressive sensing (CS) is a technique that enables the recovery of sparse signals using fewer measurements than traditional sampling methods. To address the computational challenges of CS reconstruction, our objective is to develop an…

Image and Video Processing · Electrical Eng. & Systems 2024-01-08 Youhao Yu , Richard M. Dansereau

Single-pixel imaging (SPI) is a novel imaging technique whose working principle is based on the compressive sensing (CS) theory. In SPI, data is obtained through a series of compressive measurements and the corresponding image is…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Stephen L. H. Lau , Edwin K. P. Chong

Monte Carlo simulations of neutronic systems are computationally intensive and demand significant memory resources for high-fidelity modeling. Compressed sensing enables accurate reconstruction of signals from significantly fewer samples…

Computational Physics · Physics 2026-02-10 Ethan Lame , Camille Palmer , Todd Palmer , Ilham Variansyah

$\ell_1$ minimization is often used for finding the sparse solutions of an under-determined linear system. In this paper we focus on finding sharp performance bounds on recovering approximately sparse signals using $\ell_1$ minimization,…

Information Theory · Computer Science 2010-05-21 Weiyu Xu , Babak Hassibi

This proposes a novel ensemble deep learning-based model to accurately classify, detect and localize different defect categories for aggressive pitches and thin resists (High NA applications).In particular, we train RetinaNet models using…

Image and Video Processing · Electrical Eng. & Systems 2022-06-29 Bappaditya Deya , Dipam Goswamif , Sandip Haldera , Kasem Khalilb , Philippe Leraya , Magdy A. Bayoumi

This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly…

Numerical Analysis · Mathematics 2020-01-22 Abdellah Chkifa , Nick Dexter , Hoang Tran , Clayton G. Webster