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In this paper, we propose a penalty dual-primal augmented lagrangian method for solving convex minimization problems under linear equality or inequality constraints. The proposed method combines a novel penalty technique with updates the…

最优化与控制 · 数学 2023-05-09 Jie Liu , Xiaoqing Ou , Jiawei Chen

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…

机器学习 · 统计学 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Support vector machines (SVMs) with sparsity-inducing nonconvex penalties have received considerable attentions for the characteristics of automatic classification and variable selection. However, it is quite challenging to solve the…

机器学习 · 统计学 2018-09-12 Lei Guan , Linbo Qiao , Dongsheng Li , Tao Sun , Keshi Ge , Xicheng Lu

In this article, we introduce a novel algorithm for efficient near-field synthetic aperture radar (SAR) imaging for irregular scanning geometries. With the emergence of fifth-generation (5G) millimeter-wave (mmWave) devices, near-field SAR…

信号处理 · 电气工程与系统科学 2023-05-04 Josiah Smith , Murat Torlak

Passive synthetic aperture radar (SAR) uses existing signals of opportunity such as communication and broadcasting signals. In our prior work, we have developed a low-rank matrix recovery (LRMR) method that can reconstruct scenes with…

计算工程、金融与科学 · 计算机科学 2017-11-10 Eric Mason , Birsen Yazici

We consider a class of constrained optimization problems with a possibly nonconvex non-Lipschitz objective and a convex feasible set being the intersection of a polyhedron and a possibly degenerate ellipsoid. Such problems have a wide range…

最优化与控制 · 数学 2016-04-08 Xiaojun Chen , Zhaosong Lu , Ting Kei Pong

In this paper, we consider a class of nonconvex problems with linear constraints appearing frequently in the area of image processing. We solve this problem by the penalty method and propose the iteratively reweighted alternating…

最优化与控制 · 数学 2019-02-13 Tao Sun , Dongsheng Li , Hao Jiang , Zhe Quan

Synthetic aperture radar (SAR) image change detection is a critical yet challenging task in the field of remote sensing image analysis. The task is non-trivial due to the following challenges: Firstly, intrinsic speckle noise of SAR images…

图像与视频处理 · 电气工程与系统科学 2021-10-19 Yunhao Gao , Feng Gao , Junyu Dong , Qian Du , Heng-Chao Li

We propose a nonconvexly regularized convex model for linear regression problems under non-Gaussian noise. The cost function of the proposed model is designed with a possibly non-quadratic data fidelity term and a nonconvex regularizer via…

最优化与控制 · 数学 2025-09-04 Wataru Yata , Keita Kume , Isao Yamada

Automotive synthetic aperture radar (SAR) can achieve a significant angular resolution enhancement for detecting static objects, which is essential for automated driving. Obtaining high resolution SAR images requires precise ego vehicle…

信号处理 · 电气工程与系统科学 2022-04-25 Oded Bialer , Tom Tirer

With a focus on linear models with smooth functional covariates, we propose a penalization framework (SACR) based on the nonzero centered ridge, where the center of the penalty is optimally reweighted in a supervised way, starting from the…

统计方法学 · 统计学 2020-11-03 Edoardo Belli

In recent years, compressed sensing (CS) has been applied in the field of synthetic aperture radar (SAR) imaging and shows great potential. The existing models are, however, based on application of the sensing matrix acquired by the exact…

信息论 · 计算机科学 2014-05-23 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

Through-wall synthetic aperture radar (SAR) imaging is of significant interest for security purposes, in particular when using multi-static SAR systems consisting of multiple distributed radar transmitters and receivers to improve…

数值分析 · 数学 2024-10-30 Francis Watson , Daniel Andre , William Robert Breckon Lionheart

In a plethora of applications dealing with inverse problems, e.g. in image processing, social networks, compressive sensing, biological data processing etc., the signal of interest is known to be structured in several ways at the same time.…

计算机视觉与模式识别 · 计算机科学 2016-08-24 Paris Giampouras , Konstantinos Themelis , Athanasios Rontogiannis , Konstantinos Koutroumbas

Array synthetic aperture radar (SAR) three-dimensional (3D) imaging can obtain 3D information of the target region, which is widely used in environmental monitoring and scattering information measurement. In recent years, with the…

图像与视频处理 · 电气工程与系统科学 2024-06-04 Yangyang Wang , Xu Zhan , Jing Gao , Jinjie Yao , Shunjun Wei , JianSheng Bai

A novel artificial neural network method is proposed for solving Cauchy inverse problems. It allows multiple hidden layers with arbitrary width and depth, which theoretically yields better approximations to the inverse problems. In this…

数值分析 · 数学 2020-01-07 Yixin Li , Xianliang Hu

Synthetic Aperture Radar (SAR) utilizes the movement of the radar antenna over a specific area of interest to achieve higher spatial resolution imaging. In this paper, we aim to investigate the realization of SAR imaging for a stationary…

信息检索 · 计算机科学 2024-09-19 Yifan Sun , Rang Liu , Zhiping Lu , Honghao Luo , Ming Li , Qian Liu

SAR technology has been intensively implemented for geo-sensing and mapping purposes due to its advantages of high azimuthal resolution and weather-independent operation compared to other remote sensing technologies. Modelling SAR image…

信号处理 · 电气工程与系统科学 2023-03-09 Mutong Li , Ercan Engin Kuruoglu

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

Compared with digital methods, sparse recovery based on spiking neural networks has great advantages like high computational efficiency and low power-consumption. However, current spiking algorithms cannot guarantee more accurate estimates…

信号处理 · 电气工程与系统科学 2020-09-22 Xiang Zhang , Lei Yu , Gang Zheng