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We propose algorithms and software for computing projections onto the intersection of multiple convex and non-convex constraint sets. The software package, called SetIntersectionProjection, is intended for the regularization of inverse…

数学软件 · 计算机科学 2019-03-08 Bas Peters , Felix J. Herrmann

We propose a new technique to obtain super-resolution images with radio interferometer using sparse modeling. In standard radio interferometry, sampling of ($u$, $v$) is quite often incomplete and thus obtaining an image from observed…

天体物理仪器与方法 · 物理学 2014-07-10 Mareki Honma , Kazunori Akiyama , Makoto Uemura , Shiro Ikeda

Deformable registration is a fundamental task in medical image processing, aiming to achieve precise alignment by establishing nonlinear correspondences between images. Traditional methods offer good adaptability and interpretability but…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Jing Hu , Kaiwei Yu , Hongjiang Xian , Shu Hu , Xin Wang

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

最优化与控制 · 数学 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

Plasma diagnostics often employ computerized tomography to estimate emissivity profiles from a finite, and often limited, number of line-integrated measurements. Decades of algorithmic refinement have brought considerable improvements, and…

等离子体物理 · 物理学 2026-03-12 D. Hamm , C. Theiler , M. Simeoni , B. P. Duval , T. Debarre , L. Simons , J. R. Queralt

Recently, generative diffusion priors have made huge strides as inverse problem solvers, including the ability to be adapted for inference on out-of-distribution data. Concurrently, implicit neural representations (INRs) have emerged as…

图像与视频处理 · 电气工程与系统科学 2026-03-12 Maliha Hossain , Haley Duba-Sullivan , Amirkoushyar Ziabari

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

Image quality is the basis of image communication and understanding tasks. Due to the blur and noise effects caused by imaging, transmission and other processes, the image quality is degraded. Blind image restoration is widely used to…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Ningshan Xu

Sparsifying neural networks often suffers from seemingly inevitable performance degradation, and it remains challenging to restore the original performance despite much recent progress. Motivated by recent studies in robust optimization, we…

机器学习 · 计算机科学 2025-06-17 Dongyeop Lee , Kwanhee Lee , Jinseok Chung , Namhoon Lee

In this work we present a novel optimization strategy for image reconstruction tasks under analysis-based image regularization, which promotes sparse and/or low-rank solutions in some learned transform domain. We parameterize such…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Iaroslav Koshelev , Stamatios Lefkimmiatis

We present a method for supervised learning of sparsity-promoting regularizers for image denoising. Sparsity-promoting regularization is a key ingredient in solving modern image reconstruction problems; however, the operators underlying…

图像与视频处理 · 电气工程与系统科学 2020-06-11 Michael T. McCann , Saiprasad Ravishankar

Non-smooth optimization is a core ingredient of many imaging or machine learning pipelines. Non-smoothness encodes structural constraints on the solutions, such as sparsity, group sparsity, low-rank and sharp edges. It is also the basis for…

最优化与控制 · 数学 2022-05-04 Clarice Poon , Gabriel Peyré

We present the framework of slowly varying regression under sparsity, allowing sparse regression models to exhibit slow and sparse variations. The problem of parameter estimation is formulated as a mixed-integer optimization problem. We…

机器学习 · 计算机科学 2023-11-14 Dimitris Bertsimas , Vassilis Digalakis , Michael Linghzi Li , Omar Skali Lami

Sparse regression methods have been proven effective in a wide range of signal processing problems such as image compression, speech coding, channel equalization, linear regression and classification. In this paper a new convex method of…

最优化与控制 · 数学 2018-03-07 Victor Stefan Aldea

We consider sparse array beamfomer design achieving maximum signal-to interference plus noise ratio (MaxSINR). Both array configuration and weights are attuned to the changing sensing environment. This is accomplished by simultaneously…

信号处理 · 电气工程与系统科学 2019-10-24 Syed A. Hamza , Moeness G. Amin

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

信息论 · 计算机科学 2009-03-31 Lianlin Li , Fang Li

Deep neural networks often suffer from poor generalization caused by complex and non-convex loss landscapes. One of the popular solutions is Sharpness-Aware Minimization (SAM), which smooths the loss landscape via minimizing the maximized…

机器学习 · 计算机科学 2022-10-25 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Xiaoshuai Sun , Rongrong Ji , Dacheng Tao

The short-spacing problem describes the inherent inability of radio-interferometric arrays to measure the integrated flux and structure of diffuse emission associated with extended sources. New interferometric arrays, such as SKA, require…

天体物理仪器与方法 · 物理学 2018-07-18 S. Faridani , F. Bigiel , L. Floeer , J. Kerp , S. Stanimirovic

Hyperspectral image (HSI) super-resolution is commonly used to overcome the hardware limitations of existing hyperspectral imaging systems on spatial resolution. It fuses a low-resolution (LR) HSI and a high-resolution (HR) conventional…

图像与视频处理 · 电气工程与系统科学 2021-04-27 Xiuheng Wang , Jie Chen , Qi Wei , Cédric Richard

Spectral unmixing (SU) is a technique to characterize mixed pixels in hyperspectral images measured by remote sensors. Most of the spectral unmixing algorithms are developed using the linear mixing models. To estimate endmembers and…

计算机视觉与模式识别 · 计算机科学 2019-02-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani