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This paper addresses matrix approximation problems for matrices that are large, sparse and/or that are representations of large graphs. To tackle these problems, we consider algorithms that are based primarily on coarsening techniques,…

数值分析 · 计算机科学 2018-10-03 Shashanka Ubaru , Yousef Saad

We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

信息论 · 计算机科学 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

In this paper, we propose a novel hierarchical sensing framework for wideband integrated sensing and communications with uniform planar arrays (UPAs). Leveraging the beam-squint effect inherent in wideband orthogonal frequency-division…

信号处理 · 电气工程与系统科学 2026-01-01 Jaehong Jo , Jihun Park , Yo-Seb Jeon , H. Vincent Poor

In recent years, the demand for hyperspectral imaging devices has grown significantly, driven by their ability of capturing high-resolution spectral information. Among the several possible optical designs for acquiring hyperspectral images,…

图像与视频处理 · 电气工程与系统科学 2023-06-06 Daniele Picone , Silvére Gousset , Mauro Dalla-Mura , Yann Ferrec , Etienne le-Coarer

Inverse problems occur in a variety of parameter identification tasks in engineering. Such problems are challenging in practice, as they require repeated evaluation of computationally expensive forward models. We introduce a unifying…

最优化与控制 · 数学 2022-05-02 Simon Weissmann , Ashia Wilson , Jakob Zech

An iterative method is derived for image reconstruction. Among other attributes, this method allows constraints unrelated to the radiation measurements to be incorporated into the reconstructed image. A comparison is made with the widely…

计算物理 · 物理学 2011-01-06 Clinton DeW. Van Siclen

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

Composite convex optimization models arise in several applications, and are especially prevalent in inverse problems with a sparsity inducing norm and in general convex optimization with simple constraints. The most widely used algorithms…

最优化与控制 · 数学 2016-07-15 Vahan Hovhannisyan , Panos Parpas , Stefanos Zafeiriou

The optical resolution of a digital camera is one of its most crucial parameters with broad relevance for consumer electronics, surveillance systems, remote sensing, or medical imaging. However, resolution is physically limited by the…

计算机视觉与模式识别 · 计算机科学 2018-12-27 Thomas Köhler

Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free…

光学 · 物理学 2007-05-23 S. Marchesini

An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed methodology includes gradient-based multiscale optimization with…

最优化与控制 · 数学 2024-01-30 Maria M. F. M. Chun , Briana L. Edwards , Vladislav Bukshtynov

Hyperspectral and multispectral image fusion allows us to overcome the hardware limitations of hyperspectral imaging systems inherent to their lower spatial resolution. Nevertheless, existing algorithms usually fail to consider realistic…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Xiuheng Wang , Ricardo Augusto Borsoi , Cédric Richard , Jie Chen

We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations coupled with algebraic constraints. We discuss different…

数值分析 · 数学 2024-03-29 Margherita Guido , Daniel Kressner , Paolo Ricci

The surge of massive antenna arrays in wireless networks calls for the adoption of analog/hybrid array solutions, where multiple antenna elements are driven by a common radio front end to form a beam along a specific angle in order to…

信号处理 · 电气工程与系统科学 2024-10-28 Silvio Mandelli , Marcus Henninger , Jinfeng Du

Deep algorithm unrolling has emerged as a powerful model-based approach to develop deep architectures that combine the interpretability of iterative algorithms with the performance gains of supervised deep learning, especially in cases of…

计算机视觉与模式识别 · 计算机科学 2021-09-30 Yair Ben Sahel , John P. Bryan , Brian Cleary , Samouil L. Farhi , Yonina C. Eldar

Tomographic synthetic aperture radar (TomoSAR) imaging algorithms based on deep learning can effectively reduce computational costs. The idea of existing researches is to reconstruct the elevation for each range-azimuth cell in…

信号处理 · 电气工程与系统科学 2022-10-06 Yu Ren , Xiaoling Zhang , Yunqiao Hu , Xu Zhan

We proposed a novel dense line spectrum super-resolution algorithm, the DMRA, that leverages dynamical multi-resolution of atoms technique to address the limitation of traditional compressed sensing methods when handling dense point-source…

信号处理 · 电气工程与系统科学 2024-09-04 Mingguang Han , Yi Zeng , Xiaoguang Li , Tiejun Li

Photonic inverse design typically seeks designs parameterized by binary arrays, where the values of each element correspond to the presence or absence of material at a particular point in space. Gradient-based approaches to photonic inverse…

光学 · 物理学 2022-09-07 Zhaocheng Liu

Solving l1 regularized optimization problems is common in the fields of computational biology, signal processing and machine learning. Such l1 regularization is utilized to find sparse minimizers of convex functions. A well-known example is…

数值分析 · 计算机科学 2016-07-04 Eran Treister , Javier S. Turek , Irad Yavneh

Interferometry can measure the shape or the material density of a system that could not be measured otherwise by recording the difference between the phase change of a signal and a reference phase. This difference is always between $-\pi$…

等离子体物理 · 物理学 2022-10-20 Pierre-Alexandre Gourdain , Aidan Bachmann