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Ultra low radiation dose in X-ray Computed Tomography (CT) is an important clinical objective in order to minimize the risk of carcinogenesis. Compressed Sensing (CS) enables significant reductions in radiation dose to be achieved by…

In recent years, Compressed Sensing (CS) has gained significant interest as a technique for acquiring high-resolution sensory data using fewer measurements than traditional Nyquist sampling requires. At the same time, autonomous robotic…

机器人学 · 计算机科学 2025-07-25 Alghalya Al-Hajri , Ejmen Al-Ubejdij , Aiman Erbad , Ali Safa

The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

信息论 · 计算机科学 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

The paper studies the problem of recovering a spectrally sparse object from a small number of time domain samples. Specifically, the object of interest with ambient dimension $n$ is assumed to be a mixture of $r$ complex multi-dimensional…

信息论 · 计算机科学 2015-01-06 Yuxin Chen , Yuejie Chi

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

应用统计 · 统计学 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

In this paper, we propose a novel framework for the smart healthcare system, where we employ the compressed sensing (CS) and the combination of the state-of-the-art machine learning based denoiser as well as the alternating direction of…

计算机视觉与模式识别 · 计算机科学 2020-04-08 Abrar Zahin , Le Thanh Tan , Rose Qingyang Hu

This paper introduces a sparse projection matrix composed of discrete (digital) periodic lines that create a pseudo-random (p.frac) sampling scheme. Our approach enables random Cartesian sampling whilst employing deterministic and…

图像与视频处理 · 电气工程与系统科学 2024-01-09 Marlon Bran Lorenzana , Benjamin Cottier , Matthew Marques , Andrew Kingston , Shekhar S. Chandra

We present CS-SHRED, a novel deep learning architecture that integrates Compressed Sensing (CS) into a Shallow Recurrent Decoder (SHRED) to reconstruct spatiotemporal dynamics from incomplete, compressed, or corrupted data. Our approach…

机器学习 · 计算机科学 2025-08-01 Romulo B. da Silva , Diego Passos , Cássio M. Oishi , J. Nathan Kutz

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

机器学习 · 计算机科学 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

信息论 · 计算机科学 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question is how many measurements are needed for a stable…

信息论 · 计算机科学 2016-07-01 Kiryung Lee , Yihong Wu , Yoram Bresler

The Galactic Faraday depth sky is a tracer for both the Galactic magnetic field and the thermal electron distribution. It has been previously reconstructed from polarimetric measurements of extra-galactic point sources. Here, we improve on…

星系天体物理 · 物理学 2020-01-29 Sebastian Hutschenreuter , Torsten A. Enßlin

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

Polarized synchrotron emission from multiple Faraday depths can be separated by calculating the complex Fourier transform of the Stokes' parameters as a function of the wavelength squared, known as Faraday Synthesis. As commonly…

天体物理仪器与方法 · 物理学 2023-04-26 Lawrence Rudnick , William D. Cotton

We introduce the concept of compressed convolution, a technique to convolve a given data set with a large number of non-orthogonal kernels. In typical applications our technique drastically reduces the effective number of computations. The…

天体物理仪器与方法 · 物理学 2014-01-08 F. Elsner , B. D. Wandelt

Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. The classical theory typically considers either random linear…

The Coronal Multichannel Polarimeter (CoMP) routinely performs coronal polarimetric measurements using the Fe XIII 10747 $\AA$ and 10798 $\AA$ lines, which are sensitive to the coronal magnetic field. However, inverting such polarimetric…

太阳与恒星天体物理 · 物理学 2016-07-13 K. Dalmasse , D. W. Nychka , S. E. Gibson , Y. Fan , N. Flyer

The goal of compressed sensing is to reconstruct a sparse signal under a few linear measurements far less than the dimension of the ambient space of the signal. However, many real-life applications in physics and biomedical sciences carry…

最优化与控制 · 数学 2017-08-29 Angang Cui , Jigen Peng , Haiyang Li

In many applications in compressed sensing, the measurement matrix is a Fourier matrix, i.e., it measures the Fourier transform of the underlying signal at some specified `base' frequencies $\{u_i\}_{i=1}^M$, where $M$ is the number of…

信息论 · 计算机科学 2018-02-09 Eeshan Malhotra , Himanshu Pandotra , Ajit Rajwade , Karthik S. Gurumoorthy

Imaging by aperture synthesis from interferometric data is a well-known, but is a strong ill-posed inverse problem. Strong and faint radio sources can be imaged unambiguously using time and frequency integration to gather more Fourier…

天体物理仪器与方法 · 物理学 2015-12-22 M. Jiang , J. N. Girard , J. -L. Starck , S. Corbel , C. Tasse