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We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Kees Janse , Massimo Mischi , Ruud J. G. van Sloun

A seismic wavefield reconstruction framework based on compressed sensing using the data-driven reduced-order model (ROM) is proposed and its characteristics are investigated through numerical experiments. The data-driven ROM is generated…

A field known as Compressive Sensing (CS) has recently emerged to help address the growing challenges of capturing and processing high-dimensional signals and data sets. CS exploits the surprising fact that the information contained in a…

机器学习 · 统计学 2010-02-08 Michael B. Wakin

This work addresses the problem of extracting deeply learned features directly from compressive measurements. There has been no work in this area. Existing deep learning tools only give good results when applied on the full signal, that too…

计算机视觉与模式识别 · 计算机科学 2016-12-23 Shikha Singh , Vanika Singhal , Angshul Majumdar

In this survey paper, our goal is to discuss recent advances of compressive sensing (CS) based solutions in wireless sensor networks (WSNs) including the main ongoing/recent research efforts, challenges and research trends in this area. In…

信号处理 · 电气工程与系统科学 2019-01-23 Thakshila Wimalajeewa , Pramod K. Varshney

Existing three-dimensional (3-D) compressive sensing-based millimeter-wave (MMW) imaging methods require a large-scale storage of the sensing matrix and immense computations owing to the high dimension matrix-vector model employed in the…

信号处理 · 电气工程与系统科学 2018-12-26 Shiyong Li , Guoqiang Zhao , Houjun Sun , Moeness Amin

This paper proposes a simple adaptive sensing and group testing algorithm for sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and Search (CASS), is shown to be near-optimal in that it succeeds at the lowest possible…

信息论 · 计算机科学 2014-04-30 Matthew L. Malloy , Robert D. Nowak

Compressed sensing is the art of reconstructing a sparse vector from its inner products with respect to a small set of randomly chosen measurement vectors. It is usually assumed that the ensemble of measurement vectors is in isotropic…

信息论 · 计算机科学 2014-02-25 Richard Kueng , David Gross

Rotation group $\mathcal{SO}(d)$ synchronization is an important inverse problem and has attracted intense attention from numerous application fields such as graph realization, computer vision, and robotics. In this paper, we focus on the…

最优化与控制 · 数学 2023-06-23 Linglingzhi Zhu , Chong Li , Anthony Man-Cho So

Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

信息论 · 计算机科学 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Compressive sensing (CS) combines data acquisition with compression coding to reduce the number of measurements required to reconstruct a sparse signal. In optics, this usually takes the form of projecting the field onto sequences of random…

信息论 · 计算机科学 2018-10-24 Davood Mardani , H. Esat Kondakci , Lane Martin , Ayman F. Abouraddy , George K. Atia

We demonstrate through numerical simulations with real data the feasibility of using compressive sensing techniques for the acquisition of spectro-polarimetric data. This allows us to combine the measurement and the compression process into…

天体物理仪器与方法 · 物理学 2015-05-14 A. Asensio Ramos , A. Lopez Ariste

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

计算工程、金融与科学 · 计算机科学 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

This paper describes performance bounds for compressed sensing (CS) where the underlying sparse or compressible (sparsely approximable) signal is a vector of nonnegative intensities whose measurements are corrupted by Poisson noise. In this…

信息论 · 计算机科学 2015-05-14 Maxim Raginsky , Rebecca M. Willett , Zachary T. Harmany , Roummel F. Marcia

We pose and solve the analogue of Slepian's time-frequency concentration problem on the surface of the unit sphere to determine an orthogonal family of strictly bandlimited functions that are optimally concentrated within a closed region of…

经典分析与常微分方程 · 数学 2013-06-14 Frederik J. Simons , F. A. Dahlen , Mark A. Wieczorek

Radio-interferometry (RI) observes the sky at unprecedented angular resolutions, enabling the study of several far-away galactic objects such as galaxies and black holes. In RI, an array of antennas probes cosmic signals coming from the…

图像与视频处理 · 电气工程与系统科学 2025-07-09 Olivier Leblanc , Yves Wiaux , Laurent Jacques

Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quantum systems remains an outstanding challenge. We propose…

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

信息论 · 计算机科学 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin