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Increasing the imaging speed is a central aim in photoacoustic tomography. This issue is especially important in the case of sequential scanning approaches as applied for most existing optical detection schemes. In this work we address this…

数值分析 · 数学 2016-11-23 Markus Haltmeier , Thomas Berer , Sunghwan Moon , Peter Burgholzer

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

信息论 · 计算机科学 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

Deep learning models have significantly improved the visual quality and accuracy on compressive sensing recovery. In this paper, we propose an algorithm for signal reconstruction from compressed measurements with image priors captured by a…

机器学习 · 计算机科学 2020-03-20 Shaojie Xu , Sihan Zeng , Justin Romberg

In the context of compressed sensing (CS), this paper considers the problem of reconstructing sparse signals with the aid of other given correlated sources as multiple side information. To address this problem, we theoretically study a…

信息论 · 计算机科学 2017-01-19 Huynh Van Luong , Jurgen Seiler , Andre Kaup , Soren Forchhammer , Nikos Deligiannis

Sparse wideband sensor array design for sensor location optimisation is highly nonlinear and it is traditionally solved by genetic algorithms, simulated annealing or other similar optimization methods. However, this is an extremely…

信息论 · 计算机科学 2014-03-20 Matthew B. Hawes , Wei Liu

We study the compressed sensing reconstruction problem for a broad class of random, band-diagonal sensing matrices. This construction is inspired by the idea of spatial coupling in coding theory. As demonstrated heuristically and…

信息论 · 计算机科学 2015-03-19 David L. Donoho , Adel Javanmard , Andrea Montanari

Compressed sensing of sparse sources can be improved by incorporating prior knowledge of the source. In this paper we demonstrate a method for optimal selection of weights in weighted $L_1$ norm minimization for a noiseless reconstruction…

信息论 · 计算机科学 2013-09-17 Toshiyuki Tanaka , Jack Raymond

This work examines the compressed sensor caching problem in wireless sensor networks and devises efficient distributed sparse data recovery algorithms to enable collaboration among multiple caches. In this problem, each cache is only…

信息论 · 计算机科学 2024-06-17 Yi-Jen Yang , Ming-Hsun Yang , Jwo-Yuh Wu , Y. -W. Peter Hong

Compressed sensing provides an efficient framework for reconstructing wave signals from reduced measurements. For multi-channel buoy data, the three displacement components exhibit intrinsic correlations, as wave motion contributes…

地球物理 · 物理学 2026-05-26 Qingyu Jiang , Henrik Kalisch , Michel Benoit , Karoline Holand , Patrick Sprenger

Compressed sensing is a relatively new mathematical paradigm that shows a small number of linear measurements are enough to efficiently reconstruct a large dimensional signal under the assumption the signal is sparse. Applications for this…

数值分析 · 数学 2018-01-08 Lenny Fukshansky , Deanna Needell , Benny Sudakov

We use compressed sensing to demonstrate theoretically the reconstruction of sub-wavelength features from measured far-field, and provide experimental proof-of-concept. The methods can be applied to non-optical microscopes, provided the…

光学 · 物理学 2015-05-14 Snir Gazit , Alexander Szameit , Yonina C. Eldar , Mordechai Segev

In this paper we study the compressive sensing effects on 2D signals exhibiting sparsity in 2D DFT domain. A simple algorithm for reconstruction of randomly under-sampled data is proposed. It is based on the analytically determined…

信息论 · 计算机科学 2015-11-17 Srdjan Stankovic , Irena Orovic

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

信息论 · 计算机科学 2015-04-28 Ljubisa Stankovic , Milos Dakovic

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…

In this paper, we exploit the theory of compressive sensing to perform detection of a random source in a dense sensor network. When the sensors are densely deployed, observations at adjacent sensors are highly correlated while those…

信息论 · 计算机科学 2017-07-27 Thakshila Wimalajeewa , Pramod K. Varshney

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

动力系统 · 数学 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

信息论 · 计算机科学 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

信息论 · 计算机科学 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

We advocate an optimization procedure for variable density sampling in the context of compressed sensing. In this perspective, we introduce a minimization problem for the coherence between the sparsity and sensing bases, whose solution…

信息论 · 计算机科学 2011-09-29 Gilles Puy , Pierre Vandergheynst , Yves Wiaux

The task of compressed sensing is to recover a sparse vector from a small number of linear and non-adaptive measurements, and the problem of finding a suitable measurement matrix is very important in this field. While most recent works…

信息论 · 计算机科学 2012-12-18 Yi-Zheng Fan , Tao Huang , Ming Zhu