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Sensitivity limits are usually determined using the Cram\'er-Rao bound. Recently this approach has been used to obtain the ultimate resolution limit for the estimation of the separation between two incoherent point sources. However, methods…

量子物理 · 物理学 2021-09-22 Giacomo Sorelli , Manuel Gessner , Mattia Walschaers , Nicolas Treps

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

信息论 · 计算机科学 2013-10-07 Diego Valsesia , Enrico Magli

In this paper we study the high-dimensional super-resolution imaging problem. Here we are given an image of a number of point sources of light whose locations and intensities are unknown. The image is pixelized and is blurred by a known…

最优化与控制 · 数学 2022-10-19 Bakytzhan Kurmanbek , Elina Robeva

Compressed sensing has shown that it is possible to reconstruct sparse high dimensional signals from few linear measurements. In many cases, the solution can be obtained by solving an L1-minimization problem, and this method is accurate…

数值分析 · 数学 2009-04-27 Deanna Needell

We consider the scenario in which multiple sensors send spatially correlated data to a fusion center (FC) via independent Rayleigh-fading channels with additive noise. Assuming that the sensor data is sparse in some basis, we show that the…

信息论 · 计算机科学 2015-06-12 Gang Yang , Vincent Y. F. Tan , Chin Keong Ho , See Ho Ting , Yong Liang Guan

The world is moving towards clean and renewable energy sources, such as wind energy, in an attempt to reduce greenhouse gas emissions that contribute to global warming. To enhance the analysis and storage of wind data, we introduce a deep…

机器学习 · 计算机科学 2024-11-07 Alif Bin Abdul Qayyum , Xihaier Luo , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

Data acquisition from a multi-hop large-scale outdoor wireless sensor network (WSN) deployment for environmental monitoring is full of challenges. This is because the severe resource constraints on small battery-operated motes (e.g.,…

网络与互联网体系结构 · 计算机科学 2017-09-11 Yimei Li , Yao Liang

This article introduces a novel paradigm for the unsourced multiple-access communication problem. This divide-and-conquer approach leverages recent advances in compressive sensing and forward error correction to produce a computationally…

We introduce and analyze a framework for function interpolation using compressed sensing. This framework - which is based on weighted $\ell^1$ minimization - does not require a priori bounds on the expansion tail in either its…

数值分析 · 数学 2017-01-24 Ben Adcock

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

概率论 · 数学 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

Inverse source localization from Helmholtz boundary data collected over a narrow aperture is highly ill-posed and severely undersampled, undermining classical solvers (e.g., the Direct Sampling Method). We present a modular framework that…

数值分析 · 数学 2025-10-31 Guanyu Pan , Jianing Zhou , Xiaotong Liu , Yunqing Huang , Nianyu Yi

We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex…

信号处理 · 电气工程与系统科学 2019-03-05 Jian-Feng Cai , Weiyu Xu , Yang Yang

Large-scale environmental sensing with a finite number of mobile sensors is a challenging task that requires a lot of resources and time. This is especially true when features in the environment are spatiotemporally changing with unknown or…

机器人学 · 计算机科学 2022-03-03 Sachin Shriwastav , Gregory Snyder , Zhuoyuan Song

We solve the compressive sensing problem via convolutional factor analysis, where the convolutional dictionaries are learned {\em in situ} from the compressed measurements. An alternating direction method of multipliers (ADMM) paradigm for…

机器学习 · 统计学 2017-01-12 Xin Yuan , Yunchen Pu , Lawrence Carin

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

信息论 · 计算机科学 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab.…

量子物理 · 物理学 2020-09-16 Jiaxuan Wang , Luiz Davidovich , Girish Saran Agarwal

Lossy compressors are increasingly adopted in scientific research, tackling volumes of data from experiments or parallel numerical simulations and facilitating data storage and movement. In contrast with the notion of entropy in lossless…

分布式、并行与集群计算 · 计算机科学 2023-05-16 Robert Underwood , Julie Bessac , David Krasowska , Jon C. Calhoun , Sheng Di , Franck Cappello

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

The compressed sensing paradigm allows to efficiently represent sparse signals by means of their linear measurements. However, the problem of transmitting these measurements to a receiver over a channel potentially prone to packet losses…

信息论 · 计算机科学 2014-03-06 Diego Valsesia , Giulio Coluccia , Enrico Magli

Thermal-Hydraulic (TH) experiments provide valuable insight into the physics of heat and mass transfer and qualified data for code development, calibration and validation. However, measurements are typically collected from sparsely…

系统与控制 · 电气工程与系统科学 2025-09-15 Xicheng Wang , Yun. Feng , Dmitry Grishchenko , Pavel Kudinov , Ruifeng Tian , Sichao Tan
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