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The need to perform quantum state tomography on ever larger systems has spurred a search for methods that yield good estimates from incomplete data. We study the performance of compressed sensing (CS) and least squares (LS) estimators in a…

量子物理 · 物理学 2013-03-15 A. Smith , C. A. Riofrío , B. E. Anderson , H. Sosa-Martinez , I. H. Deutsch , P. S. Jessen

In Phys. Rev. A 108, L060402 (2023), we introduced a Bayesian measurement error mitigation algorithm, which leveraged complete information from the readout signal, and validated the protocol on a quantum device with five superconducting…

量子物理 · 物理学 2025-11-18 F. Cosco , F. Plastina , N. Lo Gullo

One-bit compressed sensing (1bCS) is a method of signal acquisition under extreme measurement quantization that gives important insights on the limits of signal compression and analog-to-digital conversion. The setting is also equivalent to…

信息论 · 计算机科学 2021-05-12 Larkin Flodin , Venkata Gandikota , Arya Mazumdar

We provide the first analysis of a non-trivial quantization scheme for compressed sensing measurements arising from structured measurements. Specifically, our analysis studies compressed sensing matrices consisting of rows selected at…

信息论 · 计算机科学 2017-02-16 Joe-Mei Feng , Felix Krahmer , Rayan Saab

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

信息论 · 计算机科学 2008-05-06 Thomas Blumensath , Mike E. Davies

Compressed sensing (CS) is an emerging paradigm for acquisition of compressed representations of a sparse signal. Its low complexity is appealing for resource-constrained scenarios like sensor networks. However, such scenarios are often…

信息论 · 计算机科学 2015-03-31 Diego Valsesia , Giulio Coluccia , Enrico Magli

We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

信息论 · 计算机科学 2018-01-18 Elsa Dupraz

The one-bit quantization is implemented by one single comparator that operates at low power and a high rate. Hence one-bit compressive sensing (1bit-CS) becomes attractive in signal processing. When measurements are corrupted by noise…

信息论 · 计算机科学 2018-03-20 Xiaolin Huang , Lei Shi , Ming Yan , Johan A. K. Suykens

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

Compressive Sensing (CS) is a new technique for the efficient acquisition of signals, images, and other data that have a sparse representation in some basis, frame, or dictionary. By sparse we mean that the N-dimensional basis…

信息论 · 计算机科学 2015-05-18 Chinmay Hegde , Richard G. Baraniuk

Quantized compressive sensing (QCS) deals with the problem of representing compressive signal measurements with finite precision representation, i.e., a mandatory process in any practical sensor design. To characterize the signal…

信息论 · 计算机科学 2018-05-14 Chunlei Xu , Vincent Schellekens , Laurent Jacques

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

The paper analyses the possibility to recover different biomedical signals if limited number of samples is available. Having in mind that monitoring of health condition is done by measuring and observing key parameters such as heart…

信号处理 · 电气工程与系统科学 2018-02-02 Ivan Martinovic , Vesna Mandic

One-bit compressed sensing (1bCS) addresses the recovery of sparse signals from highly quantized measurements, retaining only the sign of each linear measurement. In the support recovery setting, the goal is to identify $\text{supp}(x)$,…

信息论 · 计算机科学 2026-04-14 Xiaxin Li , Arya Mazumdar

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Thanks to the rapid proliferation of connected devices, sensor-generated time series constitute a large and growing portion of the world's data. Often, this data is collected from distributed, resource-constrained devices and centralized at…

性能 · 计算机科学 2018-08-09 Davis Blalock , Samuel Madden , John Guttag

In this paper, a compressive sensing (CS) approach is proposed for sparse binary signals' compression and reconstruction based on analog fountain codes (AFCs). In the proposed scheme, referred to as the analog fountain compressive sensing…

信息论 · 计算机科学 2018-07-13 Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic , Jinhong Yuan

Recently, it has been shown that compressed sensing (CS) has the potential to lower energy consumption in wireless electrocardiogram (ECG) systems. By reducing the number of acquired measurements, the communication burden is decreased and…

信号处理 · 电气工程与系统科学 2018-06-06 Luisa Polania , Rafael Plaza

The growing demand for machine learning applications in the context of the Internet of Things calls for new approaches to optimize the use of limited compute and memory resources. Despite significant progress that has been made w.r.t.…

机器学习 · 计算机科学 2026-03-06 Karsten Schrödter , Jan Stenkamp , Nina Herrmann , Fabian Gieseke

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

信息论 · 计算机科学 2019-04-30 Shirin Jalali , Xin Yuan