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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…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 A. Asensio Ramos , A. Lopez Ariste

Polymerase chain reaction (PCR) testing is the gold standard for diagnosing COVID-19. PCR amplifies the virus DNA 40 times to produce measurements of viral loads that span seven orders of magnitude. Unfortunately, the outputs of these tests…

Quantitative Methods · Quantitative Biology 2022-01-19 Hsin-Po Wang , Ryan Gabrys , Alexander Vardy

Compressed sensing is the art of reconstructing structured $n$-dimensional vectors from substantially fewer measurements than naively anticipated. A plethora of analytic reconstruction guarantees support this credo. The strongest among them…

Information Theory · Computer Science 2018-12-20 Peter Jung , Richard Kueng , Dustin G. Mixon

Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is, columns from the sensing matrix are highly uncorrelated. However, sensing systems with naturally occurring correlations arise in many applications,…

Information Theory · Computer Science 2017-08-29 Tobias Birnbaum , Yonina C. Eldar , Deanna Needell

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…

Information Theory · Computer Science 2014-02-25 Richard Kueng , David Gross

When testing for infections, the standard method is to test each subject individually. If testing methodology is such that samples from multiple subjects can be efficiently combined and tested at once, yielding a positive results if any one…

Methodology · Statistics 2020-04-01 Anže Slosar

Compressed sensing (CS) is a concept that allows to acquire compressible signals with a small number of measurements. As such it is very attractive for hardware implementations. Therefore, correct calibration of the hardware is a central…

Information Theory · Computer Science 2015-04-30 Christophe Schülke , Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

We consider the problem of estimating the frequency components of a mixture of s complex sinusoids from a random subset of n regularly spaced samples. Unlike previous work in compressed sensing, the frequencies are not assumed to lie on a…

Information Theory · Computer Science 2013-07-12 Gongguo Tang , Badri Narayan Bhaskar , Parikshit Shah , Benjamin Recht

Power quality monitoring has become a vital need in modern power systems owing to the need for agile operation and troubleshooting scheme. On the other hand, the nature of load in modern power system is changing in many ways. Digital loads,…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Saeed Nasiri

In the era of open data, Poisson and other count regression models are increasingly important. Still, conventional Poisson regression has remaining issues in terms of identifiability and computational efficiency. Especially, due to an…

Methodology · Statistics 2022-01-19 Daisuke Murakami , Tomoko Matsui

Accurate detection of infected individuals is one of the critical steps in stopping any pandemic. When the underlying infection rate of the disease is low, testing people in groups, instead of testing each individual in the population, can…

When faulty sensors are rare in a network, diagnosing sensors individually is inefficient. This study introduces a novel use of concepts from group testing and Kalman filtering in detecting these rare faulty sensors with significantly fewer…

Systems and Control · Computer Science 2015-01-20 Chun Lo , Yechao Bai , Mingyan Liu , Jerome P. Lynch

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

Estimating many local expectation values over time is a central measurement bottleneck in quantum simulation and device characterization. We study the task of reconstructing the Pauli-signal matrix $S_{ij}=\text{Tr}(O_i \rho(t_j))$ for a…

Quantum Physics · Physics 2026-02-16 Joseph Barreto , Daniel Lidar

To strike a balance between energy efficiency and data quality control, this paper proposes a sensor censoring scheme for distributed sparse signal recovery via compressive-sensing based wireless sensor networks. In the proposed approach,…

Information Theory · Computer Science 2018-01-16 Jwo-Yuh Wu , Ming-Hsun Yang , Tsang-Yi Wang

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

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…

Machine Learning · Computer Science 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

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…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

We introduce new nonparametric predictors for homogeneous pooled data in the context of group testing for rare abnormalities and show that they achieve optimal rates of convergence. In particular, when the level of pooling is moderate, then…

Statistics Theory · Mathematics 2012-05-29 Aurore Delaigle , Peter Hall

In the pooled data problem, the goal is to identify the categories associated with a large collection of items via a sequence of pooled tests. Each pooled test reveals the number of items in the pool belonging to each category. A prominent…

Information Theory · Computer Science 2025-09-09 Nelvin Tan , Pablo Pascual Cobo , Ramji Venkataramanan