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This paper considers the optimal sensor allocation for estimating the emission rates of multiple sources in a two-dimensional spatial domain. Locations of potential emission sources are known (e.g., factory stacks), and the number of…

Computation · Statistics 2025-09-09 Xinchao Liu , Dzung Phan , Youngdeok Hwang , Levente Klein , Xiao Liu , Kyongmin Yeo

This work presents a procedure that can quickly identify and isolate methane emission sources leading to expedient remediation. Minimizing the time required to identify a leak and the subsequent time to dispatch repair crews can…

Optimization and Control · Mathematics 2023-08-04 Kashif Rashid , Lukasz Zielinski , Junyi Yuan , Andrew Speck

The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be useful in this context, the error quantities must be explicit in…

Numerical Analysis · Mathematics 2024-04-19 Phuoc-Truong Huynh , Konstantin Pieper , Daniel Walter

This paper presents a novel framework for goal-oriented optimal static sensor placement and dynamic sensor steering in PDE-constrained inverse problems, utilizing a Bayesian approach accelerated by low-rank approximations. The framework is…

Numerical Analysis · Mathematics 2025-07-09 Marco Mattuschka , Noah An der Lan , Max von Danwitz , Daniel Wolff , Alexander Popp

We consider optimal sensor placement for a family of linear Bayesian inverse problems characterized by a deterministic hyper-parameter. The hyper-parameter describes distinct configurations in which measurements can be taken of the observed…

Numerical Analysis · Mathematics 2023-01-31 Nicole Aretz , Peng Chen , Denise Degen , Karen Veroy

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

Other Computer Science · Computer Science 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

Numerical Analysis · Mathematics 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

Sensor placement for linear inverse problems is the selection of locations to assign sensors so that the entire physical signal can be well recovered from partial observations. In this paper, we propose a fast sampling algorithm to place…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Fen Wang , Gene Cheung , Taihao Li , Ying Du , Yu-Ping Ruan

The linear inverse source and scattering problems are studied from the perspective of compressed sensing, in particular the idea that sufficient incoherence and sparsity guarantee uniqueness of the solution. By introducing the sensor as…

Data Analysis, Statistics and Probability · Physics 2009-05-19 Albert Fannjiang , Pengchong Yan , Thomas Strohmer

This paper considers the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochastic dynamic systems by using the local information…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Die Gan , Zhixin Liu

This work presents a mathematical model to enable rapid prediction of airborne contaminant transport based on scarce sensor measurements. The method is designed for applications in critical infrastructure protection (CIP), such as…

Numerical Analysis · Mathematics 2026-02-05 Marco Mattuschka , Daniel Walter , Max von Danwitz , Alexander Popp

We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of a passive scalar (e.g., the concentration of a pollutant).…

Numerical Analysis · Mathematics 2019-05-22 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

This paper studies the problem of power allocation in compressed sensing when different components in the unknown sparse signal have different probability to be non-zero. Given the prior information of the non-uniform sparsity and the total…

Information Theory · Computer Science 2014-05-12 Xiaochen Zhao , Wei Dai

We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an associated parameter-dependent elliptic PDE. The quality of the…

Optimization and Control · Mathematics 2021-03-30 Ira Neitzel , Konstantin Pieper , Boris Vexler , Daniel Walter

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…

Information Theory · Computer Science 2014-03-20 Matthew B. Hawes , Wei Liu

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

Signal Processing · Electrical Eng. & Systems 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

Using measure theoretic arguments, we provide a general framework for describing and studying the general linear inverse dispersion problem where no a priori assumptions on the source function has been made. We investigate the source-sensor…

Atmospheric and Oceanic Physics · Physics 2014-09-18 Niklas Brännström , Leif Å Persson

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

The sensor placement problem is a common problem that arises when monitoring correlated phenomena, such as temperature, precipitation, and salinity. Existing approaches to this problem typically formulate it as the maximization of…

Robotics · Computer Science 2024-08-23 Kalvik Jakkala , Srinivas Akella

This paper addresses the problem of fault diagnosis in multistation assembly systems. Fault diagnosis is to identify process faults that cause the excessive dimensional variation of the product using dimensional measurements. For such…

Applications · Statistics 2022-10-31 Jihoon Chung , Bo Shen , Zhenyu , Kong
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