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Flow-field reconstruction from sparse sensor measurements remains a central challenge in modern fluid dynamics, as the need for high-fidelity data often conflicts with practical limits on sensor deployment. Existing deep learning-based…

Computational Engineering, Finance, and Science · Computer Science 2026-05-15 Ruoyan Li , Guancheng Wan , Zijie Huang , Zixiao Liu , Haixin Wang , Xiao Luo , Wei Wang , Yizhou Sun

Optimal experimental design is a classic topic in statistics, with many well-studied problems, applications, and solutions. The design problem we study is the placement of sensors to monitor spatiotemporal processes, explicitly accounting…

Methodology · Statistics 2026-01-05 Daniel Waxman , Fernando Llorente , Katia Lamer , Petar M. Djurić

This paper concerns the data-driven sensor deployment problem in large spatiotemporal fields. Traditionally, sensor deployment strategies have been heavily dependent on model-based planning approaches. However, model-based approaches do not…

Signal Processing · Electrical Eng. & Systems 2022-01-04 Jiahong Chen

This paper addresses the challenges of thermal sensor allocation and full-chip temperature reconstruction in multi-core systems by leveraging an entropy-based sensor placement strategy and an adaptive compressive sensing approach. By…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Kun-Chih , Chen , Chia-Hsin Chen , Lei-Qi Wang , Chun-Chieh Wang

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Physics sensing plays a central role in many scientific and engineering domains, which inherently involves two coupled tasks: reconstructing dense physical fields from sparse observations and optimizing scattered sensor placements to…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Yuezhou Ma , Haixu Wu , Hang Zhou , Huikun Weng , Jianmin Wang , Mingsheng Long

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…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Xicheng Wang , Yun. Feng , Dmitry Grishchenko , Pavel Kudinov , Ruifeng Tian , Sichao Tan

Large-dimensional empirical data in science and engineering frequently have a low-rank structure and can be represented as a combination of just a few eigenmodes. Because of this structure, we can use just a few spatially localized sensor…

Statistical Mechanics · Physics 2025-09-16 Andrei A. Klishin , J. Nathan Kutz , Krithika Manohar

This study focuses on the stratification patterns and dynamic evolution of reservoir water temperatures, aiming to estimate and reconstruct the temperature field using limited and noisy local measurement data. Due to complex measurement…

Machine Learning · Computer Science 2025-02-21 Qianyu He , Huaiwei Sun , Yubo Li , Zhiwen You , Qiming Zheng , Yinghan Huang , Sipeng Zhu , Fengyu Wang

Temperature field inversion of heat-source systems (TFI-HSS) with limited observations is essential to monitor the system health. Although some methods such as interpolation have been proposed to solve TFI-HSS, those existing methods ignore…

Machine Learning · Computer Science 2022-06-14 Xu Liu , Wei Peng , Zhiqiang Gong , Weien Zhou , Wen Yao

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

The goal of compressive sensing is efficient reconstruction of data from few measurements, sometimes leading to a categorical decision. If only classification is required, reconstruction can be circumvented and the measurements needed are…

Computer Vision and Pattern Recognition · Computer Science 2013-10-17 B. W. Brunton , S. L. Brunton , J. L. Proctor , J. N. Kutz

Our work aims at simulating and predicting the temperature conditions inside a power transformer using Physics-Informed Neural Networks (PINNs). The predictions obtained are then used to determine the optimal placement for temperature…

Machine Learning · Computer Science 2025-02-04 Sirui Li , Federica Bragone , Matthieu Barreau , Tor Laneryd , Kateryna Morozovska

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

We propose a noise reduction method for unsteady pressure-sensitive paint (PSP) data based on modal expansion, the coefficients of which are determined from time-series data at optimally placed points. In this study, the proper orthogonal…

Fluid Dynamics · Physics 2021-07-15 Tomoki Inoue , Yu Matsuda , Tsubasa Ikami , Taku Nonomura , Yasuhiro Egami , Hiroki Nagai

We develop an optimization-based approach to the problem of reconstructing temperature-dependent material properties in complex thermo-fluid systems described by the equations for the conservation of mass, momentum and energy. Our goal is…

Fluid Dynamics · Physics 2013-04-11 Vladislav Bukshtynov , Bartosz Protas

A new method for optimal sensor placement based on variable importance of machine learned models is proposed. With its simplicity, adaptivity, and low computational cost, the method offers many advantages over existing approaches. The new…

Fluid Dynamics · Physics 2017-02-02 Richard Semaan

This paper addresses the problem of optimizing sensor deployment locations to reconstruct and also predict a spatiotemporal field. A novel deep learning framework is developed to find a limited number of optimal sampling locations and based…

Signal Processing · Electrical Eng. & Systems 2019-10-30 Jiahong Chen , Teng Li , Jing Wang , Clarence W. de Silva

Deciding how to optimally deploy sensors in a large, complex, and spatially extended structure is critical to ensure that the surface pressure field is accurately captured for subsequent analysis and design. In some cases, reconstruction of…

Fluid Dynamics · Physics 2023-06-08 Xihaier Luo , Ahsan Kareem , Shinjae Yoo

Thermo-acoustic tomography is a non-invasive medical imaging technique, constituting a precise and cheap alternative to X-imaging. The principle is to excite a body to reconstruct with a pulse inducing an inhomogeneous heating and therefore…

Analysis of PDEs · Mathematics 2019-07-24 Maïtine Bergounioux , Elie Bretin , Yannick Privat
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