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Measurement of the velocity field in thermal-hydraulic experiments is of great importance for phenomena interpretation and code validation. Direct measurement employing Particle Image Velocimetry (PIV) is challenging in some multiphase…

Fluid Dynamics · Physics 2025-09-03 Xicheng Wang , YiMeng Chan , KinWing Wong , Dmitry Grishchenko , Pavel Kudinov

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

Perceiving the global field from sparse sensors has been a grand challenge in the monitoring, analysis, and design of physical systems. In this context, sensor placement optimization is a crucial issue. Most existing works require large and…

Machine Learning · Computer Science 2024-09-30 Xu Liu , Wen Yao , Wei Peng , Zhuojia Fu , Zixue Xiang , Xiaoqian Chen

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

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

The deployment of extensive sensor arrays in nuclear reactors is infeasible due to challenging operating conditions and inherent spatial limitations. Strategically placing sensors within defined spatial constraints is essential for the…

In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental…

Computational Physics · Physics 2020-02-20 Julien Berger , Denys Dutykh , Nathan Mendes

We develop an algorithm to explore an environment to generate a measurement model for use in future localization tasks. Ergodic exploration with respect to the likelihood of a particular class of measurement (e.g., a contact detection…

Robotics · Computer Science 2018-08-29 Ian Abraham , Anastasia Mavrommati , Todd D. Murphey

We propose a control-oriented optimal experimental design (cOED) approach for linear PDE-constrained Bayesian inverse problems. In particular, we consider optimal control problems with uncertain parameters that need to be estimated by…

Optimization and Control · Mathematics 2025-09-01 Madhusudan Madhavan , Alen Alexanderian , Arvind K. Saibaba , Bart van Bloemen Waanders , Rebekah D. White

We present a novel method for reconstructing the thermal conductivity coefficient in 1D and 2D heat equations using moving sensors that dynamically traverse the domain to record sparse and noisy temperature measurements. We significantly…

Numerical Analysis · Mathematics 2024-10-31 Guangting Yu , Shiwei Lan , Kookjin Lee , Alex Mahalov

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

Sequential filtering and spatial inverse problems assimilate data points distributed either temporally (in the case of filtering) or spatially (in the case of spatial inverse problems). Sometimes it is possible to choose the position of…

Statistics Theory · Mathematics 2025-08-19 Sahani Pathiraja , Claudia Schillings , Philipp Wacker

Flexible spacecraft structures present significant challenges for physical and control system design due to nonlinear dynamics, mission constraints, environmental variables, and changing operational conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Matthew Hilsenrath , Daniel R. Herber

Reconstruction of fine-scale information from sparse data is relevant to many practical fluid dynamic applications where the sensing is typically sparse. Fluid flows in an ideal sense are manifestations of nonlinear multiscale PDE dynamical…

Computational Physics · Physics 2020-10-28 Chen Lu , Balaji Jayaraman

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

Data-driven modeling and control of temperature dynamics in mechatronics systems and industrial processes are challenging control engineering problems. This is mainly because the temperature dynamics is inherently infinite-dimensional,…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Aleksandar Haber

Since the internal temperature is less accessible than surface temperature, there is an urgent need to develop accurate and real-time estimation algorithms for better thermal management and safety. This work presents a novel framework for…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Yusheng Zheng , Wenxue Liu , Yunhong Che , Ferdinand Grimm , Jingyuan Zhao , Xiaosong Hu , Simona Onori , Remus Teodorescu , Gregory J. Offer

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

In data assimilation, the model may be subject to uncertainties and errors. The weak-constraint data assimilation framework enables incorporating model uncertainty in the dynamics of the governing equations. We propose a new framework for…

Numerical Analysis · Mathematics 2025-12-23 Alen Alexanderian , Hugo Díaz , Vishwas Rao , Arvind K. Saibaba

Lattice thermal conductivity (TC) of semiconductors is crucial for various applications, ranging from microelectronics to thermoelectrics. Data-driven approach can potentially establish the critical composition-property relationship needed…

Materials Science · Physics 2022-08-30 Zeyu Liu , Meng Jiang , Tengfei Luo
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