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We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting…

Pattern Formation and Solitons · Physics 2016-09-22 Samuel H. Rudy , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We present a sparse sensing framework based on Dynamic Mode Decomposition (DMD) to identify flow regimes and bifurcations in large-scale thermo-fluid systems. Motivated by real-time sensing and control of thermal-fluid flows in buildings…

Dynamical Systems · Mathematics 2017-06-26 Boris Kramer , Piyush Grover , Petros Boufounos , Mouhacine Benosman , Saleh Nabi

We propose a general dynamic reduced-order modeling framework for typical experimental data: time-resolved sensor data and optional non-time-resolved PIV snapshots. This framework contains four steps. First, the sensor signals are lifted to…

Fluid Dynamics · Physics 2018-05-09 Jean-Christophe Loiseau , Bernd R. Noack , Steven L. Brunton

Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by inpainting with a partial differential equation (PDE). Suitable operators include the Laplacian, the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Laurent Hoeltgen , Markus Mainberger , Sebastian Hoffmann , Joachim Weickert , Ching Hoo Tang , Simon Setzer , Daniel Johannsen , Frank Neumann , Benjamin Doerr

Selecting cost-effective optimal sensor configurations for subsequent inference of parameters in black-box stochastic systems faces significant computational barriers. We propose a novel and robust approach, modelling the joint distribution…

Machine Learning · Statistics 2025-03-04 Paula Cordero-Encinar , Tobias Schröder , Peter Yatsyshin , Andrew Duncan

This paper demonstrates the efficacy of data-driven localization mappings for assimilating satellite-like observations in a dynamical system of intermediate complexity. In particular, a sparse network of synthetic brightness temperature…

Atmospheric and Oceanic Physics · Physics 2018-03-06 Michèle De La Chevrotière , John Harlim

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

Data-driven methods have gained increasing attention in computational mechanics and design. This study investigates a two-scale data-driven design for thermal metamaterials with various functionalities. To address the complexity of…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Daicong Da , Wei Chen

Thermal analysis is crucial in 3D-IC design due to increased power density and complex heat dissipation paths. Although operator learning frameworks such as DeepOHeat~\cite{liu2023deepoheat} have demonstrated promising preliminary results…

Machine Learning · Computer Science 2025-10-13 Xinling Yu , Ziyue Liu , Hai Li , Yixing Li , Xin Ai , Zhiyu Zeng , Ian Young , Zheng Zhang

State-of-the-art machine-learning-based models are a popular choice for modeling and forecasting energy behavior in buildings because given enough data, they are good at finding spatiotemporal patterns and structures even in scenarios where…

Machine Learning · Computer Science 2023-05-03 Zack Xuereb Conti , Ruchi Choudhary , Luca Magri

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

The patterned design of flexible sensors enables customized performance to meet diverse application demands. However, when multiple geometric parameters and sensing metrics are involved, experimental approaches to establish…

Soft Condensed Matter · Physics 2025-03-10 Jia-Chen Shang

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

Fluid Dynamics · Physics 2022-11-10 Andrea Nóvoa , Luca Magri

This paper considers a demand response agent that must find a near-optimal sequence of decisions based on sparse observations of its environment. Extracting a relevant set of features from these observations is a challenging task and may…

Machine Learning · Computer Science 2020-01-28 Frederik Ruelens , Bert J. Claessens , Peter Vrancx , Fred Spiessens , Geert Deconinck

Real-time tsunami early warning relies on distributed sensor networks to infer seismic sources and seafloor motion. Optimizing these networks via Bayesian optimal experimental design (OED) is exceptionally challenging for systems governed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-13 Sreeram Venkat , Stefan Henneking , Omar Ghattas

We study a scenario where an aircraft has multiple heterogeneous sensors collecting measurements to track a target vehicle of unknown location. The measurements are sampled along the flight path and our goals to optimize sensor placement to…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Matthew R. Kirchner , David Grimsman , Joao P. Hespanha , Jason R. Marden

A fundamental problem in collaborative sensing lies in providing an accurate prediction of critical events (e.g., hazardous environmental condition, urban abnormalities, economic trends). However, due to the resource constraints,…

Signal Processing · Electrical Eng. & Systems 2019-09-11 Daniel Zhang , Yang Zhang , Dong Wang

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

Data on citywide street-segment traffic volumes are essential for urban planning and sustainable mobility management. Yet such data are available only for a limited subset of streets due to the high costs of sensor deployment and…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Silke K. Kaiser

Legged locomotion shows promise for running in complex, unstructured environments. Designing such legged robots requires considering heterogeneous, multi-domain constraints and variables, from mechanical hardware and geometry choices to…

Robotics · Computer Science 2024-07-18 Reed Truax , Feng Liu , Souma Chowdhury , Ryan St. Pierre