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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

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

Machine Learning · Computer Science 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

We propose a numerical pipeline for shape optimization in naval engineering involving two different non-intrusive reduced order method (ROM) techniques. Such methods are proper orthogonal decomposition with interpolation (PODI) and dynamic…

Numerical Analysis · Mathematics 2019-05-15 Marco Tezzele , Nicola Demo , Gianluigi Rozza

A data-driven framework using snapshots of an uncontrolled flow is proposed to identify, and subsequently demonstrate, effective control strategies for different objectives in supersonic impinging jets. The approach, based on a dynamic mode…

Fluid Dynamics · Physics 2023-09-12 Spencer L. Stahl , Datta V. Gaitonde

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

Machine Learning · Computer Science 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

We introduce an approach for damage detection in gearboxes based on the analysis of sensor data with the multi-resolution dynamic mode decomposition (mrDMD). The application focus is the condition monitoring of wind turbine gearboxes under…

Signal Processing · Electrical Eng. & Systems 2022-03-23 Paolo Climaco , Jochen Garcke , Rodrigo Iza-Teran

Dynamic mode decomposition (DMD) has proven to be a valuable tool for the analysis of complex flow-fields but the application of this technique to flows with moving boundaries is not straightforward. This is due to the difficulty in…

Fluid Dynamics · Physics 2020-07-28 Karthik Menon , Rajat Mittal

Numerous cutting-edge scientific technologies originate at the laboratory scale, but transitioning them to practical industry applications is a formidable challenge. Traditional pilot projects at intermediate scales are costly and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-22 Seung Whan Chung , Youngsoo Choi , Pratanu Roy , Thomas Moore , Thomas Roy , Tiras Y. Lin , Du Y. Nguyen , Christopher Hahn , Eric B. Duoss , Sarah E. Baker

Ground state energy estimation in physical, chemical, and materials sciences is one of the most promising applications of quantum computing. In this work, we introduce a new hybrid approach that finds the eigenenergies by collecting…

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

Extended Dynamic Mode Decomposition (EDMD) is a widely-used data-driven approach to learn an approximation of the Koopman operator. Consequently, it provides a powerful tool for data-driven analysis, prediction, and control of nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Yang Guo , Manuel Schaller , Karl Worthmann , Stefan Streif

We present a new approach to calculating time eigenvalues of the neutron transport operator (also known as $\alpha$ eigenvalues) by extending the dynamic mode decomposition (DMD) to allow for non-uniform time steps. The new method, called…

Computational Physics · Physics 2022-08-24 Ethan Smith , Ilham Variansyah , Ryan McClarren

Linear reduced-order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that…

Graphics · Computer Science 2025-10-01 Yutian Tao , Maurizio Chiaramonte , Pablo Fernandez

Numerical simulation of the complex plasma dynamics associated with high power, high frequency microwave breakdown at high pressures, leading to the formation of filamentary plasma structures such as self-organized plasma arrays, is a…

Plasma Physics · Physics 2025-05-13 Pratik Ghosh , Bhaskar Chaudhury

We present a data-driven learning approach for unknown nonautonomous dynamical systems with time-dependent inputs based on dynamic mode decomposition (DMD). To circumvent the difficulty of approximating the time-dependent Koopman operators…

Numerical Analysis · Mathematics 2023-06-28 Hannah Lu , Daniel M. Tartakovsky

There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

Neurons and Cognition · Quantitative Biology 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

In this work we perform full-state LQR feedback control of fluid flows using non-intrusive data-driven reduced-order models. We propose a model reduction method called low-rank Dynamic Mode Decomposition (lrDMD) that solves for a…

Fluid Dynamics · Physics 2020-01-08 Palash Sashittal , Daniel J. Bodony

This paper presents a novel, more efficient proper orthogonal decomposition (POD) based reduced-order model (ROM) for compressible flows. In this POD model the governing equations, i.e., the conservation of mass, momentum, and energy…

Computational Physics · Physics 2021-02-03 Elizabeth H. Krath , Forrest L. Carpenter , Paul G. A. Cizmas , David A. Johnston

Data-driven methods for establishing quantum optimal control (QOC) using time-dependent control pulses tailored to specific quantum dynamical systems and desired control objectives are critical for many emerging quantum technologies. We…

Quantum Physics · Physics 2021-03-29 Andy Goldschmidt , Eurika Kaiser , Jonathan L. Dubois , Steven L. Brunton , J. Nathan Kutz

This study introduces and compares the Hankel dynamic mode decomposition with control (Hankel-DMDc) and a novel Bayesian extension of Hankel-DMDc as model-free (i.e., data-driven and equation-free) approaches for system identification and…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Giorgio Palma , Andrea Serani , Shawn Aram , David W. Wundrow , David Drazen , Matteo Diez