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This study concerns the development of a data-based compact model for the prediction of the fluid temperature evolution in district heating (DH) pipeline networks. This so-called "reduced-order model" (ROM) is obtained from reduction of the…

Numerical Analysis · Mathematics 2022-11-28 Mengting Jiang , Michel Speetjens , Camilo Rindt , David Smeulders

We introduce a new method for speeding up the inference of deep neural networks. It is somewhat inspired by the reduced-order modeling techniques for dynamical systems.The cornerstone of the proposed method is the maximum volume algorithm.…

Machine Learning · Computer Science 2020-11-26 Julia Gusak , Talgat Daulbaev , Evgeny Ponomarev , Andrzej Cichocki , Ivan Oseledets

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

This paper proposes a deep-learning based generalized reduced-order model (ROM) that can provide a fast and accurate prediction of the glottal flow during normal phonation. The approach is based on the assumption that the vibration of the…

Fluid Dynamics · Physics 2020-05-26 Yang Zhang , Weili Jiang , Luning Sun , Jianxun Wang , Simeon Smith , Ingo R. Titze , Xudong Zheng , Qian Xue

This paper explores how to identify a reduced order model (ROM) from a physical system. A ROM captures an invariant subset of the observed dynamics. We find that there are four ways a physical system can be related to a mathematical model:…

Dynamical Systems · Mathematics 2023-07-05 Robert Szalai

In this paper, we propose a new approach to design globally convergent reduced-order observers for nonlinear control systems via contraction analysis and convex optimization. Despite the fact that contraction is a concept naturally suitable…

Optimization and Control · Mathematics 2021-08-17 Bowen Yi , Ruigang Wang , Ian R. Manchester

Learning-based methods commonly treat state estimation in robotics as a sequence modeling problem. While this paradigm can be effective at maximizing end-to-end performance, models are often difficult to interpret and expensive to train,…

Robotics · Computer Science 2026-05-07 Lennart Röstel , Berthold Bäuml

This paper addresses the problem of decentralized, collaborative state estimation in robotic teams. In particular, this paper considers problems where individual robots estimate similar physical quantities, such as each other's position…

The efficient condition assessment of engineered systems requires the coupling of high fidelity models with data extracted from the state of the system `as-is'. In enabling this task, this paper implements a parametric Model Order Reduction…

Numerical Analysis · Mathematics 2024-07-25 Konstantinos Vlachas , Konstantinos Tatsis , Konstantinos Agathos , Adam R. Brink , Eleni Chatzi

In this contribution, we focus on the Reynolds-Averaged Navier-Stokes (RANS) models and their exploitation to build reliable reduced order models to further accelerate predictions for real-time applications and many-query scenarios.…

Fluid Dynamics · Physics 2025-10-09 Davide Oberto , Maria Strazzullo , Stefano Berrone

Non-intrusive model reduction is a promising solution to system dynamics prediction, especially in cases where data are collected from experimental campaigns or proprietary software simulations. In this work, we present a method for…

Fluid Dynamics · Physics 2024-04-04 Leonidas Gkimisis , Thomas Richter , Peter Benner

Reduced-order models (ROMs) allow for the simulation of blood flow in patient-specific vasculatures without the high computational cost and wait time associated with traditional computational fluid dynamics (CFD) models. Unfortunately, due…

Computational Engineering, Finance, and Science · Computer Science 2024-02-27 Natalia L. Rubio , Luca Pegolotti , Martin R. Pfaller , Eric F. Darve , Alison L. Marsden

There is a growing interest in developing data-driven reduced-order models for atmospheric and oceanic flows that are trained on data obtained either from high-resolution simulations or satellite observations. The data-driven models are…

Fluid Dynamics · Physics 2022-12-07 Suraj Pawar , Omer San

The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. The goal of the inversion is to determine from these…

Numerical Analysis · Mathematics 2018-06-18 Liliana Borcea , Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

In this paper, we consider the learning of a Reduced-Order Linear Parameter-Varying Model (ROLPVM) of a nonlinear dynamical system based on data. This is achieved by a two-step procedure. In the first step, we learn a projection to a lower…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Patrick J. W. Koelewijn , Rajiv Sing , Peter Seiler , Roland Tóth

We propose a computationally efficient framework to treat nonlinear partial differential equations having bifurcating solutions as one or more physical control parameters are varied. Our focus is on steady bifurcations. Plotting a…

Numerical Analysis · Mathematics 2020-06-11 Federico Pichi , Annalisa Quaini , Gianluigi Rozza

Weather prediction is a quintessential problem involving the forecasting of a complex, nonlinear, and chaotic high-dimensional dynamical system. This work introduces an efficient reduced-order modeling (ROM) framework for short-range…

Machine Learning · Computer Science 2025-11-18 Amirpasha Hedayat , Karthik Duraisamy

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

State estimation is an important aspect in many robotics applications. In this work, we consider the task of obtaining accurate state estimates for robotic systems by enhancing the dynamics model used in state estimation algorithms.…

Robotics · Computer Science 2023-02-16 Kong Yao Chee , M. Ani Hsieh

We present an estimator-based control design procedure for flow control, using reduced-order models of the governing equations, linearized about a possibly unstable steady state. The reduced models are obtained using an approximate balanced…

Optimization and Control · Mathematics 2015-05-13 Sunil Ahuja , Clarence W. Rowley
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