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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

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

Computational Physics · Physics 2024-10-23 Ruth Medeiros , Valentin de la Rubia

In this manuscript, we combine non-intrusive reduced order models (ROMs) with space-dependent aggregation techniques to build a mixed-ROM. The prediction of the mixed formulation is given by a convex linear combination of the predictions of…

Numerical Analysis · Mathematics 2024-03-12 Anna Ivagnes , Niccolò Tonicello , Paola Cinnella , Gianluigi Rozza

We investigate the sensitivity of reduced order models (ROMs) to training data resolution as well as sampling rate. In particular, we consider proper orthogonal decomposition (POD), coupled with Galerkin projection (POD-GP), as an intrusive…

Fluid Dynamics · Physics 2020-07-15 Shady E. Ahmed , Omer San , Diana A. Bistrian , Ionel M. Navon

A precise spatial delivery of the radiation dose is crucial for the treatment success in radiotherapy. In the lung and upper abdominal region, respiratory motion introduces significant treatment uncertainties, requiring special motion…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Jan Boysen , Hristina Uzunova , Heinz Handels , Jan Ehrhardt

This paper presents and investigates a novel methodology for validating high-resolution ocean models using satellite imagery. High-resolution ocean models provide detailed information in coastal areas where other available data products are…

Atmospheric and Oceanic Physics · Physics 2025-01-28 G. Garcia-Sanchez , A. M. Mancho , A. G. Ramos , J. Coca , J. A. Jimenez-Madrid

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Gravitational-wave data analysis is rapidly absorbing techniques from deep learning, with a focus on convolutional networks and related methods that treat noisy time series as images. We pursue an alternative approach, in which waveforms…

Instrumentation and Methods for Astrophysics · Physics 2019-05-31 Alvin J. K. Chua , Chad R. Galley , Michele Vallisneri

Imaging methods based on array signal processing often require a fixed propagation speed of the medium, or speed of sound (SoS) for methods based on acoustic signals. The resolution of the images formed using these methods is strongly…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Kyurae Kim , Simon Maskell , Jason F. Ralph

Remote sensing of oceanographic data often yields incomplete coverage of the measurement domain. This can limit interpretability of the data and identification of coherent features informative of ocean dynamics. Several methods exist to…

Atmospheric and Oceanic Physics · Physics 2019-03-27 Siavash Ameli , Shawn C. Shadden

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

Optimization and Control · Mathematics 2015-12-09 Lorenzo Fagiano , Rudolf Gati

We propose a non-intrusive Deep Learning-based Reduced Order Model (DL-ROM) capable of capturing the complex dynamics of mechanical systems showing inertia and geometric nonlinearities. In the first phase, a limited number of high fidelity…

Numerical Analysis · Mathematics 2021-11-25 Stefania Fresca , Giorgio Gobat , Patrick Fedeli , Attilio Frangi , Andrea Manzoni

This paper introduces a method to preform optical tomography, using 3D radiative transfer as the forward model. We use an iterative approach predicated on the Spherical Harmonics Discrete Ordinates Method (SHDOM) to solve the optimization…

Atmospheric and Oceanic Physics · Physics 2015-01-27 Aviad Levis , Yoav Y. Schechner , Amit Aides , Anthony B. Davis

Uncertainty quantification (UQ) tasks, such as sensitivity analysis and parameter estimation, entail a huge computational complexity when dealing with input-output maps involving the solution of nonlinear differential problems, because of…

Numerical Analysis · Mathematics 2023-02-17 Ludovica Cicci , Stefania Fresca , Mengwu Guo , Andrea Manzoni , Paolo Zunino

Reduced Order Modeling is of paramount importance for efficiently inferring high-dimensional spatio-temporal fields in parametric contexts, enabling computationally tractable parametric analyses, uncertainty quantification and control.…

Machine Learning · Computer Science 2025-02-18 Matteo Tomasetto , Jan P. Williams , Francesco Braghin , Andrea Manzoni , J. Nathan Kutz

Focusing waves inside inhomogeneous media is a fundamental problem for imaging. Spatial variations of wave velocity can strongly distort propagating wavefronts and degrade image quality. Adaptive focusing can compensate for such aberration,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-15 William Lambert , Laura A. Cobus , Thomas Frappart , Mathias Fink , Alexandre Aubry

The estimation of fluid flows inside a centrifugal pump in realtime is a challenging task that cannot be achieved with long-established methods like CFD due to their computational demands. We use a projection-based reduced order model (ROM)…

We present a fully non-intrusive parametric reduced-order modeling (PROM) framework for geometrically nonlinear structures subject to geometric variations. The method builds upon equation-driven Galerkin ROMs constructed from vibration…

Numerical Analysis · Mathematics 2025-12-09 Alexander Saccani , Paolo Tiso

Ultrasound imaging, as a noninvasive, real-time, and low-cost modality, plays a vital role in clinical diagnosis, catheterization intervention, and portable devices. With the development of transducer hardware and the continuous progress of…

Medical Physics · Physics 2025-07-22 Xuyang Chen , Mingtong Chen , Zhengbao Yang

The Discrete Ordinates Method (DOM) is widely used for velocity discretization in radiative transport simulations. However, DOM tends to exhibit the ray effect when the velocity discretization is not sufficiently refined, a limitation that…

Numerical Analysis · Mathematics 2025-10-07 Lei Li , Min Tang , Yuqi Yang
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