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Reduced Order Models (ROMs) form essential tools across engineering domains by virtue of their function as surrogates for computationally intensive digital twinning simulators. Although purely data-driven methods are available for ROM…

Computational Engineering, Finance, and Science · Computer Science 2025-04-14 Konstantinos Vlachas , Thomas Simpson , Anthony Garland , D. Dane Quinn , Charbel Farhat , Eleni Chatzi

We devise and analyze a reduced basis model order reduction (MOR) strategy for an abstract wave problem with vanishing initial conditions and a source term given by the product of a temporal Ricker wavelet and a spatial profile. Such wave…

Numerical Analysis · Mathematics 2026-02-18 Fernando Henriquez , Matthias Schlottbom

We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates a probing wave and measures the time resolved reflected wave. We…

Dynamical Systems · Mathematics 2021-08-04 Liliana Borcea , Vladimir Druskin , Jörn Zimmerling

In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach called MORe DWR (Model Order Rduction with Dual-Weighted…

Numerical Analysis · Mathematics 2023-04-04 Hendrik Fischer , Julian Roth , Thomas Wick , Ludovic Chamoin , Amelie Fau

We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for non-spinning compact binary coalescences, and we find that for accuracies of 99%…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Scott E. Field , Chad R. Galley , Frank Herrmann , Jan S. Hesthaven , Evan Ochsner , Manuel Tiglio

In this letter, we consider the multiple-input multiple-output (MIMO) radar waveform design in the presence of signal-dependent clutters and additive white Gaussian noise. By imposing the constant modulus constraint (CMC) and waveform…

Signal Processing · Electrical Eng. & Systems 2018-05-11 Chenglin Ren , Fan liu , Longfei Zhou , Jianming Zhou , Wu Luo , Shengzhi Yang

Rate-Distortion Optimized Quantization (RDOQ) has played an important role in the coding performance of recent video compression standards such as H.264/AVC, H.265/HEVC, VP9 and AV1. This scheme yields significant reductions in bit-rate at…

Machine Learning · Computer Science 2020-12-14 Dana Kianfar , Auke Wiggers , Amir Said , Reza Pourreza , Taco Cohen

The emerging generation of radio-interferometric (RI) arrays are set to form images of the sky with a new regime of sensitivity and resolution. This implies a significant increase in visibility data volumes, which for single-frequency…

Instrumentation and Methods for Astrophysics · Physics 2025-12-04 Olivier Leblanc , Chung San Chu , Laurent Jacques , Yves Wiaux

This work focuses on the space-time reduced-order modeling (ROM) method for solving large-scale uncertainty quantification (UQ) problems with multiple random coefficients. In contrast with the traditional space ROM approach, which performs…

Numerical Analysis · Mathematics 2021-11-15 Ruhui Jin , Francesco Rizzi , Eric Parish

This paper presents novel reconfigurable architectures for reducing the latency of recurrent neural networks (RNNs) that are used for detecting gravitational waves. Gravitational interferometers such as the LIGO detectors capture cosmic…

Parametric model order reduction using reduced basis methods can be an effective tool for obtaining quickly solvable reduced order models of parametrized partial differential equation problems. With speedups that can reach several orders of…

Numerical Analysis · Mathematics 2022-01-26 Mario Ohlberger , Stephan Rave

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

Post-training quantization (PTQ) enables effective model compression while preserving relatively high accuracy. Current weight-only PTQ methods primarily focus on the challenging sub-3-bit regime, where approaches often suffer significant…

Machine Learning · Computer Science 2026-01-28 Hongyaoxing Gu , Lijuan Hu , Liye Yu , Haowei Li , Fangfang Liu

Model order reduction (MOR) is crucial for the design process of integrated circuits. Specifically, the vast amount of passive RLCk elements in electromagnetic models extracted from physical layouts exacerbates the extraction time, the…

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

Broadband suppression of quantum noise below the Standard Quantum Limit (SQL) becomes a top-priority problem for the future generation of large-scale terrestrial detectors of gravitational waves, as the interferometers of the Advanced LIGO…

General Relativity and Quantum Cosmology · Physics 2015-03-06 N. V. Voronchev , S. P. Tarabrin , S. L. Danilishin

Model order reduction (MOR) methods that are designed to preserve structural features of a given full order model (FOM) often suffer from a lower accuracy when compared to their non-structure-preserving counterparts. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Paul Schwerdtner , Matthias Voigt

Gravitational wave Bayesian parameter inference involves repeated comparisons of GW data to generic candidate predictions. Even with algorithmically efficient methods like RIFT or reduced-order quadrature, the time needed to perform these…

Instrumentation and Methods for Astrophysics · Physics 2019-04-24 D. Wysocki , R. O'Shaughnessy , Y-L. L. Fang , Jacob Lange

The real-time monitoring of the structural displacement of the Vacuum Vessel (VV) of thermonuclear fusion devices caused by electromagnetic (EM) loads is of great interest. In this paper, Model Order Reduction (MOR) is applied to the…

Numerical Analysis · Mathematics 2024-05-03 Francesco Lucchini , Alessandro Frescura , Riccardo Torchio , Piergiorgio Alotto , Paolo Bettini

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

Numerical Analysis · Mathematics 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang