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Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

Metasurface-based radar absorbing structures (RAS) are highly preferred for applications like stealth technology, electromagnetic (EM) shielding, etc. due to their capability to achieve frequency selective absorption characteristics with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Vineetha Joy , Aditya Anand , Nidhi , Anshuman Kumar , Amit Sethi , Hema Singh

We study the imprints of new ultralight particles on the gravitational-wave signals emitted by binary black holes. Superradiant instabilities may create large clouds of scalar or vector fields around rotating black holes. The presence of a…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Daniel Baumann , Horng Sheng Chia , Rafael A. Porto , John Stout

We have developed a deep generative model that can produce accurate optical emission spectra and colour images of an ICP plasma using only the applied coil power, electrode power, pressure and gas flows as inputs -- essentially an empirical…

Plasma Physics · Physics 2023-06-27 Gregory A. Daly , Jonathan E. Fieldsend , Geoff Hassall , Gavin Tabor

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond

We investigate the effectiveness of a simple solution to the common problem of deep learning in medical image analysis with limited quantities of labeled training data. The underlying idea is to assign artificial labels to abundantly…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Nima Tajbakhsh , Yufei Hu , Junli Cao , Xingjian Yan , Yi Xiao , Yong Lu , Jianming Liang , Demetri Terzopoulos , Xiaowei Ding

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

Numerical Analysis · Mathematics 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Deep convolutional neural networks have demonstrated promising performance on image classification tasks, but the manual design process becomes more and more complex due to the fast depth growth and the increasingly complex topologies of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Bin Wang , Bing Xue , Mengjie Zhang

The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in Galerkin methods via element-scale quadrature formulas. In this paper, the methodology is applied to a…

Numerical Analysis · Mathematics 2020-09-14 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

\texttt{gwNRHME} is a framework that converts multi-modal (i.e., containing several spherical harmonic modes) quasi-circular waveforms into their eccentric counterparts, provided the quadrupolar eccentric mode is known, by exploiting…

In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

The widespread use of neural surrogates in automotive aerodynamics, enabled by datasets such as DrivAerML and DrivAerNet++, has primarily focused on bluff-body flows with large wakes. Extending these methods to aerospace, particularly in…

Computational Engineering, Finance, and Science · Computer Science 2026-02-04 Fabian Paischer , Leo Cotteleer , Yann Dreze , Richard Kurle , Dylan Rubini , Maurits Bleeker , Tobias Kronlachner , Johannes Brandstetter

Weakly-modelled searches for gravitational waves are essential for ensuring that all potential sources are accounted for in detection efforts, as they make minimal assumptions regarding source morphology. While these searches primarily…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Leigh Smith , Matteo Scialpi , Francesco di Clemente , Michał Bejger

Invertible neural networks are a recent technique in machine learning promising neural network architectures that can be run in forward and reverse mode. In this paper, we will be introducing invertible surrogate models that approximate…

A deep-learning-based surrogate model capable of predicting flow and geomechanical responses in CO2 storage operations is presented and applied. The 3D recurrent R-U-Net model combines deep convolutional and recurrent neural networks to…

Machine Learning · Computer Science 2021-05-05 Meng Tang , Xin Ju , Louis J. Durlofsky

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

Numerical Analysis · Mathematics 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Relativistic spin-orbit and spin-spin couplings has been shown to modify the gravitational waveforms expected from inspiraling binaries with a black hole and a neutron star. As a result inspiral signals may be missed due to significant…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Philippe Grandclement , Mia Ihm , Vassiliki Kalogera , Krzystof Belczynski

We describe a case study of translational research, applying interpretability techniques developed for computer vision to machine learning models used to search for and find gravitational waves. The models we study are trained to detect…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Mohammadtaher Safarzadeh , Asad Khan , E. A. Huerta , Martin Wattenberg

We present a simple method to track the precession of a black-hole-binary system, using only information from the gravitational-wave (GW) signal. Our method consists of locating the frame from which the magnitude of the $(\ell=2,|m|=2)$…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Patricia Schmidt , Mark Hannam , Sascha Husa , P. Ajith