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We construct few deep generative models of gravitational waveforms based on the semi-supervising scheme of conditional autoencoders and their variational extensions. Once the training is done, we find that our best waveform model can…

Instrumentation and Methods for Astrophysics · Physics 2021-06-30 Chung-Hao Liao , Feng-Li Lin

We continue the program of constructing, within the Effective-One-Body (EOB) approach, high accuracy, faithful analytic waveforms describing the gravitational wave signal emitted by inspiralling and coalescing binary black holes (BHs). We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

We construct compact and high accuracy Reduced Basis (RB) representations of single and multiple quasinormal modes (QNMs). The RB method determines a hierarchical and relatively small set of the most relevant waveforms. We find that the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Sarah Caudill , Scott E. Field , Chad R. Galley , Frank Herrmann , Manuel Tiglio

The demand for long and accurate gravitational waveforms is increasing as we prepare for the next generation of detectors and seek to improve current waveform models. However, numerical relativity waveforms, while highly accurate, are often…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Joan Llobera-Querol , Sascha Husa , Maria de Lluc Planas

Physics-Informed Neural Networks (PINNs) have gained increasing attention for solving partial differential equations, including the Helmholtz equation, due to their flexibility and mesh-free formulation. However, their low-frequency bias…

Geophysics · Physics 2025-03-03 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Gregory Ashton , Sebastian Khan

Full-waveform inversion problems are usually formulated as optimization problems, where the forward-wave propagation operator $f$ maps the subsurface velocity structures to seismic signals. The existing computational methods for solving…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Yue Wu , Youzuo Lin

Gravitational observables for binary systems exhibit a simple polynomial dependence on the masses $m_1$, $m_2$ of the two scattering objects when they are written in terms of the appropriate kinematic variables in the post-Minkowskian (PM)…

High Energy Physics - Theory · Physics 2025-11-19 Carlo Heissenberg , Rodolfo Russo

Fast coverage of k-space is a major concern to speed up data acquisition in Magnetic Resonance Imaging (MRI) and limit image distortions due to long echo train durations. The hardware gradient constraints (magnitude, slew rate) must be…

Optimization and Control · Mathematics 2014-12-31 Nicolas Chauffert , Pierre Weiss , Jonas Kahn , Philippe CIUCIU

The coalescence of binary black holes (BBHs) provides a unique arena to test general relativity (GR) in the dynamical, strong-field regime. To this end, we present pSEOBNRv5PHM, a parametrized, multipolar, spin-precessing waveform model for…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Lorenzo Pompili , Elisa Maggio , Hector O. Silva , Alessandra Buonanno

In this paper, we test the performance of templates in detection and characterization of Spin-orbit resonant (SOR) binaries. We use precessing SEOBNRv3 waveforms as well as {\it four} numerical relativity (NR) waveforms to model GWs from…

The success of large language models has garnered widespread attention for model merging techniques, especially training-free methods which combine model capabilities within the parameter space. However, two challenges remain: (1) uniform…

Artificial Intelligence · Computer Science 2025-03-28 Jiaqi Han , Jingwen Ye , Shunyu Liu , Haofei Zhang , Jie Song , Zunlei Feng , Mingli Song

Calibration errors in the response function of a gravitational wave detector degrade its ability to detect and then to measure the properties of any detected signals. This paper derives the needed levels of calibration accuracy for each of…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Lee Lindblom

We present here a technique for developing a high-throughput algorithm to fit a combination of template pulse shapes while simultaneously subtracting parameterized background noise. By convolving the psuedoinverse of the least-squares fit…

Instrumentation and Detectors · Physics 2020-12-14 A. P. Jezghani , L. J. Broussard , C. B. Crawford

Online selection of optimal waveforms for target tracking with active sensors has long been a problem of interest. Many conventional solutions utilize an estimation-theoretic interpretation, in which a waveform-specific Cram\'{e}r-Rao lower…

Information Theory · Computer Science 2022-02-14 Charles E. Thornton , R. Michael Buehrer , Harpreet S. Dhillon , Anthony F. Martone

Radio map reconstruction is essential for enabling advanced applications, yet challenges such as complex signal propagation and sparse observational data hinder accurate reconstruction in practical scenarios. Existing methods often fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Haozhe Jia , Wenshuo Chen , Zhihui Huang , Lei Wang , Hongru Xiao , Nanqian Jia , Keming Wu , Songning Lai , Bowen Tian , Yutao Yue

We analyze numerical-relativity (NR) waveforms that cover nine orbits (18 gravitational-wave cycles) before merger of an equal-mass system with low eccentricity, with numerical uncertainties of 0.25 radians in the phase and less than 2% in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

Adaptive radar waveform design grounded in information-theoretic principles is critical for advancing cognitive radar performance in complex environments. This paper investigates the optimization of phase-coded waveforms under constant…

Signal Processing · Electrical Eng. & Systems 2025-05-01 Ruofeng Yu , Caiguang Zhang , Chenyang Luo , Mengdi Bai , Shangqu Yan , Wei Yang , Yaowen Fu

An attractive research direction for future communication systems is the design of new waveforms that can both support high throughputs and present advantageous signal characteristics. Although most modern systems use orthogonal…

Information Theory · Computer Science 2021-10-22 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis , Jean-Marie Gorce

Recent works in deep learning have shown that integrating differentiable physics simulators into the training process can greatly improve the quality of results. Although this combination represents a more complex optimization task than…

Machine Learning · Computer Science 2022-03-22 Patrick Schnell , Philipp Holl , Nils Thuerey