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Studying physics-informed neural networks (PINNs) for modeling partial differential equations to solve the acoustic wave field has produced promising results for simple geometries in two-dimensional domains. One option is to compute the…

Computational Engineering, Finance, and Science · Computer Science 2025-06-16 Stefan Schoder , Aneta Furmanová , Viktor Hruška

The sound field separation methods can separate the target field from the interfering noises, facilitating the study of the acoustic characteristics of the target source, which is placed in a noisy environment. However, most of the existing…

Audio and Speech Processing · Electrical Eng. & Systems 2019-07-24 Fei Ma , Wen Zhang , Thushara D. Abhayapala

In this work, we introduce a spatio-temporal kernel for Gaussian process (GP) regression-based sound field estimation. Notably, GPs have the attractive property that the sound field is a linear function of the measurements, allowing the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-08 David Sundström , Shoichi Koyama , Andreas Jakobsson

Estimating the sound absorption in situ relies on accurately describing the measured sound field. Evidence suggests that modeling the reflection of impinging spherical waves is important, especially for compact measurement systems. This…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-18 Eric Brandao , William Fonseca , Paulo Mareze , Carlos Resende , Gabriel Azzuz , Joao Pontalti , Efren Fernandez-Grande

In this paper, the frequency-domain sound field is regarded as an element of some band-limited function space, and a representation of the field as a linear combination of the reproducing kernel in that space is proposed. This model has the…

Sound · Computer Science 2024-05-24 Takahiro Iwami , Akira Omoto

Sound field estimation methods based on kernel ridge regression have proven effective, allowing for strict enforcement of physical properties, in addition to the inclusion of prior knowledge such as directionality of the sound field. These…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-09 Jesper Brunnström , Martin Bo Møller , Jan Østergaard , Shoichi Koyama , Toon van Waterschoot , Marc Moonen

Exterior sound field interpolation is a challenging problem that often requires specific array configurations and prior knowledge on the source conditions. We propose an interpolation method based on Gaussian processes using a point source…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-06 Juliano G. C. Ribeiro , Ryo Matsuda , Jorge Trevino

The problem of resolving spherical harmonic components from numerical data defined on a rectangular grid has many applications, particularly for the problem of gravitational radiation extraction. A novel method due to Misner improves on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mark E. Rupright

We develop an efficient numerical method for calculating the image stress field induced by spherical voids in materials. The method is applied to dislocation-void interactions in dislocation dynamics simulations. We obtain a complete set of…

Computational Physics · Physics 2019-02-14 Yifan Wang , Xiaohan Zhang , Wei Cai

Sound field reproduction methods based on numerical optimization, which aim to minimize the error between synthesized and desired sound fields, are useful in many practical scenarios because of their flexibility in the array geometry of…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-23 Shoichi Koyama , Keisuke Kimura , Natsuki Ueno

Head-related transfer function (HRTF) capture the information that a person uses to localize sound sources in space, and thus is crucial for creating personalized virtual acoustic experiences. However, practical HRTF measurement systems may…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-12 Fei Ma , Thushara D. Abhayapala , Prasanga N. Samarasinghe , Xingyu Chen

Machine learning and neural networks have advanced numerous research domains, but challenges such as large training data requirements and inconsistent model performance hinder their application in certain scientific problems. To overcome…

Machine Learning · Computer Science 2025-12-11 Hanwen Bi , Thushara D. Abhayapala

Solutions to the stochastic wave equation on the unit sphere are approximated by spectral methods. Strong, weak, and almost sure convergence rates for the proposed numerical schemes are provided and shown to depend only on the smoothness of…

Numerical Analysis · Mathematics 2023-12-06 David Cohen , Annika Lang

We propose the use of physics-informed neural networks for solving the shallow-water equations on the sphere in the meteorological context. Physics-informed neural networks are trained to satisfy the differential equations along with the…

Computational Physics · Physics 2024-09-19 Alex Bihlo , Roman O. Popovych

We propose the Physics-Informed Neural Network-driven Sparse Field Discretization method (PINN-SFD), a novel self-supervised, physics-informed deep learning approach for addressing the Near-Field Acoustic Holography (NAH) problem. Unlike…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-05 Xinmeng Luan , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

Most existing sound field reconstruction methods target point-to-region reconstruction, interpolating the Acoustic Transfer Functions (ATFs) between a fixed-position sound source and a receiver region. The applicability of these methods is…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-28 Xingyu Chen , Sipei Zhao , Fei Ma , Eva Cheng , Ian S. Burnett

Physics-informed neural networks offered an alternate way to solve several differential equations that govern complicated physics. However, their success in predicting the acoustic field is limited by the vanishing-gradient problem that…

Machine Learning · Computer Science 2025-03-27 D. Veerababu , Prasanta K. Ghosh

The sampling of sound fields involves the measurement of spatially dependent room impulse responses, where the Nyquist-Shannon sampling theorem applies in both the temporal and spatial domain. Therefore, sampling inside a volume of interest…

Sound · Computer Science 2016-09-30 Fabrice Katzberg , Radoslaw Mazur , Marco Maass , Philipp Koch , Alfred Mertins

We consider the sound ranging, or source localization, problem --- find the unknown source-point from known moments when the spherical wave of linearly, with time, increasing radius reaches known sensor-points --- in some non-proper metric…

Functional Analysis · Mathematics 2019-11-01 Sergij V. Goncharov

In this study, we introduce a method for estimating sound fields in reverberant environments using a conditional invertible neural network (CINN). Sound field reconstruction can be hindered by experimental errors, limited spatial data,…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-11 Xenofon Karakonstantis , Efren Fernandez-Grande , Peter Gerstoft