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Sound field reconstruction refers to the problem of estimating the acoustic pressure field over an arbitrary region of space, using only a limited set of measurements. Physics-informed neural networks have been adopted to solve the problem…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-05 Stefano Damiano , Toon van Waterschoot

We present a novel neural network architecture for the efficient prediction of sound fields in two and three dimensions. The network is designed to automatically satisfy the Helmholtz equation, ensuring that the outputs are physically…

Sound · Computer Science 2025-10-29 Matteo Calafà , Yuanxin Xia , Cheol-Ho Jeong

Accurate simulation of wave propagation in complex acoustic materials is crucial for applications in sound design, noise control, and material engineering. Traditional numerical solvers, such as finite element methods, are computationally…

Machine Learning · Computer Science 2025-10-14 Riccardo Fosco Gramaccioni , Christian Marinoni , Fabrizio Frezza , Aurelio Uncini , Danilo Comminiello

Sound field reconstruction (SFR) augments the information of a sound field captured by a microphone array. Conventional SFR methods using basis function decomposition are straightforward and computationally efficient, but may require more…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-15 Fei Ma , Sipei Zhao , Ian S. Burnett

Accurate estimation of the sound field around a rigid sphere necessitates adequate sampling on the sphere, which may not always be possible. To overcome this challenge, this paper proposes a method for sound field estimation based on a…

Audio and Speech Processing · Electrical Eng. & Systems 2023-07-27 Xingyu Chen , Fei Ma , Amy Bastine , Prasanga Samarasinghe , Huiyuan Sun

In this work we discuss the problem of identifying sound sources from pressure measurements with a Bayesian approach. The acoustics are modelled by the Helmholtz equation and the goal is to get information about the number, strength and…

Numerical Analysis · Mathematics 2019-01-16 Sebastian Engel , Dominik Hafemeyer , Christian Münch , Daniel Schaden

Solving the wave equation is one of the most (if not the most) fundamental problems we face as we try to illuminate the Earth using recorded seismic data. The Helmholtz equation provides wavefield solutions that are dimensionally reduced,…

Geophysics · Physics 2021-06-04 Tariq Alkhalifah , Chao Song , Umair bin Waheed , Qi Hao

This paper introduces a hybrid computational framework for the multi-frequency inverse source problem governed by the Helmholtz equation. By integrating a classical Fourier method with a deep convolutional neural network, we address the…

Analysis of PDEs · Mathematics 2026-01-05 Hao Chen , Yan Chang , Yukun Guo , Yuliang Wang

Deterministic neural operators perform well on many PDEs but can struggle with the approximation of high-frequency wave phenomena, where strong input-to-output sensitivity makes operator learning challenging, and spectral bias blurs…

Machine Learning · Computer Science 2026-02-05 Yicheng Zou , Samuel Lanthaler , Hossein Salahshoor

Transcranial ultrasound therapy is increasingly used for the non-invasive treatment of brain disorders. However, conventional numerical wave solvers are currently too computationally expensive to be used online during treatments to predict…

Computational Physics · Physics 2021-06-21 Antonio Stanziola , Simon R. Arridge , Ben T. Cox , Bradley E. Treeby

In ultrasound tomography, the speed of sound inside an object is estimated based on acoustic measurements carried out by sensors surrounding the object. An accurate forward model is a prominent factor for high-quality image reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-24 Janne Koponen , Timo Lähivaara , Jari Kaipio , Marko Vauhkonen

Accurate knowledge of acoustic surface admittance or impedance is essential for reliable wave-based simulations, yet its in situ estimation remains challenging due to noise, model inaccuracies, and restrictive assumptions of conventional…

Machine Learning · Computer Science 2026-04-10 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

This paper proposes a methodology to estimate stress in the subsurface by a hybrid method combining finite element modeling and neural networks. This methodology exploits the idea of obtaining a multi-frequency solution in the numerical…

Machine Learning · Computer Science 2020-08-27 Xavier Garcia , Adrian Rodriguez-Herrera

This paper proposes a fundamental answer to a frequently asked question in multimedia computing and machine learning: Do artifacts from perceptual compression contribute to error in the machine learning process and if so, how much? Our…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Gerald Friedland , Jingkang Wang , Ruoxi Jia , Bo Li

The study of sound propagation in a uniform duct having a mean flow has many applications, such as in the design of gas turbines, heating, ventilation and air conditioning ducts, automotive intake and exhaust systems, and in the modeling of…

Computational Engineering, Finance, and Science · Computer Science 2025-03-26 D. Veerababu , Prasanta K. Ghosh

From ancient to modern times, acoustic structures have been used to control the propagation of acoustic waves. However, the design of the acoustic structures has remained widely a time-consuming and computational resource-consuming…

Sound · Computer Science 2024-11-12 Xuecong Sun , Han Jia , Yuzhen Yang , Han Zhao , Yafeng Bi , Zhaoyong Sun , Jun Yang

In this paper, we propose a phase shift deep neural network (PhaseDNN), which provides a uniform wideband convergence in approximating high frequency functions and solutions of wave equations. The PhaseDNN makes use of the fact that common…

Machine Learning · Computer Science 2019-12-17 Wei Cai , Xiaoguang Li , Lizuo Liu

A method is presented for estimating and reconstructing the sound field within a room using physics-informed neural networks. By incorporating a limited set of experimental room impulse responses as training data, this approach combines…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Xenofon Karakonstantis , Diego Caviedes-Nozal , Antoine Richard , Efren Fernandez-Grande

A sound field estimation method based on a physics-informed convolutional neural network (PICNN) using spline interpolation is proposed. Most of the sound field estimation methods are based on wavefunction expansion, making the estimated…

Sound · Computer Science 2022-07-25 Kazuhide Shigemi , Shoichi Koyama , Tomohiko Nakamura , Hiroshi Saruwatari

Solving the wave equation is essential to seismic imaging and inversion. The numerical solution of the Helmholtz equation, fundamental to this process, often encounters significant computational and memory challenges. We propose an…

Geophysics · Physics 2025-04-01 Xinquan Huang , Tariq Alkhalifah
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