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The physics-informed neural network (PINN) is capable of recovering partial differential equation (PDE) coefficients that remain constant throughout the spatial domain directly from physical measurements. In this work, we propose a…

Machine Learning · Computer Science 2023-11-27 Ruixian Liu , Peter Gerstoft

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

Accurate reconstruction of magnetic fields in inaccessible regions is vital for many high-precision experiments in physics. Traditional methods, such as spherical harmonic expansion, often suffer from truncation errors that limit their…

Instrumentation and Detectors · Physics 2026-05-26 Haohan Yu , Zhanxu Hao , Bingzhi Li , Zejia Lu , Xiang Chen , Liang Li

Conventional multiple-point active noise control (ANC) systems require placing error microphones within the region of interest (ROI), inconveniencing users. This paper designs a feasible monitoring microphone arrangement placed outside the…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-27 Yile Angela Zhang , Fei Ma , Thushara Abhayapala , Prasanga Samarasinghe , Amy Bastine

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

The method of superposition is proposed in combination with a sparse $\ell_1$ optimisation algorithm with the aim of finding a sparse basis to accurately reconstruct the structural vibrations of a radiating object from a set of acoustic…

Computational Physics · Physics 2016-01-20 Nadia M. Abusag , David J. Chappell

This study devised a physics-informed neural network (PINN) framework to solve the wave equation for acoustic resonance analysis. The proposed analytical model, ResoNet, minimizes the loss function for periodic solutions and conventional…

Sound · Computer Science 2024-07-09 Kazuya Yokota , Takahiko Kurahashi , Masajiro Abe

Acousto-optic sensing provides an alternative approach to traditional microphone arrays by shedding light on the interaction of light with an acoustic field. Sound field reconstruction is a fascinating and advanced technique used in…

Sound · Computer Science 2025-07-01 Phuc Duc Nguyen , Kenji Ishikawa , Noboru Harada , Takehiro Moriya

This paper presents a deep learning-based approach for the spatio-temporal reconstruction of sound fields using Generative Adversarial Networks (GANs). The method utilises a plane wave basis and learns the underlying statistical…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-02 Xenofon Karakonstantis , Efren Fernandez-Grande

The successful reconstruction of perceptual experiences from human brain activity has provided insights into the neural representations of sensory experiences. However, reconstructing arbitrary sounds has been avoided due to the complexity…

Sound · Computer Science 2023-06-21 Jong-Yun Park , Mitsuaki Tsukamoto , Misato Tanaka , Yukiyasu Kamitani

Most soundfield synthesis approaches deal with extensive and regular loudspeaker arrays, which are often not suitable for home audio systems, due to physical space constraints. In this article we propose a technique for soundfield synthesis…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-09 Luca Comanducci , Fabio Antonacci , Augusto Sarti

Reconstructing the sound field in a room is an important task for several applications, such as sound control and augmented (AR) or virtual reality (VR). In this paper, we propose a data-driven generative model for reconstructing the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-22 Federico Miotello , Luca Comanducci , Mirco Pezzoli , Alberto Bernardini , Fabio Antonacci , Augusto Sarti

Standardized laboratory characterizations for absorbing materials rely on idealized sound field assumptions, which deviate largely from real-life conditions. Consequently, \emph{in-situ} acoustic characterization has become essential for…

Sound · Computer Science 2026-02-13 Yuanxin Xia , Xinyan Li , Matteo Calafà , Allan P. Engsig-Karup , Cheol-Ho Jeong

Ambisonics, a popular format of spatial audio, is the spherical harmonic (SH) representation of the plane wave density function of a sound field. Many algorithms operate in the SH domain and utilize the Ambisonics as their input signal. The…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-01 Bar Shaybet , Anurag Kumar , Vladimir Tourbabin , Boaz Rafaely

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

We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Marc Andrew Valdez , Alex J. Yuffa , Michael B. Wakin

Physics-Informed Neural Networks (PINNs) have shown promise in solving partial differential equations (PDEs), including the frequency-domain Helmholtz equation. However, standard training of PINNs using gradient descent (GD) suffers from…

Machine Learning · Computer Science 2025-04-24 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Wavefield reconstruction inversion (WRI) formulates a PDE-constrained optimization problem to reduce cycle skipping in full-waveform inversion (FWI). WRI often requires expensive matrix inversions to reconstruct frequency-domain wavefields.…

Geophysics · Physics 2022-05-04 Chao Song , Tariq Alkhalifah

We consider the inverse problem of reconstructing general solutions to the Helmholtz equation on some domain $\Omega$ from their values at scattered points $x_1,\dots,x_n\subset \Omega$. This problem typically arises when sampling acoustic…

Numerical Analysis · Mathematics 2014-04-04 Gilles Chardon , Albert Cohen , Laurent Daudet

Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti