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The area of study concerning the estimation of spatial sound, i.e., the distribution of a physical quantity of sound such as acoustic pressure, is called sound field estimation, which is the basis for various applied technologies related to…

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

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

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

Recent developments in acoustic signal processing have seen the integration of deep learning methodologies, alongside the continued prominence of classical wave expansion-based approaches, particularly in sound field reconstruction.…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-24 Marco Olivieri , Xenofon Karakonstantis , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti , Efren Fernandez-Grande

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

Solving the wave equation is fundamental for geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics-informed convolutional…

Geophysics · Physics 2025-07-23 Xiao Ma , Tariq Alkhalifah

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

Big-data-based artificial intelligence (AI) supports profound evolution in almost all of science and technology. However, modeling and forecasting multi-physical systems remain a challenge due to unavoidable data scarcity and noise.…

Machine Learning · Computer Science 2022-02-08 Pengpeng Shi , Zhi Zeng , Tianshou Liang

Realistic sound is essential in virtual environments, such as computer games and mixed reality. Efficient and accurate numerical methods for pre-calculating acoustics have been developed over the last decade; however, pre-calculating…

Sound · Computer Science 2023-08-11 Nikolas Borrel-Jensen , Allan P. Engsig-Karup , Cheol-Ho Jeong

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

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

We propose a method for estimating the magnitude distribution of an acoustic field from spatially sparse magnitude measurements. Such a method is useful when phase measurements are unreliable or inaccessible. Physics-informed neural…

Sound · Computer Science 2026-01-28 Karl Schrader , Shoichi Koyama , Tomohiko Nakamura , Mirco Pezzoli

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

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

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

Physics-informed Neural Networks (PINNs) is a method for numerical simulation that incorporates a loss function corresponding to the governing equations into a neural network. While PINNs have been explored for their utility in inverse…

Sound · Computer Science 2024-06-18 Kazuya Yokota , Masataka Ogura , Masajiro Abe

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

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

Spatial sound field interpolation relies on suitable models to both conform to available measurements and predict the sound field in the domain of interest. A suitable model can be difficult to determine when the spatial domain of interest…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-30 Manuel Hahmann , Efren Fernandez-Grande
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