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One use case of ``physics-informed neural networks'' (PINNs) is solution reconstruction, which aims to estimate the full-field state of a physical system from sparse measurements. Parameterized governing equations of the system are used in…

Computational Engineering, Finance, and Science · Computer Science 2025-05-09 Conor Rowan , Kurt Maute , Alireza Doostan

We consider an inverse shape problem for recovering an unknown simply supported obstacle in two dimensions from near--field point--source measurements for the biharmonic Helmholtz equation. The measured data consist of the scattered field…

Analysis of PDEs · Mathematics 2026-03-31 Isaac Harris , Andreas Kleefeld

We propose a practical framework to synthesize the broadband sound-field on a small rigid surface based on the physics of sound propagation. The sound-field is generated as a composite map of two components: the room component and the…

Sound · Computer Science 2024-07-16 Mohamed F. Mansour

Ambisonics is an established framework to capture, process, and reproduce spatial sound fields based on its spherical harmonics representation. We propose a generalization of conventional spherical ambisonics to the spheroidal coordinate…

Sound · Computer Science 2023-01-06 Shoken Kaneko

Clipping or saturation in audio signals is a very common problem in signal processing, for which, in the severe case, there is still no satisfactory solution. In such case, there is a tremendous loss of information, and traditional methods…

A method for musical audio synthesis using autoencoding neural networks is proposed. The autoencoder is trained to compress and reconstruct magnitude short-time Fourier transform frames. The autoencoder produces a spectrogram by activating…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-29 Joseph Colonel , Christopher Curro , Sam Keene

We present a framework based on neural networks to extract music scores directly from polyphonic audio in an end-to-end fashion. Most previous Automatic Music Transcription (AMT) methods seek a piano-roll representation of the pitches, that…

Sound · Computer Science 2019-10-29 Miguel A. Román , Antonio Pertusa , Jorge Calvo-Zaragoza

Seismic wave forward and inverse modeling are fundamental tools for subsurface imaging and geological hazard assessment. Conventional grid-based numerical methods, such as finite-difference and finite-element approaches, often require dense…

Geophysics · Physics 2026-01-23 Chaohua Liang , Xingliang Peng , Jun Matsushima

In addition to being extremely non-linear, modern problems require millions if not billions of parameters to solve or at least to get a good approximation of the solution, and neural networks are known to assimilate that complexity by…

Audio and Speech Processing · Electrical Eng. & Systems 2022-01-14 Habib Ben Abdallah , Christopher J. Henry , Sheela Ramanna

Solving the wave equation numerically constitutes the majority of the computational cost for applications like seismic imaging and full waveform inversion. An alternative approach is to solve the frequency domain Helmholtz equation, since…

Computational Physics · Physics 2021-10-18 Ali Al-Safwan , Chao Song , Umair bin Waheed

To obtain the initial pressure from the collected data on a planar sensor arrangement in photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

The demand for realistic virtual immersive audio continues to grow, with Head-Related Transfer Functions (HRTFs) playing a key role. HRTFs capture how sound reaches our ears, reflecting unique anatomical features and enhancing spatial…

Sound · Computer Science 2026-01-26 Xuyi Hu , Jian Li , Lorenzo Picinali , Aidan O. T. Hogg

Neural audio codecs (NACs) typically encode the short-term energy (gain) and normalized structure (shape) of speech/audio signals jointly within the same latent space. As a result, they are poorly robust to a global variation of the input…

Sound · Computer Science 2026-02-18 Samir Sadok , Laurent Girin , Xavier Alameda-Pineda

A novel framework, called InterGridNet, is introduced, leveraging a shallow RawNet model for geolocation classification of Electric Network Frequency (ENF) signatures in the SP Cup 2016 dataset. During data preparation, recordings are…

We present CS-SHRED, a novel deep learning architecture that integrates Compressed Sensing (CS) into a Shallow Recurrent Decoder (SHRED) to reconstruct spatiotemporal dynamics from incomplete, compressed, or corrupted data. Our approach…

Machine Learning · Computer Science 2025-08-01 Romulo B. da Silva , Diego Passos , Cássio M. Oishi , J. Nathan Kutz

We model acoustic dynamics in space and time from synthetic sensor data. The tasks are (i) to predict and extrapolate the spatiotemporal dynamics, and (ii) reconstruct the acoustic state from partial observations. To achieve this, we…

Fluid Dynamics · Physics 2024-11-12 Defne Ege Ozan , Luca Magri

Speech enhancement is critical for improving speech intelligibility and quality in various audio devices. In recent years, deep learning-based methods have significantly improved speech enhancement performance, but they often come with a…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-08 Xiang Hao , Chenxiang Ma , Qu Yang , Jibin Wu , Kay Chen Tan

(short version abstract, full in article)High-fidelity flow field reconstruction is important in fluid dynamics, but it is challenged by sparse and spatiotemporally incomplete sensor measurements, as well as failures of pre-deployed…

Fluid Dynamics · Physics 2026-03-11 Renjie Xiao , Bingteng Sun , Yiling Chen , Lin Lu , Qiang Du , Junqiang Zhu

Spatial audio formats like Ambisonics are playback device layout-agnostic and well-suited for applications such as teleconferencing and virtual reality. Conventional Ambisonic encoding methods often rely on spherical microphone arrays for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-17 Yue Qiao , Vinay Kothapally , Meng Yu , Dong Yu

In this work we present a method for unsupervised learning of audio representations, focused on the task of singing voice separation. We build upon a previously proposed method for learning representations of time-domain music signals with…

Sound · Computer Science 2021-01-11 Stylianos Ioannis Mimilakis , Konstantinos Drossos , Gerald Schuller