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A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically. The numerical precision of this approach is illustrated…

Computational Physics · Physics 2019-10-02 Q. Sun , E. Klaseboer , B. C. Khoo , D. Y. C. Chan

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

In this paper, a deep-learning-based method for sound field reconstruction is proposed. It is shown the possibility to reconstruct the magnitude of the sound pressure in the frequency band 30-300 Hz for an entire room by using a very low…

Sound · Computer Science 2020-08-07 Francesc Lluís , Pablo Martínez-Nuevo , Martin Bo Møller , Sven Ewan Shepstone

Photoacoustic tomography seeks to reconstruct an acoustic initial pressure distribution from the measurement of the ultrasound waveforms. Conventional methods assume a-prior knowledge of the sound speed distribution, which practically is…

Image and Video Processing · Electrical Eng. & Systems 2019-09-16 Hongming Shan , Christopher Wiedeman , Ge Wang , Yang Yang

In this study, we analyzed the problem of accelerating the linear average consensus algorithm for complex networks. We propose a data-driven approach to tuning the weights of temporal (i.e., time-varying) networks using deep learning…

Optimization and Control · Mathematics 2023-08-29 Masako Kishida , Masaki Ogura , Yuichi Yoshida , Tadashi Wadayama

Neural networks have emerged as a tool for solving differential equations in many branches of engineering and science. But their progress in frequency domain acoustics is limited by the vanishing gradient problem that occurs at higher…

Computational Engineering, Finance, and Science · Computer Science 2024-05-09 D. Veerababu , Prasanta K. Ghosh

The Helmholtz equation is fundamental to wave modeling in acoustics, electromagnetics, and seismic imaging, yet high-frequency regimes remain challenging due to the ``pollution effect''. We propose FD-MGDL, an adaptive framework integrating…

Numerical Analysis · Mathematics 2026-02-25 Peiyao Zhao , Rui Wang , Tingting Wu , Yuesheng Xu

As an important part of the power system, power load forecasting directly affects the national economy. The data shows that improving the load forecasting accuracy by 0.01% can save millions of dollars for the power industry. Therefore,…

Machine Learning · Computer Science 2020-06-01 Zhifang Liao , Haihui Pan , Qi Zeng , Xiaoping Fan , Yan Zhang , Song Yu

Hybrid aeroacoustic methods seek for computational efficiency and robust noise prediction. Using already existing aeroacoustic wave equations, we propose a general hybrid aeroacoustic method, based on compressible source data. The main…

Fluid Dynamics · Physics 2020-06-08 Stefan Schoder , Manfred Kaltenbacher

Recurrent neural network architectures can have useful computational properties, with complex temporal dynamics and input-sensitive attractor states. However, evaluation of recurrent dynamic architectures requires solution of systems of…

Neural and Evolutionary Computing · Computer Science 2019-11-18 Dylan Richard Muir

Landmark universal function approximation results for neural networks with trained weights and biases provided the impetus for the ubiquitous use of neural networks as learning models in neuroscience and Artificial Intelligence (AI). Recent…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Ezekiel Williams , Alexandre Payeur , Avery Hee-Woon Ryoo , Thomas Jiralerspong , Matthew G. Perich , Luca Mazzucato , Guillaume Lajoie

Fast-turn around methods to predict airfoil trailing-edge noise are crucial for incorporating noise limitations into design optimization loops of several applications. Among these aeroacoustic predictive models, Amiet's theory offers the…

Boundary element methods for the Helmholtz equation lead to large dense matrices that can only be handled if efficient compression techniques are used. Directional compression techniques can reach good compression rates even for…

Numerical Analysis · Mathematics 2020-11-03 Steffen Börm , Christina Börst

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

This thesis addresses the technical challenges of applying machine learning to understand and interpret medical audio signals. The sounds of our lungs, heart, and voice convey vital information about our health. Yet, in contemporary…

Sound · Computer Science 2025-06-18 Charles C Onu

To improve sound quality in hearing devices, the hearing device output should be appropriately equalized. To achieve optimal individualized equalization typically requires knowledge of all transfer functions between the source, the hearing…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-05 Henning Schepker , Reinhild Rohden , Florian Denk , Birger Kollmeier , Matthias Blau , Simon Doclo

The present paper introduces a deep neural network (DNN) for predicting the instantaneous loudness of a sound from its time waveform. The DNN was trained using the output of a more complex model, called the Cambridge loudness model. While a…

Audio and Speech Processing · Electrical Eng. & Systems 2019-05-28 Josef Schlittenlacher , Richard E. Turner , Brian C. J. Moore

We analyse and compare various empirical models of wall pressure spectra beneath turbulent boundary layers and propose an alternative machine learning approach using Artificial Neural Networks (ANN). The analysis and the training of the ANN…

Fluid Dynamics · Physics 2022-03-14 J. Dominique , J. Van den Berghe , C. Schram , M. A. Mendez

We introduce a new audio processing technique that increases the sampling rate of signals such as speech or music using deep convolutional neural networks. Our model is trained on pairs of low and high-quality audio examples; at test-time,…

Sound · Computer Science 2017-08-03 Volodymyr Kuleshov , S. Zayd Enam , Stefano Ermon

Two sound field reproduction methods, weighted pressure matching and weighted mode matching, are theoretically and experimentally compared. The weighted pressure and mode matching are a generalization of conventional pressure and mode…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-24 Shoichi Koyama , Keisuke Kimura , Natsuki Ueno