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This paper studies the $d$-dimensional extension of a fictitious domain penalization technique that we previously proposed for Neumann or Robin boundary conditions. We apply Droniou's approach for non-coercive linear elliptic problems to…

Analysis of PDEs · Mathematics 2024-07-18 Bouchra Bensiali , Jacques Liandrat

Physics-informed neural networks offered an alternate way to solve several differential equations that govern complicated physics. However, their success in predicting the acoustic field is limited by the vanishing-gradient problem that…

Machine Learning · Computer Science 2025-03-27 D. Veerababu , Prasanta K. Ghosh

We solve acoustic scattering problems by means of the isogeometric boundary integral equation method. In order to avoid spurious modes, we apply the combined field integral equations for either sound-hard scatterers or sound-soft…

Numerical Analysis · Mathematics 2023-06-21 Jürgen Dölz , Helmut Harbrecht , Michael Multerer

Building extraction $-$ needed for inventory management and planning of urban environment $-$ is affected by the misalignment between labels and off-nadir source imagery in training data. Teacher-Student learning of noise-tolerant…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Bipul Neupane , Jagannath Aryal , Abbas Rajabifard

Machine learning offers a largely unexplored avenue for improving noisy disordered devices in physics using automated algorithms. Through simulations that include disorder in physical devices, particularly quantum devices, there is…

Disordered Systems and Neural Networks · Physics 2025-01-22 Jacob R. Taylor , Sankar Das Sarma

This paper presents a novel approach for the output range estimation problem in Deep Neural Networks (DNNs) by integrating a Simulated Annealing (SA) algorithm tailored to operate within constrained domains and ensure convergence towards…

Machine Learning · Computer Science 2026-01-28 Helder Rojas , Nilton Rojas , Espinoza J. B. , Luis Huamanchumo

We consider the problem of reconstructing the shape of an impenetrable sound-soft obstacle from scattering measurements. The input data is assumed to be the far-field pattern generated when a plane wave impinges on an unknown obstacle from…

Numerical Analysis · Mathematics 2015-05-28 Carlos Borges , Leslie Greengard

We develop a linearized boundary control method for the inverse boundary value problem of determining the damping coefficient in the damped wave equation. The objective is to reconstruct an unknown perturbation in a known background damping…

Analysis of PDEs · Mathematics 2026-03-11 Tianyu Yang , Yang Yang

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

In this work, a parameterized eigenvalue problem is analyzed for a phononic array in a 2D stress wave scattering setup, and a corresponding sensing application of this system is proposed to achieve source angle localization. The phononic…

Applied Physics · Physics 2021-11-02 Weidi Wang , Amir Ashkan Mokhtari , Ankit Srivastava , Alireza V. Amirkhizi

Deep learning-based methods that jointly perform the task of acoustic echo and noise reduction (AENR) often require high memory and computational resources, making them unsuitable for real-time deployment on low-resource platforms such as…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-29 Shrishti Saha Shetu , Naveen Kumar Desiraju , Jose Miguel Martinez Aponte , Emanuël A. P. Habets , Edwin Mabande

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

A novel overlapping domain decomposition splitting algorithm based on a Crank-Nisolson method is developed for the stochastic nonlinear Schroedinger equation driven by a multiplicative noise with non-periodic boundary conditions. The…

Numerical Analysis · Mathematics 2023-09-08 Lihai Ji

We propose a Randomised Subspace Gauss-Newton (R-SGN) algorithm for solving nonlinear least-squares optimization problems, that uses a sketched Jacobian of the residual in the variable domain and solves a reduced linear least-squares on…

Optimization and Control · Mathematics 2022-11-11 Coralia Cartis , Jaroslav Fowkes , Zhen Shao

Untrained neural networks (UNNs) offer high-fidelity electromagnetic inverse scattering reconstruction but are computationally limited by high-dimensional spatial-domain optimization. We propose a Real-Time Physics-Driven Fourier-Spectral…

Machine Learning · Computer Science 2026-02-17 Yutong Du , Zicheng Liu , Yi Huang , Bazargul Matkerim , Bo Qi , Yali Zong , Peixian Han

Accurate segmentation is a crucial step in medical image analysis and applying supervised machine learning to segment the organs or lesions has been substantiated effective. However, it is costly to perform data annotation that provides…

Computer Vision and Pattern Recognition · Computer Science 2021-10-29 Yunxiang Li , Jingxiong Li , Ruilong Dan , Shuai Wang , Kai Jin , Guodong Zeng , Jun Wang , Xiangji Pan , Qianni Zhang , Huiyu Zhou , Qun Jin , Li Wang , Yaqi Wang

Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in length scales, causing difficulties with meshing and…

Numerical Analysis · Mathematics 2021-11-23 Alex Viguerie , Silvia Bertoluzza , Alessandro Veneziani , Ferdinando Auricchio

Self-supervised denoising has attracted widespread attention due to its ability to train without clean images. However, noise in real-world scenarios is often spatially correlated, which causes many self-supervised algorithms that assume…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Shiyan Chen , Jiyuan Zhang , Zhaofei Yu , Tiejun Huang

We propose a novel Neural Steering technique that adapts the target area of a spatial-aware multi-microphone sound source separation algorithm during inference without the necessity of retraining the deep neural network (DNN). To achieve…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-23 Martin Strauss , Wolfgang Mack , María Luis Valero , Okan Köpüklü

Spiking neural network (SNN) is studied in multidisciplinary domains to (i) enable order-of-magnitudes energy-efficient AI inference and (ii) computationally simulate neuro-scientific mechanisms. The lack of discrete theory obstructs the…

Neural and Evolutionary Computing · Computer Science 2024-07-03 Hyunseok Oh , Youngki Lee
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