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Recently deep learning and machine learning approaches have been widely employed for various applications in acoustics. Nonetheless, in the area of sound field processing and reconstruction classic methods based on the solutions of wave…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-07 Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

Mesh-based simulations provide high-fidelity solutions to partial differential equations (PDEs), but achieving such accuracy typically requires fine meshes, leading to substantial computational overhead. Super-resolution techniques aim to…

Machine Learning · Computer Science 2026-05-12 Jiyeon Kim , Youngjoon Hong , Won-Yong Shin

Accurately decoding human motion intentions from surface electromyography (sEMG) is essential for myoelectric control and has wide applications in rehabilitation robotics and assistive technologies. However, existing sEMG-based motion…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Wending Heng , Chaoyuan Liang , Yihui Zhao , Zhiqiang Zhang , Glen Cooper , Zhenhong Li

Discovering the underlying behavior of complex systems is an important topic in many science and engineering disciplines. In this paper, we propose a novel neural network framework, finite difference neural networks (FDNet), to learn…

Machine Learning · Statistics 2020-06-04 Zheng Shi , Nur Sila Gulgec , Albert S. Berahas , Shamim N. Pakzad , Martin Takáč

In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) based algorithms. We construct a deep learning framework with…

Numerical Analysis · Mathematics 2025-09-03 K. Murari , P. Roul , S. Sundar

Geometric shape features have been widely used as strong predictors for image classification. Nevertheless, most existing classifiers such as deep neural networks (DNNs) directly leverage the statistical correlations between these shape…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Tonmoy Hossain , Jing Ma , Jundong Li , Miaomiao Zhang

Modeling concentric tube robots (CTRs) involves complex nonlinear continuum mechanics, and despite recent progress, physics-based models often lack an accurate representation of the experimental setups. To overcome these limitations, deep…

Robotics · Computer Science 2026-05-14 Navid Feizi , Filipe C. Pedrosa , Rajni V. Patel , Jagadeesan Jayender

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

Computational Engineering, Finance, and Science · Computer Science 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

Fluid Dynamics · Physics 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

Numerical Analysis · Mathematics 2024-11-20 Tim De Ryck , Siddhartha Mishra

Over the past few years, neural network methods have evolved in various directions for approximating partial differential equations (PDEs). A promising new development is the integration of neural networks with classical numerical…

Numerical Analysis · Mathematics 2025-07-10 Georgios Grekas , Charalambos G. Makridakis , Tristan Pryer

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are…

We propose physics-informed holomorphic neural networks (PIHNNs) as a method to solve boundary value problems where the solution can be represented via holomorphic functions. Specifically, we consider the case of plane linear elasticity…

Computational Engineering, Finance, and Science · Computer Science 2024-09-30 Matteo Calafà , Emil Hovad , Allan P. Engsig-Karup , Tito Andriollo

For an ensemble of nonlinear systems that model, for instance, molecules or photonic systems, we propose a method that finds efficiently the configuration that has prescribed transfer properties. Specifically, we use physics-informed…

Computational Physics · Physics 2021-08-11 G. D. Barmparis , G. P. Tsironis

In a finite element analysis, using a large number of grids is important to obtain accurate results, but is a resource-consuming task. Aiming to real-time simulation and optimization, it is desired to obtain fine grid analysis results…

Machine Learning · Computer Science 2022-06-03 Kazuo Yonekura , Kento Maruoka , Kyoku Tyou , Katsuyuki Suzuki

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Despite the rapid progress of neuromorphic computing, inadequate capacity and insufficient representation power of spiking neural networks (SNNs) severely restrict their application scope in practice. Residual learning and shortcuts have…

Neural and Evolutionary Computing · Computer Science 2023-03-13 Yifan Hu , Lei Deng , Yujie Wu , Man Yao , Guoqi Li

We present a novel class of Physics-Informed Neural Networks that is formulated based on the principles of Evidential Deep Learning, where the model incorporates uncertainty quantification by learning parameters of a higher-order…

Machine Learning · Computer Science 2025-01-28 Hai Siong Tan , Kuancheng Wang , Rafe McBeth

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche