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During and after a course of therapy, imaging is routinely used to monitor the disease progression and assess the treatment responses. Despite of its significance, reliably capturing and predicting the spatial-temporal anatomic changes from…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Liang Qiu , Liyue Shen , Lianli Liu , Junyan Liu , Yizheng Chen , Lei Xing

The integration of Scientific Machine Learning (SciML) techniques with uncertainty quantification (UQ) represents a rapidly evolving frontier in computational science. This work advances Physics-Informed Neural Networks (PINNs) by…

Machine Learning · Statistics 2025-12-30 Georgios Arampatzis , Stylianos Katsarakis , Charalambos Makridakis

Partial differential equations (PDEs) on surfaces are fundamental to scientific computing and geometry processing. A popular approach to solving PDEs on surfaces is the finite element method (FEM), where the surface is divided into discrete…

Graphics · Computer Science 2026-05-27 Pranav Jain , Navami Kairanda , Peter Yichen Chen , Oded Stein

We present an application of Physics-Informed Neural Networks to handle MultiPhase-Field simulations of microstructure evolution. It has been showcased that a combination of optimization techniques extended and adapted from the PINNs…

Materials Science · Physics 2024-09-04 Seifallah Elfetni , Reza Darvishi Kamachali

Artificial neural networks (ANNs), which are inspired by the brain, are a central pillar in the ongoing breakthrough in artificial intelligence. In recent years, researchers have examined mechanical implementations of ANNs, denoted as…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Eran Ben-Haim , Sefi Givli , Yizhar Or , Amir Gat

In this work, we have applied physics-informed neural networks (PINN) for solving mesh deformation problems. We used the collocation PINN method to capture the new positions of the vertex nodes while preserving the connectivity information.…

Fluid Dynamics · Physics 2023-01-18 Atakan Aygun , Romit Maulik , Ali Karakus

Deep neural networks (DNNs), especially physics-informed neural networks (PINNs), have recently become a new popular method for solving forward and inverse problems governed by partial differential equations (PDEs). However, these methods…

Machine Learning · Computer Science 2023-10-26 Wenbo Cao , Weiwei Zhang

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Physics-informed neural networks (PINNs) have emerged as a promising mesh-free paradigm for solving partial differential equations, yet adoption in science and engineering is limited by slow training and modest accuracy relative to modern…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Pao-Hsiung Chiu , Jian Cheng Wong , Chin Chun Ooi , Chang Wei , Yuchen Fan , Yew-Soon Ong

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

Computational Engineering, Finance, and Science · Computer Science 2024-04-30 Yared W. Bekele

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

Proton exchange membrane (PEM) electrolyzers are pivotal for sustainable hydrogen production, yet their long-term performance is hindered by membrane degradation, which poses reliability and safety challenges. Therefore, accurate modeling…

Computational Engineering, Finance, and Science · Computer Science 2025-07-08 Alejandro Polo-Molina , Jose Portela , Luis Alberto Herrero Rozas , Román Cicero González

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

The prohibitive cost and low fidelity of experimental data in industry scale thermofluid systems limit the usefulness of pure data-driven machine learning methods. Physics-informed neural networks (PINN) strive to overcome this by embedding…

Fluid Dynamics · Physics 2021-05-25 Ryno Laubscher , Pieter Rousseau

The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individual shortcomings of data- or physics-only methods. In this…

Machine Learning · Computer Science 2024-04-23 Marcus Haywood-Alexander , Wei Liu , Kiran Bacsa , Zhilu Lai , Eleni Chatzi

In this study, physics-informed supervised residual learning (PhiSRL) is proposed to enable an effective, robust, and general deep learning framework for 2D electromagnetic (EM) modeling. Based on the mathematical connection between the…

Computational Physics · Physics 2023-09-29 Tao Shan , Jinhong Zeng , Xiaoqian Song , Rui Guo , Maokun Li , Fan Yang , Shenheng Xu

Physics-informed neural networks (PINNs) solve time-dependent partial differential equations (PDEs) by learning a mesh-free, differentiable solution that can be evaluated anywhere in space and time. However, standard space--time PINNs take…

Machine Learning · Computer Science 2026-01-29 Chen-Yang Dai , Che-Chia Chang , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

Physics-Informed Neural Networks (PINNs) are a new family of numerical methods, based on deep learning, for modeling boundary value problems. They offer an advantage over traditional numerical methods for high-dimensional, parametric, and…

Computational Physics · Physics 2024-07-31 Michel Nohra , Steven Dufour

Convolutional neural network (CNN) has been widely exploited for simultaneous and proportional myoelectric control due to its capability of deriving informative, representative and transferable features from surface electromyography (sEMG).…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Tianzhe Bao , Syed Ali Raza Zaidi , Shengquan Xie , Pengfei Yang , Zhiqiang Zhang

Physics-informed neural networks (PINNs) have lately received significant attention as a representative deep learning-based technique for solving partial differential equations (PDEs). Most fully connected network-based PINNs use automatic…

Machine Learning · Computer Science 2024-09-30 Zixue Xiang , Wei Peng , Wen Yao
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