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Accurately modeling and forecasting complex systems governed by partial differential equations (PDEs) is crucial in various scientific and engineering domains. However, traditional numerical methods struggle in real-world scenarios due to…

Machine Learning · Computer Science 2025-05-06 Han Wan , Rui Zhang , Qi Wang , Yang Liu , Hao Sun

Convolutional Neural Networks (CNNs) have been proven to be extremely successful at solving computer vision tasks. State-of-the-art methods favor such deep network architectures for its accuracy performance, with the cost of having massive…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jiahui Huang , Kshitij Dwivedi , Gemma Roig

The increased availability and usage of modern medical imaging induced a strong need for automatic medical image segmentation. Still, current image segmentation platforms do not provide the required functionalities for plain setup of…

Image and Video Processing · Electrical Eng. & Systems 2022-04-14 Dominik Müller , Frank Kramer

With the rapid development of deep learning, Deep Spiking Neural Networks (DSNNs) have emerged as promising due to their unique spike event processing and asynchronous computation. When deployed on neuromorphic chips, DSNNs offer…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Hui Xie , Ge Yang , Wenjuan Gao

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations…

Machine Learning · Computer Science 2021-06-16 Sina Amini Niaki , Ehsan Haghighat , Trevor Campbell , Anoush Poursartip , Reza Vaziri

This paper introduces an adaptive convolutional neural network (CNN) architecture capable of automating various topology optimization (TO) problems with diverse underlying physics. The proposed architecture has an encoder-decoder-type…

Computational Engineering, Finance, and Science · Computer Science 2024-04-19 Khaish Singh Chadha , Prabhat Kumar

Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differential Equations (PDEs) on 3D manifolds. PINNs are one of the…

Numerical Analysis · Mathematics 2021-03-05 Zhuochao Tang , Zhuojia Fu

We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

Physics-Informed Neural Networks (PINNs) have emerged as a powerful mesh-free framework for solving ordinary and partial differential equations by embedding the governing physical laws directly into the loss function. However, their…

Large-scale numerical simulations are used across many scientific disciplines to facilitate experimental development and provide insights into underlying physical processes, but they come with a significant computational cost. Deep neural…

Deep neural networks (DNNs) are known for extracting useful information from large amounts of data. However, the representations learned in DNNs are typically hard to interpret, especially in dense layers. One crucial issue of the classical…

Neural and Evolutionary Computing · Computer Science 2021-05-06 Yuyang Gao , Giorgio A. Ascoli , Liang Zhao

Solving high-frequency oscillatory partial differential equations (PDEs) is a critical challenge in scientific computing, with applications in fluid mechanics, quantum mechanics, and electromagnetic wave propagation. Traditional…

Machine Learning · Computer Science 2025-08-04 Xiong Xiong , Zhuo Zhang , Rongchun Hu , Chen Gao , Zichen Deng

High-performance scientific simulations, important for comprehension of complex systems, encounter computational challenges especially when exploring extensive parameter spaces. There has been an increasing interest in developing deep…

Machine Learning · Computer Science 2024-07-15 Pradeep Bajracharya , Javier Quetzalcóatl Toledo-Marín , Geoffrey Fox , Shantenu Jha , Linwei Wang

Data-driven discovery of governing equations in computational science has emerged as a new paradigm for obtaining accurate physical models and as a possible alternative to theoretical derivations. The recently developed physics-informed…

Machine Learning · Computer Science 2023-10-18 Zongren Zou , Xuhui Meng , George Em Karniadakis

Try to generate new bridge types using generative artificial intelligence technology. Using symmetric structured image dataset of three-span beam bridge, arch bridge, cable-stayed bridge and suspension bridge , based on Python programming…

Machine Learning · Computer Science 2024-01-12 Hongjun Zhang

Physics Informed Machine Learning has emerged as a popular approach for modeling and simulation in digital twins, enabling the generation of accurate models of processes and behaviors in real-world systems. However, existing methods either…

Machine Learning · Computer Science 2025-07-15 Muhammad Saad Zia , Ashiq Anjum , Lu Liu , Anthony Conway , Anasol Pena Rios

We introduce a tensor network library designed for classical and quantum physics simulations called Cytnx (pronounced as sci-tens). This library provides almost an identical interface and syntax for both C++ and Python, allowing users to…

Mathematical Software · Computer Science 2025-03-19 Kai-Hsin Wu , Chang-Teng Lin , Ke Hsu , Hao-Ti Hung , Manuel Schneider , Chia-Min Chung , Ying-Jer Kao , Pochung Chen

We explore the possibility of solving Partial Differential Equations (PDEs) using discrete weak formulations. We propose a programming environment for defining a discrete computational domain, introducing discrete functions defined over a…

Machine Learning · Computer Science 2026-04-20 Tomasz Służalec , Marcin Łoś , Askold Vilkha , Maciej Paszyński

As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs), but how to improve the limited accuracy is still a great…

Machine Learning · Computer Science 2022-08-09 Zhi-Yong Zhang , Hui Zhang , Li-Sheng Zhang , Lei-Lei Guo

Artificial neural network (ANN) is tested as a tool for finding a new subgrid model of the subgrid-scale (SGS) stress in large-eddy simulation. ANN is used to establish a functional relation between the grid-scale (GS) flow field and the…

Fluid Dynamics · Physics 2017-05-10 Masataka Gamahara , Yuji Hattori