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We propose a physics-augmented neural network (PANN) framework for finite strain incompressible viscoelasticity within the generalized standard materials theory. The formulation is based on the multiplicative decomposition of the…

计算工程、金融与科学 · 计算机科学 2025-11-06 Karl A. Kalina , Jörg Brummund , Markus Kästner

Physics-informed neural networks (PINNs) [31] use automatic differentiation to solve partial differential equations (PDEs) by penalizing the PDE in the loss function at a random set of points in the domain of interest. Here, we develop a…

神经与进化计算 · 计算机科学 2019-12-03 E. Kharazmi , Z. Zhang , G. E. Karniadakis

Physics-informed neural networks (PINNs) are capable of finding the solution for a given boundary value problem. We employ several ideas from the finite element method (FEM) to enhance the performance of existing PINNs in engineering…

计算工程、金融与科学 · 计算机科学 2022-10-05 Shahed Rezaei , Ali Harandi , Ahmad Moeineddin , Bai-Xiang Xu , Stefanie Reese

Fourier ptychography (FP) is a newly developed computational imaging approach that achieves both high resolution and wide field of view by stitching a series of low-resolution images captured under angle-varied illumination. So far, many…

图像与视频处理 · 电气工程与系统科学 2019-09-20 Yongbing Zhang , Yangzhe Liu , Xiu Li , Shaowei Jiang , Krishna Dixit , Xinfeng Zhang , Xiangyang Ji

Real-time, physically-consistent predictions on low-power edge devices is critical for the next generation embodied AI systems, yet it remains a major challenge. Physics-Informed Neural Networks (PINNs) combine data-driven learning with…

机器学习 · 计算机科学 2025-12-01 Chi Zhang , Lin Wang

Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

机器学习 · 计算机科学 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

As the key component that facilitates long-haul transmission in optical fiber communications by increasing capacity and reducing costs, accurate characterization and gain settings of erbium-doped fiber amplifiers (EDFAs) are essential for…

光学 · 物理学 2025-02-24 Xiaotian Jiang , Jiawei Dong , Yuchen Song , Jin Li , Min Zhang , Danshi Wang

We present a novel algorithm for parameter learning in generic deep generative models that builds upon the predictive coding (PC) framework of computational neuroscience. Our approach modifies the standard PC algorithm to bring performance…

机器学习 · 计算机科学 2024-11-19 Umais Zahid , Qinghai Guo , Zafeirios Fountas

The current work aims to incorporate physics-based loss in Physics Informed Neural Network (PINN) directly using the numerical residual obtained from the governing equation in any dicretized forward solver. PINN's major difficulties in…

数值分析 · 数学 2025-09-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

The accurate estimation of the state of complex uncertain physical systems requires reconciling theoretical models, with inherent imperfections, with noisy experimental data. In this work, we propose an effective hybrid approach that…

机器学习 · 计算机科学 2025-12-16 Stiven Briand Massala , Ludovic Chamoin , Massimo Picca Ciamarra

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

数值分析 · 数学 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

机器学习 · 计算机科学 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

Deep learning (DL) models have been widely used in materials property prediction with great success, especially for properties with large datasets. However, the out-of-distribution (OOD) performances of such models are questionable,…

材料科学 · 物理学 2024-07-23 Nihang Fu , Sadman Sadeed Omee , Jianjun Hu

There are two de facto standard architectures in recent computer vision: Convolutional Neural Networks (CNNs) and Vision Transformers (ViTs). Strong inductive biases of convolutions help the model learn sample effectively, but such strong…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Yunsung Lee , Gyuseong Lee , Kwangrok Ryoo , Hyojun Go , Jihye Park , Seungryong Kim

Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

机器学习 · 计算机科学 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

Neural Networks (NN) has been used in many areas with great success. When a NN's structure (Model) is given, during the training steps, the parameters of the model are determined using an appropriate criterion and an optimization algorithm…

机器学习 · 计算机科学 2024-08-15 Ali Mohammad-Djafari , Ning Chu , Li Wang , Caifang Cai , Liang Yu

Although image restoration has advanced significantly, most existing methods target only a single type of degradation. In real-world scenarios, images often contain multiple degradations simultaneously, such as rain, noise, and haze,…

计算机视觉与模式识别 · 计算机科学 2025-11-14 Hu Gao , Xiaoning Lei , Xichen Xu , Depeng Dang , Lizhuang Ma

We present a machine learning framework capable of consistently inferring mathematical expressions of hyperelastic energy functionals for incompressible materials from sparse experimental data and physical laws. To achieve this goal, we…

计算工程、金融与科学 · 计算机科学 2024-02-13 Bahador Bahmani , WaiChing Sun

We introduce an optimized physics-informed neural network (PINN) trained to solve the problem of identifying and characterizing a surface breaking crack in a metal plate. PINNs are neural networks that can combine data and physics in the…

Metal additive manufacturing enables unprecedented design freedom and the production of customized, complex components. However, the rapid melting and solidification dynamics inherent to metal AM processes generate heterogeneous,…

机器学习 · 计算机科学 2025-05-05 D. Patel , R. Sharma , Y. B. Guo