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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…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

Deep neural networks are gaining in popularity as they are used to generate state-of-the-art results for a variety of computer vision and machine learning applications. At the same time, these networks have grown in depth and complexity in…

神经与进化计算 · 计算机科学 2016-12-14 Soheil Hashemi , Nicholas Anthony , Hokchhay Tann , R. Iris Bahar , Sherief Reda

Physics-informed deep learning has emerged as a promising framework for solving partial differential equations (PDEs). Nevertheless, training these models on complex problems remains challenging, often leading to limited accuracy and…

机器学习 · 统计学 2025-11-13 Wenqian Chen , Amanda Howard , Panos Stinis

The research in Artificial Intelligence methods with potential applications in science has become an essential task in the scientific community last years. Physics Informed Neural Networks (PINNs) is one of this methods and represent a…

计算物理 · 物理学 2023-07-24 Luis Medrano Navarro , Luis Martín Moreno , Sergio G Rodrigo

Physics-informed neural networks (PINNs) are one popular approach to incorporate a priori knowledge about physical systems into the learning framework. PINNs are known to be robust for smaller training sets, derive better generalization…

机器学习 · 计算机科学 2024-06-19 Birgit Hillebrecht , Benjamin Unger

Compute-in-memory (CIM) based neural network accelerators offer a promising solution to the Von Neumann bottleneck by computing directly within memory arrays. However, SRAM CIM faces limitations in executing larger models due to its cell…

硬件体系结构 · 计算机科学 2025-04-16 Shurui Li , Puneet Gupta

Numerical modeling errors are unavoidable in finite element analysis. The presence of model errors inherently reflects both model accuracy and uncertainty. To date there have been few methods for explicitly quantifying errors at points of…

机器学习 · 计算机科学 2024-11-19 Bozhou Zhuang , Sashank Rana , Brandon Jones , Danny Smyl

Neural networks span a wide range of applications of industrial and commercial significance. Binary neural networks (BNN) are particularly effective in trading accuracy for performance, energy efficiency or hardware/software complexity.…

The breakthrough in Deep Learning neural networks has transformed the use of AI and machine learning technologies for the analysis of very large experimental datasets. These datasets are typically generated by large-scale experimental…

机器学习 · 计算机科学 2021-10-26 Jeyan Thiyagalingam , Mallikarjun Shankar , Geoffrey Fox , Tony Hey

Physics-Informed Machine Learning (PIML) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

计算物理 · 物理学 2021-05-26 Samuel J. Raymond , David B. Camarillo

In this paper, a physics-informed multiresolution wavelet neural network (PIMWNN) method is proposed for solving partial differential equations (PDEs). This method uses the multiresolution wavelet neural network (MWNN) to approximate…

数值分析 · 数学 2025-08-12 Feng Han , Jianguo Wang , Guoliang Peng , Xueting Shi

The numerical solution of differential equations using neural networks has become a central topic in scientific computing, with Physics-Informed Neural Networks (PINNs) emerging as a powerful paradigm for both forward and inverse problems.…

机器学习 · 计算机科学 2026-01-28 Kazuaki Tanaka , Kohei Yatabe

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…

流体动力学 · 物理学 2021-05-25 Ryno Laubscher , Pieter Rousseau

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Variational Physics-Informed Neural Networks (VPINNs) utilize a variational loss function to solve partial differential equations, mirroring Finite Element Analysis techniques. Traditional hp-VPINNs, while effective for high-frequency…

机器学习 · 计算机科学 2024-04-19 Thivin Anandh , Divij Ghose , Himanshu Jain , Sashikumaar Ganesan

Physics-Informed Neural Networks (PINNs) are a powerful class of numerical solvers for partial differential equations, employing deep neural networks with successful applications across a diverse set of problems. However, their…

数值分析 · 数学 2024-04-18 Tianhao Hu , Bangti Jin , Zhi Zhou

Low precision training is one of the most popular strategies for deploying the deep model on limited hardware resources. Fixed point implementation of DCNs has the potential to alleviate complexities and facilitate potential deployment on…

计算机视觉与模式识别 · 计算机科学 2019-12-30 Zehua Cheng , Weiyang Wang , Yan Pan , Thomas Lukasiewicz

Mixed precision training (MPT) is becoming a practical technique to improve the speed and energy efficiency of training deep neural networks by leveraging the fast hardware support for IEEE half-precision floating point that is available in…

机器学习 · 计算机科学 2019-10-29 Ruizhe Zhao , Brian Vogel , Tanvir Ahmed

Physics-informed neural networks (PINNs) have recently emerged as a promising way to compute the solutions of partial differential equations (PDEs) using deep neural networks. However, despite their significant success in various fields, it…

数值分析 · 数学 2024-07-15 Seungchan Ko , Sang Hyeon Park

Physics-informed neural networks (PINNs), rooted in deep learning, have emerged as a promising approach for solving partial differential equations (PDEs). By embedding the physical information described by PDEs into feedforward neural…

机器学习 · 计算机科学 2024-01-26 Yanzhi Liu , Ruifan Wu , Ying Jiang