Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear partial differential equations DOI Creative Commons
Jinshuai Bai, Guirong Liu, Ashish Gupta

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2023, Volume and Issue: 415, P. 116290 - 116290

Published: Aug. 3, 2023

Our recent intensive study has found that physics-informed neural networks (PINN) tend to be local approximators after training. This observation leads this novel radial basis network (PIRBN), which can maintain the property throughout entire training process. Compared deep networks, a PIRBN comprises of only one hidden layer and "activation" function. Under appropriate conditions, we demonstrated PIRBNs using gradient descendent methods converge Gaussian processes. Besides, studied dynamics via tangent kernel (NTK) theory. In addition, comprehensive investigations regarding initialisation strategies were conducted. Based on numerical examples, been more effective efficient than PINN in solving PDEs with high-frequency features ill-posed computational domains. Moreover, existing techniques, such as adaptive learning, decomposition different types loss functions, are applicable PIRBN. The programs regenerate all results at https://github.com/JinshuaiBai/PIRBN.

Language: Английский

A survey on deep learning tools dealing with data scarcity: definitions, challenges, solutions, tips, and applications DOI Creative Commons
Laith Alzubaidi, Jinshuai Bai, Aiman Al-Sabaawi

et al.

Journal Of Big Data, Journal Year: 2023, Volume and Issue: 10(1)

Published: April 14, 2023

Abstract Data scarcity is a major challenge when training deep learning (DL) models. DL demands large amount of data to achieve exceptional performance. Unfortunately, many applications have small or inadequate train frameworks. Usually, manual labeling needed provide labeled data, which typically involves human annotators with vast background knowledge. This annotation process costly, time-consuming, and error-prone. every framework fed by significant automatically learn representations. Ultimately, larger would generate better model its performance also application dependent. issue the main barrier for dismissing use DL. Having sufficient first step toward any successful trustworthy application. paper presents holistic survey on state-of-the-art techniques deal models overcome three challenges including small, imbalanced datasets, lack generalization. starts listing techniques. Next, types architectures are introduced. After that, solutions address listed, such as Transfer Learning (TL), Self-Supervised (SSL), Generative Adversarial Networks (GANs), Model Architecture (MA), Physics-Informed Neural Network (PINN), Deep Synthetic Minority Oversampling Technique (DeepSMOTE). Then, these were followed some related tips about acquisition prior purposes, well recommendations ensuring trustworthiness dataset. The ends list that suffer from scarcity, several alternatives proposed in order more each Electromagnetic Imaging (EMI), Civil Structural Health Monitoring, Medical imaging, Meteorology, Wireless Communications, Fluid Mechanics, Microelectromechanical system, Cybersecurity. To best authors’ knowledge, this review offers comprehensive overview strategies tackle

Language: Английский

Citations

354

A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics DOI
Jinshuai Bai, Timon Rabczuk, Ashish Gupta

et al.

Computational Mechanics, Journal Year: 2022, Volume and Issue: 71(3), P. 543 - 562

Published: Nov. 28, 2022

Language: Английский

Citations

114

Dynamics of imperfect inhomogeneous nanoplate with exponentially-varying properties resting on viscoelastic foundation DOI
Guoliang Liu,

Shengbin Wu,

Davood Shahsavari

et al.

European Journal of Mechanics - A/Solids, Journal Year: 2022, Volume and Issue: 95, P. 104649 - 104649

Published: May 17, 2022

Language: Английский

Citations

104

Topology optimization via machine learning and deep learning: a review DOI Creative Commons
Seungyeon Shin,

Dongju Shin,

Namwoo Kang

et al.

Journal of Computational Design and Engineering, Journal Year: 2023, Volume and Issue: 10(4), P. 1736 - 1766

Published: July 4, 2023

Abstract Topology optimization (TO) is a method of deriving an optimal design that satisfies given load and boundary conditions within domain. This enables effective without initial design, but has been limited in use due to high computational costs. At the same time, machine learning (ML) methodology including deep made great progress 21st century, accordingly, many studies have conducted enable rapid by applying ML TO. Therefore, this study reviews analyzes previous research on ML-based TO (MLTO). Two different perspectives MLTO are used review studies: (i) (ii) perspectives. The perspective addresses “why” for TO, while “how” apply In addition, limitations current future directions examined.

Language: Английский

Citations

49

Nonlinear dynamics of three-layer microplates: simultaneous presence of the micro-scale and imperfect effects DOI
Qiliang Wu,

Shuaichao Wang,

Minghui Yao

et al.

The European Physical Journal Plus, Journal Year: 2024, Volume and Issue: 139(5)

Published: May 28, 2024

Language: Английский

Citations

41

Prediction of bearing capacity of pile foundation using deep learning approaches DOI
Manish Kumar,

Divesh Ranjan Kumar,

Jitendra Khatti

et al.

Frontiers of Structural and Civil Engineering, Journal Year: 2024, Volume and Issue: 18(6), P. 870 - 886

Published: June 1, 2024

Language: Английский

Citations

29

Methods for enabling real-time analysis in digital twins: A literature review DOI Creative Commons
Mohammad Sadegh Es-haghi, Cosmin Anitescu, Timon Rabczuk

et al.

Computers & Structures, Journal Year: 2024, Volume and Issue: 297, P. 107342 - 107342

Published: April 4, 2024

This paper presents a literature review on methods for enabling real-time analysis in digital twins, which are virtual models of physical systems. The advantages twins numerous, including cost reduction, risk mitigation, efficiency enhancement, and decision-making support. However, their implementation faces challenges such as the need data analysis, resource limitations, uncertainty. focuses reducing computational demands, have not been systematically discussed literature. reviews categorizes tools accelerating modeling phenomena needs twins.

Language: Английский

Citations

19

Proposed numerical and machine learning models for fiber-reinforced polymer concrete-steel hollow and solid elliptical columns DOI
Qiong Tang, Ishan Jha, Alireza Bahrami

et al.

Frontiers of Structural and Civil Engineering, Journal Year: 2024, Volume and Issue: 18(8), P. 1169 - 1194

Published: July 26, 2024

Language: Английский

Citations

17

Recent Advances in Machine Learning‐Assisted Multiscale Design of Energy Materials DOI Creative Commons
Bohayra Mortazavi

Advanced Energy Materials, Journal Year: 2024, Volume and Issue: unknown

Published: Dec. 10, 2024

Abstract This review highlights recent advances in machine learning (ML)‐assisted design of energy materials. Initially, ML algorithms were successfully applied to screen materials databases by establishing complex relationships between atomic structures and their resulting properties, thus accelerating the identification candidates with desirable properties. Recently, development highly accurate interatomic potentials generative models has not only improved robust prediction physical but also significantly accelerated discovery In past couple years, methods have enabled high‐precision first‐principles predictions electronic optical properties for large systems, providing unprecedented opportunities science. Furthermore, ML‐assisted microstructure reconstruction physics‐informed solutions partial differential equations facilitated understanding microstructure–property relationships. Most recently, seamless integration various platforms led emergence autonomous laboratories that combine quantum mechanical calculations, language models, experimental validations, fundamentally transforming traditional approach novel synthesis. While highlighting aforementioned advances, existing challenges are discussed. Ultimately, is expected fully integrate atomic‐scale simulations, reverse engineering, process optimization, device fabrication, empowering system design. will drive transformative innovations conversion, storage, harvesting technologies.

Language: Английский

Citations

17

AT-PINN-HC: A refined time-sequential method incorporating hard-constraint strategies for predicting structural behavior under dynamic loads DOI
Zhaolin Chen, S.K. Lai, Zhicheng Yang

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2025, Volume and Issue: 436, P. 117691 - 117691

Published: Jan. 10, 2025

Language: Английский

Citations

2