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30 Results Found

  • Article
  • Open Access
4 Citations
1,890 Views
19 Pages

Prediction of Spectral Response for Explosion Separation Based on DeepONet

  • Xiaoqi Chen,
  • Zhanlong Qu,
  • Yuxi Wang,
  • Zihao Chen and ,
  • Ganchao Chen,
  • Xiao Kang and
  • Ying Li
  • + 2 authors+ 0 author

Strong shock waves generated during the pyrotechnic separation process of aerospace vehicles can cause high-frequency damage or even structural failure to the vehicle’s structure. Existing structural designs for shock attenuation typically rely...

  • Article
  • Open Access
8 Citations
4,214 Views
29 Pages

Displacement Reconstruction Based on Physics-Informed DeepONet Regularizing Geometric Differential Equations of Beam or Plate

  • Zifeng Zhao,
  • Xuesong Yang,
  • Ding Ding,
  • Qiangyong Wang and ,
  • Feiran Zhang,
  • Zhicheng Hu,
  • Kaikai Xu and
  • Xuelin Wang
  • + 3 authors+ 0 author

20 March 2024

Physics-informed DeepONet (PI_DeepONet) is utilized for the reconstruction task of structural displacement based on measured strain. For beam and plate structures, the PI_DeepONet is built by regularizing the strain–displacement relation and bo...

(This article belongs to the Topic Structural Health Monitoring and Non-Destructive Testing for Large-Scale Structures (2nd Edition))
  • Article
  • Open Access
2 Citations
3,490 Views
15 Pages

11 September 2024

Traditional femtosecond laser modeling relies on the iterative solution of the Nonlinear Schrödinger Equation (NLSE) using the Split-Step Fourier Method (SSFM). However, SSFM’s high computational complexity leads to significant time consum...

(This article belongs to the Section Optics and Lasers)
  • Article
  • Open Access
305 Views
22 Pages

Solutions of the Newtonian Plane Couette Flow with Dynamic Wall Slip Using Machine Learning Methods

  • Georgia A. Foutsitzi,
  • Nikolaos A. Antoniadis and
  • Georgios C. Georgiou

19 September 2026

This study presents a comparative investigation of Physics-Informed Neural Networks (PINNs) and data-driven Deep Operator Networks (DeepONets) for predicting the evolution of plane Newtonian Couette flow with dynamic wall slip. First, a PINN framewor...

  • Article
  • Open Access
4 Citations
2,316 Views
15 Pages

16 July 2025

This paper presents an integrated computational framework for predicting temperature fields in glulam beam–column connections under fire conditions, combining finite element modeling, automated parametric analysis, and deep learning techniques....

(This article belongs to the Special Issue Advances in Structural Fire Engineering)
  • Article
  • Open Access
4 Citations
4,281 Views
21 Pages

A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients

  • Amirhossein Mollaali,
  • Izzet Sahin,
  • Iqrar Raza,
  • Christian Moya and ,
  • Guillermo Paniagua and
  • Guang Lin
  • + 1 author+ 0 author

18 December 2023

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often requires significant computational resources. To address this challenge,...

(This article belongs to the Special Issue Challenges and Directions in Fluid Structure Interaction)
  • Article
  • Open Access
3 Citations
2,864 Views
15 Pages

18 June 2023

Evaluating failure probability for complex engineering systems is a computationally intensive task. While the Monte Carlo method is easy to implement, it converges slowly and, hence, requires numerous repeated simulations of a complex system to gener...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
6 Citations
7,185 Views
29 Pages

This study introduces the Graph-Structured Physics-Informed DeepONet (GS-PI-DeepONet), a novel neural network framework designed to address the challenges of solving parametric Partial Differential Equations (PDEs) in structural analysis, particularl...

  • Article
  • Open Access
3 Citations
1,749 Views
14 Pages

Reliable multiscale models of thrombosis require platelet-scale fidelity at organ-scale cost, a gap that scientific machine learning has the potential to narrow. We trained a DeepONet surrogate on platelet dynamics generated with LAMMPS for platelets...

(This article belongs to the Special Issue Fundamentals and Novel Applications of Fluid Mechanics, Biomechanics, and Acoustics in Biomedical Engineering, 2nd Edition)
  • Article
  • Open Access
13 Citations
5,454 Views
15 Pages

12 September 2022

The Deep Operator Network (DeepONet) framework is a different class of neural network architecture that one trains to learn nonlinear operators, i.e., mappings between infinite-dimensional spaces. Traditionally, DeepONets are trained using a centrali...

(This article belongs to the Special Issue Gradient Methods for Optimization)
  • Article
  • Open Access
2 Citations
1,466 Views
18 Pages

Fast Calculation Method of Two-Phase Flow in Horizontal Gas Wells Based on PI-DeepONet

  • Jingjia Yang,
  • Mai Chen,
  • Haoyu Wang,
  • Rui Zheng and ,
  • Zhongkang Li,
  • Hang Zhou and
  • Jianjun Zhu
  • + 2 authors+ 0 author

20 October 2025

With the deepening of unconventional oil and gas resource development, the gas–liquid two-phase flow phenomenon in horizontal gas wells is becoming increasingly complex. Accurate and efficient prediction of the flow state has become key to opti...

(This article belongs to the Section Chemical Processes and Systems)
  • Article
  • Open Access
10 Citations
6,174 Views
27 Pages

16 December 2024

Financial time series prediction is a fundamental problem in investment and risk management. Deep learning models, such as multilayer perceptrons, Convolutional Neural Networks (CNNs), and Long Short-Term Memory (LSTM), have been widely used in model...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
501 Views
18 Pages

A PI-DeepONet-Based Rapid and Accurate Wide-Area ELF Computation Method for Smart Ocean Sensing with Theoretical and Experimental Validations

  • Yong Yang,
  • Weijie Wang,
  • Yongkai Liu,
  • Zhaoyang Yuan and ,
  • Xiaobing Zhang,
  • Jun Ouyang and
  • Changsong Cai
  • + 2 authors+ 0 author

19 August 2026

Rapid three-dimensional electromagnetic field simulation in stratified marine environments is essential for underwater target sensing system design. This paper presents a Physics-Informed Deep Operator Network (PI-DeepONet) that integrates analytical...

(This article belongs to the Special Issue Underwater Wireless Power Transfer Systems)
  • Article
  • Open Access
3 Citations
3,949 Views
21 Pages

29 November 2023

Partial differential equations (PDEs) usually apply for modeling complex physical phenomena in the real world, and the corresponding solution is the key to interpreting these problems. Generally, traditional solving methods suffer from inefficiency a...

(This article belongs to the Topic Numerical Methods for Partial Differential Equations)
  • Article
  • Open Access
737 Views
20 Pages

9 July 2026

In oil and gas field development, accurate prediction of the near-wellbore stress distribution is important for ensuring wellbore integrity, particularly in tight shale reservoirs where the medium can be approximated as nearly homogeneous. The large...

(This article belongs to the Special Issue Process Engineering for Shale Reservoir Characterization and Enhanced Recovery)
  • Article
  • Open Access
2 Citations
3,627 Views
27 Pages

LeONet: A Hybrid Deep Learning Approach for High-Precision Code Clone Detection Using Abstract Syntax Tree Features

  • Thanoshan Vijayanandan,
  • Kuhaneswaran Banujan,
  • Ashan Induranga,
  • Banage T. G. S. Kumara and
  • Kaveenga Koswattage

Code duplication, commonly referred to as code cloning, is not inherent in software systems but arises due to various factors, such as time constraints in meeting project deadlines. These duplications, or “code clones”, complicate the pro...

  • Article
  • Open Access
364 Views
21 Pages

1 August 2026

Accurate traffic state estimation (TSE) is critical for the deployment of intelligent transportation systems. Physics-informed neural networks represent a significant approach for achieving TSE; however, their applicability is constrained by the avai...

(This article belongs to the Special Issue AI-Driven Spatiotemporal Computing in Complex Traffic Systems)
  • Article
  • Open Access
653 Views
34 Pages

13 June 2026

Fourier Neural Operators (FNOs) exhibit mode saturation on high-contrast inhomogeneous media, and recent multi-scale extensions (MscaleFNO) further worsen out-of-distribution (OOD) generalization. We introduce the Helmholtz Neural Operator (HNO), a p...

(This article belongs to the Special Issue Physics-Informed Learning: Applications in Physics-Informed Neural Networks and Machine Learning)
  • Article
  • Open Access
5 Citations
2,594 Views
13 Pages

26 August 2023

The COVID-19 pandemic has led to a global health crisis with significant morbidity, mortality, and socioeconomic disruptions. Understanding and predicting the dynamics of COVID-19 are crucial for public health interventions, resource allocation, and...

(This article belongs to the Special Issue Analysis of Healthcare Big Data and Health Informatics)
  • Article
  • Open Access
1,005 Views
21 Pages

29 November 2025

Recent studies have demonstrated the potential of hyperbolic paraboloid (hypar), a doubly curved geometry, in coastal engineering applications. Predicting pressure distribution, critical for subsequent finite element analysis, on such novel three-dim...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
153 Views
35 Pages

17 October 2026

Structural deformation of large-scale phased-array antennas under complex service environments seriously degrades the electromagnetic performance of radar systems. It is critical to achieve high-precision full-field deformation reconstruction of ante...

  • Article
  • Open Access
2 Citations
1,699 Views
60 Pages

6 July 2026

This review examines neural operator architectures for learning solution operators of parametric partial differential equations (PDEs), with an emphasis on conceptual clarity and practical implementation. The work analyzes key models, including DeepO...

(This article belongs to the Section E: Applied Mathematics)
  • Review
  • Open Access
51 Citations
16,500 Views
51 Pages

Review of Physics-Informed Neural Networks: Challenges in Loss Function Design and Geometric Integration

  • Sergiy Plankovskyy,
  • Yevgen Tsegelnyk,
  • Nataliia Shyshko,
  • Igor Litvinchev and ,
  • Tetyana Romanova and
  • José Manuel Velarde Cantú
  • + 1 author+ 0 author

15 October 2025

Physics-Informed Neural Networks (PINNs) represent a transformative approach to solving partial differential equation (PDE)-based boundary value problems by embedding physical laws into the learning process, addressing challenges such as non-physical...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
494 Views
21 Pages

25 August 2026

This study proposes a surrogate model, Graph-Structured Physics-Informed Deep Operator Network (GS-PI-DeepONet), to simulate two-dimensional hydrodynamics in a tidal river network. The model was coupled with Graph Convolutional Networks (GCNs) for sp...

(This article belongs to the Section Hydraulics and Hydrodynamics)
  • Article
  • Open Access
1 Citations
1,497 Views
24 Pages

12 December 2025

Logistics operations demand real-time visibility and rapid response, yet minute-level traffic speed forecasting remains challenging due to heterogeneous data sources and frequent distribution shifts. This paper proposes a Deep Operator Network (DeepO...

(This article belongs to the Topic Advanced Techniques and Modeling in Business and Economics)
  • Article
  • Open Access
303 Views
26 Pages

A Fast Neural-Operator Surrogate for Spur-Gear Tooth Stress Under Quasi-Static Frictional Contact

  • Tao Zhang,
  • Sarkar Mohammad Raziul Hasan Rifat,
  • Shaid Ahmed Bishal and
  • Md Rafi Islam

17 October 2026

Frictional finite-element solves of spur-gear tooth stress take tens of seconds. A ten-member Fourier neural operator (FNO) ensemble, trained on 270 of 432 quasi-static plane-strain solutions with Coulomb friction in the single-tooth contact zone, pr...

(This article belongs to the Special Issue Advanced Gear Tribology)
  • Article
  • Open Access
213 Views
38 Pages

Empirical Validation of SNR-Dependent Deep Learning Architectures for Label-Free Super-Resolution in Optical Microscopy

  • Shiraz S. Kaderuppan,
  • Jonathan D. Mar,
  • Andrew C. Irvine,
  • Anurag Sharma and ,
  • Muhammad Ramadan Saifuddin,
  • Wai Leong Eugene Wong and
  • Wai Lok Woo
  • + 2 authors+ 0 author

21 October 2026

Optical microscopy is widely used across scientific, industrial, and clinical settings, yet its lateral resolution is fundamentally limited by diffraction (down to ~200 nm in 400 nm visible light). While super-resolution techniques can overcome this...

(This article belongs to the Special Issue Advances of Machine Learning in Nanoscale Materials Science)
  • Article
  • Open Access
10 Citations
5,782 Views
24 Pages

30 April 2023

Wheel odometry is a simple and low-cost localization technique that can be used for localization in GNSS-deprived environments; however, its measurement accuracy is affected by many factors, such as wheel slip, wear, and tire pressure changes, result...

(This article belongs to the Special Issue Autonomous Vehicles: Technology and Application)
  • Article
  • Open Access
9 Citations
3,743 Views
27 Pages

AI–Driven Multimodal Sensing for Early Detection of Health Disorders in Dairy Cows

  • Agne Paulauskaite-Taraseviciene,
  • Arnas Nakrosis,
  • Judita Zymantiene,
  • Vytautas Jurenas and ,
  • Joris Vezys,
  • Antanas Sederevicius,
  • Romas Gruzauskas,
  • Vaidas Oberauskas,
  • Renata Japertiene and
  • Vytautas Ostasevicius
  • + 9 authors+ 4 authors

28 January 2026

Digital technologies that continuously quantify animal behavior, physiology, and production offer significant potential for the early identification of health and welfare disorders of dairy cows. In this study, a multimodal artificial intelligence (A...

(This article belongs to the Section Animal Welfare)
  • Article
  • Open Access
686 Views
26 Pages

A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants

  • Shun Liu,
  • Hongfu Qiang,
  • Tingjing Geng,
  • Xueren Wang and ,
  • Shudi Pei and
  • Xin Ju
  • + 1 author+ 0 author

4 June 2026

Predictive modeling of thermal aging in solid propellants is challenging because HTPB-based propellants are highly filled particle-reinforced polymer systems with sparse experimental data, nonlinear parameter coupling, and partially unclear aging mec...

(This article belongs to the Section Polymer Analysis and Characterization)