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In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed. This method takes advantage of computational graphs and backpropagation algorithms involved in deep learning. Besides, the proposed DCM is based on…

Numerical Analysis · Mathematics 2021-05-27 Hongwei Guo , Xiaoying Zhuang , Timon Rabczuk

The deep energy method (DEM) has been used to solve the elastic deformation of structures with linear elasticity, hyperelasticity, and strain-gradient elasticity material models based on the principle of minimum potential energy. In this…

Computational Engineering, Finance, and Science · Computer Science 2023-01-26 Junyan He , Diab Abueidda , Rashid Abu Al-Rub , Seid Koric , Iwona Jasiuk

The potential energy formulation and deep learning are merged to solve partial differential equations governing the deformation in hyperelastic and viscoelastic materials. The presented deep energy method (DEM) is self-contained and…

Machine Learning · Computer Science 2022-05-05 Diab W. Abueidda , Seid Koric , Rashid Abu Al-Rub , Corey M. Parrott , Kai A. James , Nahil A. Sobh

In recent years, the rapid advancement of deep learning has significantly impacted various fields, particularly in solving partial differential equations (PDEs) in the realm of solid mechanics, benefiting greatly from the remarkable…

Machine Learning · Computer Science 2024-09-17 Yizheng Wang , Jia Sun , Timon Rabczuk , Yinghua Liu

In this paper, we demonstrate a computationally efficient new approach based on deep learning (DL) techniques for analysis, design, and optimization of electromagnetic (EM) nanostructures. We use the strong correlation among features of a…

Machine Learning · Computer Science 2020-02-13 Yashar Kiarashinejad , Sajjad Abdollahramezani , Ali Adibi

The introduction of Physics-informed Neural Networks (PINNs) has led to an increased interest in deep neural networks as universal approximators of PDEs in the solid mechanics community. Recently, the Deep Energy Method (DEM) has been…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Jan N. Fuhg , Nikolaos Bouklas

The goal of this paper is to analyze and predict the central deflection, natural frequency, and critical buckling load of the multi-directional functionally graded (FG) plate with variable thickness resting on an elastic Winkler foundation.…

Machine Learning · Computer Science 2023-01-18 Nam G. Luu , Thanh T. Banh

Clinical guidelines underscore the importance of regularly monitoring and surveilling arteriovenous fistula (AVF) access in hemodialysis patients to promptly detect any dysfunction. Although phono-angiography/sound analysis overcomes the…

Machine Learning · Computer Science 2023-06-13 Li-Chin Chen , Yi-Heng Lin , Li-Ning Peng , Feng-Ming Wang , Yu-Hsin Chen , Po-Hsun Huang , Shang-Feng Yang , Yu Tsao

Accurate day-ahead electricity price forecasting (DAEPF) is critical for the efficient operation of power systems, but extreme condition and market anomalies pose significant challenges to existing forecasting methods. To overcome these…

Machine Learning · Computer Science 2025-11-11 Boyan Tang , Xuanhao Ren , Peng Xiao , Shunbo Lei , Xiaorong Sun , Jianghua Wu

Many real-world monitoring and surveillance applications require non-trivial anomaly detection to be run in the streaming model. We consider an incremental-learning approach, wherein a deep-autoencoding (DAE) model of what is normal is…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Albert Akhriev , Jakub Marecek

Modeling and simulating a power distribution network (PDN) for printed circuit boards (PCBs) with irregular board shapes and multi-layer stackup is computationally inefficient using full-wave simulations. This paper presents a new concept…

Machine Learning · Computer Science 2021-06-22 Ling Zhang , Jack Juang , Zurab Kiguradze , Bo Pu , Shuai Jin , Songping Wu , Zhiping Yang , Chulsoon Hwang

Self-sensing conductive composites can reveal deformation and damage through measurable changes in electrical resistance, which makes them attractive for embedded diagnostics and learning-enabled structural health monitoring. This paper…

Computational Physics · Physics 2026-04-07 Aamir Dean , Betim Bahtiri

The discovery of new materials is often constrained by the need for large labelled datasets or expensive simulations. In this study, we explore the use of Disentangling Autoencoders (DAEs) to learn compact and interpretable representations…

Materials Science · Physics 2025-07-29 Jaehoon Cha , Tingyao Lu , Matthew Walker , Keith T. Butler

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

In this paper, we develop a virtual element method (VEM) of high order to solve the fourth order plate buckling eigenvalue problem on polygonal meshes. We write a variational formulation based on the Kirchhoff-Love model depending on the…

Numerical Analysis · Mathematics 2020-02-19 David Mora , Iván Velásquez

Most of the data-driven approaches applied to bearing fault diagnosis up to date are established in the supervised learning paradigm, which usually requires a large set of labeled data collected a priori. In practical applications, however,…

Machine Learning · Computer Science 2019-12-10 Shen Zhang , Fei Ye , Bingnan Wang , Thomas G. Habetler

Missing data is a recurrent and challenging problem, especially when using machine learning algorithms for real-world applications. For this reason, missing data imputation has become an active research area, in which recent deep learning…

Machine Learning · Computer Science 2021-07-01 Simon Tihon , Muhammad Usama Javaid , Damien Fourure , Nicolas Posocco , Thomas Peel

In recent years, machine learning models, chiefly deep neural networks, have revealed suited to learn accurate energy-density functionals from data. However, problematic instabilities have been shown to occur in the search of ground-state…

Computational Physics · Physics 2024-09-26 Emanuele Costa , Giuseppe Scriva , Sebastiano Pilati

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Disentanglement is a useful property in representation learning which increases the interpretability of generative models such as Variational autoencoders (VAE), Generative Adversarial Models, and their many variants. Typically in such…

Machine Learning · Computer Science 2022-05-31 Arun Pandey , Michael Fanuel , Joachim Schreurs , Johan A. K. Suykens
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