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The Finite Element Method (FEM) is a widely used technique for simulating crash scenarios with high accuracy and reliability. To reduce the significant computational costs associated with FEM, the Finite Element Method Integrated Networks…

计算工程、金融与科学 · 计算机科学 2024-09-27 Simon Thel , Lars Greve , Maximilian Karl , Patrick van der Smagt

In this work, a model based on the Physics - Informed Neural Networks (PINNs) for solving elastic deformation of heterogeneous solids and associated Uncertainty Quantification (UQ) is presented. For the present study, the PINNs framework -…

We introduce the Differentiable Weightless Neural Network (DWN), a model based on interconnected lookup tables. Training of DWNs is enabled by a novel Extended Finite Difference technique for approximate differentiation of binary values. We…

Neural networks (NNs) are inherently multidimensional classifiers that learn complex, non-linear relationships among input observables. While their flexibility enables unprecedented performance in high-energy physics (HEP) analyses, it also…

Traditional physics-informed neural networks (PINNs) do not always satisfy physics based constraints, especially when the constraints include differential operators. Rather, they minimize the constraint violations in a soft way. Strict…

机器学习 · 计算机科学 2025-12-08 Rahul Golder , Bimol Nath Roy , M. M. Faruque Hasan

We introduce a novel approach to automatic unstructured mesh generation using machine learning to predict an optimal finite element mesh for a previously unseen problem. The framework that we have developed is based around training an…

数值分析 · 数学 2020-04-16 Zheyan Zhang , Yongxing Wang , Peter K. Jimack , He Wang

Federated learning is a collaborative model training method that iterates model updates by multiple clients and aggregation of the updates by a central server. Device and statistical heterogeneity of participating clients cause significant…

机器学习 · 计算机科学 2023-08-29 Ayano Nakai-Kasai , Tadashi Wadayama

Multiscale modeling is an effective approach for investigating multiphysics systems with largely disparate size features, where models with different resolutions or heterogeneous descriptions are coupled together for predicting the system's…

计算工程、金融与科学 · 计算机科学 2022-12-07 Minglang Yin , Enrui Zhang , Yue Yu , George Em Karniadakis

Efficient modeling of jet diffusion during accidental release is critical for operation and maintenance management of hydrogen facilities. Deep learning has proven effective for concentration prediction in gas jet diffusion scenarios.…

计算工程、金融与科学 · 计算机科学 2023-09-06 Xinqi Zhang , Jihao Shi , Junjie Li , Xinyan Huang , Fu Xiao , Qiliang Wang , Asif Sohail Usmani , Guoming Chen

In this paper, we consider a numerical homogenization of the poroelasticity problem with stochastic properties. The proposed method based on the construction of the deep neural network (DNN) for fast calculation of the effective properties…

数值分析 · 数学 2018-10-04 Maria Vasilyeva , Aleksey Tyrylgin

Stress is known as one of the major factors threatening human health. A large number of studies have been performed in order to either assess or relieve stress by analyzing the brain and heart-related signals. In this study, signals…

信号处理 · 电气工程与系统科学 2020-02-18 Mahya Mirbagheri , Ata Jodeiri , Naser Hakimi , Vahid Zakeri , Seyed Kamaledin Setarehdan

We extend the laminate based framework of direct Deep Material Networks (DMNs) to treat suspensions of rigid fibers in a non-Newtonian solvent. To do so, we derive two-phase homogenization blocks that are capable of treating incompressible…

计算工程、金融与科学 · 计算机科学 2024-06-18 Benedikt Sterr , Sebastian Gajek , Andrew Hrymak , Matti Schneider , Thomas Böhlke

Deep Learning (DL) model-based AI services are increasingly offered in a variety of predictive analytics services such as computer vision, natural language processing, speech recognition. However, the quality of the DL models can degrade…

分布式、并行与集群计算 · 计算机科学 2020-11-04 Anirban Bhattacharjee , Ajay Dev Chhokra , Hongyang Sun , Shashank Shekhar , Aniruddha Gokhale , Gabor Karsai , Abhishek Dubey

Deep neural networks (DNN) such as Multi-Layer Perception (MLP) and Convolutional Neural Networks (CNN) represent one of the most established deep learning algorithms. Given the tremendous effects of the number of hidden layers on network…

图像与视频处理 · 电气工程与系统科学 2021-11-17 Shihao Shao , Yong Liu , Qinghua Cui

It is critical yet challenging for deep learning models to properly characterize uncertainty that is pervasive in real-world environments. Although a lot of efforts have been made, such as heteroscedastic neural networks (HNNs), little work…

机器学习 · 计算机科学 2021-03-30 Peng Cui , Zhijie Deng , Wenbo Hu , Jun Zhu

Deep Ensembles, as a type of Bayesian Neural Networks, can be used to estimate uncertainty on the prediction of multiple neural networks by collecting votes from each network and computing the difference in those predictions. In this paper,…

机器学习 · 计算机科学 2023-07-10 Illia Oleksiienko , Alexandros Iosifidis

To improve predictive models for STEM applications, supplemental physics-based features computed from input parameters are introduced into single and multiple layers of a deep neural network (DNN). While many studies focus on informing DNNs…

新兴技术 · 计算机科学 2024-09-02 Nicholus R. Clinkinbeard , Nicole N. Hashemi

Stress and material deformation field predictions are among the most important tasks in computational mechanics. These predictions are typically made by solving the governing equations of continuum mechanics using finite element analysis,…

机器学习 · 统计学 2024-06-24 George D. Pasparakis , Lori Graham-Brady , Michael D. Shields

Data-driven discovery of partial differential equations (PDEs) has attracted increasing attention in recent years. Although significant progress has been made, certain unresolved issues remain. For example, for PDEs with high-order…

机器学习 · 计算机科学 2021-09-14 Hao Xu , Dongxiao Zhang , Nanzhe Wang

Edge inference techniques partition and distribute Deep Neural Network (DNN) inference tasks among multiple edge nodes for low latency inference, without considering the core-level heterogeneity of edge nodes. Further, default DNN inference…

分布式、并行与集群计算 · 计算机科学 2024-11-26 Zain Taufique , Aman Vyas , Antonio Miele , Pasi Liljeberg , Anil Kanduri