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For the nonlinear Richards equation as an unsaturated flow through heterogeneous media, we build a new coarse-scale approximation algorithm utilizing numerical homogenization. This approach follows deep neural networks (DNNs) to quickly and…

数值分析 · 数学 2023-05-23 Sergei Stepanov , Denis Spiridonov , Tina Mai

Fast prediction of permeability directly from images enabled by image recognition neural networks is a novel pore-scale modeling method that has a great potential. This article presents a framework that includes (1) generation of porous…

计算物理 · 物理学 2018-09-11 Jin-Long Wu , Xiao-Long Yin , Heng Xiao

Homogenization is a technique commonly used in multiscale computational science and engineering for predicting collective response of heterogeneous materials and extracting effective mechanical properties. In this paper, a three-dimensional…

计算工程、金融与科学 · 计算机科学 2020-02-19 Chengping Rao , Yang Liu

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

量子物理 · 物理学 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

We present an approach to numerical homogenization of the elastic response of microstructures. Our work uses deep neural network representations trained on data obtained from direct numerical simulation (DNS) of martensitic phase…

计算物理 · 物理学 2019-01-04 K. Sagiyama , K. Garikipati

Low precision weights, activations, and gradients have been proposed as a way to improve the computational efficiency and memory footprint of deep neural networks. Recently, low precision networks have even shown to be more robust to…

机器学习 · 计算机科学 2018-07-04 Griffin Lacey , Graham W. Taylor , Shawki Areibi

Deep neural networks (DNN) have achieved remarkable success in various fields, including computer vision and natural language processing. However, training an effective DNN model still poses challenges. This paper aims to propose a method…

机器学习 · 计算机科学 2024-07-03 Hejie Ying , Mengmeng Song , Yaohong Tang , Shungen Xiao , Zimin Xiao

In the present work, 3D convolutional neural networks (CNNs) are trained to link random heterogeneous, two-phase materials of arbitrary phase fractions to their elastic macroscale stiffness thus replacing explicit homogenization…

材料科学 · 物理学 2021-09-08 Bernhard Eidel

We study the performance of stochastically trained deep neural networks (DNNs) whose synaptic weights are implemented using emerging memristive devices that exhibit limited dynamic range, resolution, and variability in their programming…

机器学习 · 统计学 2017-11-13 Anakha V Babu , Bipin Rajendran

This work is directed to uncertainty quantification of homogenized effective properties for composite materials with complex, three dimensional microstructure. The uncertainties arise in the material parameters of the single constituents as…

机器学习 · 计算机科学 2021-10-27 Alexander Henkes , Ismail Caylak , Rolf Mahnken

Deep neural networks are a powerful tool for feature learning and extraction given their ability to model high-level abstractions in highly complex data. One area worth exploring in feature learning and extraction using deep neural networks…

机器学习 · 计算机科学 2015-12-15 Mohammad Javad Shafiee , Parthipan Siva , Paul Fieguth , Alexander Wong

Computational material modeling using advanced numerical techniques speeds up the design process and reduces the costs of developing new engineering products. In the field of multiscale modeling, huge computation efforts are expected for…

无序系统与神经网络 · 物理学 2023-01-31 Fadi Aldakheel , Celal Soyarslan , Hari Subramani Palanisamy , Elsayed Saber Elsayed

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

神经与进化计算 · 计算机科学 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

机器学习 · 计算机科学 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

材料科学 · 物理学 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

Stochastic microstructure reconstruction has become an indispensable part of computational materials science, but ongoing developments are specific to particular material systems. In this paper, we address this generality problem by…

材料科学 · 物理学 2018-05-09 Xiaolin Li , Yichi Zhang , He Zhao , Craig Burkhart , L Catherine Brinson , Wei Chen

We study the feasibility of data based machine learning applied to ultrasound tomography to estimate water-saturated porous material parameters. In this work, the data to train the neural networks is simulated by solving wave propagation in…

计算物理 · 物理学 2018-02-27 Timo Lähivaara , Leo Kärkkäinen , Janne M. J. Huttunen , Jan S. Hesthaven

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

数值分析 · 数学 2020-01-08 Yating Wang , Guang Lin

In the design of tensegrity structures, traditional form-finding methods utilize kinematic and static approaches to identify geometric configurations that achieve equilibrium. However, these methods often fall short when applied to actual…

计算工程、金融与科学 · 计算机科学 2024-07-18 Muhao Chen , Jing Qin

The customizable nature of deep learning models have allowed them to be successful predictors in various disciplines. These models are often trained with respect to thousands or millions of instances for complicated problems, but the…

机器学习 · 计算机科学 2019-12-24 Drimik Roy Chowdhury , Muhammad Firmansyah Kasim
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