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The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Nonlinear metamaterials with tailored mechanical properties have applications in engineering, medicine, robotics, and beyond. While modeling their macromechanical behavior is challenging in itself, finding structure parameters that lead to…

图形学 · 计算机科学 2023-09-20 Yue Li , Stelian Coros , Bernhard Thomaszewski

Direct numerical simulation of hierarchical materials via homogenization-based concurrent multiscale models poses critical challenges for 3D large scale engineering applications, as the computation of highly nonlinear and path-dependent…

计算工程、金融与科学 · 计算机科学 2022-12-29 Shiguang Deng

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

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

人工智能 · 计算机科学 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

We propose a new technique that boosts the convergence of training generative adversarial networks. Generally, the rate of training deep models reduces severely after multiple iterations. A key reason for this phenomenon is that a deep…

机器学习 · 统计学 2018-06-15 Atsushi Nitanda , Taiji Suzuki

Stochastic network modeling is often limited by high computational costs to generate a large number of networks enough for meaningful statistical evaluation. In this study, Deep Convolutional Generative Adversarial Networks (DCGANs) were…

地球物理 · 物理学 2020-06-25 Sung Eun Kim , Yongwon Seo , Junshik Hwang , Hongkyu Yoon , Jonghyun Lee

In this work, we propose a multi-stage training strategy for the development of deep learning algorithms applied to problems with multiscale features. Each stage of the pro-posed strategy shares an (almost) identical network structure and…

数值分析 · 数学 2020-09-25 Eric Chung , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

计算物理 · 物理学 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

We develop a deep neural network (DNN) that accounts for the phase behaviors of polymer-containing liquid mixtures. The key component in the DNN consists of a theory-embedded layer that captures the characteristic features of the phase…

软凝聚态物质 · 物理学 2020-02-03 Issei Nakamura

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

机器学习 · 计算机科学 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Based on deep neural networks (DNNs), deep learning has been successfully applied to many problems, but its mechanism is still not well understood -- especially the reason why over-parametrized DNNs can generalize. A recent statistical…

无序系统与神经网络 · 物理学 2025-06-10 Gang Huang , Lai Shun Chan , Hajime Yoshino , Ge Zhang , Yuliang Jin

This paper integrates deep neural networks (DNNs) into structural economic models to increase flexibility and capture rich heterogeneity while preserving interpretability. Economic structure and machine learning are complements in empirical…

计量经济学 · 经济学 2025-04-28 Max H. Farrell , Tengyuan Liang , Sanjog Misra

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

The accuracy and fidelity of deformation simulations are highly dependent upon the underlying constitutive material model. Commonly used linear or nonlinear constitutive material models only cover a tiny part of possible material behavior.…

图形学 · 计算机科学 2018-08-16 Bin Wang , Paul Kry , Yuanmin Deng , Uri Ascher , Hui Huang , Baoquan Chen

Multimodal learning robust to missing modality has attracted increasing attention due to its practicality. Existing methods tend to address it by learning a common subspace representation for different modality combinations. However, we…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Shicai Wei , Yang Luo , Yuji Wang , Chunbo Luo

The macroscopic properties of materials that we observe and exploit in engineering application result from complex interactions between physics at multiple length and time scales: electronic, atomistic, defects, domains etc. Multiscale…

Deep learning, a multi-layered neural network approach inspired by the brain, has revolutionized machine learning. One of its key enablers has been backpropagation, an algorithm that computes the gradient of a loss function with respect to…

Materials discovery is crucial for making scientific advances in many domains. Collections of data from experiments and first-principle computations have spurred interest in applying machine learning methods to create predictive models…

Deep neural networks (DNNs) utilized recently are physically deployed with computational units (e.g., CPUs and GPUs). Such a design might lead to a heavy computational burden, significant latency, and intensive power consumption, which are…

计算机视觉与模式识别 · 计算机科学 2023-07-25 Quan Liu , Hanyu Zheng , Brandon T. Swartz , Ho hin Lee , Zuhayr Asad , Ivan Kravchenko , Jason G. Valentine , Yuankai Huo