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Solving cell problems in homogenization is hard, and available deep-learning frameworks fail to match the speed and generality of traditional computational frameworks. More to the point, it is generally unclear what to expect of…

计算工程、金融与科学 · 计算机科学 2025-11-07 Binh Huy Nguyen , Matti Schneider

We design a finite element method (FEM) for a membrane model of liquid crystal polymer networks (LCNs). This model consists of a minimization problem of a non-convex stretching energy. We discuss properties of this energy functional such as…

数值分析 · 数学 2023-07-26 Lucas Bouck , Ricardo H. Nochetto , Shuo Yang

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

计算工程、金融与科学 · 计算机科学 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

We design a neural network to extract and process features from absorption images taken of one-dimensional Bose gases in the quasi-condensate regime. Specifically, the network is trained to predict both the temperature of single…

The present paper provides a comprehensive study of de-noising properties of frames and, in particular, tight frames, which constitute one of the most popular tools in contemporary signal processing. The objective of the paper is to bridge…

统计方法学 · 统计学 2013-01-18 Daniela De Canditiis , Marianna Pensky , Patrick J. Wolfe

In recent years, graph representation learning has gained significant popularity, which aims to generate node embeddings that capture features of graphs. One of the methods to achieve this is employing a technique called random walks that…

机器学习 · 计算机科学 2022-10-13 Deniz Gurevin , Mohsin Shan , Tong Geng , Weiwen Jiang , Caiwen Ding , Omer Khan

Recent advances in the industrial inspection of textured surfaces-in the form of visual inspection-have made such inspections possible for efficient, flexible manufacturing systems. We propose an unsupervised feature memory rearrangement…

计算机视觉与模式识别 · 计算机科学 2022-06-23 Haiming Yao , Wenyong Yu , Xue Wang

We report on the investigation of an approach for modelling light transmission through systems consisting of several jointed optical fibres, in which the analytical modelling of the waveguides was replaced by Finite Element Modelling (FEM)…

应用物理 · 物理学 2018-07-31 Natascia Castagna , Jacques Morel , Luc Testa , Sven Burger

Ultimately, brittle fracture involves breaking atomic bonds. However, we still lack a clear picture of what happens in the highly deformed region around a moving crack tip. Consequently, we still cannot link nano to atomic-scale phenomena…

材料科学 · 物理学 2024-07-22 Oriol Gavalda-Diaz , Max Emmanuel , Katharina Marquardt , Eduardo Saiz , Finn Giuliani

Evaluating the mechanical response of fiber-reinforced composites can be extremely time consuming and expensive. Machine learning (ML) techniques offer a means for faster predictions via models trained on existing input-output pairs and…

材料科学 · 物理学 2024-10-03 Yixuan Sun , Imad Hanhan , Michael D. Sangid , Guang Lin

This manuscript proposes an optimization framework to find the tailor-made functionally graded material (FGM) profiles for thermoelastic applications. This optimization framework consists of (1) a random profile generation scheme, (2) deep…

计算工程、金融与科学 · 计算机科学 2024-08-27 Piyush Agrawal , Ihina Mahajan , Shivam Choubey , Manish Agrawal

Recently deep learning has been witnessing widespread adoption in various medical image applications. However, training complex deep neural nets requires large-scale datasets labeled with ground truth, which are often unavailable in many…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Wentao Zhu , Yeeleng S. Vang , Yufang Huang , Xiaohui Xie

We study a family of $H^m$-conforming piecewise polynomials based on artificial neural network, named as the finite neuron method (FNM), for numerical solution of $2m$-th order partial differential equations in $\mathbb{R}^d$ for any $m,d…

数值分析 · 数学 2020-12-30 Jinchao Xu

Modeling plays a critical role in additive manufacturing (AM), enabling a deeper understanding of underlying processes. Parametric solutions for such models are of great importance, enabling the optimization of production processes and…

计算工程、金融与科学 · 计算机科学 2025-02-05 Hesameddin Safari , Henning Wessels

Constitutive evaluations often dominate the computational cost of finite element (FE) simulations whenever material models are complex. Neural constitutive models (NCMs) offer a highly expressive and flexible framework for modeling complex…

计算工程、金融与科学 · 计算机科学 2026-01-21 Benjamin Alheit , Mathias Peirlinck , Siddhant Kumar

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

机器学习 · 统计学 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Achieving accurate numerical results of hydrodynamic loads based on the potential-flow theory is very challenging for structures with sharp edges, due to the singular behavior of the local-flow velocities. In this paper, we introduce the…

数值分析 · 数学 2021-09-23 Ying Wang , Yanlin Shao , Jikang Chen , Hui Liang

Characterization of phases of soft matter systems is a challenge faced in many physicochemical problems. For polymorphic fluids it is an even greater challenge. Specifically, glass forming fluids, as water, can have, besides solid…

软凝聚态物质 · 物理学 2021-12-15 Vinicius F. Hernandes , Murilo S. Marques , José R. Bordin

Hot-rolling is a metal forming process that produces a workpiece with a desired target cross-section from an input workpiece through a sequence of plastic deformations; each deformation is generated by a stand composed of opposing rolls…

计算工程、金融与科学 · 计算机科学 2020-07-30 R. Omar Chavez-Garcia , Emian Furger , Samuele Kronauer , Christian Brianza , Marco Scarfò , Luca Diviani , Alessandro Giusti

Beyond active material intrinsic properties, the electrode manufacturing process is a crucial step to reach high energy density and long-life of Li-ion batteries. In particular, very high pressures are applied to the electrode during the…

材料科学 · 物理学 2026-02-19 Pierrick Guichard , Benoit Mathieu , Eric Woillez
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