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Heterogeneous object design is an active research area in recent years. The conventional CAD modeling approaches only provide geometry and topology of the object, but do not contain any information with regard to the materials of the object…

计算工程、金融与科学 · 计算机科学 2010-04-22 Vikas Gupta , K. S. Kasana , Puneet Tandon

In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some functionals of the homogenized coefficients, or of the…

数值分析 · 数学 2013-01-15 Yalchin Efendiev , Cornelia Kronsbein , Frederic Legoll

We present a new dataset condensation framework termed Squeeze, Recover and Relabel (SRe$^2$L) that decouples the bilevel optimization of model and synthetic data during training, to handle varying scales of datasets, model architectures…

计算机视觉与模式识别 · 计算机科学 2024-02-13 Zeyuan Yin , Eric Xing , Zhiqiang Shen

A "through-process" solidification homogenization numerical model to study the microstructural evolution has been developed for AA7050 alloy. A continuum scale Direct Chill Casting (DCC) solidification model has been coupled with a…

应用物理 · 物理学 2023-08-29 Pikee Priya , Kyle Fezi , D. R. Johnson , M. J. M. Krane

We present a three-dimensional (3D) common-refinement method for non-matching meshes between discrete non-overlapping subdomains of incompressible fluid and nonlinear hyperelastic structure. To begin, we first investigate the accuracy of…

计算物理 · 物理学 2018-08-15 Yulong Li , Yun Zhi Law , Vaibhav Joshi , Rajeev Kumar Jaiman

The present work is a proof of concept of the capabilities of paralellization in the calculation of metamaterials in a non-linear regime. In this work we subdivided the bulk material into subregions where the mechanical properties are…

材料科学 · 物理学 2023-11-28 Antonio Tabanera , Luis Saucedo-Mora , Miguel Angel Sanz , Francisco J. Montans

In this work we propose and analyze a novel Hybrid High-Order discretization of a class of (linear and) nonlinear elasticity models in the small deformation regime which are of common use in solid mechanics. The proposed method is valid in…

数值分析 · 数学 2017-07-10 Michele Botti , Daniele Di Pietro , Pierre Sochala

Due to rapid advancements in technology, datasets are available from various domains. In order to carry out more relevant and appropriate analysis, it is often necessary to project the dataset into a higher or lower dimensional space based…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Sourav Ghosh , Chayan Maitra , Rajat K. De

Signed Distance Function (SDF)-based volume rendering has demonstrated significant capabilities in surface reconstruction. Although promising, SDF-based methods often fail to capture detailed geometric structures, resulting in visible…

计算机视觉与模式识别 · 计算机科学 2024-12-24 Yifan Wang , Di Huang , Weicai Ye , Guofeng Zhang , Wanli Ouyang , Tong He

The computational resources required to train a model have been increasing since the inception of deep networks. Training neural networks on massive datasets have become a challenging and time-consuming task. So, there arises a need to…

机器学习 · 计算机科学 2022-09-07 Devvrat Joshi , Janvi Thakkar , Siddharth Soni , Shril Mody , Rohan Patil , Nipun Batra

Homogenization is a fundamental tool for studying multiscale physical phenomena. Traditional numerical homogenization methods, heavily reliant on finite element analysis, demand significant computational resources, especially for complex…

计算工程、金融与科学 · 计算机科学 2025-03-27 Yizheng Wang , Xiang Li , Ziming Yan , Shuaifeng Ma , Jinshuai Bai , Bokai Liu , Timon Rabczuk , Yinghua Liu

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where…

计算工程、金融与科学 · 计算机科学 2023-10-10 Rebekka V. Woldseth , J. Andreas Bærentzen , Ole Sigmund

The incidence of vertebral fragility fracture is increased by the presence of preexisting pathologies such as metastatic disease. Computational tools could support the fracture prediction and consequently the decision of the best medical…

计算工程、金融与科学 · 计算机科学 2024-02-16 Chiara Garavelli , Alessandra Aldieri , Marco Palanca , Enrico Dall'Ara , Marco Viceconti

Multispectral transmission imaging provides strong benefits for early breast cancer screening. The frame accumulation method addresses the challenge of low grayscale and signal-to-noise ratio resulting from the strong absorption and…

图像与视频处理 · 电气工程与系统科学 2024-04-04 Jiatong Li , Gang Li , Nan Su Su Win , Ling Lin

We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided design (CAD) models, more specifically non-uniform rational B-splines (NURBS). This new…

数值分析 · 数学 2024-07-04 Urban Duh , Varun Shankar , Gregor Kosec

Digital Rock Imaging is constrained by detector hardware, and a trade-off between the image field of view (FOV) and the image resolution must be made. This can be compensated for with super resolution (SR) techniques that take a wide FOV,…

图像与视频处理 · 电气工程与系统科学 2020-02-18 Ying Da Wang , Ryan T. Armstrong , Peyman Mostaghimi

This paper presents preliminary work on a novel connection between certified robustness in machine learning and the modeling of 3D objects. We highlight an intriguing link between the Maximal Certified Radius (MCR) of a classifier…

计算机视觉与模式识别 · 计算机科学 2024-08-26 Gabriel Pérez S , Juan C. Pérez , Motasem Alfarra , Jesús Zarzar , Sara Rojas , Bernard Ghanem , Pablo Arbeláez

Applying dimensionality reduction (DR) to large, high-dimensional data sets can be challenging when distinguishing the underlying high-dimensional data clusters in a 2D projection for exploratory analysis. We address this problem by first…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Youngjoo Kim , Alexandru C. Telea , Scott C. Trager , Jos B. T. M. Roerdink

The paper presents two-scale numerical algorithms for stress-strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic…

偏微分方程分析 · 数学 2023-01-18 Eduard Rohan , Jan Heczko

In dynamic MRI, sufficient time resolution can often only be obtained using imaging protocols which produce undersampled data for each image in the time series. This has led to the popularity of compressed sensing (CS) based image…