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Modeling of cancellous bone has important applications in the detection and treatment of fatigue fractures and diseases like osteoporosis. In this paper, we present a fully coupled multiscale approach considering mechanical, electrical and…

Computational Engineering, Finance, and Science · Computer Science 2021-06-14 Mischa Blaszczyk , Klaus Hackl

Deep learning models in medical imaging are susceptible to shortcut learning, relying on confounding metadata (e.g., scanner model) that is often encoded in image embeddings. The crucial question is whether the model actively utilizes this…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Chun Kit Wong , Paraskevas Pegios , Nina Weng , Emilie Pi Fogtmann Sejer , Martin Grønnebæk Tolsgaard , Anders Nymark Christensen , Aasa Feragen

Recently, many researchers have advanced data-driven methods for modeling heterogeneous treatment effects (HTEs). Even still, estimation of HTEs is a difficult task -- these methods frequently over- or under-estimate the treatment effects,…

Methodology · Statistics 2022-03-28 Yizhe Xu , Steve Yadlowsky

Tails serve various functions in both robotics and biology, including expression, grasping, and defense. The vertebrate tails associated with these functions exhibit diverse patterns of vertebral lengths, but the precise mechanisms linking…

We consider hyperelastic problems and their numerical solution using a conforming finite element discretization and iterative linearization algorithms. For these problems, we present equilibrated, weakly symmetric, $H(\rm{div)}$-conforming…

Numerical Analysis · Mathematics 2017-10-19 Michele Botti , Rita Riedlbeck

Reproducibility of a deep-learning fully convolutional neural network is evaluated by training several times the same network on identical conditions (database, hyperparameters, hardware) with non-deterministic Graphics Processings Unit…

Machine Learning · Computer Science 2021-06-01 Wagner Gonçalves Pinto , Antonio Alguacil , Michaël Bauerheim

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

Rapid progress in additive manufacturing methods has created a new class of ultralight and strong architected metamaterials that resemble periodic truss structures. The mechanical performance of these metamaterials with a very large number…

Materials Science · Physics 2021-06-09 Angkur Jyoti Dipanka Shaikeea , Huachen Cui , Mark R. O'Masta , Xiaoyu , Zheng , Vikram S. Deshpande

Several novel imaging and non-destructive testing technologies are based on reconstructing the spatially dependent coefficient in an elliptic partial differential equation from measurements of its solution(s). In practical applications, the…

Numerical Analysis · Mathematics 2021-08-27 Bastian Harrach

Background: True cognitive longitudinal decline can be obscured by repeated testing, which is called practice effects (PEs). We developed a modeling framework that aligns participants by baseline and estimates visit-specific PEs…

Methodology · Statistics 2025-11-27 Y. Xu , T. Wu , A. Van Dyne , E. Lee , L. Eyler , X. Tu

This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The damage effect is built into the model through a parabolic…

Numerical Analysis · Mathematics 2019-12-18 Weimin Han , Michal Jureczka , Anna Ochal

The present endeavor numerically exploits the use of a phase-field model to simulate and investigate fracture patterns, deformation mechanisms, damage, and mechanical responses in a human vertebra after the incision of pedicle screws under…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Deison Preve , Pietro Lenarda , Daniele Bianchi , Alessio Gizzi

Machine learning has demonstrated remarkable performance over finite datasets, yet whether the scores over the fixed benchmarks can sufficiently indicate the model's performance in the real world is still in discussion. In reality, an ideal…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Peiyan Zhang , Haoyang Liu , Chaozhuo Li , Xing Xie , Sunghun Kim , Haohan Wang

Bone is a living material. It adapts, in an optimal sense, to loading by changing its density and trabeculae architecture - a process termed remodelling. Implanted orthopaedic devices can significantly alter the loading on the surrounding…

Tissues and Organs · Quantitative Biology 2017-05-24 H. Liedtke , A. T. McBride , S. Sivarasu , S. Roche

This research rigorously investigates the convergence of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in elastic solids. We specifically examine a novel Ambrosio-Tortorelli (AT1)…

Numerical Analysis · Mathematics 2025-07-02 Ram Manohar , S. M. Mallikarjunaiah

We derive efficient and reliable goal-oriented error estimations, and devise adaptive mesh procedures for the finite element method that are based on the localization of a posteriori estimates. In our previous work [SIAM J. Sci. Comput.,…

Numerical Analysis · Mathematics 2020-03-23 Bernhard Endtmayer , Ulrich Langer , Thomas Wick

We present quantitative means for assessing the numerical accuracy of static magnetic field calculations in finite-element models. Our calculations use the three-dimensional Opera simulation software suite of Dassault Syst`emes. Our need to…

Accelerator Physics · Physics 2021-06-03 J. A. Crittenden

We propose a two-scale finite element method designed for heterogeneous microstructures. Our approach exploits domain diffeomorphisms between the microscopic structures to gain computational efficiency. By using a conveniently constructed…

Numerical Analysis · Mathematics 2024-10-24 Omar Richardson , Omar Lakkis , Adrian Muntean , Chandrasekhar Venkataraman

Standard (network) meta-analysis methods for medical test accuracy evaluation analyse the data separately for each test threshold - wasting data - unless every study reports all thresholds. Previously proposed "multiple threshold" models…

Microcantilever specimens for in-plane and out-ofplane bending tests are here analyzed. Experimental validation of 2D and 3D numerical models is performed. Main features of in-plane and out-of-plane layouts are then discussed. Effectiveness…

Other Computer Science · Computer Science 2008-12-18 Eugenio Brusa , Antonio Della-Gaspera , Mircea Gh. Munteanu