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This paper provides a normalized field product approach for topology optimization to achieve close-to-binary optimal designs. The method employs a parameter-free density measure that implicitly enforces a minimum length scale on the solid…

Computational Engineering, Finance, and Science · Computer Science 2024-12-25 Nikhil Singh , Prabhat Kumar , Anupam Saxena

We propose a novel cut finite element method for the numerical solution of the Biot system of poroelasticity. The Biot system couples elastic deformation of a porous solid with viscous fluid flow and commonly arises on domains with complex…

Numerical Analysis · Mathematics 2026-02-10 Nanna Berre , Kent-Andre Mardal , André Massing , Ivan Yotov

We propose parameter optimization techniques for weighted ensemble sampling of Markov chains in the steady-state regime. Weighted ensemble consists of replicas of a Markov chain, each carrying a weight, that are periodically resampled…

Numerical Analysis · Mathematics 2022-04-22 David Aristoff , Daniel M. Zuckerman

Purpose: The purpose is to design a novelty automatic diagnostic method for osteoporosis screening by using the potential capability of convolutional neural network (CNN) in feature representation and extraction, which can be incorporated…

Medical Physics · Physics 2019-10-16 Chao Tang , Wenkun Zhang , Haiting Li , Lei Li , Ziheng Li , Ailong Cai , Linyuan Wang , Dapeng Shi , Bin Yan

We study the approximability of instances of the minimum entropy set cover problem, parameterized by the average frequency of a random element in the covering sets. We analyze an algorithm combining a greedy approach with another one biased…

Data Structures and Algorithms · Computer Science 2012-08-01 Cosmin Bonchis , Gabriel Istrate

Background: Osteoporosis and osteopenia are often undiagnosed until fragility fractures occur. Dual-energy X-ray absorptiometry (DXA) is the reference standard for bone mineral density (BMD) assessment, but access remains limited. Knee…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Zhaochen Li , Xinghao Yan , Runni Zhou , Xiaoyang Li , Chenjie Zhu , Gege Wang , Yu Shi , Lixin Zhang , Rongrong Fu , Liehao Yan , Yuan Chai

It can be difficult to identify ways to reduce the complexity of large models whilst maintaining predictive power, particularly where there are hidden parameter interdependencies. Here, we demonstrate that the analysis of model sloppiness…

This work proposes a gradient-based method to design bone implants using triply-periodic minimal surfaces (TPMS) of spatially varying thickness to maximize bone in-growth. Bone growth into the implant is estimated using a finite element…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 David Cohen , Julián A. Norato

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

Scaffolds have a key role in the clinical success of tissue engineering for the regeneration of damaged tissues. Their bio-performance is often described as the extent to which they can provide an extracellular matrix-like environment for…

Biological Physics · Physics 2026-02-03 A. M. Maadani , F. Davoodian , E. Salahinejad

In this paper, we propose a novel optimization criterion that leverages features of the skew normal distribution to better model the problem of personalized recommendation. Specifically, the developed criterion borrows the concept and the…

Information Retrieval · Computer Science 2020-05-28 Chuan-Ju Wang , Yu-Neng Chuang , Chih-Ming Chen , Ming-Feng Tsai

Models with fewer parameters are often easier to interpret and more robust. Parsimony can be achieved through optimizing objectives like the AIC or BIC, which are functions of the the number of free parameters in the model. Optimizing this…

Methodology · Statistics 2026-04-21 Mateen R Shaikh

In the area of magnetic resonance imaging (MRI), an extensive range of non-linear reconstruction algorithms have been proposed that can be used with general Fourier subsampling patterns. However, the design of these subsampling patterns has…

Image and Video Processing · Electrical Eng. & Systems 2018-05-04 Baran Gözcü , Rabeeh Karimi Mahabadi , Yen-Huan Li , Efe Ilıcak , Tolga Çukur , Jonathan Scarlett , Volkan Cevher

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Nicolò Pollini , Oded Amir

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

Mathematical Physics · Physics 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier

This paper introduces an elasticity reconstruction method based on local displacement observations of elastic bodies. Sparse reconstruction theory is applied to formulate the underdetermined inverse problems of elasticity reconstruction…

Machine Learning · Computer Science 2019-02-26 Megumi Nakao , Mitsuki Morita , Tetsuya Matsuda

Automated segmentation is a fundamental medical image analysis task, which enjoys significant advances due to the advent of deep learning. While foundation models have been useful in natural language processing and some vision tasks for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Hanxue Gu , Haoyu Dong , Jichen Yang , Maciej A. Mazurowski

We propose a method for estimating the bone mineral density (BMD) from a plain x-ray image. Dual-energy X-ray absorptiometry (DXA) and quantitative computed tomography (QCT) provide high accuracy in diagnosing osteoporosis; however, these…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Yi Gu , Yoshito Otake , Keisuke Uemura , Mazen Soufi , Masaki Takao , Nobuhiko Sugano , Yoshinobu Sato

When they are damaged or injured, soft biological tissues are able to self-repair and heal. Mechanics is critical during the healing process, as the damaged extracellular matrix (ECM) tends to be replaced with a new undamaged ECM supporting…

Computational Engineering, Finance, and Science · Computer Science 2021-12-08 Di Zuo , Yiqian He , Stéphane Avril , Haitian Yang , Klaus Hackl

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

Computational Engineering, Finance, and Science · Computer Science 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann