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Understanding how segmentation performance scales with training data is fundamental for developing data-efficient medical AI systems. In this study, we systematically revisit data scaling behavior across 15 anatomical segmentation tasks…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yuetan Chu , Zhongyi Han , Gongning Luo , Xin Gao

This work presents the application of a recently developed parametric, non-intrusive, and multi-fidelity reduced-order modeling method on high-dimensional displacement and stress fields arising from the structural analysis of geometries…

Machine Learning · Computer Science 2022-06-15 Christian Perron , Darshan Sarojini , Dushhyanth Rajaram , Jason Corman , Dimitri Mavris

Uniform flow distribution across parallel channels directly impacts the performance and efficiency of many fluid and energy systems. However, designing efficient flow manifolds that ensure uniform flow distribution remains a challenge. This…

Fluid Dynamics · Physics 2025-10-06 Sanjay Vermani , Nitish Anand

In the reduced order modeling (ROM) framework, the solution of a parametric partial differential equation is approximated by combining the high-fidelity solutions of the problem at hand for several properly chosen configurations. Examples…

Numerical Analysis · Mathematics 2019-05-16 Nicola Demo , Marco Tezzele , Andrea Mola , Gianluigi Rozza

Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogenization algorithm has become widely used due to its…

Materials Science · Physics 2025-04-15 Sascha H. Hauck , Matthias Kabel , Mazen Ali , Nicolas R. Gauger

As technology scaling is approaching the physical limit, lithography hotspot detection has become an essential task in design for manufacturability. While the deployment of pattern matching or machine learning in hotspot detection can help…

Machine Learning · Computer Science 2021-08-02 Xuezhong Lin , Jingyu Pan , Jinming Xu , Yiran Chen , Cheng Zhuo

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

Reconfigurable intelligent metasurfaces have been proposed as an efficient solution for improving wireless telecommunication systems in multiple scattering or reverberating media. Concurrently, topology optimization has been successfully…

Applied Physics · Physics 2023-11-07 Theodosios D. Karamanos , Mathias Fink , Fabrice Lemoult

Topology Optimization (TO) provides a systematic approach for obtaining structure design with optimum performance of interest. However, the process requires numerical evaluation of objective function and constraints at each iteration, which…

Machine Learning · Computer Science 2022-03-22 Ren Kai Tan , Chao Qian , Dan Xu , Wenjing Ye

First order shape optimization methods, in general, require a large number of iterations until they reach a locally optimal design. While higher order methods can significantly reduce the number of iterations, they exhibit only local…

Numerical Analysis · Mathematics 2026-04-01 A. Cesarano , B. Endtmayer , P. Gangl

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

We develop a reduced-order framework for optimizing mixing in two-dimensional incompressible flows. Instead of optimizing the full transport PDE, the method maximizes the length of advected material interfaces, leading to a…

Numerical Analysis · Mathematics 2026-05-07 Ziqian Li , Enrique Zuazua

Many machine learning tasks, such as principal component analysis and low-rank matrix completion, give rise to manifold optimization problems. Although there is a large body of work studying the design and analysis of algorithms for…

Machine Learning · Computer Science 2024-06-13 Jiaojiao Zhang , Jiang Hu , Anthony Man-Cho So , Mikael Johansson

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

Computational Engineering, Finance, and Science · Computer Science 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima, we want to solve the first order optimality system via…

Optimization and Control · Mathematics 2026-01-08 P. Gangl , M. Winkler

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the combined effects of a prescribed external loading and the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-14 Helen E. Fairclough , Karol Bolbotowski , Linwei He , Andrew Liew , Matthew Gilbert

Multimodal representation learning aims to capture both shared and complementary semantic information across multiple modalities. However, the intrinsic heterogeneity of diverse modalities presents substantial challenges to achieve…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Chengxuan Qian , Shuo Xing , Shawn Li , Yue Zhao , Zhengzhong Tu

Modern and future high precision pointing space missions face increasingly high challenges related to the widespread use of large flexible structures. The development of new modeling tools which are able to account for the multidisciplinary…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Antonio Finozzi , Francesco Sanfedino , Daniel Alazard

Meta-devices have gained significant attention and have been widely utilized in optical systems for focusing and imaging, owing to their lightweight, high-integration, and exceptional-flexibility capabilities. However, based on the…