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Robust optimization is becoming increasingly important in machine learning applications. In this paper, we study a unified framework of robust submodular optimization. We study this problem both from a minimization and maximization…

机器学习 · 计算机科学 2021-03-22 Rishabh Iyer

A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

最优化与控制 · 数学 2026-02-24 Luise Blank , Maximilian Urmann

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

数值分析 · 数学 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

Interest in components with detailed structures increased with the progress in advanced manufacturing techniques in recent years. Parts with graded lattice elements can provide interesting mechanical, thermal, and acoustic properties…

计算工程、金融与科学 · 计算机科学 2023-06-29 Daniel Hübner , Fabian Wein , Michael Stingl

Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time-consuming to procure. A novel relation between modal and…

介观与纳米尺度物理 · 物理学 2020-12-22 Petr Henyš , Danas Sutula , Jiří Kopal , Michal Kuchař , Lukáš Čapek

Dielectric structures composed of many inclusions that manipulate light in ways the bulk materials cannot are commonly seen in the field of metamaterials. In these structures, each inclusion depends on a set of parameters such as location…

计算物理 · 物理学 2019-03-05 Boaz Blankrot , Clemens Heitzinger

Structural optimization is a popular method for designing objects such as bridge trusses, airplane wings, and optical devices. Unfortunately, the quality of solutions depends heavily on how the problem is parameterized. In this paper, we…

机器学习 · 计算机科学 2019-09-17 Stephan Hoyer , Jascha Sohl-Dickstein , Sam Greydanus

Modular design maximizes utility by using standardized components in large-scale systems. From a manufacturing perspective, it supports green technology by reducing material waste and improving reusability. Industrially, it offers economic…

新兴技术 · 计算机科学 2025-03-18 Sumin Lee , Namwoo Kang

This work presents a rigorous mathematical formulation for topology optimization of a macrostructure undergoing ductile failure. The prediction of ductile solid materials which exhibit dominant plastic deformation is an intriguingly…

数值分析 · 数学 2023-03-22 Nima Noii , Hassan Ali Jahangiry , Haim Waisman

Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with enhanced sustainability by means of component reuse. For…

材料科学 · 物理学 2022-05-25 Marek Tyburec , Martin Doškář , Jan Zeman , Martin Kružík

Explicitly accounting for uncertainties is paramount to the safety of engineering structures. Optimization which is often carried out at the early stage of the structural design offers an ideal framework for this task. When the…

统计方法学 · 统计学 2022-12-14 M. Moustapha , A. Galimshina , G. Habert , B. Sudret

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees of freedom of such a model can be partitioned in free and prescribed sets to define the boundary…

计算工程、金融与科学 · 计算机科学 2022-04-06 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

In this paper, we consider the alignment between an upstream dimensionality reduction task of learning a low-dimensional representation of a set of high-dimensional data and a downstream optimization task of solving a stochastic program…

机器学习 · 计算机科学 2024-03-13 Long He , Ho-Yin Mak

This work presents a robust design optimization approach for a char combustion process in a limited-data setting, where simulations of the fluid-solid coupled system are computationally expensive. We integrate a polynomial dimensional…

最优化与控制 · 数学 2025-03-11 Yulin Guo , Dongjin Lee , Boris Kramer

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

计算工程、金融与科学 · 计算机科学 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

The design of porous infill structures presents significant challenges due to their complex geometric configurations, such as the accurate representation of geometric boundaries and the control of localized maximum stress. In current…

最优化与控制 · 数学 2025-10-14 Shuzhi Xu , Hiroki Kawabe , Kentaro Yaji

The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even…

计算工程、金融与科学 · 计算机科学 2022-03-22 Junpeng Wang , Jun Wu , Rüdiger Westermann

A posteriori error estimates are derived in the context of two-dimensional structural elastic shape optimization under the compliance objective. It is known that the optimal shape features are microstructures that can be constructed using…

数值分析 · 数学 2015-01-30 Benedict Geihe , Martin Rumpf

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

计算工程、金融与科学 · 计算机科学 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund