Diverse Topology Optimization using Modulated Neural Fields

Fuente: arXiv
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Autori principali: Radler, Andreas, Volkmann, Eric, Brandstetter, Johannes, Berzins, Arturs
Natura: Preprint
Pubblicazione: 2025
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author Radler, Andreas
Volkmann, Eric
Brandstetter, Johannes
Berzins, Arturs
author_facet Radler, Andreas
Volkmann, Eric
Brandstetter, Johannes
Berzins, Arturs
contents Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the exploration of alternative designs. To address this limitation, we introduce Topology Optimization using Modulated Neural Fields (TOM) - a data-free method that trains a neural network to generate structurally compliant shapes and explores diverse solutions through an explicit diversity constraint. The network is trained with a solver-in-the-loop, optimizing the material distribution in each iteration. The trained model produces diverse shapes that closely adhere to the design requirements. We validate TOM on 2D and 3D TO problems. Our results show that TOM generates more diverse solutions than any previous method, all while maintaining near-optimality and without relying on a dataset. These findings open new avenues for engineering and design, offering enhanced flexibility and innovation in structural optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2502_13174
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Diverse Topology Optimization using Modulated Neural Fields
Radler, Andreas
Volkmann, Eric
Brandstetter, Johannes
Berzins, Arturs
Machine Learning
Materials Science
Artificial Intelligence
Computer Vision and Pattern Recognition
Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the exploration of alternative designs. To address this limitation, we introduce Topology Optimization using Modulated Neural Fields (TOM) - a data-free method that trains a neural network to generate structurally compliant shapes and explores diverse solutions through an explicit diversity constraint. The network is trained with a solver-in-the-loop, optimizing the material distribution in each iteration. The trained model produces diverse shapes that closely adhere to the design requirements. We validate TOM on 2D and 3D TO problems. Our results show that TOM generates more diverse solutions than any previous method, all while maintaining near-optimality and without relying on a dataset. These findings open new avenues for engineering and design, offering enhanced flexibility and innovation in structural optimization.
title Diverse Topology Optimization using Modulated Neural Fields
topic Machine Learning
Materials Science
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.13174