On the use of Artificial Neural Networks in Topology Optimisation
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Abstract (arXiv)
The question of how methods from the field of artificial intelligence can help improve the conventional frameworks for topology optimisation has received increasing attention over the last few years. Motivated by the capabilities of neural networks in image analysis, different model-variations aimed at obtaining iteration-free topology optimisation have been proposed with varying success. Other works focused on speed-up through replacing expensive optimisers and state solvers, or reducing the design-space have been attempted, but have not yet received the same attention. The portfolio of articles presenting different applications has as such become extensive, but few real breakthroughs have yet been celebrated. An overall trend in the literature is the strong faith in the "magic" of artificial intelligence and thus misunderstandings about the capabilities of such methods. The aim of this article is therefore to present a critical review of the current state of research in this field. To this end, an overview of the different model-applications is presented, and efforts are made to identify reasons for the overall lack of convincing success. A thorough analysis identifies and differentiates between problematic and promising aspects of existing models. The resulting findings are used to detail recommendations believed to encourage avenues of potential scientific progress for further research within the field.
Key facts. Cited by 35 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Aug 2022.
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Citing papers per year: 2023: 13; 2024: 8; 2025: 7; 2026: 7.
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- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generationcited by 51
- 2023From Concept to Manufacturing: Evaluating Vision-Language Models for Engineering Designcited by 51
- 2023Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material propertiescited by 23
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Designcited by 22
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2023A neural operator-based surrogate solver for free-form electromagnetic inverse designcited by 18
- 2023Data-Driven Design for Metamaterials and Multiscale Systems: A Reviewcited by 17
- 2023Constraining Generative Models for Engineering Design with Negative Datacited by 11
- 2023Diffusing the Optimal Topology: A Generative Optimization Approachcited by 9
- 2024Neural topology optimization: the good, the bad, and the uglycited by 9
- 2025Inverse Design in Nanophotonics via Representation Learningcited by 7
- 2023Challenges and opportunities for machine learning in multiscale computational modelingcited by 6
23 more
- 2023DMF-TONN: Direct Mesh-free Topology Optimization using Neural Networkscited by 6
- 2025BikeBench: A Bicycle Design Benchmark for Generative Models with Objectives and Constraintscited by 5
- 2023Latent Diffusion Models for Structural Component Designcited by 4
- 2023Topology Optimization using Neural Networks with Conditioning Field Initialization for Improved Efficiencycited by 3
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimizationcited by 3
- 2024Neural Networks for Generating Better Local Optima in Topology Optimizationcited by 3
- 2024Consistent machine learning for topology optimization with microstructure-dependent neural network material modelscited by 3
- 2025A surrogate model for topology optimisation of elastic structures via parametric autoencoderscited by 3
- 2024Gradient-free neural topology optimization: Towards effective fracture-resistant designscited by 2
- 2025GrainPaint: A multi-scale diffusion-based generative model for microstructure reconstruction of large-scale objectscited by 2
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimizationcited by 2
- 2025Neural Co-Optimization of Structural Topology, Manufacturable Layers, and Path Orientations for Fiber-Reinforced Compositescited by 1
- 2026Large Language Models as Optimization Controllers: Adaptive Continuation for SIMP Topology Optimizationcited by 1
- 2024From Density to Geometry: YOLOv8 Instance Segmentation for Reverse Engineering of Optimized Structurescited by 0
- 2024Structural Design Through Reinforcement Learningcited by 0
- 2024Data-driven topology design based on principal component analysis for 3D structural design problemscited by 0
- 2025Diverse Topology Optimization using Modulated Neural Fieldscited by 0
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Controlcited by 0
- 2026Neural Operator-enabled Topology-informed Evolutionary Strategy for PDE-Constrained Optimizationcited by 0
- 2026Adversarial Agents on Topology Optimization: Understanding the Fragility and Robustness of Deep Learning-based and Physics-Based Design Models under Adversarial Perturbationcited by 0
- 2026HGTO: A Unified Graph-Based Physics-Informed Formulation for Structural Topology Optimizationcited by 0
- 2026Bilevel Optimization of Topology and Hyperparameters (BOTH)cited by 0
- 2026TopoMamba: A Load-Support Relation-Guided Multi-Directional State-Space Model for Topology Optimizationcited by 0
- 2026TopoMamba: A Load-Support Relation-Guided Multi-Directional State-Space Model for Topology Optimization27 Sep 2026
- 2026Bilevel Optimization of Topology and Hyperparameters (BOTH)18 Sep 2026
- 2026HGTO: A Unified Graph-Based Physics-Informed Formulation for Structural Topology Optimization14 Sep 2026
- 2026Adversarial Agents on Topology Optimization: Understanding the Fragility and Robustness of Deep Learning-based and Physics-Based Design Models under Adversarial Perturbation23 Aug 2026
- 2026Neural Operator-enabled Topology-informed Evolutionary Strategy for PDE-Constrained Optimization8 Jul 2026
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Control27 Mar 2026
- 2026Large Language Models as Optimization Controllers: Adaptive Continuation for SIMP Topology Optimization26 Mar 2026
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimization26 Oct 2025
- 2025A surrogate model for topology optimisation of elastic structures via parametric autoencoders30 Jul 2025
- 2025Inverse Design in Nanophotonics via Representation Learning1 Jul 2025
- 2025BikeBench: A Bicycle Design Benchmark for Generative Models with Objectives and Constraints25 May 2025
- 2025Neural Co-Optimization of Structural Topology, Manufacturable Layers, and Path Orientations for Fiber-Reinforced Composites30 Apr 2025
23 more
- 2025GrainPaint: A multi-scale diffusion-based generative model for microstructure reconstruction of large-scale objects18 Feb 2025
- 2025Diverse Topology Optimization using Modulated Neural Fields17 Feb 2025
- 2024Data-driven topology design based on principal component analysis for 3D structural design problems3 Sep 2024
- 2024Consistent machine learning for topology optimization with microstructure-dependent neural network material models25 Aug 2024
- 2024Neural Networks for Generating Better Local Optima in Topology Optimization25 Jul 2024
- 2024Neural topology optimization: the good, the bad, and the ugly19 Jul 2024
- 2024Structural Design Through Reinforcement Learning10 Jul 2024
- 2024From Density to Geometry: YOLOv8 Instance Segmentation for Reverse Engineering of Optimized Structures29 Apr 2024
- 2024Gradient-free neural topology optimization: Towards effective fracture-resistant designs7 Mar 2024
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimization7 Feb 2024
- 2023From Concept to Manufacturing: Evaluating Vision-Language Models for Engineering Design21 Nov 2023
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2023Latent Diffusion Models for Structural Component Design20 Sep 2023
- 2023Data-Driven Design for Metamaterials and Multiscale Systems: A Review1 Jul 2023
- 2023Constraining Generative Models for Engineering Design with Negative Data27 Jun 2023
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation29 May 2023
- 2023Topology Optimization using Neural Networks with Conditioning Field Initialization for Improved Efficiency17 May 2023
- 2023DMF-TONN: Direct Mesh-free Topology Optimization using Neural Networks6 May 2023
- 2023Challenges and opportunities for machine learning in multiscale computational modeling22 Mar 2023
- 2023Diffusing the Optimal Topology: A Generative Optimization Approach17 Mar 2023
- 2023Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material properties24 Feb 2023
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Design6 Feb 2023
- 2023A neural operator-based surrogate solver for free-form electromagnetic inverse design4 Feb 2023
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generationcited by 51
- 2023Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material propertiescited by 23
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Designcited by 22
- 2023Latent Diffusion Models for Structural Component Designcited by 4
- 2025GrainPaint: A multi-scale diffusion-based generative model for microstructure reconstruction of large-scale objectscited by 2
- 2025GrainPaint: A multi-scale diffusion-based generative model for microstructure reconstruction of large-scale objects18 Feb 2025
- 2023Latent Diffusion Models for Structural Component Design20 Sep 2023
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation29 May 2023
- 2023Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material properties24 Feb 2023
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Design6 Feb 2023
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2023A neural operator-based surrogate solver for free-form electromagnetic inverse designcited by 18
- 2023Data-Driven Design for Metamaterials and Multiscale Systems: A Reviewcited by 17
- 2023Constraining Generative Models for Engineering Design with Negative Datacited by 11
- 2023Diffusing the Optimal Topology: A Generative Optimization Approachcited by 9
- 2024Neural topology optimization: the good, the bad, and the uglycited by 9
- 2025Inverse Design in Nanophotonics via Representation Learningcited by 7
- 2023Challenges and opportunities for machine learning in multiscale computational modelingcited by 6
- 2023DMF-TONN: Direct Mesh-free Topology Optimization using Neural Networkscited by 6
- 2025BikeBench: A Bicycle Design Benchmark for Generative Models with Objectives and Constraintscited by 5
- 2023Topology Optimization using Neural Networks with Conditioning Field Initialization for Improved Efficiencycited by 3
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimizationcited by 3
12 most cited of 29 All 29 (JSON)
- 2026TopoMamba: A Load-Support Relation-Guided Multi-Directional State-Space Model for Topology Optimization27 Sep 2026
- 2026Bilevel Optimization of Topology and Hyperparameters (BOTH)18 Sep 2026
- 2026HGTO: A Unified Graph-Based Physics-Informed Formulation for Structural Topology Optimization14 Sep 2026
- 2026Adversarial Agents on Topology Optimization: Understanding the Fragility and Robustness of Deep Learning-based and Physics-Based Design Models under Adversarial Perturbation23 Aug 2026
- 2026Neural Operator-enabled Topology-informed Evolutionary Strategy for PDE-Constrained Optimization8 Jul 2026
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Control27 Mar 2026
- 2026Large Language Models as Optimization Controllers: Adaptive Continuation for SIMP Topology Optimization26 Mar 2026
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimization26 Oct 2025
- 2025A surrogate model for topology optimisation of elastic structures via parametric autoencoders30 Jul 2025
- 2025Inverse Design in Nanophotonics via Representation Learning1 Jul 2025
- 2025BikeBench: A Bicycle Design Benchmark for Generative Models with Objectives and Constraints25 May 2025
- 2025Neural Co-Optimization of Structural Topology, Manufacturable Layers, and Path Orientations for Fiber-Reinforced Composites30 Apr 2025
12 newest of 29 All 29 (JSON)