A Novel Topology Optimization Approach using Conditional Deep Learning
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Abstract (arXiv)
In this study, a novel topology optimization approach based on conditional Wasserstein generative adversarial networks (CWGAN) is developed to replicate the conventional topology optimization algorithms in an extremely computationally inexpensive way. CWGAN consists of a generator and a discriminator, both of which are deep convolutional neural networks (CNN). The limited samples of data, quasi-optimal planar structures, needed for training purposes are generated using the conventional topology optimization algorithms. With CWGANs, the topology optimization conditions can be set to a required value before generating samples. CWGAN truncates the global design space by introducing an equality constraint by the designer. The results are validated by generating an optimized planar structure using the conventional algorithms with the same settings. A proof of concept is presented which is known to be the first such illustration of fusion of CWGANs and topology optimization.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Jan 2019.
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Citing papers per year: 2021: 5; 2022: 4; 2023: 3; 2024: 1; 2025: 2; 2026: 2.
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- 2022Diffusion Models Beat GANs on Topology Optimizationcited by 79
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generationcited by 51
- 2022Topology Optimization via Machine Learning and Deep Learning: A Reviewcited by 22
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learningcited by 14
- 2021An adaptive artificial neural network-based generative design method for layout designscited by 5
- 2023Latent Diffusion Models for Structural Component Designcited by 4
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimizationcited by 3
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimizationcited by 2
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learningcited by 1
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping processcited by 1
- 2021Improving Solar Cell Metallization Designs using Convolutional Neural Networkscited by 0
5 more
- 2021SuperMeshing: A New Deep Learning Architecture for Increasing the Mesh Density of Metal Forming Stress Field with Attention Mechanism and Perceptual Featurescited by 0
- 2022SELTO: Sample-Efficient Learned Topology Optimizationcited by 0
- 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distributioncited by 0
- 2026TopoEdit: Fast Post-Optimization Editing of Topology Optimized Structurescited 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
- 2026Adversarial Agents on Topology Optimization: Understanding the Fragility and Robustness of Deep Learning-based and Physics-Based Design Models under Adversarial Perturbation23 Aug 2026
- 2026TopoEdit: Fast Post-Optimization Editing of Topology Optimized Structures25 Feb 2026
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimization26 Oct 2025
- 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distribution21 May 2025
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimization7 Feb 2024
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2023Latent Diffusion Models for Structural Component Design20 Sep 2023
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation29 May 2023
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping process1 Dec 2022
- 2022Topology Optimization via Machine Learning and Deep Learning: A Review19 Oct 2022
- 2022SELTO: Sample-Efficient Learned Topology Optimization12 Sep 2022
- 2022Diffusion Models Beat GANs on Topology Optimization20 Aug 2022
5 more
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learning7 May 2021
- 2021Improving Solar Cell Metallization Designs using Convolutional Neural Networks8 Apr 2021
- 2021SuperMeshing: A New Deep Learning Architecture for Increasing the Mesh Density of Metal Forming Stress Field with Attention Mechanism and Perceptual Features12 Mar 2021
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learning11 Feb 2021
- 2021An adaptive artificial neural network-based generative design method for layout designs29 Jan 2021
- 2022Topology Optimization via Machine Learning and Deep Learning: A Reviewcited by 22
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learningcited by 14
- 2021An adaptive artificial neural network-based generative design method for layout designscited by 5
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimizationcited by 3
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimizationcited by 2
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learningcited by 1
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping processcited by 1
- 2021Improving Solar Cell Metallization Designs using Convolutional Neural Networkscited by 0
- 2021SuperMeshing: A New Deep Learning Architecture for Increasing the Mesh Density of Metal Forming Stress Field with Attention Mechanism and Perceptual Featurescited by 0
- 2022SELTO: Sample-Efficient Learned Topology Optimizationcited by 0
- 2026TopoEdit: Fast Post-Optimization Editing of Topology Optimized Structurescited by 0
12 most cited of 13 All 13 (JSON)
- 2026Adversarial Agents on Topology Optimization: Understanding the Fragility and Robustness of Deep Learning-based and Physics-Based Design Models under Adversarial Perturbation23 Aug 2026
- 2026TopoEdit: Fast Post-Optimization Editing of Topology Optimized Structures25 Feb 2026
- 2025Optimize Any Topology: A Foundation Model for Shape- and Resolution-Free Structural Topology Optimization26 Oct 2025
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimization7 Feb 2024
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping process1 Dec 2022
- 2022Topology Optimization via Machine Learning and Deep Learning: A Review19 Oct 2022
- 2022SELTO: Sample-Efficient Learned Topology Optimization12 Sep 2022
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learning7 May 2021
- 2021Improving Solar Cell Metallization Designs using Convolutional Neural Networks8 Apr 2021
- 2021SuperMeshing: A New Deep Learning Architecture for Increasing the Mesh Density of Metal Forming Stress Field with Attention Mechanism and Perceptual Features12 Mar 2021
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learning11 Feb 2021
12 newest of 13 All 13 (JSON)