3D Topology Optimization using Convolutional Neural Networks
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Abstract (arXiv)
Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology optimization, we explore a data-driven approach that can quickly generate accurate solutions. To this end, we propose a deep learning approach based on a 3D encoder-decoder Convolutional Neural Network architecture for accelerating 3D topology optimization and to determine the optimal computational strategy for its deployment. Analysis of iteration-wise progress of the Solid Isotropic Material with Penalization process is used as a guideline to study how the earlier steps of the conventional topology optimization can be used as input for our approach to predict the final optimized output structure directly from this input. We conduct a comparative study between multiple strategies for training the neural network and assess the effect of using various input combinations for the CNN to finalize the strategy with the highest accuracy in predictions for practical deployment. For the best performing network, we achieved about 40% reduction in overall computation time while also attaining structural accuracies in the order of 96%.
Key facts. Cited by 29 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Aug 2018.
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Citing papers per year: 2021: 8; 2022: 5; 2023: 7; 2024: 3; 2025: 2; 2026: 4.
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- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generationcited by 52
- 2021NTopo: Mesh-free Topology Optimization using Implicit Neural Representationscited by 41
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computingcited by 24
- 2022Topology Optimization via Machine Learning and Deep Learning: A Reviewcited by 23
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learningcited by 14
- 2023Diffusing the Optimal Topology: A Generative Optimization Approachcited by 10
- 2024Neural topology optimization: the good, the bad, and the uglycited by 10
- 2023DMF-TONN: Direct Mesh-free Topology Optimization using Neural Networkscited by 6
- 2022Concurrent build direction, part segmentation, and topology optimization for additive manufacturing using neural networkscited by 5
- 2023Graph Neural Network Based Surrogate Model of Physics Simulations for Geometry Designcited by 5
- 2023Latent Diffusion Models for Structural Component Designcited by 5
- 2023Topology Optimization using Neural Networks with Conditioning Field Initialization for Improved Efficiencycited by 3
17 more
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimizationcited by 3
- 2021Speeding up Computational Morphogenesis with Online Neural Synthetic Gradientscited by 2
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learningcited by 2
- 2021DNN-Based Topology Optimisation: Spatial Invariance and Neural Tangent Kernelcited by 2
- 2021Robust Topology Optimization Using Multi-Fidelity Variational Autoencoderscited by 2
- 2023Graph Neural Network for Stress Predictions in Stiffened Panels Under Uniform Loadingcited by 1
- 2026Trajectory-Aware Flow Matching for Topology Optimisationcited by 1
- 2021A mechanistic-based data-driven approach to accelerate structural topology optimization through finite element convolutional neural network (FE-CNN)cited by 0
- 2021An FEA surrogate model with Boundary Oriented Graph Embedding approachcited by 0
- 2022FRC-TOuNN: Topology Optimization of Continuous Fiber Reinforced Composites using Neural Networkcited by 0
- 2022SELTO: Sample-Efficient Learned Topology Optimizationcited by 0
- 2024Data-driven topology design based on principal component analysis for 3D structural design problemscited by 0
- 2025Enhanced Data-driven Topology Design Methodology with Multi-level Mesh and Correlation-based Mutation for Stress-related Multi-objective Optimizationcited by 0
- 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distributioncited by 0
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Controlcited by 0
- 2026eCNNTO: A Highly Generalizable ConvNet for Accelerating Topology Optimizationcited by 0
- 2026How the Classical Baseline Shapes Machine-Learning Speed Claims in Topology Optimizationcited by 0
- 2026How the Classical Baseline Shapes Machine-Learning Speed Claims in Topology Optimization12 Oct 2026
- 2026Trajectory-Aware Flow Matching for Topology Optimisation16 Jul 2026
- 2026eCNNTO: A Highly Generalizable ConvNet for Accelerating Topology Optimization18 Jun 2026
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Control27 Mar 2026
- 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distribution21 May 2025
- 2025Enhanced Data-driven Topology Design Methodology with Multi-level Mesh and Correlation-based Mutation for Stress-related Multi-objective Optimization21 Apr 2025
- 2024Data-driven topology design based on principal component analysis for 3D structural design problems3 Sep 2024
- 2024Neural topology optimization: the good, the bad, and the ugly19 Jul 2024
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimization7 Feb 2024
- 2023Graph Neural Network for Stress Predictions in Stiffened Panels Under Uniform Loading22 Sep 2023
- 2023Latent Diffusion Models for Structural Component Design20 Sep 2023
- 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation29 May 2023
17 more
- 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
- 2023Diffusing the Optimal Topology: A Generative Optimization Approach17 Mar 2023
- 2023Graph Neural Network Based Surrogate Model of Physics Simulations for Geometry Design1 Feb 2023
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing14 Nov 2022
- 2022Topology Optimization via Machine Learning and Deep Learning: A Review19 Oct 2022
- 2022Concurrent build direction, part segmentation, and topology optimization for additive manufacturing using neural networks4 Oct 2022
- 2022SELTO: Sample-Efficient Learned Topology Optimization12 Sep 2022
- 2022FRC-TOuNN: Topology Optimization of Continuous Fiber Reinforced Composites using Neural Network7 May 2022
- 2021An FEA surrogate model with Boundary Oriented Graph Embedding approach30 Aug 2021
- 2021Robust Topology Optimization Using Multi-Fidelity Variational Autoencoders19 Jul 2021
- 2021A mechanistic-based data-driven approach to accelerate structural topology optimization through finite element convolutional neural network (FE-CNN)25 Jun 2021
- 2021DNN-Based Topology Optimisation: Spatial Invariance and Neural Tangent Kernel10 Jun 2021
- 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learning7 May 2021
- 2021Speeding up Computational Morphogenesis with Online Neural Synthetic Gradients25 Apr 2021
- 2021NTopo: Mesh-free Topology Optimization using Implicit Neural Representations22 Feb 2021
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learning11 Feb 2021
- 2021NTopo: Mesh-free Topology Optimization using Implicit Neural Representationscited by 41
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computingcited by 24
- 2022Topology Optimization via Machine Learning and Deep Learning: A Reviewcited by 23
- 2021Real-Time Topology Optimization in 3D via Deep Transfer Learningcited by 14
- 2023Diffusing the Optimal Topology: A Generative Optimization Approachcited by 10
- 2024Neural topology optimization: the good, the bad, and the uglycited by 10
- 2023DMF-TONN: Direct Mesh-free Topology Optimization using Neural Networkscited by 6
- 2022Concurrent build direction, part segmentation, and topology optimization for additive manufacturing using neural networkscited by 5
- 2023Graph Neural Network Based Surrogate Model of Physics Simulations for Geometry Designcited 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
- 2021Speeding up Computational Morphogenesis with Online Neural Synthetic Gradientscited by 2
12 most cited of 25 All 25 (JSON)
- 2026How the Classical Baseline Shapes Machine-Learning Speed Claims in Topology Optimization12 Oct 2026
- 2026eCNNTO: A Highly Generalizable ConvNet for Accelerating Topology Optimization18 Jun 2026
- 2026AutoSiMP: Autonomous Topology Optimization from Natural Language via LLM-Driven Problem Configuration and Adaptive Solver Control27 Mar 2026
- 2025Enhanced Data-driven Topology Design Methodology with Multi-level Mesh and Correlation-based Mutation for Stress-related Multi-objective Optimization21 Apr 2025
- 2024Data-driven topology design based on principal component analysis for 3D structural design problems3 Sep 2024
- 2024Neural topology optimization: the good, the bad, and the ugly19 Jul 2024
- 2024NITO: Neural Implicit Fields for Resolution-free Topology Optimization7 Feb 2024
- 2023Graph Neural Network for Stress Predictions in Stiffened Panels Under Uniform Loading22 Sep 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
- 2023Diffusing the Optimal Topology: A Generative Optimization Approach17 Mar 2023
- 2023Graph Neural Network Based Surrogate Model of Physics Simulations for Geometry Design1 Feb 2023
12 newest of 25 All 25 (JSON)