mlsanityData to 14 Oct 2026

A deep Convolutional Neural Network for topology optimization with strong generalization ability

arXiv 1901.07761 ↗First posted 23 Jan 2019cs.LG stat.MLcited by 17

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Abstract (arXiv)

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and up-sampling operations. In addition, a popular technique, namely U-Net, was adopted to improve the performance of the proposed neural network. The input of the neural network is a well-designed tensor with each channel includes different information for the problem, and the output is the layout of the optimal structure. To train the neural network, a large dataset is generated by a conventional topology optimization approach, i.e. SIMP. The performance of the proposed method was evaluated by comparing its efficiency and accuracy with SIMP on a series of typical optimization problems. Results show that a significant reduction in computation cost was achieved with little sacrifice on the optimality of design solutions. Furthermore, the proposed method can intelligently solve problems under boundary conditions not being included in the training dataset.

Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 Jan 2019.

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Citing papers per year: 2021: 8; 2022: 3; 2023: 2; 2024: 2; 2025: 1; 2026: 1.

17 papers.

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  1. 2021NTopo: Mesh-free Topology Optimization using Implicit Neural Representationscited by 41
  2. 2021BIKED: A Dataset for Computational Bicycle Design with Machine Learning Benchmarkscited by 27
  3. 2022Topology Optimization via Machine Learning and Deep Learning: A Reviewcited by 23
  4. 2023Deep Learning in Deterministic Computational Mechanicscited by 21
  5. 2021Real-Time Topology Optimization in 3D via Deep Transfer Learningcited by 14
  6. 2021De-homogenization using Convolutional Neural Networkscited by 7
  7. 2021An adaptive artificial neural network-based generative design method for layout designscited by 5
  8. 2023Latent Diffusion Models for Structural Component Designcited by 5
  9. 2021Speeding up Computational Morphogenesis with Online Neural Synthetic Gradientscited by 2
  10. 2021GANTL: Towards Practical and Real-Time Topology Optimization with Conditional GANs and Transfer Learningcited by 2
  11. 2022Exploring the structure-property relations of thin-walled, 2D extruded lattices using neural networkscited by 1
  12. 2021An FEA surrogate model with Boundary Oriented Graph Embedding approachcited by 0
5 more
  1. 2022SELTO: Sample-Efficient Learned Topology Optimizationcited by 0
  2. 2024Data-driven topology design based on principal component analysis for 3D structural design problemscited by 0
  3. 2024ExIQA: Explainable Image Quality Assessment Using Distortion Attributescited by 0
  4. 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distributioncited by 0
  5. 2026How the Classical Baseline Shapes Machine-Learning Speed Claims in Topology Optimizationcited by 0