4.7 Article

High-risk prediction localization: evaluating the reliability of black box models for topology optimization

Journal

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 62, Issue 6, Pages 3053-3069

Publisher

SPRINGER
DOI: 10.1007/s00158-020-02648-7

Keywords

Topology optimization; Neural network; Error distribution

Funding

  1. National Natural Science Foundation of China [51805397, 61805185]
  2. Fundamental Research Funds for the Central Universities [JB190408, JB190415]

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Evaluating the reliability of black box models for topology optimization is a critical yet understudied problem. In this work, we advance the state of the art by localizing the high-risk predictions via estimating the normalized error distribution without training the model. In particular, we first find that the shape of the error distribution is insensitive to the model-related factors, while sensitive to the initial settings of the optimization problem. Then, a sensitivity function using a modified Laplacian operator is developed, which is strongly correlated to the normalized error distribution; thus, it can be utilized as its priori representation. Finally, the proposed method is validated to a decent accuracy via different cases.

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