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Page 6 of 24                             He et al. Microstructures 2023;3:2023037  https://dx.doi.org/10.20517/microstructures.2023.29

               Table 1. A brief overview of design based on band structures in infinite meta-structures
                Design   Algorithm  Meta-structure and performance  Description                       Year
                type
                Complete   MLP                                  RBF is suitable for single parameter prediction, while MLP  2019
                band     RBF-NN                                 can meet multi-parameter prediction [92]
                structures




                         CNN                                    Construct digital structure genomes through forward  2021
                                                                prediction. Thus, the target property structures can be
                                                                                      [93]
                                                                quickly extracted from the genomes




                         GAN                                    Generate optimal structure based on customized dispersion 2022
                         CNN                                    and accelerate design processes [94]






                         GAN                                    Generate and screen structures with excellent attenuation  2022
                         CNN                                    performance. The dataset is generated through secondary
                                                                                   [95]
                                                                mirroring, which lacks flexibility




                                                                Compared to MLP, TNN can solve the problem of data  2019
                Tailoring   MLP                                 inconsistency and is suitable for multi-parameter inverse
                bandgaps  TNN                                       [96]
                                                                design





                         GA                                     The model is insufficient to provide accurate predictions  2020
                         MLP                                    beyond the training data range and only performs well
                                                                within local data points [97]





                                                                The model can obtain the target modular metamaterial but  2020
                         GA                                                                   [98]
                         MLP                                    cannot find the configuration beyond the dataset









                         AE                                     Can accurately process data beyond the dataset. Only a   2020
                         MLP                                    relatively small region of the design space in RVE is
                                                                                                [99]
                                                                explored using a nine-parameter analytical function
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