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He et al. Microstructures 2023;3:2023037 https://dx.doi.org/10.20517/microstructures.2023.29 Page 7 of 24

GA Fast forward search to obtain the maximum bandgap 2021
MLP structure. Performed well in both single-objective and
multi-objective optimization designs [100]

MLP Flexible design of meta-structures based on target bandgap 2022
for vibration isolation. The designed structure has been
experimentally verified [101]

Arch-shaped vibration isolation structure inspired by the 2022
TNN
Roman Bridge. The TNN model can design structure
accurately based on target bandgaps and verified through
[102]
experiments

RL Efficient interactive inverse design for layered phononic 2020
crystals. For the same model, simply changing the objective
[103]
function can easily achieve different designs

RL Designing one-dimensional diatomic and hexatomic lattice 2021
GA chains based on RL. The rate of convergence is much faster
than the baseline GA [104]

RL Designing a one-dimensional phononic beam based on RL. 2022
The model still maintains an efficient and stable exploration
ability in the huge parameter space [105]