“…Target application References Model functionality MLP Natural material [33,61,62] Provide acceleration and approximate simulation for traditional computational physics and inverse design [65][66][67][68][69][70] Predict material properties, such as formation energy, band gap, melting point, and promote the discovery of new materials Metamaterial [44,71,72,[74][75][76] Predict the relationship between the structural parameters of metamaterials and the electromagnetic response; realize on-demand inverse design [34,45,73] Optimize the design method, reduce the amount of calculation, and make the automatic design possible CNN Natural material [47,59,78,79] Simulate the periodic structure, accurately and quickly predict its performance based on the material Metamaterial [31,48,80] Solve the inverse design problem between structure and response [81][82][83] Advanced models promote the development of metamaterial intelligent design GNN Natural material [52,53,89] predict the historically related responses of materials [90][91][92] Accelerate the multi-scale simulation of composite materials Metamaterial [93] Predict the relationship between spatial information and absorption spectra RNN Natural material [48, 57, 58, 100-102, 104, 105] Take into account the interaction between particles in the material, so as to flexibly predict material properties. Improve the interpretability of the model…”