Prediction and inverse design of bandgaps in acoustic metamaterials using deep learning and metaheuristic optimization techniquesAmirhossein Farajollahi and Mir Masoud Seyyed FakhrabadiEur. Phys. J. Plus, 140 3 (2025) 213DOI: https://doi.org/10.1140/epjp/s13360-025-06114-5