Recent wisdom for the construction of flat bands is applicable even with randomness. Characterization of special features of the random flat bands has been successfully done by using machine learning. Have a look at our recent paper, “Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness”, by Takumi Kuroda, Tomonari Mizoguchi, Hiromu Araki, and Yasuhiro Hatsugai, which has been published in J. Phys. Soc. Jpn. 91, 044703 (2022). See also arXiv:2111.15177.