We generate the training database by running ab initio molecular dynamics (AIMD) simulations at different temperatures (T=200 K, 400 K,...) and then randomly selecting points from the trajectories for training and validation. The determination of maximum temperatures in AIMD calculations is based on the phonon frequencies of materials. For instance, the maximum phonon frequency of graphene is around 50 THz, which corresponds to 2400 K; thus, the training database for graphene covers the structures in which outputs of AIMD calculations are from 200 K to 2400 K with 200 K intervals. Since we focus on lattice thermal transport properties using MLIPs, the hyperparameters have been tuned