“…Currently, Machine learning (ML) 19,20 and high throughput calculations 21,22 have gradually replaced the traditional trial-anderror approaches with the advantages of high efficiency and low cost. Among them, ML is a powerful tool for the exploration of the desired materials by employing algorithms to construct a statistical model based on the complicated patterns found in high dimensional spaces [23][24][25][26] , such as guiding the chemical synthesis 27 , assisting the multi-dimensional characterization 28 , analyzing the crystal structure 29 , and regulating the phase transition 30 and defects 31 , etc. Supervised learning 32 is the most widespread form of ML in materials science, which needs sufficient amount of relevant data, along with the known target properties and has been applied in the TE materials development and prediction of the Seebeck coefficient 33 (S), power factor 34 (PF = S 2 σ), lattice thermal conductivity 35 (κ L ), and zT values 36 .…”