Inspired by random walks on graphs, the diffusion map (DM) is a class of unsupervised machine learning that offers automatic identification low-dimensional data structure hidden in high-dimensional set. In recent years, among its many applications, DM has been successfully applied to discover relevant order parameters many-body systems, enabling classification quantum phases matter. However, cl...

We study the urban-scale macroscopic traffic flow in city networks. Star graph is considered as network. graphs with controlled are transformed to various cell-transmission by using cell transmission method. The dynamic equations of vehicular densities on all nodes (roads) presented speed-matching model. density given nonlinear-diffusion equations. star mapped nonlinear diffusion process graphs...