In this talk, we will discuss some recent development on the multi-
fidelity methods for solving a class of kinetic equations with multi-
dimensional uncertainties and different scalings. The Boltzmann
equation, linear transport equation and epidemic transport system will
be particularly studied, followed by some formal error estimates. We
will also briefly discuss applying deep learning approach to solve
These are joint work with Giulia Bertaglia, Lorenzo Pareschi and Xueyu Zhu.