We use local diffusion maps to assess the quality of two types of collective
variables (CVs) for a recently published hydrogen combustion benchmark
dataset~\cite{guan2022benchmark} that contains ab initio molecular dynamics
trajectories and normal modes along minimum energy paths. This approach was
recently advocated in~\cite{tlldiffmap20} for assessing CVs and analyzing
reactions modeled by classical molecular dynamics simulations. We report the
effectiveness of this approach to molecular systems modeled by quantum ab
initio molecular dynamics. In addition to assessing the quality of CVs, we also
use global diffusion maps to perform committor analysis as proposed
in~\cite{tlldiffmap20}. We show that the committor function obtained from the
global diffusion map allows us to identify transition regions of interest in
several hydrogen combustion reaction channels