  In this proceeding, we have presented some highlight results on the
constraints of the nuclear matter equation of state (EOS) from the data of
nucleus resonance and neutron-skin thickness using the Bayesian approach based
on the Skyrme-Hartree-Fock model and its extension. Typically, we have
discussed the anti-correlation and positive correlation between the slope
parameter and the value of the symmetry energy at the saturation density under
the constraint of, respectively, the neutron-skin thickness and the isovector
giant dipole resonance. We have shown that the Bayesian analysis can help to
find a compromise for the ``PREXII puzzle'' and the ``soft Tin puzzle". We have
further illustrated the possible modifications on the constraints of
lower-order EOS parameters as well as the relevant correlation when
higher-order EOS parameters are incorporated as independent variables. For a
given model and parameter space, the Bayesian approach serves as a good
analysis tool suitable for multi-messengers versus multi-variables, and is
helpful for constraining quantitatively the model parameters as well as their
correlations.
