  The upcoming galactic core-collapse supernova is expected to produce a
considerable number of neutrino events within terrestrial detectors. By using
Bayesian inference techniques, we address the feasibility of distinguishing
among various neutrino flavor conversion scenarios in the supernova
environment, using such a neutrino signal. In addition to the conventional MSW,
we explore several more sophisticated flavor conversion scenarios, such as
spectral swapping, fast flavor conversions, flavor equipartition caused by
non-standard neutrino interactions, magnetically-induced flavor equilibration,
and flavor equilibrium resulting from slow flavor conversions. Our analysis
demonstrates that with a sufficiently large number of neutrino events during
the supernova accretion phase (exceeding several hundreds), there exists a good
probability of distinguishing among feasible neutrino flavor conversion
scenarios in the supernova environment.
