  We used solar observations of a plage/enhanced network with the Atacama Large
Millimeter/sub-millimeter Array (ALMA) in Band 3 and Band 6 together with
synthetic continuum maps from numerical simulations with Bifrost at the same
bands to carry out a detailed study of bright small-scale magnetic features. To
this end, we have used an algorithm to automatically identify and trace the
features within the field of view (FoV) of the observations and the simulation.
We found 193 and 293 features in the Bands 3 and 6 observations, respectively.
In the degraded simulation, the total number of features were 24 for Band 3 and
204 for Band 6. In the original simulation, the total number of features were
36 for Band 3 and 392 for Band 6. Based on the simulation, we confirm the
magnetic nature of the features which exhibit an oscillatory behaviour in
temperature, size and horizontal velocity. The average oscillation periods were
of 30-99\,s for temperature, 37-92\,s for size and 37-78\,s for horizontal
velocity. There are indications for the possible presence of transverse (kink)
waves with average amplitude velocities of 2.1-5.0\,km\,s$^{-1}$. An anti-phase
behaviour between temperature and size oscillations suggest the presence of
compressible fast-sausage Magnetohydrodynamics (MHD) modes. Finally, we have
estimated the flux of energy of the fast-sausage waves at the chromospheric
heights sampled by ALMA as 453-1838\,W\,m$^{-2}$ for Band 3 and
3640-5485\,W\,m$^{-2}$ for Band 6. The decrease of wave energy-flux with height
(from Band 6 to Band 3) could possibly suggest energy dissipation at
chromospheric heights, thus wave heating, with the assumptions that the
identified small-scale waves are typical at each band and they propagate upward
through the chromosphere.
