  Physics-informed neural network (PINN) analysis of the dynamics of S-stars in
the vicinity of the supermassive black hole in the Galactic center is performed
within General Relativity treatment. The aim is to reveal the role of possible
extended mass (dark matter) configuration in the dynamics of the S-stars, in
addition to the dominating central black hole's mass. The PINN training fails
to detect the extended mass perturbation in the observational data for S2 star
within the existing data accuracy, and the precession constraint indicates no
signature of extended mass up to 0.01% of the central mass inside the apocenter
of S2. Neural networks analysis thus confirm its efficiency in the analysis of
the S-star dynamics.
