D.A.Baranov, S.P.Merts, G.A.Ososkov, O.V.Rogachevsky “New approaches to track-candidate searching and their applications to the GEM detector of the JINR BM@N experiment” Abstract Event  reconstruction is one  of the  most important problems of data analysis in HENP experiments. A special mathematical technique based on the  Kalman  filter  track  following  was  developed  to  fulfill  the  event reconstruction  procedure.  However  it requires  a  tremendous  search  of  hits aimed  to  obtain  initial  approximations  of  track  parameters  of  charged particles. Therefore two original initialization algorithms are proposed which result  in  considerable  decrease of  combinatorics.  First  results  of  their application  for BM@N  vertex  detector tracking  for  the  wide  range  of momenta look really promising.