Resampling procedure for the wedin bound

Usage

wedin_bound_resampling(
  X,
  perp_basis,
  right_vectors,
  num_samples = 1000,
  num_cores = 2
)

X: Matrix. The data matrix.
perp_basis: Matrix. Either U_perp or V_perp: the remaining left/right singluar vectors of X after estimating the signal rank.
right_vectors: Boolean. Right multiplication or left multiplication.
num_samples: Integer. Number of vectors selected for resampling procedure.