code: def _log_multivariate_normal_density_tied(x, means, covars):
      """Compute Gaussian log-density at X for a tied model"""
      cv = np.tile(covars, (means.shape[0], 1, 1))
      return _log_multivariate_normal_density_full(x, means, cv)
  
file_path: madmom/madmom/ml/gmm.py
imports: from __future__ import absolute_import, division, print_function
  import numpy
  from scipy import linalg
label_desc: Use image node_id 6 for calling a global function with example usage: _log_multivariate_normal_density_tied(x, means, covars) and returns: _log_multivariate_normal_density_full