code: def _log_multivariate_normal_density_tied(X, means, covars):
      """Compute Gaussian log-density at X for a tied model."""
      nc, nf = means.shape
      cv = np.broadcast_to(covars, (nc, nf, nf))
      return _log_multivariate_normal_density_full(X, means, cv)
  
imports: import numpy
  from scipy import linalg
label_desc: Use image node_id 4 for calling a global function with example usage: _log_multivariate_normal_density_tied(X, means, covars) and returns: _log_multivariate_normal_density_full