def _log_multivariate_normal_density_tied(X, means, covars):
 cv = np.tile(covars, (means.shape[0], 1, 1))
 return _log_multivariate_normal_density_full(X, means, cv)

def _log_multivariate_normal_density_tied ( X , means , covars ) : cv = np . tile ( covars , ( means . shape [ 0 ] , 1 , 1 ) ) return _log_multivariate_normal_density_full ( X , means , cv )
compute gaussian log-density at x for a tied model .