  Least absolute shrinkage and selection operator (Lasso) was originally
formulated for least squares models and this simple case reveals a substantial
amount about the behavior of the estimator. It also shows that the coefficient
estimates need not be unique if covariates are collinear. Using this Lasso
technique, we analyze a magnetocrystalline anisotropy energy which is a
long-standing issue in transition-metal thin films, expectially for Fe-Rh thin
film systems on a MgO substrate. Our LASSO regression took advantage of the
data obtained from first principles calculations for single slabs with seven
atomic-layers of binary Fe-Rh films on MgO(001). In the case of Fe-Rh thin
films, we have successfully found a linear behavior between the MCA energy and
the anisotropy of orbital moments.
