This chapter contains sections titled: Density Difference in Hetero-Distributional Subspace, Characterization of Hetero-Distributional Subspace, Identifying Hetero-Distributional Subspace by Supervised Dimensionality Reduction, Using LFDA for Finding Hetero-Distributional Subspace, Density-Ratio Estimation in the Hetero-Distributional Subspace, Numerical Examples, Summary