A Derivation of Eq . 9

We already report the t-SNE visualization of ByPE-V AE and standard V AE in Figure. Figure 6: t-SNE visualization of learned latent representations, colored by labels. Second, we give more generated samples in Fig.8, among Figure 7: Random samples drawn from ByPE-V AEs trained on different datasets. Figure 8: Samples generated by ByPE-V AE based on the same pseudodata point in each plate. In section 5.2, We only report the KNN results of MNIST and Fashion MNIST in the Figure 1.