A Details of the toy experiment. 1

Using the predefined generative process for this dataset, we can also write P [ Z = z | X = x ]= P [ Z = z ] P [ X = x | Z = z ] P [ X = x ] = 0 . Within DGSE and DMSE, the latent variable is modeled as a Gaussian. While our method is an instance of generative models, we identify the following key differences: 1. We propose new generative model architectures that extend existing models (e.g., DSE, They are also simpler: they don't require auxiliary networks (e.g., like in CEV AE [ Appendix H.5.1 empirically shows that DMSE model compares favorably against CEV AE on synthetic We consider 100 replicates of this dataset, where the output is simulated according to setting'A ' of NPCI package [ The hidden layers have size of 20 units. The IHDP-Full Setting There are 25 input features in this experimental setting.