Reviews: Causal Effect Inference with Deep Latent-Variable Models

However, five other causal diagrams can also be considered with confounder proxies (see Figure 1 in [Miao et al., 2016]). It would be interesting to check whether the proposed method can be applied to all these causal diagrams or there are some limitations. For instance, why covariates of x_i are independent given z_i? Is it restricting the expressive power of this method? For instance, in Experimental Results section, it is assumed that z is a 20-dimensional variable.