Figure 3:

Mutual information between latent variables (x-axis) and ground truth factors (y-axis) is shown for cNVAE (top) and VAE (bottom). Dashed lines indicate 21 hierarchical latent groups of 20 latents each, comprising a 420-dimensional latent space. These groups operate at three different spatial scales, as indicated. In contrast, the VAE latent space lacks such grouping and operates solely at the spatial scale of 2 × 2 (see Fig. 2 and Table 4 for details on model latent configurations).