What the true meaning of vae?

[clockwiser]

The vae theory is not much intuitive. Although there are a couple of blogs explaining vae. What does the z_mean and z_var mean to z? It seems each number has own z_mean and z_var. The epsilon is just adding noise to z_mean. Then the z space gets simulated to Normal(0,1). How is it possible?

[clockwiser]

Each number has each own z_mean. And we can assume each number has same z_var. The point of vae is trying to put all z_means into Normal(0,1) space.