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[D] Do VAEs have a manifold?

I am kind of confused as to how VAEs do manifold learning.

While I can grasp that regular AEs perform deterministic transformation from the input vector space to the latent space with the encoder, it is very hard for me to understand how that would work on a VAE. Is the manifold on the parameters of the distribution MU and SIGMA?

Can anyone clarify that for me, maybe point to a paper? Thanks

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Toronto AI is a social and collaborative hub to unite AI innovators of Toronto and surrounding areas. We explore AI technologies in digital art and music, healthcare, marketing, fintech, vr, robotics and more. Toronto AI was founded by Dave MacDonald and Patrick O'Mara.