3 ms·

tangent: any reason to assume it gets mapped to a manifold rather than something that is not?

• youoy 2y ago
  I think "manifolds" in AI are not the same as actual smooth manifolds. For starters I would not expect them to have locally the same dimension across the whole dataset.
  • ottaborra 2y ago
    Something to chew on for me. But what is a manifold then if not a topological space that is locally the same as R^(some dimension) ?
    • youoy 2y ago
      What I meant is that I can imagine cases where some part of the dataset may look like R2 and then colapse to have a spike that looks like R1, so it is not a standard manifold where all of it has the same dimension. Appart from that, these "manifolds" have noise, so that is another difference with the standard manifolds.