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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
by 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 agoSomething 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 agoWhat 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.