Manifold hypothesis

Manifold hypothesis is a very interesting topic and kind of a high-level inspiration of explainable AI. It has the power of generalization both in image modality and in NLP. In both universes, this hypothesis suggests that the enormous dimensional space in which images, for example, exist is completely sparse, except for a very, very tiny space in which all of our visuals exist. So the probability of drawing a sample from all possible high-dimensio