3 ms·
A generalized surface in arbitrary dimensions. A common English "surface" maps naturally to a 2D manifold embedded in 3D space.
by hopler 8y ago
A generalized surface in arbitrary dimensions. A common English "surface" maps naturally to a 2D manifold embedded in 3D space.
- amai 8y agoOk, so a manifold is simply a hypersurface. At least I‘m pretty sure in machine learning it means exactly that.
- ginnungagap 8y agoA hypersurface is usually a codimension one object, while a manifold can have bigger codimension or even not be embedded in an higher dimensional space at all
- amai 8y agoOk, a line in 3D space can also be called a manifold? Maybe a better question is then to ask, what is not a manifold?