Yo why aren't we using non-euclidean space ?
All ML and DL algos are some complex non linear functions. Wouldn't it be easy to deal a non linear function in a non linear space rather than dealing them in a linear space.
I see one problem here, the data that we represent lies in a linear space. Did no mathematician actually try to make a non linear representation of the data. So if we somehow find a way, or if it exists use it, to represent data in a non linear space wouldn't it be easy to represent the model in the same non linear (non euclidean) space ?