I don't think you mean to use a term as strong as diffeomorphism. A diffeomorphism is differentiable, sure, but it is also invertable with a differentiable inve

I don't think you mean to use a term as strong as diffeomorphism. A diffeomorphism is differentiable, sure, but it is also invertable with a differentiable inverse. They have a lot of properties that machine learning honestly does not want, like preservation of dimension.