In some cases, the member function (x.pow()) is more elegant than the expression mode (x**2). Given a tensor a defined as:
a = torch.tensor([1, 2, 3]).
Calling a member function like
a.pow(2).mean()
should be cleaner than
(a**2).mean().
Calling member function is object oriented while bracket turn the expression it into a more functional style programming.
Following case might be rare but shows the advantages more clearly:
((a**2).add(1)**2).mean()
vs
a.pow(2).add(1).pow(2).mean()
As the expression gets more complicated, member function shows more advantages.