“…In particular, when considering the setting where D is a fixed compact space and n goes to infinity, it is not clear, to the best of the authors' knowledge, if E [Y (x)|y], where y = f (X) + , converges to f (x) as n → ∞, for any fixed continuous function f . Some partial results are nevertheless given in [24,63]. In contrasts, it is clear that other popular methods, like nearest-neighboor regression or kernel smoothing, can asymptotically recover continuous functions as n → ∞.…”