This method guarantees that the intervals have at least the confidence level and avoid problems in case of normal approximation for small proportions.
There is an impressive lower bound in [14] which suggests that the best activation function in the case of approximation of Korobov spaces is the Korobov kernel itself.
Analogues of the direct and converse theorems in the case of approximation on the sphere are given, for instance, by Pawelke [71] and Lizorkin and Rustamov [35].
Satterthwaite's approximation or Kruskal-Wallis tests were used in cases of unequal variance.
An analog of Bernstein-Jackson inequalities in the case of approximations in the space L p ( G ) on a Lie group G by spectral subspaces M p ( h ) = { f ∈ L p ( G ) : E f = f if λ ≥ h > 0 } of the group sublaplacian Δ G, where Δ G = ∫ 0 ∞ λ d E is its spectral resolution, is established in [6, 7].
In the case of approximations of 1D Lipschitz functions we describe adaptive depth-6 network architectures more efficient than the standard shallow architecture.
Nevertheless, in four cases of edge approximation, a needlepoint hole remained unclosed between the newly regenerated membrane and the approximated membrane by the end of the 6-month follow-up.
We used a linear relationship for the convenience of parameter estimation, which also is a good approximation in case of low WUS levels.
