Results 271 to 280 of about 11,041,440 (317)

On the K-functional in learning theory

Analysis and Applications, 2019
[Formula: see text]-functionals are used in learning theory literature to study approximation errors in kernel-based regularization schemes. In this paper, we study the approximation error and [Formula: see text]-functionals in [Formula: see text] spaces with [Formula: see text].
Sheng, Bao-Huai, Wang, Jian-Li
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On the computation of $K$-functionals

St. Petersburg Mathematical Journal, 2010
A new approach to the calculation of the sharp order of a \(K\)-functional is suggested. This approach employs the techniques of dyadic spaces.
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The network K‐function in context: examining the effects of network structure on the network K‐function

Transactions in GIS, 2015
AbstractThe flaws of using traditional planar point‐pattern analysis techniques with network constrained points have been thoroughly explored in the literature. Because of this, new network‐based measures have been introduced for their planar analogues, including the network based K‐function.
David S. Lamb, Joni A. Downs, Chanyoung Lee   +2 more
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Estimation of a K-Functional of Higher Order in Terms of a K-Functional of Lower Order

Ukrainian Mathematical Journal, 2003
Let Uj be a finite system of functionals of the form \(U_j (g):= \int _0^1 g^(k_j) ( \tau ) d \sigma _j ( \tau )+ \sum_{l < k_j} c_{j,l} g^(l) (0)\), and let \(W_{p,U}^r\) be the subspace of the Sobolev space \(W_p^r [0;1]\), 1 ≤ p ≤ +∞, that consists only of functions g such that Uj(g) = 0 for kj < r.
E. I. Radzievskaya, G. V. Radzievskii
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Learning r-of-k Functions by Boosting

2004
We investigate further improvement of boosting in the case that the target concept belongs to the class of r-of-k threshold Boolean functions, which answer “+1” if at least r of k relevant variables are positive, and answer “–1” otherwise. Given m examples of a r-of-k function and literals as base hypotheses, popular boosting algorithms (e.g., AdaBoost)
Kohei Hatano, Osamu Watanabe 0001
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Maxwell equations and the k function

Journal of the Optical Society of America A, 2000
We use a general solution to the eikonal equation to define generalized coordinates in terms of which the Maxwell equations are then cast. These coordinates are then used to obtain expressions for the electric and magnetic field vectors and the Poynting vector.
, Stavroudis, , Hurtado-Ramos
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The K-Functional for H 1 and BMO

Proceedings of the American Mathematical Society, 1984
The author characterizes explicitly Peetre's K-functional for the pair \(H^ 1\), BMO. This functional is used to obtain the intermediate spaces between \(H^ 1\) and BMO by real interpolation methods.
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A New Characterization of Weighted Peetre K-Functionals

Constructive Approximation, 2004
B. R. Draganov and K. G. Ivanov present several results related with the problem of finding moduli of smoothness equivalent to certain weighted Peetre K-functionals for functions of a real variable. The main idea is to characterize the original K-functional by another one obtained with the help of an appropriated operator.
Draganov, Borislav R., Ivanov, Kamen G.
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The K-Functional and the Modulus of Continuity

1987
After the introduction and preliminaries we are now in the “heart of the matter.” In this chapter the equivalence between our modulus of continuity and a certain Peetre K-functional will be proved. This will be the starting point for almost every other chapter, some in content and some in technique. The connection with the K-functional is important for
Z. Ditzian, V. Totik
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On the K-Functional for the Mixed Generalized Modulus of Smoothness

Mathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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