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Learning r-of-k Functions by Boosting
2004We 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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The K-Functional for H 1 and BMO
Proceedings of the American Mathematical Society, 1984The 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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Maxwell equations and the k function
Journal of the Optical Society of America A, 2000We 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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A New Characterization of Weighted Peetre K-Functionals
Constructive Approximation, 2004B. 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
1987After 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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ω-Connected Continua and Jones' K Function
Proceedings of the American Mathematical Society, 1984A continuum X is \(\omega\)-connected if for every pair of points x, y of X, there exists an irreducible subcontinuum of X from x to y that is decomposable. If \(A\subset X\) then K(A) is the intersection of all subcontinua of X that contain A in their interiors. The main theorem shows that if X is an \(\omega\)-connected continuum and H is a connected
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Computation of the K-functional for pairs of matrix spaces
Mathematical Notes, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Lagrange interpolation for a subset ofC k functions
Constructive Approximation, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the K-Functional for the Mixed Generalized Modulus of Smoothness
Mathematical Notes, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Refraction of the k function at spherical surfaces
Journal of the Optical Society of America A, 1995The k function arises in obtaining the general solution of the eikonal equation for a homogeneous, isotropic medium and describes the shape and the structure of individual wave fronts in a wave-front train as well as the associated caustic surface. The effect that refraction by a spherical refracting surface has on this k function is examined.
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