Results 31 to 40 of about 5,234,186 (356)
Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces
We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
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Set-contractions and ball-contractions in Lp-spaces [PDF]
Consider the space Lp(Ω), 1 ⩽ p < + ∞, where Ω is a σ-finite measure space. Defined δ and γ by: δ = 2max{1p, (p − 1)p} and γ = 2¦p − 2¦p. The following relationship between set-contractions and ball-contractions in separable Lp(Ω) spaces is proved: If T:
Ayerbe, J.M, Benavides, T.Domínguez
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Kernel-Induced Label Propagation by Mapping for Semi-Supervised Classification
Kernel methods have been successfully applied to the areas of pattern recognition and data mining. In this paper, we mainly discuss the issue of propagating labels in kernel space.
Jia, Lei+5 more
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In this research work, we use the concepts of contraction mapping to establish the existence and uniqueness results and also study the averaging principle in Lp space by using Jensen’s, Grönwall–Bellman’s, Hölder’s, and Burkholder–Davis–Gundy’s ...
Abdelhamid Mohammed Djaouti+3 more
semanticscholar +1 more source
Inapproximability of Clustering in Lp Metrics
Proving hardness of approximation for min-sum objectives is an infamous challenge. For classic problems such as the Traveling Salesman problem, the Steiner tree problem, or the k-means and k-median problems, the best known inapproximability bounds for L ...
Vincent Cohen-Addad, Karthik C. S.
semanticscholar +1 more source
Some Properties of lp(A,X) Spaces
We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1 ...
Xiaohong Fu, Songxiao Li
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AbstractMultiresolution analysis plays a major role in wavelet theory. In this paper, multiresolution of Lp spaces is studied. Let S be a shift-invariant subspace of Lp(Rs) (1≤p≤∞) generated by a finite number of functions with compact support, and let Sk be the 2k-dilate of S for each integer k∈Z.
openaire +2 more sources
Estimates for Parameter Littlewood-Paley gκ⁎ Functions on Nonhomogeneous Metric Measure Spaces
Let (X,d,μ) be a metric measure space which satisfies the geometrically doubling measure and the upper doubling measure conditions. In this paper, the authors prove that, under the assumption that the kernel of Mκ⁎ satisfies a certain Hörmander-type ...
Guanghui Lu, Shuangping Tao
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Feasibility of using an led-probe in third-space endoscopy: a clinical study
Background Third-space endoscopy is a novel, safe, and effective method for treating different gastrointestinal conditions. However, several failed endoscopic procedures are attributed to incomplete myotomy.
Oscar Víctor Hernández Mondragón+4 more
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$L^p$-norm inequality using q-moment and its applications
For a measurable function on a set which has a finite measure, an inequality holds between two Lp-norms. In this paper, we show similar inequalities for the Euclidean space and the Lebesgue measure by using a q-moment which is a moment of an escort ...
Nishiyama, Tomohiro
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