نتایج جستجو برای: reproducing kernel hilbert spacerkhs
تعداد نتایج: 82790 فیلتر نتایج به سال:
Support vector regression (SVR) has been regarded as a state-of-the-art method for approximation and regression. The importance of kernel function, which is so-called admissible support vector kernel (SV kernel) in SVR, has motivated many studies on its composition. The Gaussian kernel (RBF) is regarded as a “best” choice of SV kernel used by non-expert in SVR, whereas there is no evidence, exc...
Let B be a Banach space and (H, ‖ · ‖H) be a dense, imbedded subspace. For a ∈ B, its distance to the ball of H with radius R (denoted as I(a, R)) tends to zero when R tends to infinity. We are interested in the rate of this convergence. This approximation problem arose from the study of learning theory, where B is the L2 space and H is a reproducing kernel Hilbert space. The class of elements ...
In this paper, we apply the new implementation of reproducing kernel Hilbert space method to give the approximate solution to some functional integral equations of the second kind. To show its effectiveness and convenience, some examples are given.
We study the error performances of p -norm Support Vector Machine classifiers based on reproducing kernel Hilbert spaces. We focus on two category problem and choose the data-dependent polynomial kernels as the Mercer kernel to improve the approximation error. We also provide the standard estimation of the sample error, and derive the explicit learning rate.
1 Lecture 1: Model Theory seca The basic idea behind model theory is to associate a Hilbert space construction with a function, and then use Hilbert space theory to illuminate the function theory. In one variable, one approach is to study the de Branges-Rovnyak space associated with a function φ in the ball of H(D). This is the Hilbert space of analytic functions on the disk D with reproducing ...
We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possesses a Borel measurable feature map.
In the following we investigate the limit distribution of the Diaphony created by the Mehler kernel. The classical Diaphony was introduced by Zinterhof [5]. In [6] a Diaphony has been defined for reproducing kernel Hilbert spaces over an abstract set E. The limit distribution of the classical Diaphony has been investigated by H. Leeb [3].
of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy ADAPTIVE FILTERING IN REPRODUCING KERNEL HILBERT SPACES By Weifeng Liu December 2008 Chair: Jose C. Principe Major: Electrical and Computer Engineering The theory of linear adaptive filters has reached maturity, unlike the field of nonli...
During the support period July 1, 2011 June 30, 2012, seven research papers were published. They consist of three types: • Research that directly addresses the kernel selection problem in machine learning [1, 2]. • Research that closely relates to the fundamental issues of the proposed research of this grant [3, 4, 5, 6]. • Research that is in the general context of computational mathematics [7...
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