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Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions
support vector machine reproducing kernel Banach space reproducing kernel,posi-tive definite function Fourier transform,Sobolev space,Matern function,Sobolev spline
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2012/11/22
In this paper we extend support vector machines from reproducing kernel Hilbert spaces into reproducing kernel Banach spaces whose reproducing kernels can be defined on nonsymmetric domains. Using the...
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
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2010/11/19
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
Reproducing kernel method for solving systems of linear equations
Exact solution system of linear equations
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2010/9/17
A new method for finding the exact solutions of systems of linear equations is presented. Advantage of this method is the simplicity of the procedure. There are no additional constraint conditions. Th...
A new method of solving singular multi-pantograph delay differential equation in reproducing kernel space
Exact solution singular two-point value boundary problem multipantograph
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2010/9/13
In this paper, we present a new method for solving singular twopoint boundary value problem for multi-pantograph delay differential equation having singular coefficients. Its exact solution is represe...
Hyperbolic $L_2$-modules with Reproducing Kernel
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2007/12/12
In this paper, the Dirac operator on the Klein model for the hyperbolic space is considered. A function space containing $L_2$-functions on the sphere $S^{m-1}$ in $\mR^m$ which are boundary values of...