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Mean Field Method of Least Square Support Vector Machine for Function Approximation

2008 40th Southeastern Symposium on System Theory (SSST), 2008
This paper presents a simple mean field method of least square support vector machine for function approximation, which corresponds to a mean field method for the regularization network. The proposed method is illustrated for the Gaussian kernel. A number of simulations are presented to demonstrate the performance of the proposed method including ...
Wenhui Chen, Changchun Zhu, Wanzhao Cui
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Least Squares Approximations to Unknown Regression Functions: A Comment

International Economic Review, 1983
Byron, Ray P, Bera, Anil K
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Orthogonal Polynomials and Least Square Sense Approximation of Data and Complex Functions

IOSR Journal of Mathematics
The orthogonal polynomial set’s properties and its use in the least square sense approximation of data or complex functions to a polynomial, are discussed. Performance of Chebyshev, Gram and Alfredo-Giuseppe (A-G) polynomials is examined with a simulated Planck profile with and without noise.
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Approximation of functions of several variables using the method of least squares

USSR Computational Mathematics and Mathematical Physics, 1964
Abstract Several different versions of the method of least squares can be employed in solving the problem of the approximation of a function F ( x 1 , …, x n ) of n variables by a second degree polynomial. A few of these versions will be considered in the present note.
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Least-squares approximation of smooth functions of means

2004
A least-squares approximation of a smooth function of means is defined, by projecting the smooth function on a random span of functions of the same analytic form. Asymptotics of this approximation is studied. The variance of a smooth function of means can be lowered by the variance of its least-squares approximation, for all finite sample sizes ...
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Fast Least Squares Approximation Using Tensor Products of Functions and Linear Forms

2001
Least squares approximations with functions play an important role in many mathematical and computer scientific applications. When dealing with input data of multidimensional structure, the use of tensor products of functions for approximation is very common.
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Second-Order Approximation Function Method for Precision Estimation of Total Least Squares

Journal of Surveying Engineering, 2019
Leyang Wang, Yingwen Zhao
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