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Error analysis of the moving least-squares regression learning algorithm with β-mixing and non-identical sampling

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We consider the regression learning based on the moving least-squares framework for the polynomially β-mixing samples. The rigorous error analysis is carried out by using the independent-blocks technique in the… Click to show full abstract

We consider the regression learning based on the moving least-squares framework for the polynomially β-mixing samples. The rigorous error analysis is carried out by using the independent-blocks technique in the sample error estimates. We derive the satisfactory learning rate that can be arbitrarily close to the best rate , when the sequence of marginal distributions converges exponentially to some marginal distribution in the dual of a Hölder space.

Keywords: error analysis; moving least; regression learning; least squares

Journal Title: International Journal of Computer Mathematics
Year Published: 2020

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