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Published in: Measurement Techniques 4/2019

19-08-2019 | GENERAL PROBLEMS OF METROLOGY AND MEASUREMENT TECHNIQUE

Methods for Rapid Selection of Kernel Function Blur Coefficients in a Nonparametric Pattern Recognition Algorithm

Authors: A. V. Lapko, V. A. Lapko

Published in: Measurement Techniques | Issue 4/2019

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Abstract

A fast algorithm is proposed for choosing the coefficients of blur coefficients for kernel functions in a nonparametric estimate of the separating surface equation for a two-alternative pattern recognition problem. The algorithm is based on the results of a study of the asymptotic properties of nonparametric estimates of the decision function in the recognition problem for patterns and the probability densities of the distribution of random variables in classes. We compare the proposed algorithm with the traditional approach based on minimizing the estimated probability of a classification error.

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Literature
2.
go back to reference I. V. Zenkov, S. T. Im, A. V. Lapko, et al., Development and Application of Information Technologies for the Study of Natural Resources in Siberia Based on Remote Sensing Data, SibGAU, Krasnoyarsk (2017). I. V. Zenkov, S. T. Im, A. V. Lapko, et al., Development and Application of Information Technologies for the Study of Natural Resources in Siberia Based on Remote Sensing Data, SibGAU, Krasnoyarsk (2017).
3.
go back to reference M. I. Borrajo, W. González-Manteiga, and M. D. Martínez-Miranda, “Bandwidth selection for length-biased data,” J. Nonparam. Stat., 29, No. 3, 636–668 (2017).CrossRefMATH M. I. Borrajo, W. González-Manteiga, and M. D. Martínez-Miranda, “Bandwidth selection for length-biased data,” J. Nonparam. Stat., 29, No. 3, 636–668 (2017).CrossRefMATH
4.
go back to reference S. Chen, “Optimal bandwidth selection for kernel density functionals estimation,” J. Probab. Stat., 2015, 1–21 (2015).MathSciNetCrossRef S. Chen, “Optimal bandwidth selection for kernel density functionals estimation,” J. Probab. Stat., 2015, 1–21 (2015).MathSciNetCrossRef
5.
go back to reference D. W. Scott, Multivariate Density Estimation: Theory, Practice, and Visualization, John Wiley & Sons, New Jersey (2015).CrossRefMATH D. W. Scott, Multivariate Density Estimation: Theory, Practice, and Visualization, John Wiley & Sons, New Jersey (2015).CrossRefMATH
6.
7.
go back to reference B. W. Silverman, Density Estimation for Statistics and Data Analysis, Chapman and Hall, London (1986).CrossRefMATH B. W. Silverman, Density Estimation for Statistics and Data Analysis, Chapman and Hall, London (1986).CrossRefMATH
10.
11.
go back to reference A. V. Lapko and V. A. Lapko, “Analysis of the asymptotic properties of a nonparametric estimate of the separation surface equation in a two-alternative pattern recognition problem,” Avtometriya, 46, No. 3, 48–53 (2010). A. V. Lapko and V. A. Lapko, “Analysis of the asymptotic properties of a nonparametric estimate of the separation surface equation in a two-alternative pattern recognition problem,” Avtometriya, 46, No. 3, 48–53 (2010).
12.
go back to reference V. A. Epanechnikov, “Nonparametric estimation of multidimensional probability density,” Teor. Veroyatn. Primen., 14, No. 1, 156–161 (1969).MathSciNetMATH V. A. Epanechnikov, “Nonparametric estimation of multidimensional probability density,” Teor. Veroyatn. Primen., 14, No. 1, 156–161 (1969).MathSciNetMATH
13.
go back to reference A. V. Lapko and V. A. Lapko, Nonparametric Systems for Processing Inhomogeneous Information, Nauka, Novosibirsk (2007). A. V. Lapko and V. A. Lapko, Nonparametric Systems for Processing Inhomogeneous Information, Nauka, Novosibirsk (2007).
Metadata
Title
Methods for Rapid Selection of Kernel Function Blur Coefficients in a Nonparametric Pattern Recognition Algorithm
Authors
A. V. Lapko
V. A. Lapko
Publication date
19-08-2019
Publisher
Springer US
Published in
Measurement Techniques / Issue 4/2019
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-019-01621-1

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