[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
article

Prototype sample selection based on minimization of the complete cross validation functional

Published: 01 December 2010 Publication History

Abstract

A method of prototype sample selection from a training set for a classifier of K nearest neighbors (KNN), based on minimization of the complete cross validation functional, is proposed. The optimization leads to reduction of the training set to the minimum sufficient number of prototypes, removal (censoring) of noise samples, and improvement of the generalization ability, simultaneously.

References

[1]
I. A. Borisova, V. V. Dyubanov, N. G. Zagoruiko, and O. A. Kutenko, "Similarity and Compactness," in Proc. All-Russian Conf. Mathematical Methods for Pattern Recognition MMPR-14 (Maks Press, Moscow, 2009).
[2]
S. Bermejo and J. Cabestany, "Learning with Nearest Neighbour Classifiers," Neural Process. Lett. 13, No. 2, 159-181 (2001).
[3]
S. Brin, "Near Neighbor Search in Large Metric Spaces," in Proc. 21th Int. Conf. on Very Large Data Bases (Zurich, 1995), pp. 574-584.
[4]
C. J. C. Burges, "A Tutorial on Support Vector Machines for Pattern Recognition," Data Min. Knowl. Discovery 2, No. 2, 121-167 (1998).
[5]
E. Chávez, G. Navarro, R. Baeza-Yates, and J. L. Marroqün, "Searching in Metric Spaces," ACM Comput. Surv. 33, No. 3, 273-321 (2001).
[6]
C. Cortes and V. Vapnik, "Support-Vector Networks," Mach. Learn. 20, No. 3, 273-297 (1995).
[7]
F. Chang, C.-C. Lin, and C.-J. Lu, "Adaptive Phototype Learning Algorithms: Theoretical and Experimental Studies," J. Mach. Learn. Res., No. 7, 2125-2148 (2006).
[8]
M. N. Ivanov and K. V. Vorontsov, "Standards Selection Based on Total Follow Control Minimization," in Proc. All-Russian Conf. Mathematical Methods for Pattern Recognition MMPR-14 (Maks Press, Moscow, 2009).
[9]
P. E. Hart, "The Condensed Nearest Neighbor Rule," IEEE Trans. Inf. Theory, No. 14, 515-516 (1968).
[10]
R. Kohavi, "A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection," in Proc. 14th Int. Joint Conf. on Artificial Intelligence (Quebec, 1995), pp. 1137-1145.
[11]
C.-L. Liu and M. Nakagawa, "Evaluation of Phototype Learning Algorithms for Nearest-Neighbor Classifier in Application to Handwritten Character Recognition," Pattern Recognit. 34, No. 3, 601-615 (2001).
[12]
M. Mullin and R. Shukhankar, "Complete Cross-Validation for Nearest Neighbor Classifiers," in Proc. Int. Conf. of Machine Learning (Stanford Univ., 2000), pp. 639-646.
[13]
M. Tipping, "The Relevance Vector Machine," in Advances in Neural Information Processing Systems (Morgan Kaufmann, San Mateo, CA, 2000).
[14]
K. V. Vorontsov, "Combinatorial Approach to Quality Estimation of Tutorial Algorithms," in Mathematical Problems of Cybernetics (Fizmatlit, Moscow, 2004), Vol. 13, pp. 5-36 {in Russian}.
[15]
K. V. Vorontsov and A. V. Koloskov, "Compactness Profiles and Reference Objects Selection in Metric Classification Algorithms," in Artificial Intelligence (Donetsk, 2006), pp. 30-33 {in Russian}.
[16]
D. Wilson, "Asymptotic Properties of Nearest Neighbor Rules Using Edited Data," IEEE Trans. Syst., Man, Cybernet., No. 2, 408-421 (1972).
[17]
N. G. Zagoruiko, Applied Methods for Data and Knowledge Analysis (IM SO RAN, Novosibirsk, 1999) {in Russian}.
  1. Prototype sample selection based on minimization of the complete cross validation functional

      Recommendations

      Comments

      Please enable JavaScript to view thecomments powered by Disqus.

      Information & Contributors

      Information

      Published In

      cover image Pattern Recognition and Image Analysis
      Pattern Recognition and Image Analysis  Volume 20, Issue 4
      December 2010
      158 pages

      Publisher

      Springer-Verlag

      Berlin, Heidelberg

      Publication History

      Published: 01 December 2010

      Author Tags

      1. complete cross validation
      2. exact generalization bound
      3. generalization ability
      4. k nearest neighbors
      5. leave-one-out
      6. prototype learning
      7. similarity search

      Qualifiers

      • Article

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • 0
        Total Citations
      • 0
        Total Downloads
      • Downloads (Last 12 months)0
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 09 Jan 2025

      Other Metrics

      Citations

      View Options

      View options

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media