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New multivariate kernel density estimator for uncertain data classification

Author

Listed:
  • Byunghoon Kim

    (Hanyang University
    Rutgers University)

  • Young-Seon Jeong

    (Chonnam National University
    Rutgers University)

  • Myong K. Jeong

    (Rutgers University
    Rutgers University)

Abstract

Uncertainty in data occurs in diverse applications due to measurement errors, data incompleteness, and multiple repeated measurements. Several classifiers for uncertain data have been developed to tackle this uncertainty. However, the existing classifiers do not consider the dependencies among uncertain features, even though this dependency has a critical effect on classification accuracy. Therefore, we propose a new Bayesian classification model that considers the correlation among uncertain features. To handle the uncertainty of data, new multivariate kernel density estimators are developed to estimate the class conditional probability density function of categorical, continuous, and mixed uncertain data. Experimental results with simulated data and real-life data sets show that the proposed approach is better than the existing approaches for classification of uncertain data in terms of classification accuracy.

Suggested Citation

  • Byunghoon Kim & Young-Seon Jeong & Myong K. Jeong, 2021. "New multivariate kernel density estimator for uncertain data classification," Annals of Operations Research, Springer, vol. 303(1), pages 413-431, August.
  • Handle: RePEc:spr:annopr:v:303:y:2021:i:1:d:10.1007_s10479-020-03715-4
    DOI: 10.1007/s10479-020-03715-4
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    References listed on IDEAS

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    1. Ximing Wang & Neng Fan & Panos M. Pardalos, 2018. "Robust chance-constrained support vector machines with second-order moment information," Annals of Operations Research, Springer, vol. 263(1), pages 45-68, April.
    2. Li, Qi & Racine, Jeff, 2003. "Nonparametric estimation of distributions with categorical and continuous data," Journal of Multivariate Analysis, Elsevier, vol. 86(2), pages 266-292, August.
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    Cited by:

    1. Jeongsub Choi & Youngdoo Son & Myong K. Jeong, 2024. "Gaussian kernel with correlated variables for incomplete data," Annals of Operations Research, Springer, vol. 341(1), pages 223-244, October.

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