article · Proceedings of the AAAI Conference on Artificial Intelligence · 2017

Variable Kernel Density Estimation in High-Dimensional Feature Spaces

Christiaan Van Der Walt, Etienne Barnard

Cited by 8Open access

Abstract

Estimating the joint probability density function of a dataset is a central task in many machine learning applications. In this work we address the fundamental problem of kernel bandwidth estimation for variable kernel density estimation in high-dimensional feature spaces. We derive a variable kernel bandwidth estimator by minimizing the leave-one-out entropy objective function and show that this estimator is capable of performing estimation in high-dimensional feature spaces with great success. We compare the performance of this estimator to state-of-the art maximum-likelihood estimators on a number of representative high-dimensional machine learning tasks and show that the newly introduced minimum leave-one-out entropy estimator performs optimally on a number of high-dimensional datasets considered.

Cite this paper

APA 7

Van Der Walt, C., & Barnard, E. (2017). Variable Kernel Density Estimation in High-Dimensional Feature Spaces. Proceedings of the AAAI Conference on Artificial Intelligence, 31(1). https://doi.org/10.1609/aaai.v31i1.10885

MLA 9

Van Der Walt, Christiaan, and Etienne Barnard. “Variable Kernel Density Estimation in High-Dimensional Feature Spaces.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 31, no. 1, 2017, https://doi.org/10.1609/aaai.v31i1.10885.

Chicago

Van Der Walt, Christiaan, and Etienne Barnard. 2017. “Variable Kernel Density Estimation in High-Dimensional Feature Spaces.” Proceedings of the AAAI Conference on Artificial Intelligence 31 (1). https://doi.org/10.1609/aaai.v31i1.10885.

Harvard

Van Der Walt, C. and Barnard, E. (2017) ‘Variable Kernel Density Estimation in High-Dimensional Feature Spaces’, Proceedings of the AAAI Conference on Artificial Intelligence, 31(1). Available at: https://doi.org/10.1609/aaai.v31i1.10885.

BibTeX

@article{vanderwalt2017variable,
  title = {{Variable Kernel Density Estimation in High-Dimensional Feature Spaces}},
  author = {Van Der Walt, Christiaan and Barnard, Etienne},
  journal = {Proceedings of the AAAI Conference on Artificial Intelligence},
  volume = {31},
  number = {1},
  year = {2017},
  doi = {10.1609/aaai.v31i1.10885}
}

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