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Consistency and Generalization Bounds for Maximum Entropy Density Estimation

Full Text: entropy-15-05439.pdf PDF

We investigate the statistical properties of maximum entropy density estimation, both for the complete data case and the incomplete data case. We show that under certain assumptions, the generalization error can be bounded in terms of the complexity of the underlying feature functions. This allows us to establish the universal consistency of maximum entropy density estimation.

Citation

S. Wang, R. Greiner, S. Wang. "Consistency and Generalization Bounds for Maximum Entropy Density Estimation". Entropy, 15(12), pp 5439-5463, December 2013.

Keywords: maximum entropy principle, density estimation, generalization bound, consistency, machine learning
Category: In Journal
Web Links: Journal URL
  DOI

BibTeX

@article{Wang+al:13,
  author = {Shaojun Wang and Russ Greiner and Shaomin Wang},
  title = {Consistency and Generalization Bounds for Maximum Entropy Density
    Estimation},
  Volume = "15",
  Number = "12",
  Pages = {5439-5463},
  journal = {Entropy},
  year = 2013,
}

Last Updated: February 10, 2020
Submitted by Sabina P

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