Corpus ID: 88513233

Semiparametric Gaussian copula classification

  title={Semiparametric Gaussian copula classification},
  author={Yue Zhao and Marten H. Wegkamp},
  journal={arXiv: Statistics Theory},
This paper studies the binary classification of two distributions with the same Gaussian copula in high dimensions. Under this semiparametric Gaussian copula setting, we derive an accurate semiparametric estimator of the log density ratio, which leads to our empirical decision rule and a bound on its associated excess risk. Our estimation procedure takes advantage of the potential sparsity as well as the low noise condition in the problem, which allows us to achieve faster convergence rate of… Expand
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  • Mathematics, Medicine
  • IEEE Transactions on Information Theory
  • 2015
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