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Accurate Bayesian Data Classification without Hyperparameter Cross-validation

Methodology 2017-12-29 v1 Machine Learning Statistics Theory Statistics Theory

Abstract

We extend the standard Bayesian multivariate Gaussian generative data classifier by considering a generalization of the conjugate, normal-Wishart prior distribution and by deriving the hyperparameters analytically via evidence maximization. The behaviour of the optimal hyperparameters is explored in the high-dimensional data regime. The classification accuracy of the resulting generalized model is competitive with state-of-the art Bayesian discriminant analysis methods, but without the usual computational burden of cross-validation.

Keywords

Cite

@article{arxiv.1712.09813,
  title  = {Accurate Bayesian Data Classification without Hyperparameter Cross-validation},
  author = {M Sheikh and A C C Coolen},
  journal= {arXiv preprint arXiv:1712.09813},
  year   = {2017}
}
R2 v1 2026-06-22T23:30:53.975Z