Operations Research, Systems Engineering and Industrial Engineering Commons^™

A Bayesian Beta Kernel Model For Binary Classification And Online Learning Problems, Cameron A. Mackenzie, Theodore B. Trafalis, Kash Barker

Cameron A. MacKenzie

Recent advances in data mining have integrated kernel functions with Bayesian probabilistic analysis of Gaussian distributions. These machine-learning approaches can incorporate prior information with new data to calculate probabilistic rather than deterministic values for unknown parameters. This article extensively analyzes a specific Bayesian kernel model that uses a kernel function to calculate a posterior beta distribution that is conjugate to the prior beta distribution. Numerical testing of the beta kernel model on several benchmark datasets reveals that this model's accuracy is comparable with those of the support vector machine (SVM), relevance vector machine, naive Bayes, and logistic regression, and the …