In this paper, we propose a novel method for sparse logistic regression with non-convex regularization Lp (p 1). Based on smooth approximation, we develop several fast algorithms for learning the classifier that is applicable to high dimensional dataset such as gene expression. To the best of...

This article extends the inverse Bayes formulae (IBF) in the product measurable space (PMS) to the nonproduct measurable space (NPMS) and focuses on their applications in compatibility checking and Bayesian computation. We show that IBF hold only in PMS and derive the modified IBF in NPMS. The...

In longitudinal studies with small samples and incomplete data, multivariate normal-based models continue to be a powerful tool for analysis. This has included a broad scope of biomedical studies. Testing the assumption of multivariate normality (MVN) is critical. Although many methods are...