Sensitivity analysis in the presence of uncertainties in operating conditions, material properties, and manufacturing tolerances poses a tremendous challenge to the scientific computing community. In particular, in realistic situations, the presence of a large number of uncertain inputs complicates the task of propagation and assessment of output uncertainties; many of the popular techniques, s...

Models such as pairwise conditional random fields (CRFs) are extremely popular in computer vision and various other machine learning disciplines. However, they have limited expressive power and often cannot represent the posterior distribution correctly. While learning the parameters of such models which have insufficient expressivity, researchers use loss functions to penalize certain misrepre...

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...