Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

Deep probabilistic direction prediction in 3D with applications to directional dark matter
detectors - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

Global Fréchet regression is an extension of linear regression to cover more general types
of responses, such as distributions, networks, and manifolds, which are becoming more …

Compositional data, such as human gut microbiomes, consist of non-negative variables
where only the relative values of these variables are available. Analyzing compositional …

Objectives To determine if the electrical heart axis in different types of congenital heart
defects (CHD) differs from that of a healthy cohort at mid-gestation. Methods Non-invasive …

Compositional data, such as human gut microbiomes, consist of non-negative variables
whose only the relative values to other variables are available. Analyzing compositional …

We formulate a class of angular Gaussian distributions that allows different degrees of
isotropy for directional random variables of arbitrary dimension. Through a series of novel …

We introduce a novel family of projected distributions on the circle and the sphere, called the
circular and spherical projected Cauchy distributions, as promising alternatives for …

In 2020, two novel distributions for the analysis of directional data were introduced: the
spherical Cauchy distribution and the Poisson kernel-based distribution. This paper …

In this dissertation, I provide the results of four collaborative research projects:“Variable
selection for global Fréchet regression,”(2),“Exploring sex and age effects on brain networks …