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Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
This paper considers a few problems in the area of bioinformatics. First the problem of comparing distributions of chromosomal shapes estimated from wild type and gene knock-out Hi-C data. For each contact data matrix, we estimate...
Over the past 30 years, magnetic resonance imaging has become a ubiquitous tool for accurately visualizing the change and development of the brain subcortical structures (e.g., hippocampus) across time and group. Although subcortical...
Estimation of functions is an extremely rich and well-researched topic of research with broad applications spanning several scientific fields. We develop a shape based framework for probability density and general function modelling. The...
This dissertation includes mainly four chapters. The first chapter studies change-points in human brain functional connectivity (FC) and seek patterns that are common across multiple subjects under identical external stimulus. FC, ...
This research provides theoretical and computational developments in statistical shape analysis of shape graphs, and demonstrates them using analysis of complex network-type object data such as retinal blood-vessel (RBV) networks. The...
This dissertation studies statistical shape analysis of planar objects. The focus is on two different representations. The first one considers only the boundary of planar shapes, a comprehensive analysis framework including...
This dissertation contains two related parts. The first part focuses on affine lines, and the second part is about affine planes. In the first part, it develops tools for statistical analysis on spaces of affine lines. Motivated by the...
In the field of functional data analysis, registration is still a fundamental problem. Registration still has to take into consideration what underlying template is chosen for "center" or alignment purposes and the hurdles that come with...
Complex analyses involving multiple, dependent random quantities often lead to graphical models – a set of nodes denoting variables of interest, and corresponding edges denoting interactions between nodes. Such graphical data emerges in...
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
