Search
Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2015
This dissertation first introduces the concepts of robust active learning (also called optimal experimental design in statistics), and the possible advantages of it over the traditional passive learning method. Then a general regression problem with possibly misspecified models is presented, and...

Fall 2010
This thesis is based on three papers on selected topics in Asymptotic Geometric Analysis. The first paper is about the volume of highdimensional random polytopes; in particular, on polytopes generated by Gaussian random vectors. We consider the question of how many random vertices (or ...

Regularized Tensor Quantile Regression for Functional Data Analysis with Applications to Neuroimaging
DownloadFall 2019
With accelerating technological advancements, functional data analysis is of evergrowing importance in statistics, engineering, and medicine as the collection, storage, and analysis of data becomes ingrained in every aspect of modern life beyond any one field of study. From continuous biometric...

Fall 2018
The formalism of variations of local systems is applied in a geometric setting to define a notion of geometric variation of local systems; this provides a natural framework with which to study families of fibrations of Kahler manifolds. We apply this formalism in various contexts, starting with...

Fall 2014
This thesis is dedicated to the study of topological degree for different classes of monotone maps and applications to nonlinear problems in mathematical analysis and the applied mathematics. Employing topological methods for nonlinear problems in mathematics goes back to the pioneering work of...

Fall 2016
The aim of my thesis consists of characterizing explicitly the optimal consumption and investment strategy for an investor, when her habit level process is incorporated in the utility formulation. For a continuoustime market model, I maximize the expected utility from terminal wealth and/or...

Fall 2018
We address several related problems from convex geometry and geometric tomography, which separate along two main themes. The content of this thesis is based on five papers, either published or submitted. The first theme concerns the originsymmetry and unique determination of convex bodies. A...

Spring 2017
This study focuses on the motion of a hollow flexible tube conveying a flowing fluid, also known as the gardenhose instability. This system becomes unstable when the fluid moving through the pipe exceeds a critical flow rate. This nonlinear dynamical system involves complex fluidstructure...

Fall 2013
One of the main aims in this thesis is to establish analogues of the classical HardyLittlewoodSobolev (HLS) inequality for weighted orthogonal polynomial expansions (WOPEs) on the unit sphere, the unit ball and the simplex. An optimal condition for which this inequality holds is obtained....