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Spring 2015

Adeeb, Samer

Piecewise affine functions as defined by Aliprantis and Tourky and denoted by the set S are those functions in C(R^m) that agree with a finite number of affine functions. In this thesis, we extend their study by introducing the set of locally piecewise affine functions denoted by S_lp. Unlike...

Fall 2018

Lewandowski, Alex

Gaussian processes are flexible probabilistic models for regression and classification. However, their success hinges on a well-specified kernel that can capture the structure of data. For complex data, the task of hand crafting a kernel becomes daunting. In this thesis, we propose new methods...

Fall 2015

Tahmasebi, Nazanin

This thesis is dedicated to the study of some geometric properties on Banach spaces associated to hypergroups. This thesis contains three major parts. The purpose of the first part is to initiate a systematic approach to the study of the class of invariant complemented subspaces of L∞(K), and...

Spring 2010

Dai, Qingfang

This thesis develops an optimal interpolation method that takes daily precipitation values collected from weather stations and produces precipitation estimates on a grid. The method, called Hybrid 2.0, combines EOF-based linear interpolation with the nearest-station method. Gridded monthly...

Spring 2020

Loliencar, Prachi

Abstract harmonic analysis is well established on compact Hausdorff admissible right topological (CHART) groups. Specifically these groups are one-sided analogues of topological groups, where the elements that multiply continuously on the other side are dense in the group. The analytic theory of...

Fall 2009

Lang, John Cameron

HTLV-I is the first discovered human retrovirus and a causative agent of both adult T-cell leukemia (ATL) and HTLV-I-associated myelopathy (or tropical spastic paraparesis) (HAM/TSP). Previous models have been successful in providing insight into the progression of HTLV-I infection. The...

Spring 2016

Zhang, Yile

Mathematical model and numerical computation play a pivotal role in modern geophysical exploration. By applying computational algorithms to the observed field data, the underground structure can be inferred. This process is generally referred as a geophysical inversion problem. However, due to...

Spring 2015

Zou, Bin

Motivated by the financial crisis of 2007-2009 and the increasing demand for portfolio and risk management, we study optimal insurance and investment problems with regime switching in this thesis. We incorporate an insurable risk into the classical consumption and investment framework and...

Fall 2010

Lim, Aaron Guanliang

Human T-lymphotropic virus type I (HTLV-I) is a persistent human retrovirus characterized by life-long infection and risk of developing HAM/TSP, a progressive neurological and inflammatory disease. Despite extensive studies of HTLV-I, a complete understanding of the viral dynamics has been...

Fall 2018

Fu, Fangfang

Functional brain connectivity plays an important role on understanding how human brain functions and neuropsychological diseases such as Autism, Attention-deficit hyperactivity disorder (ADHD), and Alzheimer’s disease (AD). Functional Magnetic Resonance Imaging (fMRI) is one of the most...