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Fall 2019

Zhang, Jiaxin

High dimensional classification has drawn massive attention due to its increasing application in genetic diagnosis, image or speech recognition and financial analysis. Traditional methods such as Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), which are optimal Bayes...

Fall 2005

Fok, Rosana Hoi Shan

Fall 2018

Oluwole Victor Olobatuyi

Ionizing radiation is widely used in treatment and medical diagnosis. Doses in the range of 1.5 Gy to 10 Gy are used in radiation treatment of cancer. Lower doses (less than 1.5 Gy) are used in medical imaging, and also are incurred by tissues that are near irradiated target volumes. The impact...

Spring 2023

Pan, Bo

We consider stochastic optimization in settings where the distribution of unknown parameters is observable only through finitely dependent training samples. Using the Sample Averaging Approximation ({SAA}), we specifically study the data-driven procedure in which, instead of receiving samples...

Spring 2019

Taylor, Mitchell A.

Suppose $X$ is a vector lattice and there is a notion of convergence $x{\alpha} \xrightarrow{\sigma} x$ in $X$. Then we can speak of an ``unbounded" version of this convergence by saying that $x{\alpha} \xrightarrow{u\sigma} x$ if $\lvert x\alpha-x\rvert \wedge u\xrightarrow{\sigma} 0$ for every...

2005

Aguilar, Dawn A

Spring 2016

Tikhomirov, Konstantin E

This thesis is based on six papers.

Spring 2014

Sebestyen, Mark D.

Geometrical lattice equivalences are used to generate over 100 new quadratic identities involving classical modular forms, Jacobi theta functions, θ2, θ3, θ4, and the Dedekind eta function η. Generalizations are examined and a seemingly new observation on the nature of η is noted.

Fall 2013

Chang, Zhihua

Given a conformal superalgebra A over an algebraically closed field k of characteristic zero, a twisted loop conformal superalgebra L based on A has a differential conformal superalgebra structure over the differential Laurent polynomial ring D. In this context, L is a Dm/D–form of A \otimes D...

2005

Gómez-Acevedo, Horacio