Dissertations & Theses: Recent submissions
Now showing items 41-60 of 173
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OPTIMIZING L1 LOSS REGULARIZER AND ITS APPLICATION TO EEG INVERSE PROBLEM
(2020-07-21)Sparse reconstruction occurs frequently in science and engineering and real-world applications, including statistics, finance, imaging, biological system, compressed sensing, and, today more than ever, machine learning and ... -
Mathematical Modeling of Scavengers and Zebras on the African Savanna with Disease Dynamics
(2020-09-01)The purpose of this dissertation is to use mathematical models to see how anthrax in the zebra population in Etosha National Park (ENP) interacts with scavenger populations and disease dynamics. First, we study if scavengers ... -
New Development of Grid Generation and Image Analysis
(2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
INVERSE PROBLEMS AND FORWARD PROPAGATION OF OPTICAL FLOW
(2020-08-24)Optical flow is a concept originally introduced in computer vision that quantifies, and aids in the presentation of, motion (flow field) between two or more images. In essence, it is a solution of an inverse problem ... -
Prediction of Remaining Lifetime Distribution from Functional Trajectories Based On Censored Observations
(2019-08-13)The goal in functional data studies on failure time or on death time of the objects is to find a relationship between age-at-death (failure time) and current values of a functional predictors. In this study, a novel technique ... -
Impact of domestic animals on prevalence of vector-borne diseases in humans
(2020-06-05)Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ... -
BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ... -
Examining the Concept Images of Function Held by Preservice Secondary Mathematics Teachers with Varying Levels of Prior Mathematical Experience
(2020-05-20)This multiple case study examines the function concept images of preservice secondary mathematics teachers (PSMTs) enrolled in a mathematics content course designed specifically for PSMTs at a large urban university in the ... -
NUMERICAL SOLUTION OF SADDLE POINT PROBLEMS BY PROJECTION
(2017-12-04)In this thesis, we work on iterative solutions of large linear systems of saddle point problems of the form A B1 T B2 0 x y = f 0 , where A ∈ R n×n , B1, B2 ... -
Some Quadratic Regular Algebras on Four Generators Wtih A 1-Dimensional Nonreduced Line Scheme
(2019-12-19)In the 1980s, M. Artin, J. Tate, and M. Van den Bergh applied geometric techniques to noncommutative algebras. Their work introduced algebraic concepts called point modules and line modules and an associated geometric ... -
LIUTEX ANALYSIS BY POD AND DMD FOR VORTEX FORMATIONS IN BOUNDARY LAYER TRANSITION
(2019-12-05)Vortices are considered as the building blocks of turbulent flows. To study how one type of vortex becomes another type especially in flow transition is one way to get better understanding about turbulence. In this ... -
NORMALIZED CUT PROBLEMS WITH GENERALIZED LINEAR CONSTRAINTS
(2019-08-30)Several methods are used to process images in many fields, including clustering, image segmentation and medical imaging. The so-called graph-cut methods in graph theory are widely used for image segmentation. In these ... -
Image Analysis Based on Differential Operators with Applications to Brain MRIs
(2019-07-25)In differential geometry, computational diffeomorphism (smooth and invertible mapping) has become a fast-growing field in developing the theoretical frameworks and computational toolboxes for the tasks such as computer ... -
Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ... -
A study on the rotational b-family of equations
(2018-04-30)In this thesis, we study a mathematical model of long-crested water waves propagating in one direction with the effect of Earth's rotation near the equator by following the formal asymptotic procedures. Firstly, we derive ... -
MODELING THE EFFECTS OF THE IMMUNE SYSTEM ON BONE FRACTURE HEALING
(2019-05-14)Bone fracture healing is a complex biological process that results in a full reconstruction of the bone. However, it is not always an easy and successful process. Indeed, in some unfavorable conditions, the bone fracture ... -
Modeling an M/M/1 Queue with unreliable service and a working vacation
(2019-05-08)We define the new term ’unreliable service’ where the service itself is unreliable (i.e. may fail). We discuss how this differs from the current literature, and give examples showing just how common this phenomena is in ... -
MATHEMATICAL MODELING OF ZIKA VIRUS TRANSMISSION AND MULTIPLE PATHOGEN INTERACTIONS
(2019-05-01)The purpose of this dissertation is twofold: to deepen our understanding of the complex transmission routes of the Zika virus (ZIKV), and to study multiple pathogen interactions (specifically cocirculation of Zika and ... -
On Optimizing the Sum of Rayleigh Quotients on the Unit Sphere
(2019-05-06)Given symmetric matrices and positive definite matrices, we are concerned with the solution of the maximization of the function that is mentioned in the dissertation. We establish necessary optimality conditions for local ... -
Optimal Control Methods for Chagas Disease
(2018-12-10)Chagas disease is the world's most neglected tropical disease. Having a lack of cure makes the primary focus on the disease preventing it and controlling it. This study takes into account three different control measures: ...