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Dissertations from 2024

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First-Order Algorithms for Convex Smooth Optimization Problems With Homogeneous Linear Constraints, Yidan Guo

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Efficient First-Order Methods for Some Smooth Nonlinear Optimization Problems, Yunheng Jiang

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Selected Topics on Sequential Designs for Decision Making, Caroline Kerfonta

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Domain Decomposition Methods for Fluid-Structure Interaction Problems Involving Elastic, Porous, or Poroelastic Structures, Hemanta Kunwar

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Statistical Methodologies for Sequential Online Controlled Experiments, Yangyi Li

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Optimization Strategies for Political Redistricting, Blake Splitter

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Models of Functional Redundancy in Ecological Communities, Sandra Annie Tsiorintsoa

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Some Experiments in Additive Number Theory, Yunan Wang

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Efficient Fully Bayesian Approaches to Brain Activity Mapping with Complex-Valued fMRI Data: Analysis of Real and Imaginary Components in a Cartesian Model and Extension to Magnitude and Phase in a Polar Model, Zhengxin Wang

Dissertations from 2023

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Concentration Theorems for Orthonormal Sequences in a Reproducing Kernel Hilbert Space, Travis Alvarez

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Aspects of Stochastic Geometric Mechanics in Molecular Biophysics, David Frost

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Advancements in Fluid Simulation Through Enhanced Conservation Schemes, Sean Ingimarson

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Zero-Knowledge Reductions and Confidential Arithmetic, Marvin Jones

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Asymptotic Cones of Quadratically Defined Sets and Their Applications to QCQPs, Alexander Joyce

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Estimating Financial and Environmental Risk: Some New Developments and Comparison Study., Fnu Kamronnaher

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A Framework for Statistical Modeling of Wind Speed and Wind Direction, Eva Murphy

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Multiparametric Continuous and Mixed-Integer Nonlinear Optimization with Parameters in General Locations, Andrew Pangia

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Recovering Coefficients of Second-Order Hyperbolic and Plate Equations via Finite Measurements on the Boundary, Scott Randall Scruggs

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Algebraic and Integral Closure of a Polynomial Ring in its Power Series Ring, Joseph Swanson

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Acceleration Methods for Nonlinear Solvers and Application to Fluid Flow Simulations, Duygu Vargun

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New Preconditioned Conjugate Gradient Methods for Some Structured Problems in Physics, Tianqi Zhang

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Zeros of Modular Forms, Daozhou Zhu

Dissertations from 2022

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Some Improved Markov Chain Convergence Rates, Fun Choi John Chan

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Characterizing Unmixed Trees and Coronas with Respect to PMU Covers, Michael Cowen

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Groundwork for the Development of GPU Enabled Group Testing Regression Models, Paul Cubre

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Lindley Processes with Correlated Changes, John Grant

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Statistical Methods for Modern Threats, Brandon Lumsden

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Minimal Differential Graded Algebra Resolutions Related to Certain Stanley-Reisner Rings, Todd Anthony Morra

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On Variants of Sliding and Frank-Wolfe Type Methods and Their Applications in Video Co-localization, Seyed Hamid Nazari

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Advancements in Gaussian Process Learning for Uncertainty Quantification, John C. Nicholson

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Improved First-Order Techniques for Certain Classes of Convex Optimization, Trevor Squires

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Managing Risk for Power System Operations and Planning: Applications of Conditional Value-at-Risk and Uncertainty Quantification to Optimal Power Flow and Distributed Energy Resources Investment, Thanh To

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Cohen-Macaulay Type of Weighted Path Ideals, Shuai Wei

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Improving Efficiency of Rational Krylov Subspace Methods, Shengjie Xu

Dissertations from 2021

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Characterizing Unmixed Trees with Respect to Total Domination and PMU Covers, James Gossell

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An Algorithm for Biobjective Mixed Integer Quadratic Programs, Pubudu Jayasekara Merenchige

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Exact Controllability and Inverse Problem for the Mindlin-Timoshenko System, Jason Alexander Kurz

Dissertations from 2020

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Codes and Sequences for Information Retrieval and Stream Ciphers, Travis Alan Baumbaugh

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A Computational Framework for Axisymmetric Linear Elasticity and Parallel Iterative Solvers for Two-Phase Navier–Stokes, Alistair R. Bentley

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Homomorphic Encryption and Cryptanalysis of Lattice Cryptography, Benjamin M. Case

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The Uncertainty Principle in Control Theory for Partial Differential Equations, Andrew Walton Green

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Uncertainty Principles in Framed Hilbert Spaces, Haodong Li

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Statistical Models for the Analysis of Complex Data, Stefani Mokalled

Dissertations from 2019

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Analytical and Iterative Regularization Methods for Nonlinear Ill-posed Inverse Problems: Applications to Diffuse Optical and Electrical Impedance Tomography, Sanwar Uddin Ahmad

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A Parallel Geometric Multigrid Method for Adaptive Finite Elements, Thomas Conrad Clevenger

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Performance of Latent Dirichlet Allocation with Different Topic and Document Structures, Haotian Feng

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High Dimensional Regression Techniques for Complex Data, Chase Joyner

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Bayesian Spatio-Temporal Modeling for Forecasting, Trend Assessment and Spatial Trend Filtering, Stella Coker Watson Self

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Numerical methods and analysis for continuous data assimilation in fluid models, Camille Zerfas

Dissertations from 2018

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Analysis of Time-Series Data Embedded in an Experiment Design, Yinggu Bao

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The EMAC scheme for Navier-Stokes simulations, and application to flow past bluff bodies, Sergey Charnyi

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Tight Representations of Specially-Structured 0-1 Linear, Quadratic, and Polynomial Programs, Audrey N. DeVries

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Robust Solutions to Uncertain Multiobjective Programs, Garrett M. Dranichak

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Generalizations of Permutation Statistics to Words and Labeled Forests, Amy Christine Grady

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Some Models for Count Time Series, Yisu Jia

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On Some Conjectures in Additive Number Theory, Huixi Li

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Matching potential in randomized complete block designs, Elaine Sotherden

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Properties of Some Markov Chains on Linear Extensions of Posets, Kara Stasikelis

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Estimating Animal Abundance by Employing an External Experiment to Account for Detection and Count Bias with an application to Wintering Ducks in the Mississippi Alluvial Valley, April L. Thomas

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Variable Selection for Complex Data with Sparsity: An Application in GWAS, Tianhui Wei

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Efficient and Accurate Splitting Methods for Flow Problems, Mengying Xiao

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Convex Hulls, Relaxations, and Approximations of General Monomials and Multilinear Functions, Yibo Xu

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A Numerical Method for the Navier Stokes Equations in a Velocity-Vorticity Form, Liang Zhao

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On Some Environmental Applications of Stochastic Processes, Liu Zhu

Dissertations from 2017

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Chaos to Permanence - Through Control Theory, Sherli Koshy Chenthittayil

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Average Frobenius Distributions for Elliptic Curves: Extremal Primes and Koblitz's Conjecture, Luke M. Giberson

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Average Frobenius Distributions for Elliptic Curves: Extremal Primes and Koblitz's Conjecture, Luke M. Giberson

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Assessing Non-Atomicity in Groups of Divisibility, Brandon G. Goodell

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Assessing Non-Atomicity in Groups of Divisibility, Brandon G. Goodell

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Discretizations & Efficient Linear Solvers for Problems Related to Fluid Flow, Ryan R. Grove

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Income Inequality, Rapidly Rising Housing Prices and Overdevelopment of Houses in China, Tao Guan

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Johnson-Lindenstrauss Transformations, Fiona Knoll

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Chaos to Permanence-Through Control Theory, Sherli Koshy Chenthittayil

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Latent data modeling with biostatistical applications, Yan Liu

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Efficient Numerical Methods for Magnetohydrodynamic Flow, Muhammad Mohebujjaman

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Correlated and Interacting Predictor Omission for Linear and Logistic Regression Models, Emily Nystrom

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Localization of Generalized Frames in Hilbert Spaces: Asymptotic Behavior of Concentration and Toeplitz Operators, Sampling and Interpolation, and Density Results, Aarón Ernesto Ramírez Flores

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Time-dependent Stokes-Darcy Flow with Deposition, Javier Ruiz Ramirez

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Parsimonious Space-Time Temperature Series Modeling, Yanbo Xia

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Adaptive Robust Methodology for Parameter Estimation and Variable Selection, Tao Yang

Dissertations from 2016

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Solution Techniques for Classes of Biobjective and Parametric Programs, Nathan Adelgren

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Expander Graphs and Coding Theory, Michael C. Dowling Jr.

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Hyperspectral Diffuse Optical Tomography Using the Reduced Basis Method and Sparsity Constraints, Rachel Elizabeth Grotheer

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Problems in Domination and Graph Products, Jason Todd Hedetniemi

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Algebraic Geometry Arising from Discrete Models of Gene Regulatory Networks, Qijun He

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A New Look at Matrix Analytic Methods, Jason Joyner

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Modeling, Analysis, and Simulation of Adsorption in Functionalized Memebranes, Anastasia Bridner Wilson

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Kernel Smoothing and Tolerance Intervals for Hierarchical Data, Christopher Wilson

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Generalized Colorings of Graphs, Honghai Xu

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Numerical study for non-Newtonian fluid-structure interaction problems, Shuhan Xu

Dissertations from 2015

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Applications of Algebraic Geometric Codes to Polar Coding, Sarah E. Anderson

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An Optimization-Based Approach to Decoupling Fluid-Structure Interaction, Paul Allen Kuberry

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A Statistical Distance Approach to Dissimilarities in Ecological Data, Dominique Jerrod Morgan

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Objective Bayesian analysis on the quantile regression, Shiyi Tu

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Linear Programming Methods for Identifying Solvable Cases of the Quadratic Assignment Problem, Lucas Waddell

Dissertations from 2014

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Homomorphic Encryption and the Approximate GCD Problem, Nathanael Black

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On Numerical Algorithms for Fluid Flow Regularization Models, Abigail Bowers

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Convergence of a Reinforcement Learning Algorithm in Continuous Domains, Stephen Carden

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Grobner Bases: Degree Bounds and Generic Ideals, Juliane Golubinski Capaverde

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Involutive Translation Surfaces and Panov Planes, Charles Johnson