Recent Student Research
Graduate students must either complete a thesis or an approved project that must be presented to the department in a seminar or colloquium, and prepared for publication as a departmental technical report. Below is a list of recent graduates' projects.
2020
2019
Zhuo Chen, Advisor Juming Pan
“Variable Selection in the Presence of Missing Data”
Aaron Crenshaw, Advisor Zhuangyi Liu
“Characterization of the Stability of Solutions to a Linearized Korteweg De-Vries Equation”
Shiyuan Deng, Advisor Yongcheng Qi
“Inference for High Quantile For a Heavy-Tailed Distribution”
Seth Hovland, Advisor Richard Buckalew
“Measuring the Space of Legislative Restricting Plans”
Xinrui Li, Advisor Juming Pan
“A Comparison of Variable Selection and Model Averaging Methods for High-Dimensional Data”
Richa Rawat, Advisor Yang Li
“Finding the Degree Distribution of Networks with the Addition and Deletion of Nodes”
Aaron Victorin-Vangerud, Advisor Bethany Kubik
“Nim in Topological Spaces”
Mengzi Xie, Advisor Yongcheng Qi
“Spectral Radii of Products of Random Rectangular Matrices”
Shahriyar Roshan Zamir, Advisor Joe Gallian
“Subgroups of Groups of Unites Mod n”
2018
McCoy Becker, Advisor Yang Li
Identifying Phase Transitions with Statistical Learning
Yejin Cho, Advisor Juming Pan
High-Dimensional Model Averaging
Deepali Gupta, Advisor Thierry Chekouo
Bayesian Hidden Markov Model in Application to Methylation Data
Nathan Jersett, Advisor Marshall Hampton
Planar Central Configurations of the 4-Body Problem
Jehyun Lee, Advisor Dalibor Froncek
Decomposition of Complete Graphs into Connected Graphs with Seven Vertices and Eight Edges
Yifeng Mei, Advisor Yongcheng Qi
An Independence Test of High Dimensional Random Vector
Weibing Li, Advisor Thierry Chekouo
Bayesian Group Selection with Non-Local Priors
Yizeng Li, Advisor Yongcheng Qi
Estimation of Tail Index by Using Adjusted Empirical Likelihood Method
Jingxia Liu, Advisor Marshall Hampton
Ranking Players Statistically on a Network
Himadri Mukherjee, Advisor Thierry Chekouo
Biclustering Analysis of Gene Expression Data
Sarah Pierro, Advisor Richard Buckalew
Modeling Wave in Early Embryonic Drosophila
Kalani Thalagoda, Advisor John Greene
Continued Fraction Expansions with Irrational Denominators
Marcus Walker, Advisor Marshall Hampton
The Amazing Composobot: Music Information Retrieval and Algorithmic Composition
Jiaxing Wang, Advisor Zhuangyi Liu
Optimal Damping Coefficient of Some Elastic Systems
Zhenduo Wang, Advisor Yang Li
Text Embedding Methods at Different Levels for Tweets Authorship Attribution
Yue Zhao, Advisor Yongcheng Qi
Modeling WTI Crude Oil Return Using Applied time Series Methods
2017
Ayoub Dib, Advisor Kris Snyder
Pulsate Locomotion
Lei Ding, Advisor Yang Li
A Statistical Model on Measuring Cloud Peers' Behaviors
Joseph Kell, Advisor Bruce Peckham
The Breakup and Continuation of Invariant Circles
Matej Kroc, Advisor Xuan Li
Statistical Analysis of Moose Habitat Behaviors Using Bayesian Hierarchial Model with Spatially Varying Coefficients
Yujiong Liu, Advisor Bruce Peckham
A Connection Between Analytic and Non analytic Singular Perturbations of the Quadratic Map: A Case Study
Michael McKeown, Advisor Dalibor Froncek
Vertex-Magic Group Edge Labeling
Yingyu Tang, Advisor Xuan Li
Learning Mental Health of Minnesotans Using Random Forests
Neng Wan, Advisor Zhuangyi Liu
Eigenvalues Approximations of One-Dimensional Partial Differential Equations with Local Damping
Xiangpeng Wan, Advisor Yongcheng Qi
Applied Time Series and Duluth Temperature Prediction
Yang Wang, Advisor Yang Li
Multivariate Poisson and Zero-Inflated Multivariate Poisson Regression in R
Yu-Ting You, Advisor Marshall Hampton
Group Theory in Harmonic Progression
2016
Xinyue Chang, Advisor Yang Li
CSR Test of Spatial Point Processes on the Network
Tsungai Chibanga, Advisor Zhuangyi Liu
Applications of the Inverse LQR Problem to Wind Energy Conversion System
Vaclav Hasenohrl, Advisor Bruce Peckham
Multicompartment Ebola Modeling
Mudit Jain, Advisor Yang Li
Creating Quantum/Statistical Field Theories on Lattice from Boundary Conditions Via Conditional Probability
Su Hwan Kim, Advisor Xuan Li
Adaptive Designs for Normal Responses with Mismeasured Covariates
Qiaozhi Li, Advisor Kang James
Three-Step Non-Gaussian Quasi Maximum Likelihood Estimation of GARCH Model with Heavy-tailed Innovations
Olive Mbianda, Advisor Joe Gallian
Properly Even Harmonious Graphs
Katarazyna Obral, Advisor Barry James
Simulation, Estimation, and Applications of Hawkes Processes
Anh Phung, Advisor Kang James
Comparison of Support Vector Regression and Neural Network
Martin Rysavy, Advisor Joe Gallian
Solvability of Equations in Clifford Algebras
Melissa Sandahl, Advisor Yang Li
Spatial-Temporal Analysis of Google Flu Counts
Amber Koslucher, Advisor Richard Green
Life Table and Population Projection
Qi Liu, Advisor Yongcheng Qi
A Study of Time Varying Copula Approach to Oil and Stock Market
2015
Christopher Boamah-Mensah, Advisor Steven Trogdon
Eigenvalue approximations of the wave equation with local Kelvin-Voigt damping
Sol Dib, Advisor Bruce Peckham
Generalized Chimera States in Two Interacting Populations of Kuramoto Oscillators
John Fahnenstiel, Advisors Dalibor Froncek & Tereza Kovarova
Isomorphic Decompositions of Complete Graphs into Unicyclic Graphs
Ying Liu, Advisors Kang James & Barry James
Risk Estimation for Large Portfolio based on POET
Ian McGahan, Advisors Dalibor Froncek & Sylwia Cichacz-Przenioslo
Covering Cover Pebbling Number for Cartesian Products of Paths
Evan Oman, Advisor Bruce Peckham
Infinite levels of complexity in a family of one-dimensional singular dynamical systems
Levi Pederson, Advisor Yang Li
Mixed model analysis for repeated measures of lettuce growth
Erik Peterson, Advisor Bruce Peckham
An Application of Fractal Analysis and Wearable Tech to the Health of the Heart
Michael Ross, Advisors Dalibor Froncek & Steve Rosenberg
2-Swappability and Edge Reconstruction Number of Regular Graphs
Andrew Schneider, Advisor John Greene
Investigating Traces of Matrix Products
Aaron Shepanik, Advisors Dalibor Froncek & Petr Kovar
Graph Labelings and Tournament Scheduling
Inne Singgih, Advisors Dalibor Froncek & Sylwia Cichacz-Przenioslo
New Methods for Magic Total Labelings of Graphs
Danielle Stewart, Advisor Joseph Gallian
Even Harmonious Labelings of Disconnected Graphs
Yi Xiao, Advisor Yongcheng Qi
Likelihood Ratio Test of Covariance Matrices of Normal Distributions Proportional to Identity Matrix
Weitong Yin, Advisors Barry James & Steven Chiou
Weighted Kaplan-Meier Estimator For Different Sampling Methods
2014
Katherine Borchert, Advisors Kang James & Xuan Li
A Study of Longitudinal Data Analysis with Applications
Long Chen, Advisor Yongcheng Qi
Extreme Value Theorem
Xiaowen Fang, Advisor Kang James
Recommender Systems & Applications
Brittany Fanning, Advisor John Greene
Periodic Behavior in a Class of Second Order Recurrence Relations Over the Integers
Wenchuan Guo, Advisor Yongcheng Qi
Central Limit Theorem for Testing the Equality of Covariance Matrices
Michal Hrabia, Advisors Kang James & Barry James
Estimation of Large Covariance Matrices using the POET Estimator
Shinjini Kar, Advisors Barry James & Xuan Li
Analyzing Demographic Risks in Long Term Care
Zhaobin Kuang, Advisors: Zhuangyi Liu & Richard Maclin
Asymptotic Expansion of Eigenvalues for an Abstract System of Coupled Evolution Equations
Xiao Li, Advisors Zhuangyi Liu & Barry James
S&P Effect and Investment Classification
Michael Lillegard, Advisor Dalibor Froncek
Magic Boxes and Related Topics
Zhengfei Rui, Advisor Steven Trogdon
Use of Chebyshev Polynomials to Construct L2 and Hilbert Space Inner Product to Solve Eigenvalue Problems With High Accuracy
Diwash Shrestha, Advisor Xuan Li
A Study of the Lee-Carter Model and Its Extensions, with an Application to US Mortality Data
Xuran Yan, Advisors: Kang James & Barry James
Multivariate Bayesian Logistic Regression
Ondrej Zjevik, Advisors John Greene & Dalibor Froncek
Symmetric Chain Decompositions of Partially Ordered Sets
2013
Marie Helbach, Advisor Ron Regal
Generalized Linear Mixed Models for Time Trends in Hawk Migrations
Jana Hurkova, Advisor Harlan Stech
A Predator-Prey Model with Ratio-Dependent Food Processing Response
Samuel Judnick, Advisor John Greene
Patterns in Continued Fraction Expansions
Collin McCauley Van Ryn, Advisor Kang James
Independent Component Analysis (ICA) Using Concepts From Information Theory
Xingguo Li, Advisor Kang James
L1 Regularized High-Dimensional Sparse Regression
Cassandra Quick, Advisor Kang James
Multivariate Multiple Regression Analysis with Application to Powerlifting Data
Lori Ann Schoenhard, Advisor Joseph Gallian
Even Harmonious Graphs
Fang Yuan, Advisor Kang James
Tests for the change-point of AR(1) model
Jeremiah Zblewski, Advisor Marshall Hampton
Lipidomic and Transcriptomic Analysis in a Mammalian Hibernator
Lin Zhang, Advisor Yongcheng Qi
CLT of Testing Independence of Normal Distributions for Arbitrary Partition
Xianwu Zhang, Advisor Barry James
Meeting Times of Taboo Random Walk On Bipartite Graph
Mengjie Zheng, Advisor Yongcheng Qi
Personalized Maximum Liklihood Estimation of Two-Parameter Exponential Distributions
2012
Jacob Yunker, Advisor Dalibor Froncek
Graceful Labeling Necklace Graphs
Stephen Balamut, Advisor Dalibor Froncek
Group Distance Magic Labeling for the Cartesian Product of Cycles
Lindsay Baun, Advisors Kang James and Barry James
Nonparametric Statistical Analysis of the Correlation Between Two Single-Neuron Firing Rates
Brett David Bozyk, Advisor Bruce Peckham
Non-Analytic Singular Continuations of Complex Analytic Dynamical Systems
Jorge Castiblanco, Advisor Barry James
A Markov-Switching Dickey-Fuller Model of Purchasing Power Parity
Michael Stephen Cook, Advisor Marshall Hampton
The Tropical Geometry of Albouy-Chenciner Systems
Lin Dai, Advisors Barry James and Kang James
An Approximation for the Coupon Collector's Problem
Sarah N. Kabes, Advisor Bruce Peckham
The Transition Between the Complex Quadratic Map and the Henon Map
Kyle Krueger, Advisor John Greene
Two Types of Bit String Generating Functions
Xianjing Tang, Advisor Kang James
Regression on a Cylinder
Zizhen Wu, Advisors Barry James and Kang James
The Temporal Correlation between Two Random Processes
Changyu Yang, Advisor Kang James
Triangle Counting in Large Networks
2011
Tom Sjoberg, Advisor Harlan Stech
Development of a Vegetation-Soil-Consumer Model with Harvesting
Kathleen Malevich, Advisor Carmen Latterell
The Accuracy and Validity of Online Homework Systems
Junmin Shi, Advisor Ron Regal
The alignment of mass spectra and identification of biomarkers of pancreatic cancer
Eric Erdmann, Advisor Kathryn Lenz
Strengths and Drawbacks of Voting Methods for Political Elections
Ann Litersky, Advisor Dalibor Froncek
Graceful Kayak Paddles
Hao Han, Advisor Zhuangyi Liu
Optimal Spring-Damper Location for a Beam-Spring System
Amy Virta, Advisor Marshall Hampton
Expression Patterns of Codon Usage and Homopolymers in the 13-Lined Ground Squirrel
Amy Schmidt, Advisor John Greene
Dodgson's Determinant: A Qualitative Analysis
By Trevor Brennan, Advisor John Greene
An Investigation of Erd s’ Method: A Scheme for Generating Carmichael Numbers
2010
James Polsinelli, Advisors Barry James and Bruce Peckham
A Study of Probability and Ergodic theory with applications to Dynamical Systems
Wencheng Geng, Advisor Kang James
Application of Gap statistics to Penalized Model-Based Clustering
Laurence Hao-Ran Lin, Bruce. B. Peckham, Harlan W. Stech, and John Pastor
Enrichment in a Stoichiometric Model of Two Producers and One Consumer
Fang Chen, Advisor Zhuangyi Liu and Hongyi Chen
Exploring the Method to Assess the Effectiveness of Countermeasures for Proactive Traffic Safety Improvement
Ross Garberich, Advisor Ron Regal
The Economic Utilization of Patients with Refractory Angina
Hongbo Lin, Advisor Kang James
A Study of Robust Hybrids of LASSO and Ridge Regression and Applications
Garrett Taft, Advisor Bruce Peckham
Chaos, Attractors and the Lorenz Conjecture: Noninvertible Transitive Maps of Invariant Sets are Sensitive
Nan Zhang, Advisors Yongcheng Qi and Kang James
A Comparison Study of Estimation Methods for Non-regular Distributions
Qingtao Geng, Advisor Steven Trogdon
Use of Chebyshev Polynomials to Construct New Functions to Solve Partial Differential Equations With High Accuracy
Xiaoli Wang, Advisor Kang James and Debao Zhou
Stress Analysis of Biomaterial Cutting Process
Xinyuan Zhang, Advisor Bruce Peckham
Enrichment in a Producer-Consumer Model with varying rates of Stoichiometric Elimination
Fengying Miao, Advisor Ron Regal
Modeling Count Data from Hawk Migrations
2009
Bryan Freyberg, Advisors Carmen Latterell and Harlan Stech
An Academic Trajectory of a Typical STEM Student
Wei Zhang, Advisor Kang James
Penalized Model-Based Clustering
Ronghua Zhu, Advisor Zhuangyi Liu
Active Control of Impulsive Noise
Qingzhao Wang, Advisor Steven Trogdon
Numerical Analysis of Cooling Effects of a Cylinder Head Water Jacket
Kristyna Korinkova, Advisor Marshall Hampton
Characterize Symmetric Non-Negative Homogenous Polynomials on Geometric Configurations
Jie Ren, Advisor Kang James
Spatially Correlated Mixture Models with Application in Genomic Hypothesis Testing
2008
Ran Wei, Advisor Zhuangyi Liu
On a System of Wave Equation and Thermoelastic Equation Coupled at the Interface
Brad Jannesen, Advisor Ron Regal
Support Vector Machines for Binary Classification and its Applications
Lindsey Dietz, Advisor Barry James
What Makes a Champion? A Multivariate Analysis of Major League Baseball
Huimin Liu, Advisor Kang James
Generalized Additive Model
Xiaoxi Zhao, Advisor Kang James
Lasso and Its Applications