Student Publications

Austin Rutten, Advisor Marshall Hampton
“Co-orbital Central Configurations with 3 Infinitesimal Masses and a Varying Potential”

Fuli Wang, Advisor Yongcheng Qi
“Constructing Confidence Interval of the L-Statistic Using Jackknife Empirical Likelihood”

Hongru Zhao, Advisor Yongcheng Qi
“Spectral Empirical Distributions for Products of Rectangular Matrices”

Katherine Hurst, Advisor Tracy Bibelnieks
“Novel Statistical Approach to Measuring Food Insecurity at a Census Block Group Level”

Jieming Liu, Advisor Yang Li
“Hidden Markov Models”

Jordan Klumper, Advisor Marshall Hampton
“Modeling Social Motility in Trypanosoma brucei”

Karlee Westrem, Advisor Joe Gallian
“Groups of Units Modulo f(x)”

Lincoln Sorensen, Advisor Dalibor Froncek
“Labeling the Products of Cycles Using Abelian Groups”

Noah Wong, Advisor Bruce Peckham and Richard Buckalew
“Newton's Method for Two Dimensional Functions”

Tianyi Zhang, Advisor Yang Li
“Bandwidth Selection in Nonparametric Density Estimation on a Sphere”

Xinyu Sui, Advisor Yang Li
“Power-Law Distribution”

Yingchao Zhou, Advisors Yongcheng Qi and Xuan Li
“Test for Independence of Normal Random Vectors using Empirical Likelihood”

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”

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”

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”

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”

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”

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”

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”

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”

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”

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”

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”

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”