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Open Access

Author:: Wu, Kaiyi
Title:: Markov Chain Monte Carlo Methods and Applications
Area of Honors:: Mathematics
Keywords:: Markov Chain Monte Carlo
Adaptive method
File:: Download Kaiyi_Wu.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Open Access

Author:: Keller, Jacob James
Title:: Intersection Theory
Area of Honors:: Mathematics
Keywords:: Algebraic Geometry
Intersection Theory
Enumerative Geometry
File:: Download KellerHThesisFinal.pdf
Thesis Supervisors:: Jack William Huizenga, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

Open Access

Author:: Thornton, Stephen
Title:: Helical Symmetry Solutions to the Equations of Magnetohydrodynamics
Area of Honors:: Mathematics
Keywords:: Magnetohydrodynamics
MHD
Fluids
PDE
Partial Differential Equations
File:: Download ThorntonFinalMathThesis.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

Open Access

Author:: Sickau, Kristin
Title:: An Efficient Cyclic Projection Algorithm for Quadratic Programming Problems
Area of Honors:: Mathematics
Keywords:: Convex Optimization
Cyclic Projections
Quadratic Programming
Dykstra's Algorithm
Dykstra's Cyclic Projections Method
Variational Inequalities
Obstacle Problems
Best Approximation
File:: Download Sickau_Kristin_Thesis.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Wen Shen, Faculty Reader

Open Access

Author:: Yang, Chen
Title:: Kolmogorov Complexity and an Application: Overlapping String Problem
Area of Honors:: Mathematics
Keywords:: Algorithmic information theory
Computability Theory
Kolmogorov complexity
File:: Download Honors_Thesis_Chen_Yang_fall2020_final_.pdf
Thesis Supervisors:: Linda Brown Westrick, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

Open Access

Author:: Bromberg, David Marvin
Title:: A Mathematical Approach to Splitting Two Fried Eggs
Area of Honors:: Mathematics
Keywords:: Computational Methods
Numerical Analysis
Python
Mathematics
Computer Science
Optimization
Optimal Cut
Geometry
File:: Download Bromberg-David_A_Mathematical_Approach_To_Splitting_Two_Fried_Eggs.pdf
Thesis Supervisors:: Wenrui Hao, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

Open Access

Author:: Jin, Xin
Title:: Solution of Problems in Quadratic Programming Using Dykstra's Algorithm
Area of Honors:: Mathematics
Keywords:: quadratic programming
best approximation
dykstra algorithm
ellipsoid method
File:: Download latex_thesis_template-combined.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Xiantao Li, Faculty Reader

Restricted (Penn State Only)

Author:: Bixler, Brian
Title:: Beating Vegas By Predicting The 2022 NCAA Mens Division I College Basketball Tournament Using Neural Networks
Area of Honors:: Mathematics
Keywords:: Sportsbetting
Sports
Betting
Deep Neural Network
DNN
NCAA
College
Basketball
Algorithm
Python
File:: Login to Download
Thesis Supervisors:: Jessica Maral Conway, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

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