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Open Access

Author:: Wu, Jiawei
Title:: Comparisons between the Monte Carlo method and Finite Difference method for option price and interest rate models
Area of Honors:: Mathematics
Keywords:: Numerical Analysis
Financial Mathematics
Partial Differential Equations
File:: Download Wu_Jiawei_Comparisons_between_the_Monte_Carlo_method_and_Finite_Difference_method_for_option_price_and_interest_rate_models.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor

Open Access

Author:: Zhong, Qixiao
Title:: Encodable Model of Set Theory
Area of Honors:: Mathematics
Keywords:: Set Theory
Mathematical Logic
Theory of Computation
File:: Download thesis.pdf
Thesis Supervisors:: Jan S Reimann, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Open Access

Author:: Liang, Fei
Title:: A new training method for neural network in solving PDEs
Area of Honors:: Mathematics
Keywords:: Neural Network
PDE
Deep-Ritz
training method
efficiency
File:: Download A_New_Training_Method_for_Deep_Neural_Network_in_Solving_PDEs.pdf
Thesis Supervisors:: Xiantao Li, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor
Wenrui Hao, Faculty Reader

Open Access

Author:: Kirk, Avery
Title:: Application of Bayesian Probability Model in the Sports Industry
Area of Honors:: Mathematics
Keywords:: Beta-binomial
linear regression
sports betting
odds
moneyline
File:: Download Kirk_Thesis.pdf
Thesis Supervisors:: Jason Ryder Morton, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

Open Access

Author:: Pratt, Madison
Title:: Oscillatory Behaviors of SIRS-like Renewal Equations
Area of Honors:: Mathematics
Keywords:: mathematical modeling
infectious diseases
SIR model
delayed differential equations
File:: Download resub_final_thesis.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Open Access

Author:: Zhang, Zhimin
Title:: Strategy Choice and Performance Analysis of Damping Sequence in Fictitious Play using Evolutionary Games
Area of Honors:: Mathematics
Keywords:: Fictitious Play
Damping Sequence
Evolutionary Game
Game Theory
Adaptive Learning
File:: Download Zhimin_Thesis_Final_Submission.pdf
Thesis Supervisors:: Eli Christopher Byrne, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

Open Access

Author:: Perlin, Eitan
Title:: An Examination of Probabilistic Equilibria in the El Farol Bar Game
Area of Honors:: Mathematics
Keywords:: El Farol Bar Game
Game Theory
Nash Equilibrium
File:: Download An_Examination_of_Probabilistic_Equilibria_in_the_El_Farol_Bar_Game_Final.pdf
Thesis Supervisors:: Andrew Leonard Belmonte, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

Open Access

Author:: Lu, Yuanhang
Title:: The Spin up of a Rotating Fluid in a Tank with Variable Topography
Area of Honors:: Mathematics
Keywords:: Hydrodynamics
Spin up
Fluid Mechanics
File:: Download ThesisFinal.pdf
Thesis Supervisors:: Diane Marie Henderson, Thesis Supervisor
Timothy Charles Reluga, Faculty Reader
Diane Marie Henderson, Thesis Honors Advisor

Open Access

Author:: Lent, Joseph
Title:: Finding New Obstructions to Convexity in Neural Codes using Algebra
Area of Honors:: Mathematics
Keywords:: convex
neural codes
non-local obstructions
File:: Download Final_Thesis_Joseph_Lent.pdf
Thesis Supervisors:: Carina Pamela Curto, Thesis Supervisor
Laura Rotunno, Thesis Honors Advisor
Vladimir Itskov, Faculty Reader

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:: Ren, Qingze
Title:: A Math and Statistics Approach to Go
Area of Honors:: Mathematics
Keywords:: Go
File:: Download Qingze_Ren_--_A_Math_and_Statistics_Approach_to_Go.pdf
Thesis Supervisors:: Boris V Kalinin, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Open Access

Author:: Tan, Qinyang
Title:: spectral study of neural networks with ReLU and hat activation functions
Area of Honors:: Mathematics
Keywords:: math
deep learning
finite element methods
ReLU
File:: Download thesis.pdf
Thesis Supervisors:: Qingguo Hong, Thesis Supervisor
Anna L Mazzucato, Thesis Honors Advisor

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