Fall 2019 Friday, November 22, 2019 Summer 2019 Friday, June 14, 2019 Monday, June 3, 2019 Spring 2019 Tuesday, March 19, 2019 Summer 2018 Monday, June 18, 2018 Spring 2018 Thursday, March 22, 2018 Monday, April 2, 2018 Spring 2017 Tuesday, March 21, 2017 Friday, March 24, 2017 Summer 2016 Tuesday, June 28, 2016 Spring 2016 Thursday, March 17, 2016 Friday, March 18, 2016 Thursday, March 24, 2016 Friday, March 25, 2016 Friday, March 25, 2016 The MAMS Department will host a reception to celebrate our PhD students’ successful dissertation defenses, with cake and beverages provided. All department faculty, students, staff, and visitors are welcome. Thursday, April 28, 2016 Spring 2014 Monday, March 3, 2014 Tuesday, March 4, 2014 Friday, March 7, 2014 Thursday, March 20, 2014 Monday, March 24, 2014 Friday, March 28, 2014 |
Master’s Presentations and Defenses
Fall 2019
Monday, November 18, 2019
3:00 p.m. Yost Hall, Room 306
Student: Wuyan Xu
Advisor: Patricia Williamson and Minwoo Chae
Title: Music Recommender System
Monday, December 2, 2019
4:00 p.m. Yost Hall, Room 107
Student: Shengyang Zhang
Advisor: Anirban Mondal
Title: Application of Bayesian Logistic Regression in Predicting Bank Loan Acceptance Rate
Tuesday, December 10, 2019
12:30 p.m. Yost Hall, Room 306
Student: Yawei Zhang
Advisor: Patricia Williamson
Title: Statistical Classification Methods Used in Credit Risk Case
Fall 2018
Monday, December 10, 2018
2:00 p.m. Yost Hall, Room 102
Student: Nicholas Marino
Advisor: Nick Gurski
Title:Vector Bundles and Projective Varieties
Spring 2019
April 3, 2019
11:00 a.m. Yost Hall, Room 306
Student: Hongxu Zhu
Advisor: Minwoo Chae
Title: An R Package for Fitting Dirichlet Process Mixtures of Multivariate Normal Distributions
April 3, 2019
2:15 p.m. Yost Hall, Room 306
Student: Sararose Nassani
Advisor: Wojbor Woyczynski
Title: An Application of Statistical Methods and Random Graphs on Local Heroin Markets
April 3, 2019
4:00 p.m. Yost Hall, Room 306
Student: Alex Balsells
Advisor: Erkki Somersalo
Title: Computational Methods for Radiation Therapy Planning
April 2, 2019
4:00 p.m. Yost Hall, Room 306
Student: Brian Johnson
Advisor: Daniela Calvetti
Title: Mining the Mind: Data Mining Techniques and Their Application to the Study of Meditation
April 1, 2019
4:00 p.m. Yost Hall, Room 306
Student: Abhinivesh Devathi
Advisor: Daniela Calvetti
Title: Uncertainty Quantification for Underdetermined Inverse Problems via Krylov Subspace Iterative Solvers
Wednesday March 27, 2019
2:00 p.m. Yost Hall, Room 306
Student: Xiaohan Li
Advisor: Patricia Williamson
Title: Comparison of Eight Intervals in the Estimation of a Poisson Mean
Tuesday March 26, 2019
2:30 p.m. Yost Hall, Room 306
Student: David Judkovich
Advisor: Mark Meckes
Title: Variations on the Matching Problem
Tuesday March 26, 2019
3:45 p.m. Yost Hall, Room 306
Student: Daniel Kessler
Advisor: Weihong
Title: Tensor Deblurring via Tensor Nuclear Norm and Total Variation
Spring 2018
Tuesday, May 1, 2018
11:00 a.m. in Yost Hall, Room 107
Student: Carrie Winterer
Advisor: Alethea Barbaro
Title: Predicting Twitter Time Series Using Generalized Linear Models
Wednesday, April 4, 2018
2:00 p.m. Yost Hall, Room 306
Student: Xueyi Zhang
Advisor: Anirban Mondal
Title: Enrichment of Heritability Across Several Hypertension Related Traits
Wednesday, March 28, 2018
1:00 p.m. in Yost Hall, Room 306
Student: Xuan Ma
Advisor: Jenny Brynajarsdottir
Title: Photovoltaic Module Performance Study with Data-Driven I-V Feature Extractions and Time Series Analysis
Wednesday, March 28, 2018
3:00 p.m. Yost Hall, Room 306
Student: Nana Ama Baffoe
Advisor: Jenny Brynajarsdottir
Title: Diagnostic Tool of Forecast
Summer 2017
Friday, July 28, 2017
11:00 a.m. in Yost Hall, Room 306
Student: Yukun Song
Advisor: Wojbor Woyczynski
Title: Stochastic Integrals with respect to Tempered alpha-Stable Levy Process
Spring 2017
Wednesday, March 8, 2017
1:30 p.m. in Yost Hall, Room 306
Student: Alexander Cao
Advisor: Peter Thomas
Title: Dimension reduction for stochastic oscillators: Investigating competing generalizations of phase and isochrons
Wednesday, March 22, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Tejas Joshi
Advisor: Wanda Strychalski
Title: Modeling the appendix’s role in C. difficile infection
Friday, March 31, 2017
9:00 a.m. in Yost Hall, Room 306
Student: Youjun Li
Advisor: Anirban Mondal
Title: Bayesian Non-Linear Quantile Regression with Application in Decline Curve Analysis for Petroleum Reservoirs
Friday, March 31, 2017
10:30 a.m. in Yost Hall, Room 306
Student: Yuchen Han
Advisor: Anirban Mondal
Title: Bayesian variable selection using Lasso
Friday, March 31, 2017
2:00 p.m. in Yost Hall, Room 306
Student: James Austrow
Advisor: Wojbor Woyczynski
Title: Conservation Laws Driven by Lévy Stable and Linnik Diffusions: Shock Dissolution and Hausdorff Dimension
Wednesday, April 5, 2017
1:00 p.m. in Yost Hall, Room 306
Student: Wesley Maddox
Advisor: Wojbor Woyczynski
Title: Dependency measures and copulas for multidimensional infinitely divisible distributions
Wednesday, April 5, 2017
2:30 p.m. in Yost Hall, Room 306
Student: Yu Deng
Advisor: Patti Williamson
Title: Data mining: application of clustering method
Thursday, April 27, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Greg Knapp
Advisor: Colin McLarty
Title: Convex Geometry and Minkowski’s Linear Forms Theorem in Elementary Function Arithmetic
Summer 2015
Monday, August 3, 2015
10:00 a.m. in Yost Hall, Room 306
Student: Casey Bennett
Advisor: Peter Thomas
Title: Channel Noise And Firing Irregularity In Hybrid Markov Models Of The Morris-Lecar Neuron
Spring 2015
Wednesday, April 29, 2015
11:00 a.m. in Yost Hall, Room 306
Student: Benjamin Cowen
Advisor: Weihong Guo
Title: Bregman Operator Splitting with Variable Step Size for TGV based Multi-Channel MRI Reconstruction
Spring 2014
Friday, May 16, 2014
1:00 p.m. in Yost Hall, Room 306
Student: Alexey Ilchenko
Advisor: Erkki Somersalo
Title: An Approach to Graph Isomorphism Using Spanning Trees Generated by Breadth First Search
Tuesday, March 25, 2014
3:00 p.m. in Yost Hall, Room 306
Student: Steven Maire
Advisor: David Singer
Title: Inverted Binary Edwards Coordinates (Maire Model of an Elliptic Curve)
Senior Capstone Presentations
Fall 2019
Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Haoyuan Zhou
Advisor: Patricia Williamson
Title: Analysis on Contributing Factors of Movies’ Box Office Revenue
Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Junqiao Feng
Advisor: Patricia Williamson
Title: Does Race Play a Determining Factor in College Admission?
Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Sierra Vo
Advisor: Patricia Williamson
Title: Ependymoma Incidence and Survival in the Adult and Pediatric United States Population from 2005-2016 Using the Central Brain Registry of the United States
Fall 2018
Wednesday December 12, 2018
10:00 a.m.
Student: Sabrina Yang
Advisor: Patricia Williamson
Title: Abalone Alone – Age Predicition of Abalone
Wednesday December 12, 2018
10:00 a.m.
Student: Roman Kouznetsov
Advisor: Patricia Williamson
Title: NASCIC Survey Analysis of SCI Patients
Wednesday December 12, 2018
10:00 a.m.
Student: Alexa Simoneau
Advisor: Patricia Williamson
Title: Examining Mergers
Wednesday December 12, 2018
10:00 a.m.
Student: Wanning Li
Advisor: Patricia Williamson
Title: Applying the Poisson Distribution to the Realistic Problems
Spring 2019
Wednesday May 8, 2019
1:30 p.m.
Student: Chenji Hui
Advisor: Danhong Song
Title: Heart Disease Prediction
Thursday May 9, 2019
1:00 p.m.
Student: Xinyuan Gao
Advisor: Danhong Song
Title: A Case Study of Washington Real Estate Sales
Wednesday May 8, 2019
12:00 p.m.
Student: Pratyusha Sambaru
Advisor: Wojbor Woyczynski
Title: Exotic Option Pricing Using Black Scholes
Wednesday May 8, 2019
1:00 p.m.
Student: Tongxu Sun
Advisor: Wanda Strychalski
Title: A Finite Difference Method for Solving the Diffusion
Wednesday May 8, 2019
12:00 p.m.
Student: Zezhou Long
Advisor: Joel Langer
Title: Tree and Graph Plots of MAMS Department Genealogy and Collaborations
Wednesday May 8, 2019
11:30 a.m.
Student: Fabio Capovilla-Searle
Advisor: Joel Langer
Title: Indices of Pencil Singularities in the Projective
Wednesday May 8, 2019
11:00 a.m.
Student: Raul Arturo Henandez Gonzalez
Advisor: Joel Langer
Title: Skeletons of Generic Polynomials and Rational Maps
Wednesday May 8, 2019
10:30 a.m.
Student: Jorge Prendes
Advisor: Joel Langer
Title: The Platonic Belyi Maps of Felix Klein
Friday May 3, 2019
3:00 p.m.
Student: Xin Hu
Advisor: Anirban Mondal
Title: Red Wine Quality Prediction Using Logistic Regression and Machine Learning Methods
Wednesday May 1, 2019
2:00 p.m.
Student: Rachel Boedicker
Advisor: Erkki Somersalo
Title: Synthetic Aperture Radar
Wednesday May 1, 2019
1:30 p.m.
Student: Runtian Miao
Advisor: Wojbor Woyczynski
Title: Option Pricing
Wednesday May 1, 2019
1:00 p.m.
Student: Shannon Carroll
Advisor: Patricia Williamson
Title: General Linear Model for Predicting Violent Crimes in the United States
Wednesday May 1, 2019
12:30 p.m.
Student: Chelsy Xia
Advisor: Elizabeth Sell
Title: The p-adic Numbers and Irreducibility of Polynomials over Q
Wednesday May 1, 2019
12:00 p.m.
Student: Christine Li
Advisor: Elizabeth Sell
Title: Resolution of Plan Curve and Surface Singularities by Blowing Up
Wednesday May 1, 2019
11:30 a.m.
Student: David Tyler
Advisor: Nick Gurski
Title: Classification of Complex Simple Lie Algebras
Wednesday May 1, 2019
11:00 a.m.
Student: Stephen Liu
Advisor: Mark Meckes
Title: The Magnitude of a Finite Metric Space
Tuesday April 30, 2019
1:00 p.m.
Student: Daniel Kim
Advisor: Patricia Williamson
Title: League of Legend’s SK Telecom T1 2016: Model Building Process Using Generalized Logistic Model to Predict a Game Result at 20 Minutes
Tuesday April 30, 2019
1:30 p.m.
Student: Weiran Zhang
Advisor: Patricia Williamson
Title: Second-hand Housing Price in Beijing Nowadays and Its Determinants
Monday April 29, 2019
3:00 p.m.
Student: Zhihao Huang
Advisor: Patricia Williamson
Title: Survival Analysis and its Application on Chronic Granulomatous Disease Data
Monday April 29, 2019
3:30 p.m.
Student: Zhanchao Ye
Advisor: Patricia Williamson
Title: Predicting Eastern Champion of Eastern NBA Teams Based on Regression Analysis of Common Basketball Statistics
Thursday March 28, 2019
10:00 a.m.
Student: Roland Baumann
Advisor:
Title: Understanding Totally Symmetric and Medial Quasigroups by a Study of Latin Squares and their Isotopes
Thursday March 28, 2019
10:30 a.m.
Student: Jacob Rosales Chase
Advisor:
Title: Lenses and Yoneda: A Peek Into Functional Structures Through a Categorical Lens
Summer 2018
Wednesday August 14, 2018
3:00 p.m. Yost Hall, Room 306
Student: Zhitao Jia
Advisor: Anirban Mondal
Title: A Linear Regression Practice
Spring 2018
Tuesday May 8, 2018
12:00 p.m. Yost Hall, Room 306
Student: Rener Zhang (Statistics)
Advisor: Danhong Song
Title: A Study in Road Condition and Weather Factors
Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Andrew Taranto (Statistics)
Advisor: Patricia Williamson
Title: The Oldest Line in a Coach’s Book
Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Jaclyn Warden (Statistics)
Advisor: Patricia Williamson
Title: Boston Housing Data Analysis
Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Alexander Bechler (Statistics)
Advisor: Patricia Williamson
Title: Expansions of the Phillips Curve Hypothesis
Tuesday May 1, 2018
2:45 p.m. Yost Hall, Room 306
Student: Nicholas Marino (Mathematics)
Advisor: Nick Gurski
Title: Projective Curves, Finite Fields, and Zeta Functions
Tuesday May 1, 2018
2:00 p.m. Yost Hall, Room 306
Student: Heather Weaver (Mathematics)
Advisor: Nick Gurski
Title: The Tarski-Seidenberg Theorem in Real Algebraic Geometry
Tuesday May 1, 2018
1:00 p.m. Yost Hall, Room 306
Student: Emily Schnittman (Applied Mathematics)
Advisor: Daniela Calvetti
Title: Diffusion Maps and Data Mining
Tuesday May 1, 2018
12:30 p.m. Yost Hall, Room 306
Student: Greg Hessler (Applied Mathematics)
Advisor: Peter Thomas
Title: Information-Theoretic Analysis of Biological Signal Transduction in the Linear Regime
Tuesday May 1, 2018
12:00 p.m. Yost Hall, Room 306
Student: Nick Barendregt (Applied Mathematics)
Advisor: Peter Thomas
Title: Heteroclinic Cycling in Discrete Stochastic Population Models
Tuesday May 1, 2018
11:00 a.m. Yost Hall, Room 306
Student: Yuta Hozumi (Applied Mathematics)
Advisor: Erkki Somersalo
Title: Reconstructing Molecular Structures from Cryoelectron Microscopy Data
Tuesday May 1, 2018
10:30 a.m. Yost Hall, Room 306
Student: Karina Husodo (Applied Mathematics)
Advisor: Wojbor Woyczynski
Title: Statistical Inference for Heavy-Tailed Distributions
Tuesday May 1, 2018
10:00 a.m. Yost Hall, Room 306
Student: Michael Novet (Mathematics)
Advisor: Mark Meckes
Title: Analysis of Optimal Stregies in Penney’s Game
Monday April 30, 2018
3:00 p.m. Yost Hall, Room 306
Student: David Judkovich (Mathematics)
Advisor: Elizabeth Meckes
Title: Stein’s Method and Approximate Matching
Monday April 30, 2018
3:00 p.m. Yost Hall, Room 306
Student: Tianyue Liu (Mathematics)
Advisor: Elizabeth Meckes
Title: Large Deviation Principle of Random Matrices’ Eigenvalues
Monday April 30, 2018
5:30 p.m. Yost Hall, Room 102
Student: Yiting Cao (Mathematics)
Advisor: Elizabeth Meckes
Title: Mean Width of Convex Bodies
Friday April 27, 2018
2:00 p.m. Yost Hall, Room 306
Student: Ondrej Maxian (Applied Mathematics)
Advisor: Wanda Strychalski
Title: A Continuous Energy Based Immersed Boundary Method with Improved Accuracy and Applications
Spring 2017 (Full itinerary here)
Tuesday, May 2, 2017
1:30 p.m. in Yost Hall, Room 306
Student: Dayang Fang
Advisor: Patti Williamson
Title: The Analysis of multivariate linear model of Chinese real estate price
Abstract:There are several factors playing a critical role in impacting real estate price of China’s large cities. These factors include GDP, population, immigration, mileage of Urban Rail Transit facilities, average saving of a person, and average consumption of a person. Using data on these factors and data of housing prices, this study constructs a multivariable linear model to evaluate the effect of these variables on housing quantitatively and graphically. For example, a correlation test reveals significant correlations between housing price and these factors and a scatterplot reveals the linear relationship between housing price and these factors. I also use extra sums of squares in Tests for regression Coefficients to see whether some coefficients can or cannot be dropped from the linear model.
Tuesday, May 2, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Jacob Caprara
Advisor: Patti Williamson
Title: Building a Predictive Model for Ohio Election Turnout
Abstract: Election turnout varies over a wide range both year to year and from county to county in the state of Ohio. An analysis was run on each of Ohio’s 88 counties with eight different factors to discover their effect on election turnout over the last twenty years. These factors include previous turnout, unemployment, population density, minority population, income, education level, partisanship in the previous Presidential election, and the poverty level. Analysis was performed using multiple linear regression and principal component analysis using Excel to organize the data and R to run the analyses.
Thursday, May 4, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Isabelle Wagner
Advisor: Jenny Brynjarsdottir
Title: Salaries of NFL Quarterbacks.
Abstract: I’ll discuss the variables used in the analysis of their salaries and some basic visualizations showing how they relate to it. Next I’ll show the multiple regression model including all of the variables and analyze how good of a model this is for predicting salary. Then, I’ll discuss modifications made to the model to improve its accuracy in prediction. Finally, I’ll explain the conclusions I was able to come to from this project.
Student: Thomas Nolan
Advisor: Jenny Brynjarsdottir
Title: Modeling the NCAA Basketball Tournament Selection Process
Abstract: The NCAA Division I Men’s Basketball Tournament is one of the most watched annual sporting events in the United States, and one important aspect of the event is the selection and seedings of the teams participating in the tournament. The goal of this study is to use statistical modeling to mimic the thought-process of the Selection Committee to accurately predict the 68 participants of the NCAA Tournament and their seeds. The best model for predicting at-large teams receiving bids is one that has the highest accuracy of correctly selecting the teams. The best model for determining seeding is one that minimizes the mean square error of the predicted seed compared to the actual seed. In this paper, I will give a more detailed background of the NCAA Tournament selection process, the data and variables that are likely to be used by the Selection Committee, and the modeling process and prediction results.
Student: Adam Thompson
Advisor: Anirban Mondal
Title: Analysis of Relevant Factors in Survival Rates of Breast Cancer Patients
Abstract: This presentation deals with the survival rates of breast cancer patients on various factors. This was achieved by obtaining from a German Breast Cancer study and assessing the data in order to create relevant models for the data. Model diagnostics and validation were carried out in order to determine the best model from assessment for the data. The resulting model details some key factors in the survival rates of breast cancer patients.
Fall 2016
Wednesday, Dec. 7, 2016
1:45 p.m. in Yost 306
Student: Yiru Zhong
Advisor: Danhong Song
Title: Familywise Discovery Rate and False Discovery Rate
Abstract: This project compares the Bonferroni correction, which controls family-wise discovery rate (FWER) in multiple testing and the Benjamini-Hochberg procedure (BH method), which controls false discovery rate (FDR). The goal of this project is to look at the cons of FWER and reasons for FDR’s growing popularity. As this project goes on, different distributions of p-values under two conditions, all nulls are true, and not all nulls are true, are studied. This will affect the ways to choose the upper bound q when using BH method.
Wednesday, Dec. 7, 2016
2:15 p.m. in Yost 306
Student: Enyi Lian
Advisor: Jenný Brynjarsdóttir
Title: Spatial Analysis About Soil Moisture
Abstract: This senior project applied methods from spatial statistics to analysis spatial relationship about soil moisture between two random locations in each block. Data is collected from University Farm. The presentation will show some basic ideas used in spatial analysis, such as variogram and kriging.
Monday, Dec. 12, 2016
1:00-3:30 p.m. in Yost 306
Student: Grace Cammarn
Advisor: Patti Williamson
Title: Assessing the Public Health of 50 U.S. Cities
Abstract: In April 2016, the Aetna Foundation announced the start of the Healthiest Cities & Counties Challenge. In the Challenge, 50 cities and counties would be competing to improve the public health of their targeted areas. I will simulate the Healthiest Cities & Counties Challenge by selecting 50 random U.S. cities and comparing different public health metrics in order to determine what factors lead to healthier cities. Public health, the science of protecting and improving the health of communities through policies and the promotion of at-home healthy lifestyles is not an easy thing to measure. There is no single index or measure that indicates the overall health of a community. Public health metrics must cover areas of personal health behaviors, the built environment, socio-economic factors, community safety, and other environmental exposures. My simulation revealed that at present, there is not a robust data source that would allow the public health of different U.S. cities to be accurately compared. I will recommend that publicly available public health data be used on a region-by-region basis, not as comparison metrics. I will also recommend that U.S. census procedures inquire about more public health related topics.
Student: Jenna Ehrle
Advisor: Patti Williamson
Title: Women’s Rights and Economic Performance
Abstract: This project analyzes a merged data set of levels of women’s rights in different countries in 2014 from the Organization for Economic Co-operation and Development and GDP per capita of different countries in the years 2005-2015 from The World Bank. The goal of this project is to explore the connection between women’s rights and economic performance and development, hopefully to find that higher levels of women’s rights have a positive effect on economic performance. This project utilizes the application of exploratory data analysis, linear regression, and additional data analysis techniques.
Student: Yinger Fan
Advisor: Patti Williamson
Title: Investigation on the Correlations between HIV, Literacy Rate, and Socioeconomic Status
Abstract: Simple regression models and chi-square tests were used to investigate the relationships between HIV, literacy rate, and socioeconomic status. Data are collected from demographic and health surveys, EFA global reports, AIDS indicator surveys, and ready-made research on wealth and poverty linking to HIV in Africa. R software was used in the analysis. The relationship between literacy rate and HIV prevalence in several African countries was investigated by using simple linear regression. The relationship between socioeconomic status and HIV prevalence in 12 African countries was investigated using the chi-square test.
Thursday, Dec. 15, 2016
11:00 a.m. in Yost 306
Student: John Kaushagen
Advisors: Wanda Strychalski and Longhua Zhao
Title: A Numerical Investigation of Lagrangian Coherent Structures in Fluid Flow
Abstract: Lagrangian Coherent Structures are useful for determining the behavior of dynamical systems, and in particular they are useful for separating fluid flow into distinct regions. LCS has been used to study flow patterns in blood flow, flow past an airfoil, and ocean currents. However, rigorous numerical testing and validation of existing software packages, such FlowVC is lacking. In this work, we test the numerical convergence of the numerical methods used in the FlowVC software to determine LCS. We perform various convergence tests to determine the validity of data output used to defined the coherent structures. Specifically we test the following incompressible velocity fields: uniform fluid flow, vortex flow, double gyre flow, and flow past a sphere. Results show that the methods do not converge due to large numerical error on the boundary. Therefore, we recommend using LCS on a smaller domain away from the physical boundary of the system where we show first convergence in space can be achieved.
11:30 a.m. in Yost 306
Student: Tong Zhao
Advisor: Mark Meckes
Title: Two characterizations of inverse-positive matrices
Abstract: A matrix M is called inverse-positive if M is non-singular and the inverse of M has all non-negative entries. I will talk about two characterizations of inverse-positive matrices and examples of them.
Spring 2016
Tuesday, March 29, 2016
4:15 p.m. in Yost Hall, Room 343
Student: Yu Peng
Advisor: Erkki Somersalo
Title: Independent Component Analysis
Abstract: Independent Component Analysis (ICA) is a powerful computational tool for separating independently generated signals from each other based on a multi-channel registration of the mixed signal. The classic example is the cocktail party problem, in which the goal is to separate several simultaneous speakers from each other. ICA is widely used, e.g., in medical applications such as electroencephalography (EEG) to discern the different brain signals from the noisy registration. The talk reviews the basic idea behind the ICA.
Monday, April 25, 2016
1:00 p.m. in Yost Hall, Room 306
Student: Margo J. Suryanaga
Advisor: Wanda Strychalski
Title: A Comparison of Public Market Equivalent Calculations
Abstract: Generally, the Private Equity industry calculates Internal Rates of Return (IRR) and Market Multiples to weigh the performance of an investment or fund. However, while these calculations can be used to compare between private investments, it cannot be used to compare private investments with other asset classes, requiring the calculation of a public market equivalent. A public market equivalent (PME) acts as a measure of the performance of a private equity fund by comparing it against a benchmark in the public market (in our case the S&P500). While several methods have been created to calculate PMEs have been found, we will take a closer look at three methods of calculating PME: Long-Nickels method, Kaplan-Schoar method, and Direct Alpha method. We will look at how each equation and/or algorithm to calculate PME affects its ability to accurately depict the performance of an investment. We will also look at using these methods to then determine the best one among the three to be a basis for a predictive model.
MATH 352 Senior Capstone Presentation Session
Wednesday, April 27, 2016
9:00 a.m.-3:15 p.m. in Yost Hall, Room 306
Organizer: Joel Langer
See here for the itinerary.
Thursday, April 28, 2016
3:00 p.m. in Yost Hall, Room 306
Student: James Matthiesen
Advisor: Danhong Song
Title: Finding Bestsellers? An Application of Data Analysis with Open Source Data
Abstract: This project analyzes a historical data set containing the daily top 100 bestselling shoe products on amazon.com over a 2-and-a-half-year period. The project goal is to identify characteristics which may be indicative of successful products, success being defined as the amount of days a product is listed in the top 100 bestsellers, and to attempt to predict the amount of days a product will appear on the best sellers list. This project will showcase the practical application of data analysis techniques such as linear regression, principal components analysis, Poisson regression, time series analysis, and exploratory data analysis among other techniques.
Fall 2015
Tuesday, December 15, 2015
4:00 p.m. in Yost Hall, Room 306
Student: Kirk Walford
Advisor: Patti Williamson
Title: A Titanic Analysis
Abstract: The RMS Titanic sank in 1912, what can we still learn from it today? This talk will discuss the steps, process and outcome of using R to create a predictive model. This model will be used to predict the “survivability” of individuals based off of key characteristics. This talk will also discuss how creating a predictive model is useful in other catastrophic situations.
Summer 2015
Tuesday, August 4, 2015
2:00 p.m. in Yost Hall, Room 306
Student: Tyler Aust
Advisor: Wojbor Woyczynski
Title: Stabilization of Rotor-Dynamic Vibrations by Means of Additive, Stochastic Noise
Spring 2015
Tuesday, May 5, 2015
4:00 p.m. in Yost Hall, Room 306
Student: Feng Jin
Advisor: Danhong Song
Title: Overdispersion of Regression Models
Thursday, May 7, 2015
12:30 p.m. in Yost Hall, Room 306
Student: Zhengyi Liu
Advisor: Steven Izen
Title: Parameter Determination for a Channelized Hotelling Detectability Experiment
Fall 2014
Wednesday, December 10, 2014
3:00 p.m. in Yost Hall, Room 306
Student: Alexander Katz
Title: CRAPS, can you win?
Abstract: I investigated the game of Craps because I enjoy gambling and I have been successful playing Craps at casinos. While at the casino, I have done some mental math and found some parts of the game to have good odds. However, I had never done any of the hard mathematics. This project allowed me the opportunity to research something that I enjoy and to see whether or not it was possible to make money. In order to figure out the odds of each game and to see if it was possible to make a profit, I used an assortment of different probability techniques. This included anything as simple as figuring out the chance that a two will roll next to the probability of a seven coming before a ten given that a ten has already been rolled.
Spring 2014
Tuesday, April 29, 2014
12:00 p.m. in Yost Hall, Room 101
Student: Ivana Mikic
Advisor: Patricia Williamson
Title: The Cost of College: A Statistical Analysis of Which University Characteristics Matter for Tuition Rates
Abstract: The cost of attending a private university in America has become a financial burden for many degree-seeking students. Some private colleges, however, have much higher price tags than others. Our question of interest pertains to what factors influence tuition rates at private universities in America. Do the universities with similar tuition rates also share some similar qualities? Given certain publicly available characteristics of a university, can we fit a linear regression model that allows us to predict that university’s “correct” tuition rate with a rather high degree of accuracy? In this talk, I describe the process I took in an attempt to seek answers to these questions through a statistical analysis.
Friday, May 2, 2014
2:00 p.m. in Yost Hall, Room 112
Student: Zhouyang Zhang
Advisor: John Duncan
Title: Some Worked Examples for a Conjecture on Twisted Generalized Borcherds Lift
Abstract: In 2010, Eguchi, Ooguri and Tachikawa discovered an incredible and mysterious connection between the Mathieu group M24 and K3 surfaces. In 2012, Cheng, Duncan and Harvey further related moonshine to certain mock theta functions discovered by Ramanujan. In this project, by using the data from the paper “Umbral Moonshine and the Niemeier Lattices”, we found evidence that for a Niemeier root system X and its corresponding vector valued weak harmonic Maass form, a conjectural generalization the Borcherds lift (for a given admissible pair) coincides with a rational function in an eta product defined by the Coxeter element of X. This project contains five examples from two root systems with discriminants of different class numbers. These examples provide interesting data for understanding the hidden, mysterious nature of moonshine.
Monday, May 5, 2014
4:30 p.m. in Yost Hall, Room 306
Student: Yulei Wang
Advisor: Danhong Song
Title: A Study of Simpson’s Paradox
Abstract: Simpson’s Paradox may lead to intuitive but invalid conclusion on the correlation between variables. For this talk, I will describe how I applied the existing contingency table approach to analysis the paradox under a real world paradoxical data – Economic Recession: 1982 vs.2009. The study also includes an attempt to summarize the conditions of conditional probabilities, based on which I can construct my own paradoxical data. Finally, to compare the accuracies of the Chi-square and B-square tests in determining the measure of association between two variables, a simulation process is used.
Thursday, May 8, 2014
1:30 p.m. in Yost Hall, Room 102
Student: Michelle Bergeron
Advisor: John Duncan
Title: Matrix Actions on Bivariate Polynomials
Abstract: Using a matrix action, matrices in the group SL 2 mod n can act on homogenous polynomials in two variables. We find homogenous (bivariate) polynomials of any given degree are closed under the matrix action, and that the mappings from a polynomial to the result of the action on it lay the foundation for certain patterns that we describe.
Thursday, May 8, 2014
2:30 p.m. in Yost Hall, Room 102
Student: Christopher Parker
Advisor: David Singer
Title: Lattice-Based Digital Signature Schemes: An Overview and Improvement
Abstract: With the prospect of quantum computers on the horizon, the most widely used cryptosystems may soon be rendered obsolete. A possible solution is lattice-based cryptosystems, for which there are no known quantum attacks. Signature schemes based on the hardness of lattice problems are theoretically very efficient and secure, although a large key size is required to make lattice reduction attacks infeasible in practice. I focus on lattice-based signature schemes, their development over the past two decades and a modern one-time signature scheme due to Micciancio and Lubyshevsky (and I give a basic improvement of the scheme using Merkle Trees).
Friday, May 16, 2014
2:00 p.m. in Yost Hall, Room 102
Student: Brendan Dosch
Advisor: John Duncan
Title: The Golay Code C_{24} and the M_{24} – E_{8} Connection
Abstract: There is a known correspondence between a particular set of conjugacy classes of the group M_{24} and the nodes of the affine Dynkin diagram arising from the E_{8} lattice. More specifically, the nine conjugacy classes of M_{24} that arise as compositions of two 2A class involutions correspond to the nine nodes of the affine E_{8} diagram. As M_{24} is known to be the automorphism group of the extended binary Golay code C_{24}, we investigate how this correspondence appears in the context of C_{24}. Namely, we attach to each 2A involution of M_{24} a unique subcode of C_{24} isomorphic to the extended binary Hamming code H_{8}. We then characterize the relationship between any two 2A involutions and the corresponding copies of H_{8} and relate these pairs of H_{8} copies to the nodes of the affine E_{8} diagram.