Utilizing ARMA Models for Non-Independent Replications of Point Processes Mr. Lucas Fellmeth University of Wisconsin-Milwaukee The use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated …
Adding a Third Normal to CLUBB Mr. Sven Bergmann University of Wisconsin-Milwaukee The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer …
Contraction Rates For McKean-Vlassov Stochastic Differential Equations Mr. Dan Noelck University of Wisconsin-Milwaukee This work focuses on the contraction rates for McKean-Vlasov stochastic differential equations (SDEs), McKean-Vlasov Stochastic differential delay equations (SDDEs), and path dependent McKean-Vlasov stochastic differential equations. Under …
A Finite Element Block Modified Backward Euler Method For Solving A One-Dimensional Poisson-Nernst-Planck Ion Channel Model Mr. Silas Winnemoeller University of Wisconsin-Milwaukee In this thesis, a finite element block modified backward Euler method is introduced to solve a one-dimensional Poisson-Nernst-Planck …
Kostant's Formula and Parking Functions: Combinatorial Explorations Kimberly Harry University of Wisconsin-Milwaukee We let L(λ) denote the irreducible highest weight representation of the classical simple Lie algebra g with highest weight λ. Kostant’s weight multiplicity formula gives a way to …
Homomesy: Theory, Applications, and Explorations Gregor Grote Graduate Student University of Wisconsin-Milwaukee Homomesy is a phenomenon that occurs in combinatorial structures when the average value of a statistic over each orbit is the same. This talk explores the theory of …
Generalized Linear Model approach to the Prediction of the outcome of Mixed Martial Arts Fights Mr. Jackson Thurmond Graduate Student University of Wisconsin-Milwaukee Mixed martial arts is a complex combat sport that encompasses striking, grappling and submissions. In a sport …
Mathematical Modeling Prompts in the Illustrative Mathematics Algebra 2 Course Kyle Piontek Graduate Student University of Wisconsin-Milwaukee An analysis of the mathematical modeling in the modeling prompts from the Illustrative Mathematics Algebra 2 curriculum. In this presentation we will discuss …
Bootstrap-Based Robustness Analysis of Parameter Optimization in Climate Models Using QuadTune Luis Hasenauer Graduate Student University of Wisconsin-Milwaukee Tuning the parameters of climate models is essential for improving their performance, but this process is often complicated by structural limitations, overfitting, …
A Mini History of Geometry with an Emphasis on Transformational Geometry and an Analysis of Illustrative Mathematics Geometry Curriculum Mrs. Jennifer Hartzheim University of Wisconsin-Milwaukee A brief look at the history of geometry, with special attention to transformational geometry. Followed …