Events
Department of Mathematics and Statistics
Texas Tech University
 | Monday
Apr. 22
|
| Algebra and Number Theory
No Seminar
|
I will discuss several extremal problems for the logarithmic capacity of constellations (collections) of disks in the plane. Solutions for some of these problems will be provided and a few conjectures for problems which remain open will be suggested. Similar problems for the hyperbolic capacity of constellations of disks in the hyperbolic plane also will be mentioned.
Fitts' law is often employed as a predictive model for human movement, especially in the field of human-computer interaction. Models with an assumed Gaussian error structure are usually adequate when applied to data collected from controlled studies. However, observational data (often referred to as data gathered in the wild) typically display noticeable positive skewness relative to a mean trend as users do not routinely try to minimize their task completion time. As such, the exponentially-modified Gaussian (EMG) regression model has been applied to aimed movements data. However, it is also of interest to reasonably characterize those regions where a user likely was not trying to minimize their task completion time. In this paper, we propose a novel model with a two-component mixture structure -- one Gaussian and one exponential -- on the errors to identify such a region. An expectation-conditional-maximization (ECM) algorithm is developed for estimation of such a model and some properties of the algorithm are established. The efficacy of the proposed model, as well as its ability to inform model-based clustering, are addressed in this work through extensive simulations and an insightful analysis of a human aiming performance study.
Please virtually attend this week's Statistics seminar at 4:00 PM (UT-5) via this zoom link.
Meeting ID: 989 5665 4842
Passcode: 188075
Classical vector valued paths are widespread across pure and applied mathematics: from stochastic processes in probability to time series data in machine learning. Parallel transport of such paths in principal G-bundles have provided an effective method to characterise such paths. In this talk, we provide a brief overview of these results and their applications. We will then discuss recent work on extending this framework to characterizing random and possibly nonsmooth surfaces using surface holonomy. This is based on joint work with Harald Oberhauser.The classical grim reaper curves are known in differential geometry as the only translating solitons of the mean curvature flow in the plane but have also recently been discovered to be critical points of an entropy-like energy functional, thus garnering attention for their unexpected connections to thermodynamics, information theory and Hamilton-type entropy. We use a variational approach to studying the critical points of this entropy energy-like functional in all Riemannian and pseudo-Riemannian 2-space forms using the concept of p-elasticae, the first variation formula and properties of the Riemann curvature tensor. We show that there are periodic solutions of the Euler-Lagrange equations associated with this functional in certain ambient spaces and obtain closed periodic solutions where they may exist.
Abstract. Had Sir Isaac Newton possessed access to an NVIDIA GPU, he would not have wasted his time creating calculus. The realm of continuum mathematics presents formidable challenges to undergraduate students, whereas discrete mathematics offers a notably more intuitive approach that doesn't demand years of advanced study to comprehend. It is imperative that we equip our students with the tools necessary for conducting research at the outset of their academic journeys. Such an approach ignites their enthusiasm to tackle more demanding coursework and to direct their ambitions toward attacking the world's most challenging problems. Delaying their engagement with open problems until their graduate studies is a missed opportunity. Here we show how to integrate n-body techniques with NVIDIA GPUs to confront this very challenge.
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room MATH 011 (basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 944 4492 2197
* Passcode: applied
 | Thursday
Apr. 25
6:30 PM
MA 108
|
| Mathematics Education
Math Circle
Aaron Tyrrell
Department of Mathematics and Statistics, Texas Tech University
|
Math Circle spring poster
abstract noon CDT (UT-5)
