Department
Mathematics and Statistics
Major
Applied Mathematics and Computer Science Dual Major
Research Advisor
Insall, Matt
Advisor's Department
Mathematics and Statistics
Funding Source
OURE
Abstract
In this paper, we will be investigating how to compute the integral distance defined by Dr. Insall and Dr. Charatonik, and we will analyze the results from this computation. We develop a way to compute the integral distance by using Monte-Carlo Integration, and we analyze the time complexity and the error that results from this method of computation. We also investigate when this distance function is a metric, and how this metric compares to some other common metrics.
Biography
Darren is a senior from Fenton, Missouri studying applied mathematics and computer science. He is currently the president of the Academic Competition Organization at Missouri S&T. He plans to attend the University of Florida after graduating for a PhD in mathematics studying algebraic topology.
Research Category
Sciences
Presentation Type
Oral Presentation
Document Type
Presentation
Presentation Date
27 Apr 2017, 10:00 am - 10:15 am
Included in
Analysis of an Integral Metric on Hyperspaces
In this paper, we will be investigating how to compute the integral distance defined by Dr. Insall and Dr. Charatonik, and we will analyze the results from this computation. We develop a way to compute the integral distance by using Monte-Carlo Integration, and we analyze the time complexity and the error that results from this method of computation. We also investigate when this distance function is a metric, and how this metric compares to some other common metrics.
