Applied Mathematics Seminar: Exploring the Unexplored Erosion Distance and Analyzing Music using TDA
- Thursday, March 8, 2018 from 3:10pm to 3:30pm
- Wilson Hall, 1-144 - view map
Applied Mathematics Seminar:
Robin Belton (Dept. Mathematical Sciences) will present
Exploring the Unexplored Erosion Distance and Analyzing Music using TDA,
two projects she is currently working on:
Exploring the Unexplored Erosion Distance:
Being able to compare Persistence Diagrams is crucial when using TDA. In this project, we study a relatively unexplored distance metric on Persistence Diagrams, the Erosion Distance, which is predicted to be more computationally efficient than other common distance metrics. We aim to understand the topological properties of the space of Persistence. Diagrams endowed with the Erosion Distance as well as an algorithm to compute the Erosion Distance with O(nlogn) complexity.
Using Persistent Homology to Analyze the Complexity of Music:
This project provides a procedure to convert a musical score to a data set that can then be analyzed using Topological Data Analysis (TDA) techniques. Once these techniques are applied, we can analyze the "complexity" of that musical piece.