Topology for Data Science

Various tutorials on important techniques in topological data analysis. Tutorials made with the final goal in mind to use the R package TDA in order to actually implement each technique.

Jul 22, 2019

Rips Filtration Tutorial for the R-TDA Package

Introduction Suppose we are given a finite set, , of points in . The set of points is topologically uninteresting. How can we fix this? Yes, you guessed it: we...

Apr 22, 2019

Persistent Homology and Persistence Diagrams

Introduction to Persistent Homology Objectives Understand and be able to define persistent homology Conceptualize the importance of persistent homology in TDA Be able to construct and read a persistence diagram...

Apr 15, 2019

Rips Filtration

Tutorial on Rips Filtrations Objectives Gain familiarity with simplices and simplicial complexes Be able to conceptualize a rips filtration, and understand what a rips filtration tells us about a set...

Apr 15, 2019

Kernel Density Estimation

Tutorial on Kernel Density Estimation Objectives We want to be able to understand the questions: What is a kernel? Not that of your pre popped corn, nor a high ranking...

This project is maintained by benholmgren