Projects in Topological Data Analysis Fall 2023

Erin Chambers,	Saint Louis University,	firstname.lastname@slu.edu
Tao Hou,	DePaul University	thou1 "at" depaul.edu
Tim Ophelders,	TU Eindhoven,	t.a.e.lastname@uu.nl
Patrick Schnider,	ETH Zürich,	firstname.lastname@inf.ethz.ch

General Information

The main idea of the course is that students from different universities collaborate on projects in topological data analysis. These projects can be of theoretical nature, e.g., the development or analysis of some algorithm or applied, e.g., using topological data analysis on concrete data sets.

The course will start with three lectures introducing some topics that are relevant to the proposed projects. Then, there is an official kick-off meeting, in which the problems will be introduced. The assignment of the groups will be made in the days after the kick-off meeting, so that the groups can start working on their projects as soon as possible. For the main part of the course, the groups work on their project individually, guided by the two mentors they are assigned. Once during the course, each group will also present their progress to the other mentors, collecting some more feedback from different people. And the end of the course, each group hands in a written report where they summarize their work and present their findings.

Dates

All meetings will be held via zoom at 16:15 (Zürich/Eindhoven) and 9:15am (St. Louis/Chicago), respectively and should take at most 90 minutes.

• August 29, 2023: Lecture by Erin Chambers on directional transforms.
• September 5, 2023: Lecture by Tao Hou on software packages.
• September 12, 2023: Lecture by Patrick Schnider on sequences in topology.
• September 19, 2023: Kick-off meeting.
• December 12, 2023: Final presentations.

Projects

The proposed projects can be found in this booklet. The booklet also contains information about the final reports and presentations.

Resources

General

• Computational Topology: An Introduction, a classical book by Herbert Edelsbrunner and John Harer.
• Topological Data Analysis with Applications by Gunnar Carlsson and Mikael Vejdemo-Johansson.
• Computational Topology for Data Analysis by Tamal Dey and Yusu Wang.
• Algebraic Topology, a standard textbook on algebraic topology by Allen Hatcher.
• Introduction to Topological Data Analysis, lecture notes of last semesters course at ETH.

Paper databases

• DONUT, Database for applications of topology.

Software packages

• Cat-list, Overview of many software packages.

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Last modified: Mon Jul 31 15:08:16 CET 2023 by Patrick Schnider.

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