The CUNY Data Science and Applied Topology Reading Group is joint between the Mathematics and Computer Science programmes. We meet Fridays 11.45 -- 12.45 in GC 4419. You can contact us at cunygc@appliedtopology.nyc.

Our plan is to primarily read and discuss seminal papers in data science, in applied topology and in topological data analysis. Each seminar one participant takes the responsibility to present a paper and prepare items for discussion. We expect occasionally to be able to invite external speakers.

## Schedule

Current schedule can be found here.

We will be sending out announcements through a mailing list; you can subscribe here.

## Organizers

- Mikael Vejdemo-Johansson, Computer Science Programme, CUNY Graduate Center; Department of Mathematics, CUNY College of Staten Island
- Azita Mayeli, Mathematics Programme, CUNY Graduate Center; Department of Mathematics, CUNY Queensborough Community College

## Suggested papers

We have compiled a list of papers that might be interesting to present.

# Schedule

### Iterated Integrals and Paths of Persistence Diagrams

Path signatures are a reparametrization-invariant characterization of paths, which are defined via iterated integrals. More generally, path signatures form the 0-cochains of Kuo-Tsai Chen's iterated integral cochain model of path spaces. By considering multivariate time series as a path through Euclidean space, we can leverage the path signatures as a reparametrization-invariant feature set for time series. In this talk, we will introduce the path signature, consider its application to studying paths of persistence diagrams (persistence vineyards), and briefly discuss how Chen's perspective can lead to generalizations.