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 3209. 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

Filter functions, Zig-zag and landscapes

We will be reading Chapters 3.10 - 3.12 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Filter functions, Zig-zag and landscapes

We will be reading Chapters 3.10 - 3.12 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Shape recognition with tangent complexes (cont...)

We will be reading Chapters 3.8 - 3.9 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Shape recognition with tangent complexes

We will be reading Chapters 3.8 - 3.9 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Algebra of Persistence and Cohomology (cont...)

We will be reading Chapters 3.5 - 3.7 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Algebra of Persistence and Cohomology

We will be reading Chapters 3.5 - 3.7 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Multiparameter Persistence and Nonlinear Hierarchical Clustering

Abstract: I will define a class of metrics on multiparameter persistence modules facilitated by the introduction of persistence contours. Using these, we can compute the feature counting invariant, which could previously not be computed, and show that it's in general NP-hard to compute. Moreover, they can be used to put persistence modules in a machine learning context by providing a class of metrics that can be optimized over. This could for instance be used to solve classification problems in a metric learning sense, called contour learning. We then learn a one-parameter curve through the persistence module, yielding a nonlinear hierarchical clustering.


Persistent homology (cont...)

We will be reading Chapters 3.1 - 3.4 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Persistent homology

We will be reading Chapters 3.1 - 3.4 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Simplicial complexes, homology and functoriality (cont...)

We will be reading Chapter 2.5 and 2.6 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Simplicial complexes, homology and functoriality

We will be reading Chapter 2.5 and 2.6 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Topology, continuity and homotopy (cont...)

We will be reading Chapter 2.3 and 2.4 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Topology, continuity and homotopy

We will be reading Chapter 2.3 and 2.4 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Equivalence relations, homotopy and tangent complexes

We will be reading Chapter 2.2 in the TDA Book.

Email mvejdemojohansson@gc.cuny.edu if you want access to the book.


Semester start meeting

It is time to kick off the Data Science and Applied Topology seminar for the fall. This semester we will be reading the Topological Data Analysis textbook manuscript by Gunnar Carlsson, Mikael Vejdemo-Johansson and Andrew Blumberg, as well as host research talks within the topic of the seminar.

If you need a copy of the textbook, please contact Mikael Vejdemo-Johansson for details. If you wish to give a talk, please contact any one of the organizers.


Pages

  • Data Science and Applied Topology Seminar
  • Reading list