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401-3550-71L 4 Credits BSC D-MATH
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Student Seminar in Topological Data Analysis

Lecturers & Examiners: Dr. Sara Kalisnik Hintz
Number of participants limited to 12.
VVZ CR n/a

Last Updated: 2026-02-05 15:47:29

Abstract

In this seminar we will learn about the standard tools in topological data analysis. They are drawn from classical topology and focus on the shape of data in one of two ways: they either `measure’ it, that is count the occurrences of patterns within the data set; or build combinatorial representations of the data set. An example of the former is persistent homology, whereas of the latter, mapper.

Content

In this seminar we will learn about the standard tools in topological data analysis. They are drawn from classical topology and focus on the shape of data in one of two ways: they either `measure’ it, that is count the occurrences of patterns within the data set; or build combinatorial representations of the data set. An example of the former is persistent homology, whereas of the latter, mapper. We will also take a look at some applications of both.

Resources

Literature

-Topological pattern recognition for point cloud data, G. Carlsson, Acta Numerica, Volume 23 , May 2014 , pp. 289 - 368 -Computational Topology: an Introduction, H. Edelsbrunner, J. Harer, American Mathematical Soc. -H. Adams, A. Tausz, Javaplex tutorial (2018), http://appliedtopology.github.io/javaplex/ -On the local behavior of spaces of natural images, G. Carlsson, T. Ishkhanov, V. De Silva, A. Zomorodian, International journal of computer vision 76 (1), 1-12. -Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition, G. Singh, F. Memoli, G. Carlsson, Point Based Graphics 2007 -Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival, M. Nicolau, A.J. Levine, G. Carlsson, Proceedings of the National Academy of Sciences 108 (17), 7265-7270 -Zigzag persistence, G. Carlsson, V. De Silva, Foundations of computational mathematics 10 (4), 367-405

General Information

Language
English
Levels
BSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
02.08.2021
Signup End
17.09.2021
Priority: Registration for the course unit is until 29.08.2021 only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Student Seminar in Topological Data Analysis
Online seminar: This seminar will primarily take place online. Reserved rooms will remain blocked on campus for students to follow the seminar from there.
  • Tue 16:15-18:00 (HG D 3.1)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester.)