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401-3550-71L 4 Credits BSC D-MATH

Student Seminar in Topological Data Analysis

Lecturers & Examiners: Dr. Alessio Pellegrini, Ana Zegarac
Number of participants limited to 12.
VVZ CR n/a

Last Updated: 2026-02-05 16:22:16

Abstract

After a short review of algebraic topology we will study the basics of topological data analysis. This includes some coding exercises in javaplex. The second half of the seminar is concerned with applications of the methods learned in the first half.

Objective

Basics of topological data analysis and applications.

Content

After a short review of algebraic topology we will study the basics of topological data analysis. This includes some coding exercises in javaplex. The second half of the seminar is concerned with applications of the methods learned in the first half.

Resources

Literature

- "Topology and Data" Carlsson. - "Zigzag Persistence" Carlsson, De Silva. - "On the Local Behvaior of Spaces of Natural Images" Carlsson et al. - "Computational Topology" Edelsbrunner, Harer. - "Javaplex Tutorial" Adams, Tausz. - "Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival" Nicolau, Levine, Gunnar Carlsson. - "Topological Persistence in Geometry and Analysis" Polterovich, Rosen, Samvelyan, Zhang. - "Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition" Singh, Mémoli, Carlsson.

Learning Materials (Links)

General Information

Language
English
Levels
BSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
02.01.2023
Signup End
17.02.2023
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Student Seminar in Topological Data Analysis
  • Tue 16:15-18:00 (ML F 38)
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. For some seminars everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: at most 2 mathematics seminars can be chosen per semester.)