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SF2956 Topological Data Analysis 7.5 credits

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Choose semester and course offering to see information from the correct course syllabus and course offering.

Headings with content from the Course syllabus SF2956 (Autumn 2020–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The course contains the following topics:

  • Kleinberg theorem about impossibility of clustering,
  • metric spaces and dendrograms,
  • classical hierarchical clustering schemes (single, complete, average, and Haussdorff linkage),
  • elements of simplicial complexes,
  • transforming data into simplicial complexes via Chech and Vietoris-Rips constructions
  • extracting homology out of data based simplicial complexes
  • persistence modules, barcoding, and feature visualization

Intended learning outcomes

After completing the course, the student shall be able to

  • use concepts, propositions and methods to solve, and present the solution of problems within topological data analysis;
  • use available software to analyze geometric data.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

  • Completed basic course in numerical analysis (SF1544, SF1545 or equivalent)
  • Completed basic course in probability theory and statistics (SF1922, SF1914 or equivalent)

Recommended prerequisites

Completed courses corresponding to SF2935 Modern methods of statistical learning and SF2940 Probability theory.

Equipment

No information inserted

Literature

Various books and lecture notes presented on the course web page.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • PRO1 - Project, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Profile picture Wojciech Chachólski

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2956

Offered by

SCI/Mathematics

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

No information inserted

Contact

Wojtek Chacholski (wojtek@kth.se)