Topološka analiza podatkov

Section outline

• Izberi poglavje General course info

  General course info

  Skrči vse Razširi vse

  Lecturer: 

  • Žiga Virk (ziga.virk@fri.uni-lj.si)

  Assistants:

  • Aleksandra Franc (aleksandra.franc@fri.uni-lj.si)
  • Damir Franetič (damir.franetic@fri.uni-lj.si)

  • Izberi aktivnost News

    

    News Forum
  • Izberi aktivnost Questions, answers and discussions

    

    Questions, answers and discussions Forum
  • Izberi aktivnost Course description - Opis predmeta

    

    Course description - Opis predmeta Stran
  • Izberi aktivnost Student requirements - Obveznosti študentov

    

    Student requirements - Obveznosti študentov Stran
  • Izberi aktivnost Lab work - Delo na vajah

    

    Lab work - Delo na vajah Stran
  • Izberi aktivnost Literature and other sources

    

    Literature and other sources Stran
  • Izberi aktivnost Julia, VS Code & Jupyter

    

    Julia, VS Code & Jupyter Stran
  • Izberi aktivnost Julia Cheatsheet

    

    Julia Cheatsheet URL
  • Izberi aktivnost Example of a good project report

    

    Example of a good project report Datoteka
  • Izberi aktivnost Example 2 of a good project report

    

    Example 2 of a good project report Datoteka

    Uploaded 31/05/17, 14:04
  • Izberi aktivnost A topologist is a person, who doesn't know a donut...

    
    

    A topologist is a person, who doesn't know a donut from a coffee cup

    
    

    
    

  • Izberi aktivnost Homework

    Homework

  • Izberi aktivnost HW1 Dropbox

    

    HW1 Dropbox Naloga
  • Izberi aktivnost HW2 Dropbox

    

    HW2 Dropbox Naloga
  • Izberi aktivnost HW3 Dropbox

    

    HW3 Dropbox Naloga
  • Izberi aktivnost Group Project

    Group Project

  • Izberi aktivnost Group Project Dropbox

    

    Group Project Dropbox Naloga
  • Izberi aktivnost Project assignment documentation

    

    Project assignment documentation Stran
• Izberi poglavje 30. september - 6. oktober

  30. september - 6. oktober

  Introduction. Basic definitions and concepts: metrics, continuous maps, homeomorphisms, homotopy type. 

  Textbook: Chapter 1

  • Izberi aktivnost Notes, lecture 1

    

    Notes, lecture 1 Datoteka

    Uploaded 6/10/20, 18:47
  • Izberi aktivnost There is no difference between a donut and a coffee cup ...

    

    There is no difference between a donut and a coffee cup ... URL
  • Izberi aktivnost Topology and topological data analysis (from AYASDI)

    

    Topology and topological data analysis (from AYASDI) URL
  • Izberi aktivnost The intuition behind topology

    

    The intuition behind topology Stran
• Izberi poglavje 7. oktober - 13. oktober

  7. oktober - 13. oktober

  Triangulations in the plane, Voronoi diagram, Delaunay triangulation.
  

  Textbook: Chapter 2
  

  • Izberi aktivnost Notes, lecture 2

    

    Notes, lecture 2 Datoteka

    Uploaded 14/10/20, 09:43
  • Izberi aktivnost Lab work, 2nd week

    

    Lab work, 2nd week Datoteka

    Uploaded 4/10/24, 19:37
• Izberi poglavje 14. oktober - 20. oktober

  14. oktober - 20. oktober

  Geometric simplicial complexes, Abstract simplicial complexes, Euler characteristic

  Textbook: Chapter 3
  

  • Izberi aktivnost Notes, lecture 3

    

    Notes, lecture 3 Datoteka

    Uploaded 20/10/20, 15:04
  • Izberi aktivnost Lab work #3

    

    Lab work #3 Datoteka

    Uploaded 13/10/24, 11:03
  • Izberi aktivnost Cool links (Klein Bottle)

    

    Cool links (Klein Bottle) URL
  • Izberi aktivnost Cool links (Voronoi diagrams)

    

    Cool links (Voronoi diagrams) Stran
  • Izberi aktivnost Cool links (Homotopy)

    

    Cool links (Homotopy) URL
  • Izberi aktivnost Cool links (Simplices)

    

    Cool links (Simplices) URL
  • Izberi aktivnost Cool links (The Sound of the Moebius Strip)

    

    Cool links (The Sound of the Moebius Strip) URL
• Izberi poglavje 21. oktober - 27. oktober

  21. oktober - 27. oktober

  Triangulated manifolds, orientation. Classification of surfaces.
  
  Textbook: Chapter 4
  

  • Izberi aktivnost Notes, lecture 4

    

    Notes, lecture 4 Datoteka

    Uploaded 27/10/20, 15:41
  • Izberi aktivnost Lab work #4

    

    Lab work #4 Datoteka
  • Izberi aktivnost Lab work #4 Jupyter Notebook

    

    Lab work #4 Jupyter Notebook Datoteka
  • Izberi aktivnost line_sweep.jl (Julia file)

    

    line_sweep.jl (Julia file) Datoteka
  • Izberi aktivnost line_sweep.ipnyb (Jupyter Notebook, improvements and alternative approaches)

    

    line_sweep.ipnyb (Jupyter Notebook, improvements and alternative approaches) Datoteka
  • Izberi aktivnost HTML of the above

    

    HTML of the above Datoteka
• Izberi poglavje 28. oktober - 3. november

  28. oktober - 3. november

  Carve a pumpkin
  
• Izberi poglavje 4. november - 10. november

  4. november - 10. november

  Simplicial complexes on data sets:
  

  • Vietoris Rips complex
  • Cech complex
  • The nerve construction
  • Mapper

  Interleaving.

  Textbook: Chapter 5
  

  • Izberi aktivnost Notes, lecture 5

    

    Notes, lecture 5 Datoteka

    Uploaded 3/11/20, 16:41
  • Izberi aktivnost Lab work #5 (Jupyter Notebook, to be opened locally)

    

    Lab work #5 (Jupyter Notebook, to be opened locally) Datoteka

    Uploaded 7/11/24, 17:26
  • Izberi aktivnost basic_scx.jl (basic constructions with abstract simplicial complexes, a Julia file)

    

    basic_scx.jl (basic constructions with abstract simplicial complexes, a Julia file) Datoteka

    Uploaded 18/11/24, 18:09
• Izberi poglavje 11. november - 17. november

  11. november - 17. november

  Algebraic groups. Intuition and idea of homology.
  

  Textbook: Chapter 6, idea of chapter 7
  

  
  

  • Izberi aktivnost Notes, Lecture 6

    

    Notes, Lecture 6 Datoteka

    Uploaded 10/11/20, 15:17
  • Izberi aktivnost Voronoi game

    

    Voronoi game URL
  • Izberi aktivnost Lab work, 6th week

    

    Lab work, 6th week Datoteka

    Uploaded 11/11/24, 18:11
  • Izberi aktivnost Geogebra

    

    Geogebra URL
• Izberi poglavje 18. november - 24. november

  18. november - 24. november

  Homology groups

  Textbook: Chapters 7 and 8.1
  

  • Izberi aktivnost Notes, Lecture 7

    

    Notes, Lecture 7 Datoteka

    Uploaded 17/11/20, 15:31
  • Izberi aktivnost Lab work, 7th week

    

    Lab work, 7th week Datoteka

    Uploaded 19/11/24, 07:46
• Izberi poglavje 25. november - 1. december

  25. november - 1. december

  Computing homology

  Textbook: Chapters 7 and 8.1
  

  • Izberi aktivnost Notes, Lectures 7 & 8

    

    Notes, Lectures 7 & 8 Datoteka

    Uploaded 24/11/20, 15:14
  • Izberi aktivnost Lab work, 8th week

    

    Lab work, 8th week Datoteka

    Uploaded 25/11/24, 08:40
• Izberi poglavje 2. december - 8. december

  2. december - 8. december

  Persistent homology

  Textbook: Chapter 9

  • Izberi aktivnost Notes, lectures 9

    

    Notes, lectures 9 Datoteka

    Uploaded 7/11/23, 18:59
  • Izberi aktivnost Lab work #9 (Jupyter Notebook, to be opened locally)

    

    Lab work #9 (Jupyter Notebook, to be opened locally) Datoteka

    Uploaded 4/12/24, 20:15
  • Izberi aktivnost simplicial_homology.jl (Julia file with complete functions for the above.)

    

    simplicial_homology.jl (Julia file with complete functions for the above.) Datoteka

    Uploaded 9/12/24, 06:29
• Izberi poglavje 9. december - 15. december

  9. december - 15. december

  Filtrations, persistence modules, interleavings, Gromov-Hausdorff distance
  

  Textbook: Chapters 9 and 10
  

  • Izberi aktivnost Notes, Lectures 10-11

    

    Notes, Lectures 10-11 Datoteka

    Uploaded 7/11/23, 19:00
  • Izberi aktivnost Lab work #10

    

    Lab work #10 Datoteka

    Uploaded 10/12/24, 10:08
• Izberi poglavje 16. december - 22. december

  16. december - 22. december

  Stability theorem for persistent homology, Wasserstein distance, further developments of persistence, examples of applications

  Textbook: Chapter 10
  

  • Izberi aktivnost Lab work #11

    

    Lab work #11 Datoteka

    Spremenjeno 16/12/24, 14:14
  • Izberi aktivnost Optional lab work #11 (programming your own 'persistent homology' ...)

    

    Optional lab work #11 (programming your own 'persistent homology' ...) Datoteka

    Uploaded 16/12/24, 11:05
• Izberi poglavje 23. december - 29. december

  23. december - 29. december

  Write to Santa...

  • Izberi aktivnost Lab work #12 (Jupyter Notebook, to be opened locally)

    

    Lab work #12 (Jupyter Notebook, to be opened locally) Datoteka

    Uploaded 27/12/24, 21:42
• Izberi poglavje 30. december - 5. januar

  30. december - 5. januar
• Izberi poglavje 6. januar - 12. januar

  6. januar - 12. januar

  Discrete Morse theory: discrete Morse functions, discrete gradient vector fields; Morse chain complex and Morse homology
  
  Textbook: Chapter 11

  • Izberi aktivnost Notes Discrete Morse Theory

    

    Notes Discrete Morse Theory Datoteka

    Uploaded 7/11/23, 19:01
• Izberi poglavje 13. januar - 19. januar

  13. januar - 19. januar

  Ta teden

  Lab work, twice (discrete Morse theory - Tuesday and/or Friday, distance between persistence diagrams - Wednesday)

  • Izberi aktivnost Lab work #13

    

    Lab work #13 Datoteka

    Uploaded 13/01/25, 17:48
  • Izberi aktivnost Lab work #14

    

    Lab work #14 Datoteka

    Uploaded 13/01/25, 18:44
• Izberi poglavje 20. januar - 26. januar

  20. januar - 26. januar

  Ni na voljo