Topological data analysis

Section outline

• Select section General course info

  General course info

  Затвори ги сите Прошири ги сите

  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)

  • Select activity News

    

    News Форум
  • Select activity Questions, answers and discussions

    

    Questions, answers and discussions Форум
  • Select activity Course description - Opis predmeta

    

    Course description - Opis predmeta Page
  • Select activity Student requirements - Obveznosti študentov

    

    Student requirements - Obveznosti študentov Page
  • Select activity Lab work - Delo na vajah

    

    Lab work - Delo na vajah Page
  • Select activity Literature and other sources

    

    Literature and other sources Page
  • Select activity Julia, VS Code & Jupyter

    

    Julia, VS Code & Jupyter Page
  • Select activity Julia Cheatsheet

    

    Julia Cheatsheet URL
  • Select activity Example of a good project report

    

    Example of a good project report Датотека
  • Select activity Example 2 of a good project report

    

    Example 2 of a good project report Датотека

    Прикачено 31/05/2017 14:04
  • Select activity 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

    
    

    
    

  • Select activity Homework

    Homework

  • Select activity HW1 Dropbox

    

    HW1 Dropbox Задача
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    HW2 Dropbox Задача
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    HW3 Dropbox Задача
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    Group Project

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    Group Project Dropbox Задача
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    Project assignment documentation Page
• Select section 30 септември - 6 октомври

  30 септември - 6 октомври

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

  Textbook: Chapter 1

  • Select activity Notes, lecture 1

    

    Notes, lecture 1 Датотека

    Прикачено 6/10/2020 18:47
  • Select activity There is no difference between a donut and a coffee cup ...

    

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

    

    Topology and topological data analysis (from AYASDI) URL
  • Select activity The intuition behind topology

    

    The intuition behind topology Page
• Select section 7 октомври - 13 октомври

  7 октомври - 13 октомври

  Triangulations in the plane, Voronoi diagram, Delaunay triangulation.
  

  Textbook: Chapter 2
  

  • Select activity Notes, lecture 2

    

    Notes, lecture 2 Датотека

    Прикачено 14/10/2020 09:43
  • Select activity Lab work, 2nd week

    

    Lab work, 2nd week Датотека

    Прикачено 4/10/2024 19:37
• Select section 14 октомври - 20 октомври

  14 октомври - 20 октомври

  Geometric simplicial complexes, Abstract simplicial complexes, Euler characteristic

  Textbook: Chapter 3
  

  • Select activity Notes, lecture 3

    

    Notes, lecture 3 Датотека

    Прикачено 20/10/2020 15:04
  • Select activity Lab work #3

    

    Lab work #3 Датотека

    Прикачено 13/10/2024 11:03
  • Select activity Cool links (Klein Bottle)

    

    Cool links (Klein Bottle) URL
  • Select activity Cool links (Voronoi diagrams)

    

    Cool links (Voronoi diagrams) Page
  • Select activity Cool links (Homotopy)

    

    Cool links (Homotopy) URL
  • Select activity Cool links (Simplices)

    

    Cool links (Simplices) URL
  • Select activity Cool links (The Sound of the Moebius Strip)

    

    Cool links (The Sound of the Moebius Strip) URL
• Select section 21 октомври - 27 октомври

  21 октомври - 27 октомври

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

  • Select activity Notes, lecture 4

    

    Notes, lecture 4 Датотека

    Прикачено 27/10/2020 15:41
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    Lab work #4 Датотека
  • Select activity Lab work #4 Jupyter Notebook

    

    Lab work #4 Jupyter Notebook Датотека
  • Select activity line_sweep.jl (Julia file)

    

    line_sweep.jl (Julia file) Датотека
  • Select activity line_sweep.ipnyb (Jupyter Notebook, improvements and alternative approaches)

    

    line_sweep.ipnyb (Jupyter Notebook, improvements and alternative approaches) Датотека
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    HTML of the above Датотека
• Select section 28 октомври - 3 ноември

  28 октомври - 3 ноември

  Carve a pumpkin
  
• Select section 4 ноември - 10 ноември

  4 ноември - 10 ноември

  Simplicial complexes on data sets:
  

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

  Interleaving.

  Textbook: Chapter 5
  

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    Notes, lecture 5 Датотека

    Прикачено 3/11/2020 16:41
  • Select activity Lab work #5 (Jupyter Notebook, to be opened locally)

    

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

    Прикачено 7/11/2024 17:26
  • Select activity basic_scx.jl (basic constructions with abstract simplicial complexes, a Julia file)

    

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

    Прикачено 18/11/2024 18:09
• Select section 11 ноември - 17 ноември

  11 ноември - 17 ноември

  Algebraic groups. Intuition and idea of homology.
  

  Textbook: Chapter 6, idea of chapter 7
  

  
  

  • Select activity Notes, Lecture 6

    

    Notes, Lecture 6 Датотека

    Прикачено 10/11/2020 15:17
  • Select activity Voronoi game

    

    Voronoi game URL
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    Lab work, 6th week Датотека

    Прикачено 11/11/2024 18:11
  • Select activity Geogebra

    

    Geogebra URL
• Select section 18 ноември - 24 ноември

  18 ноември - 24 ноември

  Homology groups

  Textbook: Chapters 7 and 8.1
  

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    Notes, Lecture 7 Датотека

    Прикачено 17/11/2020 15:31
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    Lab work, 7th week Датотека

    Прикачено 19/11/2024 07:46
• Select section 25 ноември - 1 декември

  25 ноември - 1 декември

  Computing homology

  Textbook: Chapters 7 and 8.1
  

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    Notes, Lectures 7 & 8 Датотека

    Прикачено 24/11/2020 15:14
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    Lab work, 8th week Датотека

    Прикачено 25/11/2024 08:40
• Select section 2 декември - 8 декември

  2 декември - 8 декември

  Persistent homology

  Textbook: Chapter 9

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    Notes, lectures 9 Датотека

    Прикачено 7/11/2023 18:59
  • Select activity Lab work #9 (Jupyter Notebook, to be opened locally)

    

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

    Прикачено 4/12/2024 20:15
  • Select activity simplicial_homology.jl (Julia file with complete functions for the above.)

    

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

    Прикачено 9/12/2024 06:29
• Select section 9 декември - 15 декември

  9 декември - 15 декември

  Filtrations, persistence modules, interleavings, Gromov-Hausdorff distance
  

  Textbook: Chapters 9 and 10
  

  • Select activity Notes, Lectures 10-11

    

    Notes, Lectures 10-11 Датотека

    Прикачено 7/11/2023 19:00
  • Select activity Lab work #10

    

    Lab work #10 Датотека

    Прикачено 10/12/2024 10:08
• Select section 16 декември - 22 декември

  16 декември - 22 декември

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

  Textbook: Chapter 10
  

  • Select activity Lab work #11

    

    Lab work #11 Датотека

    Изменето 16/12/2024 14:14
  • Select activity Optional lab work #11 (programming your own 'persistent homology' ...)

    

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

    Прикачено 16/12/2024 11:05
• Select section 23 декември - 29 декември

  23 декември - 29 декември

  Write to Santa...

  • Select activity Lab work #12 (Jupyter Notebook, to be opened locally)

    

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

    Прикачено 27/12/2024 21:42
• Select section 30 декември - 5 јануари

  30 декември - 5 јануари
• Select section 6 јануари - 12 јануари

  6 јануари - 12 јануари

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

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    Notes Discrete Morse Theory Датотека

    Прикачено 7/11/2023 19:01
• Select section 13 јануари - 19 јануари

  13 јануари - 19 јануари

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

  • Select activity Lab work #13

    

    Lab work #13 Датотека

    Прикачено 13/01/2025 17:48
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    Lab work #14 Датотека

    Прикачено 13/01/2025 18:44
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    Lab work #14 (Jupyter Notebook, to be opened locally) Датотека

    Прикачено 15/01/2025 12:59
• Select section 20 јануари - 26 јануари

  20 јануари - 26 јануари

  Недостапно