Introduction to Persistent Homology

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  • เผยแพร่เมื่อ 29 พ.ย. 2024

ความคิดเห็น • 61

  • @diegosierracosta3545
    @diegosierracosta3545 5 ปีที่แล้ว +20

    This is what teaching is about, it's incredible how you explained such a complex concept in a very understandable way. Thank you!

  • @foo_tube
    @foo_tube ปีที่แล้ว +4

    Please do more videos! You are good at this. I have no significant math background, but I understood all of this! We need more teachers like you who can reach us normies with advanced mathematics!

  • @robertschlesinger1342
    @robertschlesinger1342 4 ปีที่แล้ว +5

    Excellent introductory video on persistent homology. Many thanks for the links to the relevant papers.

  • @14loosecannon
    @14loosecannon 4 ปีที่แล้ว +1

    Just attended a lecture from Gunnar Carlsson on TDA which went way over my head. This video has cleared some things up!

  • @holographictheory1501
    @holographictheory1501 2 ปีที่แล้ว +1

    Would absolutely love more videos! This was, hands down, the best video on TDA/persistent homology that I've ever seen

  • @resocios
    @resocios 8 ปีที่แล้ว +21

    Thank you so much for this clear and motivating introduction to the topic!

  • @onzie9
    @onzie9 4 ปีที่แล้ว

    It's been several years since I left academia and simplicial complexes behind, but TDA looks really interesting, and I'm so glad I watched this straight forward and informative video.

  • @srinovita5995
    @srinovita5995 2 ปีที่แล้ว

    This video is great! I'm currently doing my master thesis on persistent homology and your videos help me a lot to understand it! Thank you!

  • @madtrade
    @madtrade 7 ปีที่แล้ว +7

    i cant find a better intro
    bravo!

  • @Lestca1
    @Lestca1 8 ปีที่แล้ว +18

    Excellent explanations. Thank you!

  • @mambu6
    @mambu6 7 ปีที่แล้ว +7

    wow as a math undergrad taking only pure subjects this sounds really cool

  • @sungryonghong9012
    @sungryonghong9012 5 ปีที่แล้ว

    The best explanation about PH ever

  • @vamanieperumal5262
    @vamanieperumal5262 2 ปีที่แล้ว

    Excellent delivery of concepts! Thanks a lot!

  • @abolfazltaghribi1681
    @abolfazltaghribi1681 5 ปีที่แล้ว

    This video is abstract and soooooooo clear about the notions. Thank you!

  • @syifahah
    @syifahah 2 ปีที่แล้ว

    Oh my my so clearly explained! Short and robust! Thank you so much :D

  • @jinyunghong
    @jinyunghong 3 ปีที่แล้ว

    Thank you so much for your great introductory video!

  • @AjayTalati
    @AjayTalati 7 ปีที่แล้ว +3

    Thank you for the very clear explanations - I think you're a really good teacher :)

  • @aoweishen3496
    @aoweishen3496 5 ปีที่แล้ว +2

    Praise for this really nice and clear video.
    However, could you keep on making more videos, especially on the advances of this area? I am on the verge of choosing a topic in statistics, and some great professor said this is the future, but I don't know whether I can handle these stuff.

  • @zoeyyao7155
    @zoeyyao7155 6 หลายเดือนก่อน

    Your teaching is amazing

  • @meet5945
    @meet5945 6 ปีที่แล้ว +3

    Nice intro to a non topologist! Thanks! Although, can you please explain persistent homology and barcodes from the point of functional brain connectivity ?

  • @hangyin2263
    @hangyin2263 8 ปีที่แล้ว +1

    Simple and easy to understanding! Thank you!!!

  • @Jinsun202
    @Jinsun202 3 ปีที่แล้ว

    Fantastic explanation, thank you. Top notch.

  • @CRIGroupRobotics
    @CRIGroupRobotics 9 ปีที่แล้ว +3

    Thanks for the great introduction!

  • @fernandojackson7207
    @fernandojackson7207 6 ปีที่แล้ว +1

    Nice presentation , Matt. To be clear , the persistent traits are those corresponding to the non-torsion part that remain through higher values of d?

  • @Gri3v3r666
    @Gri3v3r666 2 ปีที่แล้ว

    Excellent teaching, thank you!

  • @SM-vl7rv
    @SM-vl7rv ปีที่แล้ว

    very beautiful explanation.

  • @davidwaller8516
    @davidwaller8516 9 ปีที่แล้ว +8

    Thanks for the introduction. That's very interesting!

  • @jerryzhang5013
    @jerryzhang5013 4 ปีที่แล้ว

    Very understandable short video course.

  • @justwest
    @justwest 5 ปีที่แล้ว

    Awesome introduction to the topic.

  • @brindians
    @brindians 5 ปีที่แล้ว

    Great Explanation!! Clear and concise.

  • @ИванИваныч-б3и
    @ИванИваныч-б3и 3 ปีที่แล้ว

    very interesting and very well explained

  • @marwanjameel694
    @marwanjameel694 4 ปีที่แล้ว

    Excellent explanations. Thank you

  • @marwanjameel694
    @marwanjameel694 4 ปีที่แล้ว

    Thank you very much for good information's and fascinating explanation.

  • @reji6414
    @reji6414 3 ปีที่แล้ว

    Excellent explanation

  • @michalforyt2420
    @michalforyt2420 5 ปีที่แล้ว

    Thank you! You helped me a lot with my master thesis!

    • @marwanjameel694
      @marwanjameel694 4 ปีที่แล้ว

      hello dear
      can i take a copy from your thesis. of course if do not mind and if your complete your studies. thank your very much in advance

    • @marwanjameel694
      @marwanjameel694 4 ปีที่แล้ว

      marwan.jameel@uomosul.edu.iq

  • @josephkomolgorov651
    @josephkomolgorov651 7 ปีที่แล้ว

    Great Intro to P.H!

  • @joaovaleriodesouzaneto8038
    @joaovaleriodesouzaneto8038 11 หลายเดือนก่อน

    excellent video! Tanks.

  • @vangelisrocks
    @vangelisrocks 5 ปีที่แล้ว

    Amazing video. Thank you.

  • @yanbingyang1995
    @yanbingyang1995 7 ปีที่แล้ว

    Thank you so much! thats very helpful! What kind of software did you use to generate the barcode though?

    • @mlwright
      @mlwright  7 ปีที่แล้ว

      Probably the easiest software to use to produce persistence barcodes is Ripser, github.com/Ripser/ripser. There is also a version of Ripser that runs in your browser at live.ripser.org/ .

  • @1992sms
    @1992sms 7 ปีที่แล้ว

    Thank you for the introduction, but what kind of software did you use to show the evolution of the simplicial complex?

  • @ismailelabbassi7150
    @ismailelabbassi7150 ปีที่แล้ว

    Thanks for the video. Please i wanna application on real world data like breast cancer, finances .. usinf python can u provide me some ressources. Tank u in advance

  • @goldenshale
    @goldenshale 4 ปีที่แล้ว

    Thanks, this was really helpful

  • @peter308
    @peter308 5 ปีที่แล้ว

    Hi Matthew, I am an academic researcher, wonder can I have a copy of this slide for academic purposes? Thanks!

  • @LC-kp2di
    @LC-kp2di 3 ปีที่แล้ว

    This is amazing!

  • @raquelserna4742
    @raquelserna4742 ปีที่แล้ว

    thank you very much!

  • @王兆伟-f7q
    @王兆伟-f7q 5 ปีที่แล้ว

    So clear!! Thank you!

  • @adiesha_
    @adiesha_ 5 ปีที่แล้ว

    excellent video

  • @milandoshi7640
    @milandoshi7640 3 ปีที่แล้ว

    is there a method to compare two persistance barcodes ?

    • @mlwright
      @mlwright  3 ปีที่แล้ว +2

      Yes, there are various distances on persistence barcodes. Probably the most common is the bottleneck distance.

    • @milandoshi7640
      @milandoshi7640 3 ปีที่แล้ว

      @@mlwright Thanks a lot for the quick reply.

  • @edgetrading2
    @edgetrading2 7 ปีที่แล้ว

    i like your animations

  • @milandoshi7640
    @milandoshi7640 3 ปีที่แล้ว

    what software you used to make the animation ?

    • @mlwright
      @mlwright  3 ปีที่แล้ว +1

      PowerPoint and screen-capture software

    • @milandoshi7640
      @milandoshi7640 3 ปีที่แล้ว

      @@mlwright May be I should have asked what software you used to systematically change ball size, view and draw persistance barcodes ?. Thanks.

    • @mlwright
      @mlwright  3 ปีที่แล้ว +1

      @@milandoshi7640 All of that was done with the "Animation Pane" in PowerPoint.

  • @eddiemorrone870
    @eddiemorrone870 2 ปีที่แล้ว

    We went to Messiah College together and lived on the same floor.

    • @mlwright
      @mlwright  2 ปีที่แล้ว

      You're right, Eddie! Thanks for saying hi!

  • @ninepoints5932
    @ninepoints5932 6 ปีที่แล้ว

    Awesome