Youtor
What ispersistent homology
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=w6Jx1vFp_Gk
Goal. • Explaining basic concepts of algebraic topology in an intuitive way. • This time. • What is...persistent homology? Or: Applications 2 (topology in data analysis). • This is the last video on this playlist. Thank you for watching, and for taking this journey with me. I enjoyed it very much, and I hope you had fun as well. • Disclaimer. • Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. • Disclaimer. • These videos are concerned with algebraic topology, and not general topology. (These two are not to be confused.) I assume that you know bits and pieces about general topology, but not too much, I hope. • Slides. • http://www.dtubbenhauer.com/youtube.html • Website with exercises. • http://www.dtubbenhauer.com/lecture-a... • Introduction to topological data analysis. • https://arxiv.org/pdf/1710.04019.pdf • Persistent homology. • https://en.wikipedia.org/wiki/Persist... • https://towardsdatascience.com/persis... • https://quantdare.com/understanding-t... • Some additional gifs. • https://gjkoplik.github.io/pers-hom-e... • https://gjkoplik.github.io/pers-hom-e... • YouTube on persistent homology. • • An introduction to persistent homology • • Applied topology 8: An introduction t... • • Persistent Homology with Mathematica • The brain and • https://www.ncbi.nlm.nih.gov/pmc/arti... • Pictures used. • https://demonstrations.wolfram.com/Si... • / 1*vzamtelmafrjz4ctvaeqgg.gif • / 1*p8wft0dqqhet8xemgx • https://quantdare.com/wp-content/uplo... • https://quantdare.com/wp-content/uplo... • / 1*mcdcz2_tfvbkf3x_dp4pxa.png • / 1*joi5dtxdpnm6df5dmacr8q.png • Hatcher’s book (I sometimes steal some pictures from there). • https://pi.math.cornell.edu/~hatcher/... • Always useful. • https://en.wikipedia.org/wiki/Counter... • Mathematica. • https://demonstrations.wolfram.com/Si... • #algebraictopology • #topology • #mathematics
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