Thank you Bastian, what an amazing talk! Just a quick question (not so related to the talk though): PDs rely on the persistent homology groups definition, that in their turn are dependent on the complexes. Does it make a difference which complexes we use (e.g. Rips or Cubical) or is it just purely for making the calculations convenient?
Excellent question! There's a difference between Rips and cubical; the latter is more relevant when your data are already structured, such as is the case for images. See this recent paper for some details: arxiv.org/abs/2102.11397
Hi Prof. I’m a math student who learned a bit of algebraic topology. I like your lectures and i have an interest in machine learning too. Do you have any advice or guidance to foe me to learn more about TDA? Thanks.
@@milandoshi7640 I have not planned on doing one, but maybe I can give it a try. In the meantime, check out their website; they have quite some extensive tutorials there!
This is a brilliant series, thanks so much
Thank you Bastian, what an amazing talk!
Just a quick question (not so related to the talk though): PDs rely on the persistent homology groups definition, that in their turn are dependent on the complexes. Does it make a difference which complexes we use (e.g. Rips or Cubical) or is it just purely for making the calculations convenient?
Excellent question! There's a difference between Rips and cubical; the latter is more relevant when your data are already structured, such as is the case for images.
See this recent paper for some details: arxiv.org/abs/2102.11397
Hi Prof. I’m a math student who learned a bit of algebraic topology. I like your lectures and i have an interest in machine learning too. Do you have any advice or guidance to foe me to learn more about TDA? Thanks.
Sure, check out the book Computational Topology by Edelsbrunner. I'm also planning a list of resources on my website.
Very nice. Is there any simple software that I can use ?
Thanks! Check out giotto, a Python library: giotto-ai.github.io/gtda-docs/latest/
@@Pseudomanifold Is it possible to do a tutorial video of the software ?. Thanks
@@milandoshi7640 I have not planned on doing one, but maybe I can give it a try. In the meantime, check out their website; they have quite some extensive tutorials there!
@@Pseudomanifold Thanks for consideriing. I am going though the tutorials.