Difference between revisions of "Topological Methods in Data Analysis - Journal Club (Summer 2020)"

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(Created page with "Topological Data Analysis (TDA) is a recent development in mathematics and data analysis that actually offers real world applications. The basic idea is using a homology theor...")
 
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Topological Data Analysis (TDA) is a recent development in mathematics and data analysis that actually offers real world applications. The basic idea is using a homology theory - called persistent homology - to unveil and identify structures in data via a notion of its topology. However, interpreting these structures is by no means an easy task, and depends on the specific details of the underlying system.
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In recent years there has been a somewhat surprising flow of ideas from the mathematical branch of topology towards applications in the natural sciences. The tale of Topological Data Analysis (TDA) has it, that these methods provide a highly flexible, nonparametric approach to data analysis. Indeed, there are by now several well-known mathematical results that make statements of this kind rigorous. However, successful examples of TDA often build on a deep intuition about the system in question and many aspects of topological methods in data analysis remain a field of active research. The goal of this seminar is to offer a platform where we can learn about the TDA toolkit, discuss articles and new developments, and exchange ideas for the analysis of concrete datasets.
 
 
In this Journal Club we will take a detailed look at foundational articles, specific applications and recent developments in the field, providing a link between the mathematical theory and scientific studies.
 
  
 
In case of questions, do not hesitate to contact us, the organizers of this Journal Club, via mail at [mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de].
 
In case of questions, do not hesitate to contact us, the organizers of this Journal Club, via mail at [mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de].
  
 
==Coordinates and Organization ==
 
==Coordinates and Organization ==
'''Time:''' Wednesdays, from 9.15 am to 10.45 am.
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'''Time:''' Tuesdays, from 16pm to 18pm.
 
 
'''Location:''' Mathematikon, Seminar Room 9.
 
  
'''Proceeding:''' Each week, a presenter discusses on the basis of the named paper(s) the given topic, taking into account further references whenever necessary. The presenter may set a focus following his or her individual interests.
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'''Location:''' https://heiconf.uni-heidelberg.de/ble-q9j-7k9
  
 
'''Organizers:''' Michael Bleher, Daniel Spitz. Mail: [mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de].
 
'''Organizers:''' Michael Bleher, Daniel Spitz. Mail: [mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de].
 
Please consider [https://muesli.mathi.uni-heidelberg.de registering on Müsli] to join our mailing list.
 
  
 
== Schedule ==
 
== Schedule ==
 
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!Date
 
!Date
 
!Topic
 
!Topic
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|Introduction and Organization
 
|Introduction and Organization
 
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|Daniel Spitz, Maximilian Schmahl & Michael Bleher
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|Maximilian Schmahl
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== References ==
 
== References ==
 
<references />
 
<references />

Revision as of 15:56, 17 April 2020

In recent years there has been a somewhat surprising flow of ideas from the mathematical branch of topology towards applications in the natural sciences. The tale of Topological Data Analysis (TDA) has it, that these methods provide a highly flexible, nonparametric approach to data analysis. Indeed, there are by now several well-known mathematical results that make statements of this kind rigorous. However, successful examples of TDA often build on a deep intuition about the system in question and many aspects of topological methods in data analysis remain a field of active research. The goal of this seminar is to offer a platform where we can learn about the TDA toolkit, discuss articles and new developments, and exchange ideas for the analysis of concrete datasets.

In case of questions, do not hesitate to contact us, the organizers of this Journal Club, via mail at structures-hiwi@mathi.uni-heidelberg.de.

Coordinates and Organization

Time: Tuesdays, from 16pm to 18pm.

Location: https://heiconf.uni-heidelberg.de/ble-q9j-7k9

Organizers: Michael Bleher, Daniel Spitz. Mail: structures-hiwi@mathi.uni-heidelberg.de.

Schedule

Date Topic Info Speaker Slides
21.04. Test-run This meeting will be dedicated to testing the technical setup with heiCONF and to discuss ideas for giving

talks from home. Feel free to join us, we would also be happy to use the opportunity and collect input from you!

Daniel Spitz, Maximilian Schmahl & Michael Bleher
28.04. Introduction and Organization Maximilian Schmahl

References