irtg

PhD-Reports sorted by

Year:

Year 2017

Year 2016 Year 2015 Year 2014

Year 2013 Year 2012 Year 2011

Year 2010 Year 2009 Year 2008

 

Project:

A1 A2 A3

A4

B1 B3 B4

B5 B6 B7

B8

C1 C3 C4

C6 C7

D2 D3 D5

D6 D7 D8

T1

Z1 Z2 Z3

Z4 MGK

 

illustration1 500px

 
Illustration 1: An example of a Vietoris-Rips filtration, a geometric object central to TDA, constructed using point data from a shallow cumulus cloud field (top row). Also shown is its corresponding barcode, one representation of the information extracted by using persistent homology (bottom). Image author: Jose L. Licon Salaiz

 

Event name: Summer School on Topological Data Analysis and Persistent Homology
Event dates: June 11th – 15th, 2018  
Event location: Levico Terme, Italy
Author name: José Luis Licón Saláiz, PhD student at University of Cologne, Mathematical Inst.
Author project: C7

This summer school was a one-week gathering of researchers and students in the area of topological data anlysis (TDA) to discuss the current state of the field. Every day consisted of two theoretical lectures and one practical session, where the theory was illustrated using software and real-world data. The lecturers were John Harer (Duke University) and Steve Oudot (INRIA Saclay), and they covered subjects ranging from algorithms for TDA, its connections to statistics and machine learning, and a category-theoretical view on persistent homology aimed at generalizing to multidimensional persistence. Attending the school was particularly beneficial because, as the field is very new and rapidly evolving, it is hard to get a good overview of all the theory and techniques involved. This is important for me because I am currently using TDA to study the spatial structure of atmospheric turbulence and the distribution of cloud fields. It was also a good opportunity to exchange ideas with other young researchers, especially Henri Riihimäki (Tampere Unviersity of Technology/KTH Stockholm), with whom I am working on the statistical representation of topological information, and Grzegorz Muszynski (Lawrence Livermore National Laboratory), who is using TDA to detect patterns in large-scale climate models.

 

For further information, please contact:


 

tn328 54d609d0981ab

Nadine Horst
(geb. Heinrichs)

IRTG Coordinator


University of Cologne
Institute for
Geophysics and Meteorology

Albertus-Magnus-Platz
D-50923 Cologne
icon phone
icon fax
  +49 (0)221 470 1629
+49 (0)221 470 5161
icon mail   irtg@tr32.de

Precipitation radar Uni Bonn

QR-Code
Das Logo der Rheinischen Friedrich-Wilhelms-Universität; Copyright: Uni Bonn  

logo uni koeln 40x40

  logo rwth aachen 40x40   logo juelich   logo geoverbund small