“CIMPA Course”
Topology and Big Data Analysis
Michel Jambu
Professeur Emeritus at University of Côte d’Azur, Nice, France
Georges Oppenheim
Professeur Emeritus at University of Paris-Sud 11, Paris, France
Badih Ghattas
Professeur at University of Aix-Marseille, Marseille, France.
On 11 – 16 September 2023 at College of Science; SUE- Erbil, Kurdistan Region- Iraq
Coordinator
Karzan Ahmed Berdawood, Department of Mathematics, College of Sciences, Salahaddin University.
Herish Omer, Department of Mathematics, College of Sciences, Salahaddin University.
Khwazbeen Saida Fatah: Department of Mathematics, College of Sciences, Salahaddin University.
Sponsors: CIMPA, Salahaddin University
Date: From 11 to 16 September 2023
Time: From 9:00AM-04:30 PM
Location: College of Sciences- University of Salahaddin-Erbil
Topology and Big Data Analysis
Michel Jambu
Professor Emeritus University of Côte d’Azur, Nice, France Michel.JAMBU@univ-cotedazur.fr
Georges Oppenheim
Professeur Chez at University of Paris-Sud 11, Paris, France georges.oppenheim@gmail.com
Badih Ghattas
Professeur at University of Aix-Marseille, Marseille, France badih.ghattas@univ-amu.fr
Introduction
Topological data analysis (TDA) is at the crossroad of data analysis, algebraic topology, computational geometry, computer science, statistics, and other related areas.
TDA studies qualitative features of data using results from geometry and topology. To achieve this goal, the qualitative features need precise definitions, tools to compute them in practice, and some guarantee about their robustness.
Due to the dramatically increase of the amount of data, the situation requires more efficient data-processing methods.
A method in TDA that fulfils these conditions is called persistent homology.
Detail and Content of the Course:
In the morning at 9 am – 12 pm, the speakers give the fundamental notions and in the afternoon at 1:30 pm to 4:30 pm, there will be a practical part and applications work on machine (computer).
The fundamental part is as follows:
1. Simplicial complexes
2. Simplicial homology
3. Persistent homology
4. Mapper Algorithm
5. Natural images and Klein bottle.
Professor Michel Jambu will teach the fundamental part, Professor Georges Oppenheim and professor Badih Ghattas the practical part and applications.
For more information about the CIMPA activities, please visit:
https://www.cimpa.info/en/activities/future
Fill following form for registration.