TOULOUSE MASTER SCHOOL ON DATA SCIENCE AND GEOMETRY

 
The aim of this summer school is to provide an insightful overview of two very actual mathematical topics: Geometry and Data Science. These two themes will first be developed separately and then will merge through the study of highly efficient recent algorithm developed to handle complex data.

INSTITUTE OF MATHEMATICS PRESENTATION 

The Toulouse Mathematics Institute, CNRS Research Laboratory, federates the mathematics community of the Toulouse area. It is comprised of three main teams, the team of Statistics and Probability, the Mathematics for Industry and Physics Team and the Fundamental Mathematics Team, located at the University of Toulouse III, the Universities of Toulouse I and II, and INSA (Institut National des Sciences Appliquées).

 

SCHOOL PRESENTATION 

The aim of this summer school is to provide an insightful overview of two very actual mathematical topics: Geometry and Data Science. These two themes will first be developed separately and then will merge through the study of highly efficient recent algorithm developed to handle complex data.

 

 

1. FACILITIES 

ARRIVAL IN FRANCE
Participants will be welcomed at Toulouse Blagnac international airport on Monday 1st July 2019.
Courses will start on Tuesday 2nd July 2019.

ACCOMMODATION
The school will provide accommodation for all the participants in one of the CROUS student’s residence on the Université Paul Sabatier Campus.
Noon and afternoon meals are included in the program and will take place in the university restaurants.

TRANSPORTATION
The residence is located some meters away from the mathematical institute where the lectures are going to be held. However the school will provide a one month public transport pass that gives unlimited travel in buses, metro and tramway in Toulouse metropolitan area.

RETURN TO CHINA
The school will end on Friday 26th July 2019. The return flight to China from Toulouse Blagnac international airport will take place on Saturday 27th July 2019.

 

2. SCIENTIFIC SYLLABUS AND REQUIRED LEVEL

EXPECTED LEVEL OF PARTICIPANTS

The expected level of the participants may vary from the end of the third undergraduate year of mathematics to the end of the first master year. That is, we expect the students have followed and completed 3 to 5 years of mathematics.

LECTURES, SCHOOL DESCRIPTION

The school will count with 6 ten hours courses and 1 twenty hours course on Geometry and Statistics. The first three weeks, the students will follow one course on Geometry and one on Statistics. The last week  a 20 hours course, including student projects, is scheduled.  This last course will explore some interesting interactions between geometry and data sciences. For more details we  now list the lectures titles and contents by week :

 Please find more details on the school and the courses here

FIRST WEEK 2-5 July 2019
Geometry Lecture (10h): «An Introduction to Riemannian Geometry»
Speaker: Paulo CARRILLO ROUSE

Statistics Lecture (10h): «Probability background for statistical learning»
Speakers: Clément Pellegrini and Thierry Klein

SECOND WEEK 8-12 July 2019
Geometry Lecture (10h): «Analysis on manifolds »
Speaker: Jerome BERTRAND

Statistics Lecture (10h): «Statistical Learning»
Speakers: Jean-Michel Loubes and Laurent Risser

THIRD WEEK 15-19 July 2019
Geometry Lecture (10h) «Wasserstein geometry and Optimal transport »
Speaker : Max FATHI

Statistics Lecture (10h): «Using the geometry of the Wasserstein space   in Statistical learning»
Speaker : Thierry Klein and Alice Le Brigant

FOURTH WEEK  22-26 July 2019
Geometry and Statistics (20h): «Implementation and projects. Both in Python using the Anaconda distribution (https://www.anaconda.com
Speakers: Reda CHHAIBI and Laurent RISSER

 

3. CULTURAL SYLLABUS

Three visits will be organized  during the month:

Visit 1 : Cité de l’espace https://www.cite-espace.com/

Visit 2 : Airbus/Aéroscopia http://www.musee-aeroscopia.fr/

Visit 3 : Halle aux Machines http://www.halledelamachine.fr/

 

4. RESUME

Welcome date on  July 1st  2019.

Return to China on 27th July 2019

The total number of places is limited to 20 students.

The price does not include the trip from China to Toulouse.

Accommodation, main meals (not breakfast) and local transportation are included.

The summer school will deliver a participation diploma.

The summer school is open to BACHELOR/MASTER students.