Winter School 2017

Computational Geometry and Topology for Data Analysis

Jean-Daniel Boissonnat, Frédéric Cazals, Frédéric Chazal, Julien Tierny

January 23-27, 2017 – Inria Sophia Antipolis

 

This course is an introduction to Computational Geometry and Topology. It will introduce fundamental concepts, data structures and algorithms in this context. It can serve also as an introduction to the emerging field of Topological Data Analysis. Fundamental questions to be addressed are :

  • How can we represent complex shapes in high-dimensional spaces?
  • How can we infer properties of shapes from samples?
  • How can we handle noisy data?
  • How can we walk around the curse of dimensionality?

Supports de cours:

Geometric and Topological Inference (J-D. Boissonnat, F. Chazal, M. Yvinec)

Introduction to Topological Data Analysis (J. Tierny).

Foundations of Geometric Methods in Data Analysis (F. Cazals)

Module 1: “Algorithmic Geometry of Triangulations”

Jean-Daniel Boissonnat – Datashape, Inria Sophia Antipolis

Module 2: “An Introduction to Topological Data Analysis Through Persistent Homology”

Frédéric Chazal – Datashape, Inria Saclay

Module 3: “Topological and Geometrical Analysis of 3D Data for Scientific Visualization”

Julien Tierny – UPMC.

Module 4: “Nearest Neighbors Algorithms in Euclidean and Metric Spaces: Algorithms and Data Structures”

Frédéric Cazals – ABS, Inria Sophia Antipolis

Talks:

Karthik C. S. – Weizmann Institute of Science – “An Efficient Representation for Filtrations of Simplicial Complexes”

Clément Maria – University of Queensland – “Algorithms to Compute Persistent Homology”

Mael Rouxel-Labbé – Geometry Factory – “Anisotropic Mesh Generation”

Program:

Final_Prog

 

Registration:

Please fill in the registration form and send it by email to florence.barbara@inria.fr 

Practical informations:

Place:

Inria Sophia Antipolis
2004 Route des Lucioles
06902 Sophia Antipolis

How to reach Inria Sophia

Accommodation:

Some student rooms have been booked at CIV Valbonne for Master’s students from ENS Lyon from sunday evening till friday morning, on a first-come, first-served basis. If you want to book a room at CIV, please complete the field in the registration form.

Lunch:

Students will have the possibility to have lunch at the university canteen on presentation of their student card.

 

 

 

 

 

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