Geometry and Statistics in Data Sciences, Paris

IHP
Amphitheater Darboux
11, Rue Pierre et Marie Curie
75005 Paris

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Geometry and Statistics in Data Sciences

Thematic quarter program at Institut Henri Poincaré, Paris

September 5th - December 9th, 2022

Outline

The goal of this Thematic quarter is to highlight the rich interactions between Statistics, Probability theory, Geometry and Topology in the field of Mathematics of AI. It will allow young researchers, Masters students and PhD students to explore cross-disciplinary topics.

Program

Introductory School at IESC Cargèse (Corsica): 5th - 9th September
Three Workshops:
- Non-Linear and High Dimensional Inference: 3rd - 7th October
- Geometry, Topology and Statistics in Data Sciences: 10th - 14th October
- Measure-theoretic Approaches and Optimal Transportation in Statistics: 21th - 25th November
Geomstats Hackathon: 17-21 October
Maths-Industry Event with AMIES: 8th November
Afternoon for high school students in December
Four lectures and six mini-courses

Long Courses

Wednesdays 14:00 - 18:00 | Starting September 28th
- Quentin Mérigot (LMO, Orsay)
  - Optimal Transport
- Ery Arias-Castro (UC San Diego) and Eddie Aamari (U Paris Cité & Sorbonne U)
  - Embedding for Data Analysis : Multidimensional Scaling and Manifold Learning
Thursdays 9:00 - 13:00 | Starting September 15th
- Eric Klassen (Florida State)
  - Geometry of Shape Spaces of Curves and Surfaces
- Wolfgang Polonik (UC Davis)
  - Statistical Topological Data Analysis

Mini-Courses

September, Wednesday 21st AM & PM
- Joseph Yukich (Lehigh University)
  - Asymptotic Analysis of Statistics of Random Geometric Structures
September, Tuesday 27th PM & Wednesday 28th AM
- Nicolas Charon (John Hopkins)
  - A Few Applications of Geometric Measure Theory to Shape Analysis
October, Tuesday 18th PM & Wednesday 19th AM
- Mikhail Belkin (UC San Diego)
  - Mathematical Aspects of Deep Learning
- Yusu Wang (UC San Diego)
  - Some Theoretical Aspects of Graph Neural Networks (and Higher Order Variants)
November, Tuesday 15th PM & Wednesday 16th AM
- Kathryn Hess (EPFL)
  - Topological Approaches to Neuroscience
November, Tuesday 29th PM & Wednesday 30th AM
- Stephen Preston (Brooklyn College)
  - Riemannian Geometry on Lie Groups

Invited Professors

Ery Arias-Castro (UC San Diego)
Martin Bauer (Florida State)
Mikhail Belkin (UC San Diego)
Kathryn Hess (EPFL)
Eric Klassen (Florida State)
Quentin Mérigot (LMO, Orsay)
Nina Miolane (UC Santa Barbara)
Wolfgang Polonik (UC Davis)
Stephen Preston (Brooklyn College)
Joseph Yukich (Lehigh University)
Yusu Wang (UC San Diego)

Registration:

Registration for the quarter (at the bottom of this page) will allow you to be informed of the holding of the various events during the semester, in particular for the courses (schedules, zoom links, etc.). For logistic reasons, registration for the quarter does not give you an automatic registration for the workshops, so please also register for each workshop you wish to attend.

Scientific Committee