Spring School on Geometric Methods in Data Science

13/02/23 - 17/02/23
09:30-18:30
Braude College of Engineering, Karmiel, Israel

The school will introduce participants to a wide range of geometric methods for analyzing data. Data points often come with some notion of distance between them, or can be arranged into a graph, a simplicial complex or a hypergraph, and that allows for the application of quantitative geometric methods. Topological data analysis looks at the dependence of the Betti numbers (certain topological invariants) on a metric scale parameter. Other methods consider the statistics of graph curvatures, concepts in discrete geometry formulated in analogy to Riemannian geometry, and these deliver local invariants that are easy to compute, but indirectly encode much global information. Such discrete curvatures will constitute a particular focus of the school, but we shall also cover a range of other methods, and in particular, applications in many diverse fields, from neuroscience to image analysis or robotics

Organizers

Emil Saucan, Braude College Jürgen Jost, MPI MIS, Leipzig

Speakers

Anthea Monod, Imperial College Omer Bobrowski, Technion & Queen Mary University
Florentin Münch, MPI MIS, Leipzig Michael Farber, Queen Mary University
Emil Saucan, Braude College Matthias Keller, Postdam University
Areejit Samal, IMSc, Chennai Jürgen Jost, MPI MIS, Leipzig
Kelin Xia, Nanyang Technological University David Gu, Stony Brook University

Program

Monday, February 13, 2023

9:30-10:00 Registration and Opening

10:00-11:30 Jürgen Jost Discrete Ricci and sectional curvatures for metric spaces and networks 1

11:30-12:00 Coffee break

12:00-13:30 Jürgen Jost Discrete Ricci and sectional curvatures for metric spaces and networks 2

13:30-14:30 Lunch

14:30-16:00 Omer Bobrowski Universality in Random Persistence Diagrams

16:00-16:30 Coffee break

16:30-17:00 Yinon Nachshon & Paz Naim Ricci curvature and the stream of associations

17:00-18:30 David Gu Optimal transport for generative model

Tuesday, February 14, 2023

9:30-11:00 Michael Farber Algebraic topology and autonomous robot motion 1

11:00-11:30 Coffee break

11:30-13:00 Michael Farber Algebraic topology and autonomous robot motion 2

13:00-14:00 Lunch

14:00-19:00 Excursion and festive dinner

Wednesday, February 15, 2023

9:30-11:00 Florentin Münch Discrete Ricci curvature and semigroup estimates

10:30-11:30 Coffee break

11:30-13:00 Florentin Münch Discrete Ricci curvature and homology

13:00-14:00 Lunch

14:00-16:00  Posters and short talks session:

                     Anna Song Distance Function for MEG Numerical Cognitive Tasks Trials

                     Yohai Reani Cycle Registration in Persistent Homology with Applications in Topological Bootstrap

                     Roan Talbut Wasserstein Distances on Tropical Projective Torii of Different Dimensions

16:00-16:30 Coffee break

16:30-18:00 David Gu Abel-Jacobi theory for meshing

Thursday, February 16, 2023

9:30-11:00 Arejit Samal Geometry-inspired measures with wide applications in network science

11:00-11:30 Coffee break

11:30-13:00 Emil Saucan Metric curvatures for networks

13:00-14:00 Lunch

14:00-15:30 Emil Saucan Discrete Morse Theory, Persistent Homology and Ricci curvature

15:30-16:00 Coffee break

16:00-17:30 Anthea Monod Some ideas for algebraic toopology and tropical geometry in statistics and machine learning

17:30-18:00 Alon Katz Distance Function for MEG Numerical Cognitive Tasks Trials

Friday, February 17, 2023

9:30-11:00 Kelin Xia Mathematical AI for molecular data analysis

11:00-11:30 Coffee break

11:30-13:00 Matthias Keller Dirichlet forms on graphs, intrinsic metrics and the heat equation

13:00-13:15 Closing & Good Bye


PhD students, Postdocs and all researchers in Mathematics and Computer Science are invited.

A Poster Session will be organized – The interested participants are invited to present their research. 

Qualified applications will be accepted until all places are filled.  

Local Organizing Committee: Aviv Gibali, Mark Elin, Lavi Karp, Emil Saucan

Important notice:

Dear Participants,
Please notice that when entering Israel you need to have proof of international health insurance (preferably in English), which must be presented upon entry, which will cover the costs in the event of a Covid19 illness. This foreign health insurance is mandatory! See, e.g. Allgemeine Informationen

Lodging Information: The Scool’s hotel is Rimonim Madison Hotel Nahariya

Contact: Ella Dechter, Email  ellade@braude.ac.il, Phone +972-4-9901801