This event is part of Algebraic Statistics and Our Changing World View Details

Apprenticeship Week: Varieties from Statistics

October 2 — 6, 2023

Description

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Algebraic statistics is concerned with statistical models that can be described by polynomials. The zero sets of these polynomials are interesting objects in algebraic geometry. This is a hands-on workshop aimed at graduate students and beginning postdocs interested in this area. Participants will be grouped into teams, and each team will get started on a research paper, intended for publication in the journal Algebraic Statistics. This intense experience is guided by three experienced mentors.

Application deadline: April 30, 2023

Organizers

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S H
Serkan Hoşten San Francisco State University
K K
Kaie Kubjas Aalto University
B S
Bernd Sturmfels MPI Leipzig & UC Berkeley

Schedule

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Monday, October 2, 2023
9:00-10:00 CDT
Moment varieties of classical distributions

Speaker: Oskar Henriksson, Lisa Seccia, Teresa Yu (University of Copenhagen, Max Planck Institute for Mathematics in the Sciences, University of Michigan)

10:00-10:30 CDT
Break
10:30-11:30 CDT
Stratification of toric MLE

Speaker: Oliver Clarke, Natalia Kushnerchuk, Jannike Oldekop (The University of Edinburgh, Aalto University, Technische Universität Berlin and WIAS Berlin)

11:30-13:00 CDT
Lunch
13:00-14:00 CDT
Wasserstein distance to varieties

Speaker: Greg DePaul, Nilava Metya, Ikenna Nometa (University of California, Davis (UC Davis), Rutgers University, University of Hawaii, Manoa)

14:00-14:30 CDT
Break
14:30-15:30 CDT
Polynomial neural network

Speaker: Miles Bakenhus, Maximilian Wiesmann, Maksym Zubkov (Illinois Institute of Technology, Max Planck Institute for Mathematics in the Sciences, University of California, Berkeley (UC Berkeley))

Tuesday, October 3, 2023
9:00-10:00 CDT
Group Work
10:00-10:30 CDT
Break
10:30-11:30 CDT
Group Work
11:30-13:00 CDT
Lunch
13:00-14:00 CDT
Group Work
14:00-15:00 CDT
Social Hour
15:00-16:00 CDT
Group Work
Wednesday, October 4, 2023
9:00-10:00 CDT
Homaloidal polynomials and Gaussian models

Speaker: Shelby Cox, Pratik Misra, Pardis Semnani (University of Michigan, KTH Royal Institute of Technology, University of British Columbia)

10:00-10:30 CDT
Break
10:30-11:30 CDT
Likelihood correspondence

Speaker:  David Barnhill, John Cobb, Matthew Faust  (Naval Postgraduate School, University of Wisconsin, Madison, Texas A&M University)

11:30-13:00 CDT
Lunch
13:00-14:00 CDT
Algebraic compressed sensing

Speaker: May Cai, Cecilie Olesen Recke, Thomas Yahl (Georgia Institute of Technology (Georgia Tech), University of Copenhagen, Texas A&M University)

14:00-14:30 CDT
Break
14:30-15:30 CDT
Algebraic Varieties in Quantum Chemistry

Speaker: Bernd Sturmfels (MPI Leipzig)

Thursday, October 5, 2023
9:00-10:00 CDT
Group Work
10:00-10:30 CDT
Break
10:30-11:30 CDT
Group Work
11:30-13:00 CDT
Lunch
13:00-14:00 CDT
Group Work
14:00-14:30 CDT
Break
14:30-16:00 CDT
Group Work
Friday, October 6, 2023
10:00-11:00 CDT
Mixtures of discrete graphical models

Speaker: Yulia Alexandr, Jane Coons, Nils Sturma (University of California, Berkeley (UC Berkeley), University of Oxford, Technische Universität München (TUM))

11:00-11:30 CDT
Break
11:30-12:00 CDT
Non-independent component analysis and cumulant tensors

Speaker: Marina Garrote-López (Max Planck Institute for Mathematics in the Sciences)

13:30-14:30 CDT
Titles and Abstracts

Speaker: Bernd Sturmfels

15:30-16:30 CDT
Jobs and Beyond

Speaker: Jose Israel Rodriguez