Program

During the summer chool, we schedule  four mini courses of 4 hours each plus exercises. We also encourage participants to contribute with talks about their own research.

Mini courses

Mini courses will be given by

Kaie Kubjas (Aalto University): Algebraic methods for maximum likelihood estimation. Slides Kaie

Fatemeh Mohammadi (University of Bristol): Algebra and geometry of conditional independence statements and probabilistic graphical models.

Carlos Amendola (Technische Universität München): Signature Tensors. Slides Carlos

Sonja Petrovic (Illinois Institute of Technology): The role of algebraic statistics in estimation and modeling of random graphs and networks.

Literature

Sonja Petrovic:

An Exponential Family of Probability Distributions for Directed Graphs: Comment  ,Stephen E. Fienberg and Stanley Wasserman, JASA 1981, DOI: 10.2307/2287039

An Exponential Family of Probability Distributions for Directed Graphs , JASA 1981, Paul W. Holland and Samuel Leinhardt, DOI: 10.2307/2287037

 

Here is the data set I will be analyzing:

https://www.nytimes.com/2014/06/25/business/international/shinzo-abes-bid-to-shake-up-corporate-japan.html (see the figure titled “Inside Japan Inc.”).

 

Here are some other standard references I’ll cite:

Algebraic algorithms for sampling from conditional distributions, AOS 1998, Persi Diaconis and Bernd Sturmfels.

 

Toric Ideals Generated by Quadratic Binomials, JAlg 1999, Hidefumi Ohsugi and Takayuki Hibi

 

Minimal generators of toric ideals of graphs, Adv. Appl. Math 2010, Enrique Reyes, Christos Tatakis, Apostolos Thoma

 

Rees algebras of edge ideals, Comm Alg 1995, Rafael Villarreal

 

 

Contributed talks

0900: Toru Imai, Estimating real log canonical thresholds of statistical models

0915: Olga Kusnetsova, Private Information Retrieval

0930: Francesco Galuppi, Signature tensors and the Rough Veronese Variety

0945: Cristina Olimpia Chavez Chong, Text mining using topological data analysis

1015: Frank Röttger, Geometry of optimal designs for nonlinear regression

1030: Ann-Kristin Becker, Identification in the Dynamic Stochastic Blockmodel

1045: Alexandros Grosdos, Moment Ideals of Local Mixtures

1100: Jordi Roca-Lacostena, On the embedding problem for evolutionary Markov matrices

1130:  Daniele Agostini, Discrete Gaussians and abelian varieties

1145: Philipp di Dio, Applications of the Truncated Moment Problem

1200: Alaa Eddina Mahi, Optimal transport: Word Mover’s Distance on text

1215: Marina Garrote-Lopez, Stochasticity conditions for Phylogenetic Reconstruction

 

Schedule

	Monday Auditorium 1, MH building	Tuesday Auditorium 3, MH building	Wednesday Tabletten, Pharmacy building	Thursday Auditorium 7, MH building	Friday Lille Auditorium, Science building
08.00 – 08.50	Registration from 0830 and Welcome at 0845				Sonja Petrovic
09.00 – 09.50	Fatemeh Mohammadi	Sonja Petrovic	Contributed talks	Sonja Petrovic	Fatemeh Mohammadi
10.00 – 10.50	Sonja Petrovic	Fatemeh Mohammadi	Contributed talks	Fatemeh Mohammadi	Carlos Amendola
11.00 – 11.50	Exercises	Exercises	Contributed talks	Exercises	Kaie Kubjas
12.00 – 13.30	Lunch	Lunch	Lunch	Lunch	Lunch and departure
13.30 – 14.20	Carlos Amendola	Carlos Amendola	Free afternoon	Carlos Amendola
14.30 – 15.20	Kaie Kubjas	Kaie Kubjas	Free afternoon	Kaie Kubjas
15.30 – 16.20	Exercises	Exercises	Free afternoon	Exercises