Algebraic Methods: Algebraic Statistical Models -January 15-17, 2009
General Information
Synopsis:
Many classical statistical models, in particular Gaussian models from multivariate statistics and models for discrete random variables, exhibit algebraic structure in their parameter spaces. This workshop focuses on both algebraic and statistical aspects of such algebraic statistical models. It is intended to complement other mid-program workshops, which will focus more on particular application areas. Possible topics that will be discussed include:
- Statistical models with singularities
- Analysis of contingency tables, Markov bases, disclosure limitation
- Graphical models and other conditional independence models.
The precise research topics to be discussed at the workshop will be determined by the research focus of the working groups formed at the kickoff workshop. At this point, we envision a working group working on many of these topics throughout the year.
Sessions:
Large portions of the meeting will be devoted to open discussion sessions. These periods will allow participants to actively begin new collaborations, discuss new research directions, and make new connections. This time might also be used for impromptu lectures by participants. In addition, there will be a poster session for participants to present their research.
Lectures:
The schedule of talks will consist of eleven one hour lectures (including 5-10 minutes for questions and discussion).
Organizing Committee: Mathias Drton (University of Chicago), Eva Riccomagno (University of Genova), Seth Sullivant (North Carolina State University)
Speakers: Elizabeth Allman (University of Alaska), Serkan Hosten (San Francisco State University), Steffen Lauritzen (Oxford University), Hugo Maruri-Aguilar (London School of Economics),Jason Morton (Stanford University), Sonja Petrovic (University of Illinois, Chicago), Donald Richards (Pennsylvania State University), Thomas Richardson (University of Washington), Akimichi Takemura (University of Tokyo), Jin Tian (Iowa State University), Ruriko Yoshida (University of Kentucky)
Schedule
Thursday, January 15, 2009
| 8:15-8:45 | Registration and Continental Breakfast |
| 8:45-9:00 | Welcome |
| 9:00-10:00 | Steffen Lauritzen, Oxford University Combining Statistical Models - Towards Structural Meta-Analysis |
| 10:00-10:30 | Break |
| 10:30-11:30 | Jin Tian, Iowa State University Causal Inference and Algebraic Methods |
| 11:30-12:30 | Discussion |
| 12:30-2:00 | Lunch |
| 2:00-3:00 | Elizabeth Allman, University of Alaska Applications of Kruskal's Theorem to the Identifiability of Algebraic Statistical Models |
| 3:00-3:30 | Break and Poster set-up |
| 3:30-4:30 | Sonja Petrovic, University of Illinois - Chicago Markov Bases of p1 Random Graph Models |
| 4:30-5:00 | Poster Advertisements (2 minute ads each) |
| 5:00-7:00 | Poster Session and Reception SAMSI will provide poster presentation boards and tape. The board dimensions are 4 ft. wide by 3 ft. high. They are tri-fold with each side being 1 ft. wide and the center 2 ft. wide. Please make sure your poster fits the board. The boards can accommodate up to 16 pages of paper measuring 8.5 inches by 11 inches. |
Friday, January 16, 2009
| 8:30-9:00 | Registration and Continental Breakfast |
| 9:00-10:00 | Thomas Richardson, University of Washington Analysis of the Binary Instrumental Variable Model |
| 10:00-10:30 | Break |
| 10:30-11:30 | Donald Richards, Penn State University Finite-Sample Inference with Incomplete Multivariate Normal Data |
| 11:30-12:30 | Open Problem Discussion |
| 12:30-2:00 | Lunch |
| 2:00-3:00 | Ruriko Yoshida, University of Kentucky Geometry of Cophylogeny and its Applications to Genome Evolution |
| 3:00-3:30 | Break |
| 3:30-4:00 | Discussion |
| 4:00-5:00 | Akimichi Takemura, University of Tokyo Minimality Properties of Markov Bases and Normality of Semigroups |
Saturday, January 17, 2009
| 8:00-8:30 | Registration and Continental Breakfast |
| 8:30-9:30 | Hugo Maruri-Aguilar, London School of Economics Design Fan, Term Orders and Zonotopes |
| 9:30-10:30 | Jason Morton, Stanford University Algebraic Models for Multilinear Dependence |
| 10:30-11:00 | Break |
| 11:00-12:00 | Serkan Hosten, San Francisco State University Algebra, Geometry, and Algorithms for Maximum Likelihood Estimation |
| 12:00-12:30 | Discussion and Closing |
| 12:30-1:30 | Lunch |
| 1:30 | Adjournment |