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Algebraic Statistics Short Course

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Algebraic Statistics Short Course Instructor:  Seth Sullivant Dates:  May 30  - June 2, 2006 Times:   1:00 PM  - 3:30 PM Location:   SCI 705,  Harvard University Abstract:  Algebraic statistics advocates the use of algebraic geometry, commutative algebra, and geometric combinatorics as tools for making statistical inferences. The starting point for this connection is the observation that most statistical models for discrete random variables are, in fact, algebraic varieties. While some of the varieties that appear are classical varieties (like Segre varieties and toric varieties), most are new, and there are many challenging open problems about the algebraic structure of these varieties. These lectures will provide an introduction to algebraic statistics, emphasizing both the interesting algebraic questions that arise and the statistical consequences of the algebraic analysis. Schedule: Time/Date Tues, May 30 Weds, May 31 Thurs, June 1 Friday, June 2 1 PM - 2PM Lecture 1 Lecture 3

The Wayback Machine - https://web.archive.org/web/20070419014808/http://www.math.harvard.edu/~seths/assc.html Lecture 1: Statistical models are algebraic varieties Notes This lecture will be devoted to introducing the basic objects of the lecture series. I'll explain what I mean by a statistical model for discrete random variables, what are algebraic varieties and their ideals, and how these concepts are related to each other. In particular, I will try to explain what the title means and the subtleties that arise, illustrating everything with lots of examples. This lecture is the most…

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