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The University of Chicago Department of Statistics Seminar SETH SULLIVANT Department of Mathematics Harvard University “Algebraic Statistics” Monday, October 10, 2005 at 4:00 PM 133 Eckhart Hall, 5734 S. University Avenue ABSTRACT The emerging field of algebraic statistics advocates the use of polynomial algebra as a tool for statistical analysis. The underlying principle is that many natural families of probability distributions on discrete random variables are algebraic varieties (the zero sets of polynomials). Knowing the polynomials which define these sets of probability distributions can be useful for making statistical inferences and provides a different viewpoint for some problems in probability theory. I will try to illustrate this point with examples from graphical models, phylogeny reconstruction and conditionally specified models.