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Transcript
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.