Finiteness theorems in algebraic statistics
Thursday December 18, 2008
03:30PM - 04:30PM
Speakers:
Seth Sullivant
Abstract:
Title: Finiteness theorems in algebraic statistics
Abstract: This talk will describe a range of new finiteness results for
statistical models, in particular, results which say that, up to symmetry,
many models in random variables with state space tending to infinity have
finite descriptions. The focus will be on applications of these ideas to
Markov bases, but the techniques apply to many other statistical models.
The results follow from studying polynomial rings in infinitely many
indeterminates under the action of the infinite symmetric groups, which
leads to a theory that may be of independent interest.
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