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Francesca Crucinio

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Location: Stats common room (MSB 1.02)

Algebraic Statistics – Some Ideas

Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets.

This talk will introduce the fundamental ideas behind algebraic statistics and the applications that pushed the development of the field in the late 1990s. We will explore the link between statistical inference and algebra and see how this link is used to build MCMC algorithms on discrete spaces.

We will then move more recent developments aimed at speeding up the convergence of such MCMC algorithms.

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