[Aalto AGC Seminar] Michael Yang | Completions to discrete probability distributions in scaled log-linear models | Mon 18.5. at 14:15

[Aalto Algebra, Geometry and Combinatorics Seminar]

We would like to invite you to the next talk of the spring in the Aalto AGC (Algebra, Geometry and Combinatorics) Seminar!

The talk is on
Mon 18.5. at 14:15-15:00
in
M3, Otakaari 1

The speaker is Michael Yang

Title: Completions to discrete probability distributions in scaled log-linear models (master’s thesis presentation)
Abstract: Log-linear models are mathematical models that are mapped to linear models under the logarithm map. In the context of algebraic geometry, they can be expressed as the intersection of a toric variety with the probability simplex.  In this talk, we will look at how to complete a partial observation to the log-linear model. That is, for a point that is missing certain coordinates, filling in those missing coordinates in such a way that the complete point belongs in the log-linear model. As it turns out, under certain conditions, there will always be at most two unique completions to the log-linear model for a partial observation. During this talk, we will elaborate on this topic by considering concepts from algebraic geometry, and apply these concepts on a simple but non-trivial example of the Hardy-Weinberg principle applied to a gene pool with two alleles.

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