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Roser Homs Pons (Technische Universität München): Third Order Moment Varieties of Non-Gaussian Graphical Models

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, E1 05 (Leibniz-Saal)

We study non-Gaussian graphical models from a perspective of algebraic statistics. Our focus is on algebraic relations among second and third moments in graphical models given by linear structural equations. We show that when the graph is a tree these relations form a toric ideal. From the covariance matrix and the third moment tensor, we construct explicit matrices (associated to treks and multi-treks) whose $2\times 2$ minors generate the vanishing ideal of the model. This is a joint work with Carlos Améndola, Mathias Drton, Alexandros Grosdos and Elina Robeva.

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Beginn: July 23, 2021, 11 a.m.

Ende: July 23, 2021, noon