Project
AA3-16
Likelihood Geometry of Max-Linear Bayesian Networks
Project Heads
Carlos Enrique Améndola Cerón
Project Members
Kamillo Hugh Ferry
Project Duration
01.04.2023 – 31.03.2026
Located at
TU Berlin
Description
Max-linear Bayesian networks have emerged from the need to model cause and effect relations between large observed values of several variables. The structural equations that govern these relations via the model parameters can be reinterpreted in the language of tropical geometry. We will exploit this geometric connection to gain new insights on the possible combinatorial structures on the support of the random variables. This will allow us to obtain results pertaining to the statistical problem of parameter estimation for these networks from given data.
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