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February 2, 2019

Tropical geometry of statistical models. At least, the conclusion is very understandable:

The algebraic representation for graphical models with hidden variables leads naturally to an interpretation of a parameterized model as a point on an algebraic variety. Marginal probabilities are coordinates of points on the variety. Varieties can be tropicalized, and the statistical meaning is that the MAP prob- abilities (calculated with logarithms of the parameters) can be interpreted as coordinates of points on the positive part of the tropical variety.