Tropical Gaussians: A Brief Survey

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keywords tropicalanaloguesbriefdirectionsexistinggaussiangaussiansmeasure

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We review the existing analogues of the Gaussian measure in the tropical semiring and outline various research directions.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Statistics and tropicalization of local field Gaussian measures
math.ST 2019-09 conditional novelty 7.0 of 10

Over local fields, the maximum likelihood Gaussian is the span of the data, conditional independence is an F_q-realizable matroid, and in dimension 2 the tropicalized Gaussian is exactly a supermodular tropical polynomial.