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- W2944483747 abstract "In this article, we explore the connections between nonnegativity, the theory of $A$-discriminants, and tropical geometry. For an integral support set $A subset mathbb{Z}^n$, we cover the boundary of the sonc-cone by semialgebraic sets that are parametrized by families of tropical hypersurfaces. As an application, we give sufficient conditions for equality between the sonc-cone and the sparse nonnegativity cone for generic support sets, and we describe a semialgebraic stratification of the boundary of the sonc-cone in the univariate case." @default.
- W2944483747 created "2019-05-16" @default.
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- W2944483747 date "2022-09-01" @default.
- W2944483747 modified "2023-09-24" @default.
- W2944483747 title "The Algebraic Boundary of the Sonc-Cone" @default.
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- W2944483747 doi "https://doi.org/10.1137/20m1325484" @default.
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