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math.AG2022
A Generalized Muirhead Inequality and Symmetric Sums of Nonnegative Circuits
Janin Heuer, Ngoc Mai Tran, Timo de Wolff
Circuit polynomials are a certificate of nonnegativity for real polynomials, which can be derived via a generalization of the classical inequality of arithmetic and geometric means…
math.AG2022
The Duality of SONC: Advances in Circuit-based Certificates
Janin Heuer, Timo de Wolff
The cone of sums of nonnegative circuits (SONCs) is a subset of the cone of nonnegative polynomials / exponential sums, which has been studied extensively in recent years. In this…