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math.OC2023
Symmetric SAGE and SONC forms, exactness and quantitative gaps
Philippe Moustrou, Cordian Riener, Thorsten Theobald +1
The classes of sums of arithmetic-geometric exponentials (SAGE) and of sums of nonnegative circuit polynomials (SONC) provide nonnegativity certificates which are based on the ineq…
math.OC2023
Symmetries in polynomial optimization
Philippe Moustrou, Cordian Riener, Hugues Verdure
This chapter investigates how symmetries can be used to reduce the computational complexity in polynomial optimization problems. A focus will be specifically given on the Moment-SO…