01:41:01
publiée le 27 juin 2025
Exploring the High-dimensional Random Landscapes of Data Science (3/3)
De Gérard Ben Arous
Non-negativity and rational sums of squares over zero-dimensional varieties
De Teresa Krick
Apparaît dans la collection : 2023 - T3 - WS2 - Geometry of polynomial system solving, optimization and topology
In this work in progress with Lorenzo Baldi and Bernard Mourrain, we extend previous results on univariate rational sums of squares, obtained with Bernard and Agnes Szanto, to the case of a non-negative rational polynomial on a basic zero-dimensional semi-algebraic set defined by rational polynomials.
