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math.OC2026
The Cone Generated by Positive Semidefinite Mean Polynomials
Mehdi Ghasemi, Salma Kuhlmann
We study the cone of nonnegative mean polynomials---real -variate forms of degree that can be expressed as weighted power means with $q>…
math.OC2023★ 1 cited
Infinite-dimensional moment-SOS hierarchy for nonlinear partial differential equations
Didier Henrion, Maria Infusino, Salma Kuhlmann +1
We formulate a class of nonlinear {evolution} partial differential equations (PDEs) as linear optimization problems on moments of positive measures supported on infinite-dimensiona…