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math.OC2026
Convergence Rates for Lasserre's Upper-Bound Hierarchy on with Gaussian Measure
Sander Gribling, Igor Klep, Poornendu Kumar
We establish quantitative convergence rates for Lasserre's measure-based upper-bound hierarchy on using the standard Gaussian measure as the reference measure. For a…
math.OC2026
Squared polynomial approximation kernels for the hypercube: improved error bounds and implications for Lasserre hierarchies
Sander Gribling, Etienne de Klerk, Juan C. Vera
We propose a new family of polynomial approximation kernels for approximating nonnegative polynomials on the hypercube . Our Kernels produce polynomial sums-of-squares of…