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math.OC2022★ 1 cited
Exponential convergence of sum-of-squares hierarchies for trigonometric polynomials
Francis Bach, Alessandro Rudi
We consider the unconstrained optimization of multivariate trigonometric polynomials by the sum-of-squares hierarchy of lower bounds. We first show a convergence rate of …
math.OC2022★ 1 cited
Second order conditions to decompose smooth functions as sums of squares
Ulysse Marteau-Ferey, Francis Bach, Alessandro Rudi
We consider the problem of decomposing a regular non-negative function as a sum of squares of functions which preserve some form of regularity. In the same way as decomposing non-n…