9 citations · 43 across the 12 of their papers we have counts for
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math.OC2022★ 6 cited
Sequential sum-of-squares programming for analysis of nonlinear systems
Torbjørn Cunis, Benoît Legat
Numerous interesting properties in nonlinear systems analysis can be written as polynomial optimization problems with nonconvex sum-of-squares problems. To solve those problems eff…
math.OC2022★ 5 cited
Low-Rank Univariate Sum of Squares Has No Spurious Local Minima
Benoît Legat, Chenyang Yuan, Pablo A. Parrilo
We study the problem of decomposing a polynomial into a sum of squares by minimizing a quadratically penalized objective $f_p(\mathbf{u}) = \left\lVert \sum_{i=1}^r u_i^2 -…