# Publications

Monotonous polynomials and sums of squares,” In Preparation.

, “ , “

Polynomial Norms,” Submitted. Download Here

, “ On the construction of converging hierarchies for polynomial optimization based on certificates of global positivity,” Mathematics of Operations Research, Forthcoming. Download Here

, “ , “

Improving efficiency and scalability of sum of squares optimization:recent advances and limitations,” Proceedings of the Conference on Decision and Control, 2017.

, “ Geometry of 3D Environments and Sum of Squares Polynomials,” in RSS 2017, 2017. On ArXivAbstract Download here.

, “ DC Decomposition of Nonconvex Polynomials with Algebraic Techniques,” Mathematical Programming - Series B, 2017. On ArXivAbstract Download Here

, “ Sum of Squares Basis Pursuit with Linear and Second Order Cone Programming,” in Algebraic and Geometric Methods in Discrete Mathematics, Contemporary Mathematics, 2017. On ArXivAbstract Download Here

, “ Optimization over Structured Subsets of Positive Semidefinite Matrices via Column Generation,” Discrete Optimization, 2016.Abstract Download Here

, “ Exact Recovery in the Stochastic Block Model,” IEEE: Transactions on Information Theory, vol. 62, no. 1, 2016. On ArXivAbstract Download Here

, “