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math.OC2022★ 1 cited
A Globally Convergent LP and SOCP-based algorithm for Semidefinite Programming
Biel Roig-Solvas, Mario Sznaier
Semidefinite programs (SDP) are one of the most versatile frameworks in numerical optimization, serving as generalizations of many conic programs and as relaxations of NP-hard comb…
math.OC2021
Peak Estimation for Uncertain and Switched Systems
Jared Miller, Didier Henrion, Mario Sznaier +1
Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete se…
math.OC2019
Chordal Decomposition in Rank Minimized Semidefinite Programs with Applications to Subspace Clustering
Jared Miller, Yang Zheng, Biel Roig-Solvas +2
Semidefinite programs (SDPs) often arise in relaxations of some NP-hard problems, and if the solution of the SDP obeys certain rank constraints, the relaxation will be tight. Decom…