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math.OC2022
Inner and Outer Approximations of Star-Convex Semialgebraic Sets
James Guthrie
We consider the problem of approximating a semialgebraic set with a sublevel-set of a polynomial function. In this setting, it is standard to seek a minimum volume outer approximat…
math.OC2021
Inner Approximations of the Positive-Semidefinite Cone via Grassmannian Packings
Tianqi Zheng, James Guthrie, Enrique Mallada
We investigate the problem of finding inner ap-proximations of positive semidefinite (PSD) cones. We developa novel decomposition framework of the PSD cone by meansof conical combi…
math.OC2019
Adversarial Model Predictive Control via Second-Order Cone Programming
James Guthrie, Enrique Mallada
We study the problem of designing attacks to safety-critical systems in which the adversary seeks to maximize the overall system cost within a model predictive control framework. A…