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Streaming Algorithms for Ellipsoidal Approximation of Convex Polytopes

2022/06/15 by Makarychev, Yury, Manoj, Naren Sarayu, Ovsiankin, Max
#Computational Geometry (cs.CG) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.2206.07250

Abstract

We give efficient deterministic one-pass streaming algorithms for finding an ellipsoidal approximation of a symmetric convex polytope. The algorithms are near-optimal in that their approximation factors differ from that of the optimal offline solution only by a factor sub-logarithmic in the aspect ratio of the polytope.

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