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- W3211940595 abstract "Abstract A two‐step model for generating random polytopes is considered. For parameters d , m , and p , the first step is to generate a simple polytope P whose facets are given by m uniform random hyperplanes tangent to the unit sphere in , and the second step is to sample each vertex of P independently with probability p and let Q be the convex hull of the sampled vertices. We establish results on how well Q approximates the unit sphere in terms of m and p as well as asymptotics on the combinatorial complexity of Q for certain regimes of p ." @default.
- W3211940595 created "2021-11-22" @default.
- W3211940595 creator A5074617530 @default.
- W3211940595 date "2021-11-12" @default.
- W3211940595 modified "2023-10-16" @default.
- W3211940595 title "Doubly random polytopes" @default.
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- W3211940595 doi "https://doi.org/10.1002/rsa.21059" @default.
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