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Uniform Random Sampling in Polyhedra

Benoit Meister 1 Philippe Clauss 2, 3 
3 CAMUS - Compilation pour les Architectures MUlti-coeurS
Inria Nancy - Grand Est, ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
Abstract : We propose a method for generating uniform samples among a domain of integer points defined by a polyhedron in a multi-dimensional space. The method extends to domains defined by parametric polyhedra, in which a subset of the variables are symbolic. We motivate this work by a list of applications for the method in computer science. The proposed method relies on polyhedral ranking functions, as well as a recent inversion method for them, named trahrhe expressions.
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Submitted on : Tuesday, December 31, 2019 - 10:52:45 AM
Last modification on : Friday, November 18, 2022 - 9:27:12 AM
Long-term archiving on: : Wednesday, April 1, 2020 - 1:34:34 PM


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  • HAL Id : hal-02425752, version 1


Benoit Meister, Philippe Clauss. Uniform Random Sampling in Polyhedra. IMPACT 2020 - 10th International Workshop on Polyhedral Compilation Techniques, Jan 2020, Bologna, Italy. ⟨hal-02425752⟩



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