Relations among conditional probabilities

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Abstract

We describe a universal Gröbner basis of relations among conditional probabilities in a discrete probability space, with any set of conditioned-upon events. They may be specialized to the partially-observed random variable case, the purely conditional case, and other special cases. We also investigate the connection to generalized permutohedra and describe a "conditional probability simplex" which is the image of a multigraded moment map.

Original languageEnglish (US)
Pages (from-to)478-492
Number of pages15
JournalJournal of Symbolic Computation
Volume50
DOIs
StatePublished - Mar 1 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics

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