Orbit-Entropy Cones and Extremal Pairwise Orbit-Entropy Inequalities Conference Paper uri icon

abstract

  • © 2016 IEEE. The notion of orbit-entropy cone is introduced. Specifically, orbit-entropy cone equation is the projection of equation induced by G, where equation is the closure of entropy region for n random variables and G is a permutation group over {0; 1;.; n-1}. For symmetric group Sn (with arbitrary n) and cyclic group Cn (with n ≤ 5), the associated orbit-entropy cones are shown to be characterized by the Shannon type inequalities. Moreover, the extremal pairwise relationship between orbit-entropies is determined completely for partitioned symmetric groups and partially for cyclic groups.

author list (cited authors)

  • Chen, J., Salimi, A., Liu, T., & Tian, C.

citation count

  • 4

publication date

  • July 2016

publisher