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

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.

name of conference

• 2016 IEEE International Symposium on Information Theory (ISIT)

authors

• Liu, Tie
• Tian, Chao

published proceedings

• 2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY

author list (cited authors)

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

citation count

• 4

complete list of authors

• Chen, Jun||Salimi, Amir||Liu, Tie||Tian, Chao

publication date

• January 2016

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE International Symposium on Information Theory - Proceedings  Journal

Digital Object Identifier (DOI)

• 10.1109/isit.2016.7541772

International Standard Book Number (ISBN) 13

• 9781509018062

start page

• 2614

end page

• 2618

volume

• 2016-August