Conference proceeding
Non-isomorphic Distribution Supports for Calculating Entropic Vectors
2015 53RD ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), pp.634-641
01 Jan 2015
Abstract
A 2(N) - 1 dimensional vector is said to be entropic if each of its entries can be regarded as the joint entropy of a particular subset of N discrete random variables. The explicit characterization of the closure of the region of entropic vectors (Gamma) over bar (N)* is unknown for N >= 4. A systematic approach is proposed to generate the list of non-isomorphic distribution supports for the purpose of calculating and optimizing entropic vectors. It is shown that a better understanding of the structure of the entropy region can be obtained by constructing inner bounds based on these supports. The constructed inner bounds based on different supports are compared both in full dimension and in a transformed three dimensional space of Csirmaz and Matus.
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Details
- Title
- Non-isomorphic Distribution Supports for Calculating Entropic Vectors
- Creators
- Yunshu Liu - Drexel Univ, Dept ECE, Philadelphia, PA 19104 USAJohn MacLaren Walsh - Drexel UniversityIEEE
- Publication Details
- 2015 53RD ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), pp.634-641
- Conference
- 2015 53RD ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 53rd
- Series
- Annual Allerton Conference on Communication Control and Computing
- Publisher
- IEEE
- Number of pages
- 8
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Identifiers
- 991019170326604721
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