Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 2007 | Submitted + Published
Book Section - Chapter Open

On a Construction of Entropic Vectors Using Lattice-Generated Distributions

Abstract

The problem of determining the region of entropic vectors is a central one in information theory. Recently, there has been a great deal of interest in the development of non-Shannon information inequalities, which provide outer bounds to the aforementioned region; however, there has been less recent work on developing inner bounds. This paper develops an inner bound that applies to any number of random variables and which is tight for 2 and 3 random variables (the only cases where the entropy region is known). The construction is based on probability distributions generated by a lattice. The region is shown to be a polytope generated by a set of linear inequalities. Study of the region for 4 and more random variables is currently under investigation.

Additional Information

© 2007 IEEE.

Attached Files

Published - 04557096.pdf

Submitted - On_a_Construction_of_Entropic_Vectors_Using_Lattice-Generated_Distributions.pdf

Files

On_a_Construction_of_Entropic_Vectors_Using_Lattice-Generated_Distributions.pdf
Files (530.8 kB)
Name Size Download all
md5:41c3ef6f201996c56dbf4855930cfab5
192.6 kB Preview Download
md5:44cc23729057a7172d9e9371da7df391
338.2 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023