Conservation of mutual and directed information
(2005) IEEE International Symposium on Information Theory (ISIT), 2005 p.157-158- Abstract
- Two conservation laws for mutual information in terms of directed informations between two synchronized sequences of random variables are derived, the first for the case of no conditioning and the second for the case of causal conditioning on a third synchronized sequence. As a byproduct of the derivation of the first conservation law, the directed information specifying the feedback flowing from the second sequence to the first sequence is identified, which leads to a simple proof that a previously known sufficient condition for equality of mutual and directed information is also a necessary condition
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/616249
- author
- Massey, James L. LU and Massey, P
- organization
- publishing date
- 2005
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- conservation law, directed informations, causal conditioning, synchronized sequences, random variables
- host publication
- 2005 IEEE International Symposium on Information Theory (ISIT)
- pages
- 157 - 158
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- IEEE International Symposium on Information Theory (ISIT), 2005
- conference location
- Adelaide, Australia
- conference dates
- 2005-09-04 - 2005-09-09
- external identifiers
-
- wos:000234713800034
- scopus:33749450730
- ISBN
- 0-7803-9150-0
- DOI
- 10.1109/ISIT.2005.1523313
- language
- English
- LU publication?
- yes
- id
- 91ea9b90-e9f1-4594-ad97-97199d75ce43 (old id 616249)
- date added to LUP
- 2016-04-04 10:41:49
- date last changed
- 2022-01-29 20:42:20
@inproceedings{91ea9b90-e9f1-4594-ad97-97199d75ce43, abstract = {{Two conservation laws for mutual information in terms of directed informations between two synchronized sequences of random variables are derived, the first for the case of no conditioning and the second for the case of causal conditioning on a third synchronized sequence. As a byproduct of the derivation of the first conservation law, the directed information specifying the feedback flowing from the second sequence to the first sequence is identified, which leads to a simple proof that a previously known sufficient condition for equality of mutual and directed information is also a necessary condition}}, author = {{Massey, James L. and Massey, P}}, booktitle = {{2005 IEEE International Symposium on Information Theory (ISIT)}}, isbn = {{0-7803-9150-0}}, keywords = {{conservation law; directed informations; causal conditioning; synchronized sequences; random variables}}, language = {{eng}}, pages = {{157--158}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Conservation of mutual and directed information}}, url = {{http://dx.doi.org/10.1109/ISIT.2005.1523313}}, doi = {{10.1109/ISIT.2005.1523313}}, year = {{2005}}, }