One-shot mutual covering lemma and Marton's inner bound with a common message

Jingbo Liu; Paul Cuff; Sergio Verdu

doi:10.1109/ISIT.2015.7282697

One-shot mutual covering lemma and Marton's inner bound with a common message

Jingbo Liu, Paul Cuff, Sergio Verdu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

15 Scopus citations

Abstract

By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d. case. The encoder employed is deterministic. Relationship between the mutual covering lemma and a new type of channel resolvability problem is discussed.

Original language	English (US)
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1457-1461
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282697
State	Published - Sep 28 2015
Event	IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: Jun 14 2015 → Jun 19 2015

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2015-June
ISSN (Print)	2157-8095

Other

Other	IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	Hong Kong
City	Hong Kong
Period	6/14/15 → 6/19/15

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.2015.7282697

Cite this

Liu, J., Cuff, P., & Verdu, S. (2015). One-shot mutual covering lemma and Marton's inner bound with a common message. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 1457-1461). Article 7282697 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282697

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abstract = "By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d. case. The encoder employed is deterministic. Relationship between the mutual covering lemma and a new type of channel resolvability problem is discussed.",

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Liu, J, Cuff, P & Verdu, S 2015, One-shot mutual covering lemma and Marton's inner bound with a common message. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282697, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 1457-1461, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 6/14/15. https://doi.org/10.1109/ISIT.2015.7282697

One-shot mutual covering lemma and Marton's inner bound with a common message. / Liu, Jingbo; Cuff, Paul; Verdu, Sergio.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 1457-1461 7282697 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d. case. The encoder employed is deterministic. Relationship between the mutual covering lemma and a new type of channel resolvability problem is discussed.

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Liu J, Cuff P, Verdu S. One-shot mutual covering lemma and Marton's inner bound with a common message. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 1457-1461. 7282697. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2015.7282697

One-shot mutual covering lemma and Marton's inner bound with a common message

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