A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel

Or Ordentlich; Ofer Shayevitz

doi:10.1109/ISIT.2015.7282879

A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel

Or Ordentlich, Ofer Shayevitz

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

6 Scopus citations

Abstract

The binary adder is a two-user multiple access channel whose inputs are binary and whose output is the real sum of the inputs. While the Shannon capacity region of this channel is well known, little is known regarding its zero-error capacity region, and a large gap remains between the best inner and outer bounds. In this paper, we provide an improved outer bound for this problem. To that end, we introduce a soft variation of the Saur-Perles-Shelah Lemma, that is then used in conjunction with an outer bound for the Shannon capacity region with an additional common message.

Original language	English
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2366-2370
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282879
State	Published - 28 Sep 2015
Externally published	Yes
Event	IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: 14 Jun 2015 → 19 Jun 2015

Publication series

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

Conference

Conference	IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	Hong Kong
City	Hong Kong
Period	14/06/15 → 19/06/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

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10.1109/ISIT.2015.7282879

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Ordentlich, O., & Shayevitz, O. (2015). A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 2366-2370). Article 7282879 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282879

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abstract = "The binary adder is a two-user multiple access channel whose inputs are binary and whose output is the real sum of the inputs. While the Shannon capacity region of this channel is well known, little is known regarding its zero-error capacity region, and a large gap remains between the best inner and outer bounds. In this paper, we provide an improved outer bound for this problem. To that end, we introduce a soft variation of the Saur-Perles-Shelah Lemma, that is then used in conjunction with an outer bound for the Shannon capacity region with an additional common message.",

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Ordentlich, O & Shayevitz, O 2015, A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282879, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 2366-2370, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 14/06/15. https://doi.org/10.1109/ISIT.2015.7282879

A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel. / Ordentlich, Or; Shayevitz, Ofer.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2366-2370 7282879 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

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

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Ordentlich O, Shayevitz O. A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2366-2370. 7282879. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2015.7282879

A VC-dimension-based outer bound on the zero-error capacity of the binary adder channel

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