Some Aspects of Totally Positive Kernels Useful in Information Theory

Semih Yagli; Alex Dytso; H. Vincent Poor; Shlomo Shamai Shitz

doi:10.1109/WCNCW.2019.8902888

Some Aspects of Totally Positive Kernels Useful in Information Theory

Semih Yagli, Alex Dytso, H. Vincent Poor, Shlomo Shamai Shitz

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

1 Scopus citations

Abstract

This paper introduces totally positive kernels and Pólya type distributions to information theory. In particular, it is shown that the variational diminishing property of Pólya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.

Original language	English (US)
Title of host publication	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728109220
DOIs	https://doi.org/10.1109/WCNCW.2019.8902888
State	Published - Apr 2019
Event	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019 - Marrakech, Morocco Duration: Apr 15 2019 → Apr 18 2019

Publication series

Name	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019

Conference

Conference	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019
Country/Territory	Morocco
City	Marrakech
Period	4/15/19 → 4/18/19

All Science Journal Classification (ASJC) codes

Safety, Risk, Reliability and Quality
Computer Networks and Communications
Hardware and Architecture
Signal Processing

Access to Document

10.1109/WCNCW.2019.8902888

Cite this

Yagli, S., Dytso, A., Poor, H. V., & Shamai Shitz, S. (2019). Some Aspects of Totally Positive Kernels Useful in Information Theory. In 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019 Article 8902888 (2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WCNCW.2019.8902888

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title = "Some Aspects of Totally Positive Kernels Useful in Information Theory",

abstract = "This paper introduces totally positive kernels and P{\'o}lya type distributions to information theory. In particular, it is shown that the variational diminishing property of P{\'o}lya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.",

author = "Semih Yagli and Alex Dytso and Poor, {H. Vincent} and {Shamai Shitz}, Shlomo",

year = "2019",

month = apr,

doi = "10.1109/WCNCW.2019.8902888",

language = "English (US)",

series = "2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019",

address = "United States",

note = "2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019 ; Conference date: 15-04-2019 Through 18-04-2019",

}

Yagli, S, Dytso, A, Poor, HV & Shamai Shitz, S 2019, Some Aspects of Totally Positive Kernels Useful in Information Theory. in 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019., 8902888, 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019, Institute of Electrical and Electronics Engineers Inc., 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019, Marrakech, Morocco, 4/15/19. https://doi.org/10.1109/WCNCW.2019.8902888

Some Aspects of Totally Positive Kernels Useful in Information Theory. / Yagli, Semih; Dytso, Alex; Poor, H. Vincent et al.
2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8902888 (2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019).

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

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AB - This paper introduces totally positive kernels and Pólya type distributions to information theory. In particular, it is shown that the variational diminishing property of Pólya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.

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M3 - Conference contribution

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BT - 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019

PB - Institute of Electrical and Electronics Engineers Inc.

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Yagli S, Dytso A, Poor HV, Shamai Shitz S. Some Aspects of Totally Positive Kernels Useful in Information Theory. In 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8902888. (2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019). doi: 10.1109/WCNCW.2019.8902888

Some Aspects of Totally Positive Kernels Useful in Information Theory

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