Relationships between certain f -divergences

James Melbourne; Mokshay Madiman; Murti V. Salapaka

doi:10.1109/ALLERTON.2019.8919677

Relationships between certain f -divergences

James Melbourne, Mokshay Madiman, Murti V. Salapaka

Electrical and Computer Engineering

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

8 Scopus citations

Abstract

We investigate the concavity deficit of the entropy functional. Some properties of the skew-divergence are developed and a 'skew' \chi^{2} divergence is introduced. Various relationships between these f - divergences and others are established, including a reverse Pinsker type inequality for the skew divergence, which in turn yields a sharpening on the upper bound for the entropic concavity deficit.

Original language	English (US)
Title of host publication	2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1068-1073
Number of pages	6
ISBN (Electronic)	9781728131511
DOIs	https://doi.org/10.1109/ALLERTON.2019.8919677
State	Published - Sep 2019
Event	57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019 - Monticello, United States Duration: Sep 24 2019 → Sep 27 2019

Publication series

Name	2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019

Conference

Conference	57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
Country/Territory	United States
City	Monticello
Period	9/24/19 → 9/27/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

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10.1109/ALLERTON.2019.8919677

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Melbourne, J., Madiman, M., & Salapaka, M. V. (2019). Relationships between certain f -divergences. In 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019 (pp. 1068-1073). Article 8919677 (2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ALLERTON.2019.8919677

Relationships between certain f -divergences. / Melbourne, James; Madiman, Mokshay; Salapaka, Murti V.
2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 1068-1073 8919677 (2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019).

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

Melbourne, J, Madiman, M & Salapaka, MV 2019, Relationships between certain f -divergences. in 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019., 8919677, 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019, Institute of Electrical and Electronics Engineers Inc., pp. 1068-1073, 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019, Monticello, United States, 9/24/19. https://doi.org/10.1109/ALLERTON.2019.8919677

Melbourne J, Madiman M, Salapaka MV. Relationships between certain f -divergences. In 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 1068-1073. 8919677. (2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019). doi: 10.1109/ALLERTON.2019.8919677

Melbourne, James ; Madiman, Mokshay ; Salapaka, Murti V. / Relationships between certain f -divergences. 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 1068-1073 (2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019).

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Relationships between certain f -divergences

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