THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE

Jhoan Keider Hoyos Osorio; Oscar Skean; Austin J. Brockmeier; Luis Gonzalo Sanchez Giraldo

doi:10.1109/ICASSP43922.2022.9747350

THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE

Jhoan Keider Hoyos Osorio, Oscar Skean, Austin J. Brockmeier, Luis Gonzalo Sanchez Giraldo

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

Abstract

We introduce a divergence measure between data distributions based on operators in reproducing kernel Hilbert spaces defined by kernels. The empirical estimator of the divergence is computed using the eigenvalues of positive definite Gram matrices that are obtained by evaluating the kernel over pairs of data points. The new measure shares similar properties to Jensen-Shannon divergence. Convergence of the proposed estimators follows from concentration results based on the difference between the ordered spectrum of the Gram matrices and the integral operators associated with the population quantities. The proposed measure of divergence avoids the estimation of the probability distribution underlying the data. Numerical experiments involving comparing distributions and applications to sampling unbalanced data for classification show that the proposed divergence can achieve state of the art results.

Original language	English
Title of host publication	2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings
Pages	4313-4317
Number of pages	5
ISBN (Electronic)	9781665405409
DOIs	https://doi.org/10.1109/ICASSP43922.2022.9747350
State	Published - 2022
Event	47th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Hybrid, Singapore Duration: May 23 2022 → May 27 2022

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2022-May
ISSN (Print)	1520-6149

Conference

Conference	47th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022
Country/Territory	Singapore
City	Hybrid
Period	5/23/22 → 5/27/22

Bibliographical note

Publisher Copyright:
© 2022 IEEE

Keywords

Divergence
Imbalanced classification
Information theoretic learning
Kernel methods
Subsampling

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP43922.2022.9747350

Cite this

Osorio, J. K. H., Skean, O., Brockmeier, A. J., & Giraldo, L. G. S. (2022). THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE. In 2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings (pp. 4313-4317). (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2022-May). https://doi.org/10.1109/ICASSP43922.2022.9747350

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note = "Publisher Copyright: {\textcopyright} 2022 IEEE; 47th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 ; Conference date: 23-05-2022 Through 27-05-2022",

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doi = "10.1109/ICASSP43922.2022.9747350",

language = "English",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

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Osorio, JKH, Skean, O, Brockmeier, AJ & Giraldo, LGS 2022, THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE. in 2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2022-May, pp. 4313-4317, 47th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022, Hybrid, Singapore, 5/23/22. https://doi.org/10.1109/ICASSP43922.2022.9747350

THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE. / Osorio, Jhoan Keider Hoyos; Skean, Oscar; Brockmeier, Austin J. et al.
2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings. 2022. p. 4313-4317 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2022-May).

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

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THE REPRESENTATION JENSEN-RÉNYI DIVERGENCE

Abstract

Publication series

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Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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