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Jensen-Shannon divergence and Hilbert space embedding
Abstract
This paper describes the Jensen-Shannon divergence (JSD) and Hilbert space embedding. With natural definitions making these considerations precise, one finds that the general Jensen-Shannon divergence related to the mixture is the minimum redundancy, which can be achieved by the observer. The set of distributions with the metric /spl radic/JSD can even be embedded isometrically into Hilbert space and the embedding can be identified.
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Cited by
Trapnell, C., Williams, B. A., Pertea, G., Mortazavi, A., Kwan, G., van Baren, M. J., Salzberg, S. L., Wold, B. J., & Pachter, L. (2010) · Nature Biotechnology · doi:10.1038/nbt.1621 · Cited by 15,556
On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
Nielsen, F. (2019) · Entropy · doi:10.3390/e21050485 · Cited by 257
A Systematic Approach to Identify Candidate Transcription Factors that Control Cell Identity
D’Alessio, A. C., Fan, Z. P., Wert, K. J., Baranov, P., Cohen, M. A., Saini, J. S., Cohick, E., Charniga, C., Dadon, D., Hannett, N. M., et al. (2015) · Stem Cell Reports · doi:10.1016/j.stemcr.2015.09.016 · Cited by 172
Automatic bearing fault diagnosis using particle swarm clustering and hidden Markov model
Yuwono, M., Qin, Y., Zhou, J., Guo, Y., Celler, B. G., & Su, S. W. (2016) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2015.03.007 · Cited by 88
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Luo, Y.-F., Sun, W., & Rumshisky, A. (2019) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2019.103132 · Cited by 62
Metadata
- Authors
- Fuglede, B., & Topsoe, F.
- Venue
- International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.
- Publisher
- IEEE
- Published
- 2004-12-23
- Pages
- 30-30
- OpenAlex
- W2105767494
- Cited by
- 612
- References
- 0
- FWCI
- 9.38
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Fuglede, B., & Topsoe, F. (2004). Jensen-Shannon divergence and Hilbert space embedding. International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings. https://doi.org/10.1109/isit.2004.1365067
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