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| Jensen-Shannon Divergens× | Kullback-Leibler-divergens× | |
|---|---|---|
| Fagområde | Beslutningstagning | Beslutningstagning |
| Familie | MCDM | MCDM |
| Oprindelsesår≠ | 1991 | 1951 |
| Ophavsperson≠ | J. Lin | Solomon Kullback and Richard Leibler |
| Type≠ | Symmetric probability distribution dissimilarity | Asymmetric probability distribution dissimilarity |
| Oprindelig kilde≠ | Lin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Transactions on Information Theory, 37(1), 145-151. DOI ↗ | Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22(1), 79-86. DOI ↗ |
| Aliasser | JS divergence, symmetric KL divergence, JS distance | KL divergence, relative entropy, information divergence |
| Relaterede | 2 | 2 |
| Resumé≠ | Jensen-Shannon divergence is a symmetric information-theoretic measure of the difference between two probability distributions. Developed by Jian Lin in 1991 as a refinement to the asymmetric Kullback-Leibler divergence, it overcomes KL's directional limitation by averaging the divergences in both directions. The result is a true metric (satisfying triangle inequality) that ranges from 0 (identical distributions) to 1, making it suitable for symmetric comparison tasks. | Kullback-Leibler divergence, also called relative entropy or information divergence, measures the asymmetric difference between two probability distributions. Introduced by Solomon Kullback and Richard Leibler in 1951, this information-theoretic measure quantifies how one probability distribution diverges from a reference distribution, ranging from 0 (identical distributions) to infinity. It is foundational in information theory, machine learning, and decision-making with probabilistic frameworks. |
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