Encyclopedia of Machine Learning

2010 Edition
| Editors: Claude Sammut, Geoffrey I. Webb

Bayes Rule

  • Geoffrey I. Webb
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-30164-8_62

Definition

Bayes rule provides a decomposition of a conditional probability that is frequently used in a family of learning techniques collectively called Bayesian Learning. Bayes rule is the equality
$$\mathrm{P}(z\,\vert \,w) = \frac{\mathrm{P}(z)\mathrm{P}(w\,\vert \,z)} {\mathrm{P}(w)}$$
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Geoffrey I. Webb

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