Jeffrey's update rule as a minimizer of Kullback-Leibler divergence

Fuente: arXiv
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Autores principales: Pinzón, Carlos, Palamidessi, Catuscia
Formato: Preprint
Publicado: 2025
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author Pinzón, Carlos
Palamidessi, Catuscia
author_facet Pinzón, Carlos
Palamidessi, Catuscia
contents In this paper, we show a more concise and high level proof than the original one, derived by researcher Bart Jacobs, for the following theorem: in the context of Bayesian update rules for learning or updating internal states that produce predictions, the relative entropy between the observations and the predictions is reduced when applying Jeffrey's update rule to update the internal state.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15504
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Jeffrey's update rule as a minimizer of Kullback-Leibler divergence
Pinzón, Carlos
Palamidessi, Catuscia
Machine Learning
Cryptography and Security
In this paper, we show a more concise and high level proof than the original one, derived by researcher Bart Jacobs, for the following theorem: in the context of Bayesian update rules for learning or updating internal states that produce predictions, the relative entropy between the observations and the predictions is reduced when applying Jeffrey's update rule to update the internal state.
title Jeffrey's update rule as a minimizer of Kullback-Leibler divergence
topic Machine Learning
Cryptography and Security
url https://arxiv.org/abs/2502.15504