A Bayesian Analysis of Self-Organizing Maps

@article{Luttrell1994ABA,
  title={A Bayesian Analysis of Self-Organizing Maps},
  author={Stephen P. Luttrell},
  journal={Neural Computation},
  year={1994},
  volume={6},
  pages={767-794}
}
In this paper Bayesian methods are used to analyze some of the properties of a special type of Markov chain. The forward transitions through the chain are followed by inverse transitions (using Bayes' theorem) backward through a copy of the same chain; this will be called a folded Markov chain. If an appropriately defined Euclidean error (between the original input and its reconstruction via Bayes' theorem) is minimized with respect to the choice of Markov chain transition probabilities, then… CONTINUE READING
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