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Do Baysian statistics, Kalman filters and convolutioal neural networks share underlying principles?

I've forgotten how a simple neural network works.

.@holden on Twitter: "Excellent! @cogdog gearing up for happening-ish thing in one of my favorite research subjects -- neurobunk. http://cogdogblog.com/2015/07/04/60000-times-faster-fedwiki-cards/" https://twitter.com/holden/status/617360548389216256

"The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks. " Collective dynamics of /`small-world/' networks : Abstract : Nature http://www.nature.com/nature/journal/v393/n6684/abs/393440a0.html