Helmholtz machine

The Helmholtz machine (named after Hermann von Helmholtz and his concept of Helmholtz free energy) is a type of artificial neural network that can account for the hidden structure of a set of data by being trained to create a generative model of the original set of data.^[1] The hope is that by learning economical representations of the data, the underlying structure of the generative model should reasonably approximate the hidden structure of the data set. A Helmholtz machine contains two networks, a bottom-up recognition network that takes the data as input and produces a distribution over hidden variables, and a top-down "generative" network that generates values of the hidden variables and the data itself. At the time, Helmholtz machines were one of a handful of learning architectures that used feedback as well as feedforward to ensure quality of learned models.^[2]

Helmholtz machines are usually trained using an unsupervised learning algorithm, such as the wake-sleep algorithm.^[3] They are a precursor to variational autoencoders, which are instead trained using backpropagation. Helmholtz machines may also be used in applications requiring a supervised learning algorithm (e.g. character recognition, or position-invariant recognition of an object within a field).

• Autoencoder
• Boltzmann machine
• Hopfield network
• Restricted Boltzmann machine

• http://www.cs.utoronto.ca/~hinton/helmholtz.html — Hinton's papers on Helmholtz machines
• https://www.nku.edu/~kirby/docs/HelmholtzTutorialKoeln.pdf - A tutorial on Helmholtz machines

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