Boltzmann Machine - Structure

Structure

A Boltzmann machine, like a Hopfield network, is a network of units with an "energy" defined for the network. It also has binary units, but unlike Hopfield nets, Boltzmann machine units are stochastic. The global energy, in a Boltzmann machine is identical in form to that of a Hopfield network:

Where:

  • is the connection strength between unit and unit .
  • is the state, of unit .
  • is the threshold of unit .

The connections in a Boltzmann machine have two restrictions:

  • . (No unit has a connection with itself.)
  • . (All connections are symmetric.)

Often the weights are represented in matrix form with a symmetric matrix, with zeros along the diagonal.

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