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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