Information geometry of Boltzmann machines

@article{Amari1992InformationGO,
  title={Information geometry of Boltzmann machines},
  author={Shun-ichi Amari and Koji Kurata and Hiroshi Nagaoka},
  journal={IEEE transactions on neural networks},
  year={1992},
  volume={3 2},
  pages={260-71}
}
A Boltzmann machine is a network of stochastic neurons. The set of all the Boltzmann machines with a fixed topology forms a geometric manifold of high dimension, where modifiable synaptic weights of connections play the role of a coordinate system to specify networks. A learning trajectory, for example, is a curve in this manifold. It is important to study the geometry of the neural manifold, rather than the behavior of a single network, in order to know the capabilities and limitations of… CONTINUE READING

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