The high-order Boltzmann machine: learned distribution and topology.
In this paper we give a formal definition of the high-order Boltzmann machine (BM), and extend the well-known results on the convergence of the learning algorithm of the two-order BM. From the Bahadur-Lazarsfeld expansion we characterize the probability distribution learned by the high order BM. Likewise a criterion is given to establish the topology of the BM depending on the significant correlations of the particular probability distribution to be learned.
Albizuri
F X
FX
Dept. of Comput. Sci. and Artificial Intelligence, Univ. of the Basque Country, San Sebastian.
Danjou
A
A
Grana
M
M
Torrealdea
J
J
Hernandez
M C
MC