| allpfvbm {BoltzMM} | R Documentation |
Probability mass function of a fully-visible Boltzmann machine evaluated for all possible vectors.
Description
Compute the probability of all 2^n strings of n>1 binary spin variables (i.e. each element is -1 or 1) arising from a fully-visible Boltzmann machine with some specified bias vector and interaction matrix.
Usage
allpfvbm(bvec, Mmat)
Arguments
bvec |
Vector of length n containing real valued bias parameters. |
Mmat |
Symmetric n by n matrix, with zeros along the diagonal, containing the interaction parameters. |
Value
A vector of the probabilities of all 2^n binary spin vectors under a fully-visible Boltzmann machine with bias vector bvec and interaction matrix Mmat. Probabilities are reported in ascending order of the binary strings; i.e for n=2 the reporting order is (-1,1), (-1,1), (1,-1), and (1,1).
Author(s)
Andrew T. Jones and Hien D. Nguyen
References
H.D. Nguyen and I.A. Wood (2016), Asymptotic normality of the maximum pseudolikelihood estimator for fully-visible Boltzmann machines, IEEE Transactions on Neural Networks and Learning Systems, vol. 27, pp. 897-902.
Examples
# Compute the probability of every length n=3 binary spin vector under bvec and Mmat.
bvec <- c(0,0.5,0.25)
Mmat <- matrix(0.1,3,3) - diag(0.1,3,3)
allpfvbm(bvec,Mmat)