Gradient descent training of Bayesian networks

Abstract

As shown by Russel et al., 1995 [7], Bayesian networks can be equipped with a gradient descent learning method similar to the training method for neural networks. The calculation of the required gradients can be performed locally along with propagation. We review how this can be done, and we show how the gradient descent approach can be used for various tasks like tuning and training with training sets of denite as well as non-denite classications. We introduce tools for resistance and damping to guide the direction of convergence, and we use them for a new adaptation method which can also handle situations where parameters in the network covary.