Work related to that reported in CRG-TR-92-1, on ``Bayesian training of backpropagation networks by the hybrid Monte Carlo method'' appeared in the following conference paper: Neal, R. M. (1993) ``Bayesian learning via stochastic dynamics'', in C. L. Giles, S. J. Hanson, and J. D. Cowan (editors), Advances in Neural Information Processing Systems 5, pp. 475-482, San Mateo, California: Morgan Kaufmann. There is substantial material in the technical report not in the conference paper, and vice versa.