Golden, R. M. (1986).
The "Brain-State-in-a-Box" neural model is a gradient descent algorithm.
Journal of Mathematical Psychology, 30,
73-80.
ABSTRACT
The Brain-State-in-a-Box (BSB) neural model is a pattern categorization device
inspired by neurophysiological considerations. This model has additionally been
applied to a fairly diverse range of psychological phenomena. In this paper,
the BSB model is demonstrated to be a deterministic constrained gradient descent
algorithm that minimizes a quadratic cost function. A formal proof that all
trajectories of the BSB algorithm in state vector space approach the set of
system equilibrium points, under certain specific conditions, is presented.
Some conditions regarding the existence of global energy minima are also briefly
discussed.
Golden's Neural Network Publications List