6 papers
Coupled dynamics of sequence selection and compactification in mean-field hetero-polymers
H. Chakravorty, A. C. C. Coolen, D. Sherrington
We study a simple solvable model describing the genesis of monomer sequences for hetero-polymers (such as proteins), as the result of the equilibration of a slow stochastic genetic…
Statistical Mechanics of Recurrent Neural Networks II. Dynamics
A. C. C. Coolen
A lecture notes style review of the non-equilibrium statistical mechanics of recurrent neural networks with discrete and continuous neurons (e.g. Ising, graded-response, coupled-os…
Statistical Mechanics of Recurrent Neural Networks I. Statics
A. C. C. Coolen
A lecture notes style review of the equilibrium statistical mechanics of recurrent neural networks with discrete and continuous neurons (e.g. Ising, coupled-oscillators). To be pub…
Dynamics of Learning with Restricted Training Sets II: Tests and Applications
A. C. C. Coolen, D. Saad
We apply a general theory describing the dynamics of supervised learning in layered neural networks in the regime where the size p of the training set is proportional to the number…
On-Line Learning with Restricted Training Sets: An Exactly Solvable Case
H. C. Rae, P. Sollich, A. C. C. Coolen
We solve the dynamics of on-line Hebbian learning in large perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We cons…
Macrodynamics of Disordered and Frustrated Systems
D. Sherrington, A. C. C. Coolen, S. N. Laughton
It is shown how the macroscopic non-equilibrium dynamics of a class of systems whose microscopic stochastic dynamics involves disordered and frustrated but range-free interactions…