most citedGenerating Functional Analysis of the Dynamics of the Batch Minority Game with Random External Information

70 citations · 168 across the 5 of their papers we have counts for

collaborators

6 papers

cond-mat.dis-nn2001★ 28 cited

Broken ergodicity and memory in the minority game

J. A. F. Heimel, A. De Martino

We study the dynamics of the `batch' minority game with market-impact correction using generating functional techniques to carry out the quenched disorder average. We find that the…

cond-mat.dis-nn2001★ 29 cited

Dynamical Solution of the On-Line Minority Game

A C C Coolen, J A F Heimel

We solve the dynamics of the on-line minority game, with general types of decision noise, using generating functional techniques a la De Dominicis and the temporal regularization p…

cond-mat.dis-nn2001★ 36 cited

Dynamics of the Batch Minority Game with Inhomogeneous Decision Noise

A. C. C. Coolen, J. A. F. Heimel, D. Sherrington

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicativ…

cond-mat.dis-nn2001★ 5 cited

Supervised Learning with Restricted Training Sets: a Generating Functional Analysis

J. A. F. Heimel, A. C. C. Coolen

We study the dynamics of supervised on-line learning of realizable tasks in feed-forward neural networks. We focus on the regime where the number of examples used for training is p…

cond-mat.dis-nn2000★ 70 cited

Generating Functional Analysis of the Dynamics of the Batch Minority Game with Random External Information

J. A. F. Heimel, A. C. C. Coolen

We study the dynamics of the batch minority game, with random external information, using generating functional techniques a la De Dominicis. The relevant control parameter in this…

cond-mat.dis-nn2000

Non-Deterministic Learning Dynamics in Large Neural Networks due to Structural Data Bias

H. C. Rae, J. A. F. Heimel, A. C. C. Coolen

We study the dynamics of on-line learning in large perceptrons, for the case of training sets with a structural bias of the input vectors, by deriving exact and closed macroscopic…