External fields in attractor neural networks with different learning rules

The effects of external fields on the retrieval properties of highly dilute attractor neural networks with general classes of learning rules are examined. It can be shown that external fields increase basins of attraction making even perfect retrieval possible for relatively high loading. The application of different classes of noise distributions on the stimulus field indicates that certain first-order transitions occurring are peculiarities of the type of noise. Optimally adapted networks in the presence of external fields extend the critical loading above which perfect retrieval is impossible. In the presence of external fields in the high-temperature regime, Hebb networks also retrieve better than rules with more optimal performances at low temperatures.

[1]  I. Guyon,et al.  Information storage and retrieval in spin-glass like neural networks , 1985 .

[2]  Optimally adapted attractor neural networks in the presence of noise , 1990 .

[3]  Thomas B. Kepler,et al.  Universality in the space of interactions for network models , 1989 .

[4]  E. Gardner,et al.  An Exactly Solvable Asymmetric Neural Network Model , 1987 .

[5]  E. Gardner,et al.  Optimal basins of attraction in randomly sparse neural network models , 1989 .

[6]  Daniel J. Amit,et al.  Neural potentials as stimuli for attractor neural networks , 1990 .

[7]  K Y M Wong,et al.  Training noise adaptation in attractor neural networks , 1990 .

[8]  D. Amit,et al.  Retrieval phase diagrams for attractor neural networks with optimal interactions , 1990 .

[9]  D. Sherrington,et al.  Retrieval Enhancement Due to External Stimuli in Dilute Neural Networks , 1990 .

[10]  Bouten,et al.  Enlarged basin of attraction in neural networks with persistent stimuli. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[11]  Thomas B. Kepler,et al.  Domains of attraction in neural networks , 1988 .

[12]  Marc Mézard,et al.  The roles of stability and symmetry in the dynamics of neural networks , 1988 .

[13]  E. Gardner,et al.  Zero temperature parallel dynamics for infinite range spin glasses and neural networks , 1987 .

[14]  Kanter,et al.  Associative recall of memory without errors. , 1987, Physical review. A, General physics.

[15]  Andreas Engel,et al.  Improved retrieval in neural networks with external fields , 1989 .