6 papers
Vector-Neuron Models of Associative Memory
B. V. Kryzhanovsky, L. B. Litinskii, A. L. Mikaelian
We consider two models of Hopfield-like associative memory with -valued neurons: Potts-glass neural network (PGNN) and parametrical neural network (PNN). In these models neurons…
Some rigorous results for the Hopfield Model
L. B. Litinskii
For the Hopfield model with the Hebb connection matrix we investigate the case of memorized patterns that are distorted copies of the same {\it standard}. In other words, we tr…
On the problem of neural network decomposition into some subnets
Leonid B. Litinskii
An artificial neural network is usually treated as a whole system, being characterized by its ground state (the global minimum of the energy functional), the set of fixed points, t…
Generalization in the Hopfield Model
Leonid B. Litinskii
In the Hopfield model the ability of the network to generalization is studied in the case of the network trained by one input image ({\it the standard}).
Energy Functional and Fixed Points of a Neural Networks
Leonid B. Litinskii
It turned out that the set of the fixed points is not necessarily the same as the set of the local minima of the energy functional. It depends on the diagonal elements of the conne…
Fixed points of Hopfield type neural networks
Leonid B. Litinskii
The set of the fixed points of the Hopfield type network is under investigation. The connection matrix of the network is constructed according the Hebb rule from the set of memoriz…