A vector model of associative memory with clipped synapses

The influence of a clipping procedure on the properties of vector associative memory is investigated. The analysis is performed for the particular case of a phase model of a parametric neural network with 2q-state neurons. The critical network size N _c is found. It is shown that, for small network sizes (N < N _c ), the clipping leads to an increase of the storage capacity and enhances the network ability to retrieve strongly distorted patterns. Clipping of bigger networks (N > N _c ) leads to a deterioration of the recognition ability and reduces the storage capacity. Boris Vladimirovich Kryzhanovsky was born in 1950 in Yasnaya Polyana in the Tula region of Russia and graduated (with an M.Sc.) from Yerevan State University in 1971. He received his Ph.D. (Optics) in 1981 and his D.Sc. (Laser Physics) in 1991. At the present time, he is the director of the Center for Optical Neural Technologies of the Scientific Research Institute for Systems Analysis of the Russian Academy of Sciences. His research interests include neural networks. He is a corresponding member of the Russian Academy of Sciences and the author of over 200 research publications. Vladimir Mikhailovich Kryzhanovsky was born in 1984 in Kirovakan, Armenia and graduated (with an M.Sc.) from the Moscow Engineering Physics Institute in 2007. At the present time, he is a junior research assistant at the Center for Optical Neural Technologies of the Scientific Research Institute for Systems Analysis of the Russian Academy of Sciences. His research interests include Neural Networks, and he is the author of over 20 research publications. Dina Igorevna Simkina was born 1981 in Buinaksk in Dagestan, Russia and graduated (with an M.Sc.) from Dagestan State University in 2003. At the present time, she is a junior research assistant at the Center for Optical Neural Technologies of the Scientific Research Institute for Systems Analysis of the Russian Academy of Sciences. Her research interests include neural networks, and she is the author of over 20 research publications.