Cluster associative memory formation in a three-layer network of phase oscillators |
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Authors: | A Yu Simonov A S Pimashkin V B Kazantsev |
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Institution: | 1.Lobachevskii State University of Nizhny Novgorod,Nizhny Novgorod,Russia;2.Institute of Applied Physics,Russian Academy of Sciences,Nizhny Novgorod,Russia |
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Abstract: | A three-layer network model of oscillatory associative memory is proposed. The network is capable of storing binary images,
which can be retrieved upon presenting an appropriate stimulus. Binary images are encoded in the form of the spatial distribution
of oscillatory phase clusters in-phase and anti-phase relative to a reference periodic signal. The information is loaded into
the network using a set of interlayer connection weights. A condition for error-free pattern retrieval is formulated, delimiting
the maximal number of patterns to be stored in the memory (storage capacity). It is shown that the capacity can be significantly
increased by generating an optimal alphabet (basis pattern set). The number of stored patterns can reach values of the network
size (the number of oscillators in each layer), which is significantly higher than the capacity of conventional oscillatory
memory models. The dynamical and information characteristics of the retrieval process based on the optimal alphabet, including
the size of “attraction basins“ and the input pattern distortion admissible for error-free retrieval, are investigated. |
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