Mikhail Kryzhanovsky

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Probability of neuronal spike initiation was considered within the framework of a simple stochastic model. The time of spike occurrence was defined as the first time of crossing of a stochastic process and a determined time function. This problem has been investigated in the case of a stationary Gaussian stochastic process and a linear time function. An(More)
The paper treats the issue of pattern recognition training in terms of Hopfield associative memory (HAM). The conventional randomization technique is used to determine the exponential extremity of HAM recognition error. The extremity exponent is considered as a function of the training process. In training, the exponent is shown to rise from (1-2p) 4 to(More)
The capability of discretization of matrix elements in the problem of quadratic functional minimization with linear member built on matrix in N-dimensional configuration space with discrete coordinates is researched. It is shown, that optimal procedure of replacement matrix elements by the integer quantities with the limited number of gradations exist, and(More)
The paper treats the issue of pattern recognition training in terms of Hopfield associative memory (HAM). The conventional randomization technique is used to determine the exponential extremity of HAM recognition error. The extremity exponent is considered as a function of the training process. In training, the exponent is shown to rise from (1-2p) 4 to(More)
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