Title :
Compound binomial processes in neural integration
Author_Institution :
Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man., Canada
fDate :
11/1/2001 12:00:00 AM
Abstract :
Explores some of the properties of stochastic digital signal processing in which the input signals are represented as sequences of Bernoulli events. The event statistics of the resulting stochastic process may be governed by compound binomial processes, depending upon how the individual input variables to a neural network are stochastically multiplexed. Similar doubly stochastic statistics can also result from datasets which are Bernoulli mixtures, depending upon the temporal persistence of the mixture components at the input terminals to the network. The principal contribution of these results is in determining the required integration period of the stochastic signals for a given precision in pulsed digital neural networks
Keywords :
binomial distribution; multiplexing; neural nets; sequences; signal processing; stochastic processes; Bernoulli events; Bernoulli mixtures; compound binomial processes; doubly stochastic statistics; event statistics; integration period; neural integration; pulsed digital neural networks; stochastic digital signal processing; stochastic process; temporal persistence; Artificial neural networks; Digital signal processing; Input variables; Logic gates; Neural networks; Neurons; Random variables; Signal processing; Statistics; Stochastic processes;
Journal_Title :
Neural Networks, IEEE Transactions on