The Ornstein–Uhlenbeck neuronal model is investigated under the assumption that the amplitude of the noise is signal dependent. A linear approximation of the input–output transfer function is developed. Different types of dependencies of the noise on the signal are considered. The conditions are presented under which a substantial difference between transfer functions with constant and signal-dependent noise appears. An example for which the transfer function yields contra-intuitive behavior is presented.
The Ornstein-Uhlenbeck neuronal model with signal-dependent noise.
SACERDOTE, Laura Lea;
2001-01-01
Abstract
The Ornstein–Uhlenbeck neuronal model is investigated under the assumption that the amplitude of the noise is signal dependent. A linear approximation of the input–output transfer function is developed. Different types of dependencies of the noise on the signal are considered. The conditions are presented under which a substantial difference between transfer functions with constant and signal-dependent noise appears. An example for which the transfer function yields contra-intuitive behavior is presented.
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