title: Maximum-entropy approximations of stochastic nonlinear transductions: an extension of the Wiener theory.
abstract: We consider the description of a nonlinear stochastic transduction in terms of its input/output distribution. We construct a sequence of approximating maximum-entropy estimates from a finite set of input/output observations. This procedure extends the Wiener theory to the analysis of nonlinear stochastic transducers and to the analysis of transducers with multiple outputs but an inaccessible input.
mesh_terms: D000818:Animals; D002490:Central Nervous System / Q000502:physiology*; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013269:Stochastic Processes; D013816:Thermodynamics