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Neural Computation

October 1, 2003, Vol. 15, No. 10, Pages 2419-2455
(doi: 10.1162/089976603322362428)
© 2003 Massachusetts Institute of Technology
Parameter Estimation of Sigmoid Superpositions: Dynamical System Approach
Article PDF (4.54 MB)
Ivan Tyukin
Laboratory for Perceptual Dynamics, RIKEN Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan, tyukinivan@brain.riken.go.jp
Cees van Leeuwen
Laboratory for Perceptual Dynamics, RIKEN Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan, ceesvl@brain.riken.go.jp
Danil Prokhorov
Ford Research Laboratory, Dearborn, MI 48121, U.S.A., dprokhor@ford.com
Abstract

Superposition of sigmoid function over a finite time interval is shown to be equivalent to the linear combination of the solutions of a linearly parameterized system of logistic differential equations. Due to the linearity with respect to the parameters of the system, it is possible to design an effective procedure for parameter adjustment. Stability properties of this procedure are analyzed.