Neural Computation
October 1, 2003, Vol. 15, No. 10, Pages 2419-2455
(doi: 10.1162/089976603322362428)
Parameter Estimation of Sigmoid Superpositions: Dynamical System Approach
Article PDF (4.54 MB)
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.