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(Neural Computation. 2003;15:2419-2455.)
© 2003 The MIT Press

Letter

Parameter Estimation of Sigmoid Superpositions: Dynamical System Approach

Ivan Tyukin

tyukinivan{at}brain.riken.go.jp, Laboratory for Perceptual Dynamics, RIKEN Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan

Cees van Leeuwen

ceesvl{at}brain.riken.go.jp, Laboratory for Perceptual Dynamics, RIKEN Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan

Danil Prokhorov

dprokhor{at}ford.com, Ford Research Laboratory, Dearborn, MI 48121, U.S.A.

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.






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