Peaksigmoid: Difference between revisions
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* '''y(1) ''' = <math> {{x}_{1}} \left( \frac{1-{{\operatorname{e}}^{-z}}}{{ 1 }+{{\operatorname{e}}^{-z}}} \right)</math> | * '''y(1) ''' = <math> {{x}_{1}} \left( \frac{1-{{\operatorname{e}}^{-z}}}{{ 1 }+{{\operatorname{e}}^{-z}}} \right)</math> | ||
where z = <math> {x}_{3}\left(ax -{x}_{2} \right)</math> | |||
* '''y(2) ''' = <math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math> | * '''y(2) ''' = <math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math> | ||
* ''' y(3) ''' = <math>{\operatorname{d^2}\!y\over\operatorname{d}\!{{x}_{i}}^{2}}</math> | * ''' y(3) ''' = <math>{\operatorname{d^2}\!y\over\operatorname{d}\!{{x}_{i}}^{2}}</math> | ||
Revision as of 12:01, 4 August 2016
Purpose
Outputs a sigmoid function.
Synopsis
- [y,y1,y2] = peaksigmoid(x,ax)
Inputs
- x = 3 element vector where
- x(1) = coefficient
- x(2) = offset
- x(3) = decay constant
Outputs
- y(1) =
where z =
- y(2) =
- y(3) =
