Variable Selection and Peaksigmoid: Difference between pages

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imported>Jeremy
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imported>Mathias
 
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:[[calibsel]] - Statistical procedure for variable selection.
===Purpose===
:[[fullsearch]] - Exhaustive Search Algorithm for small problems.
Outputs a sigmoid function.
:[[gaselctr]] - Genetic algorithm for variable selection with PLS.
 
:[[genalg]] - Genetic Algorithm for Variable Selection.
 
:[[genalgplot]] - Plot GA results using selected variable plot, color-coded by RMSECV.
===Synopsis===
:[[ipls]] - Interval PLS variable selection.
 
   
:[y,y1,y2] = peaksigmoid(x,ax)
(Sub topic of [[Categorical_Index|Categorical_Index]])
 
 
===Inputs===
 
* '''x''' =  3 element vector where
:* x(1) = coefficient
:* x(2) = offset
:* x(3) = decay constant
 
===Outputs===
 
 
 
 
<math>\sqrt{1-e^2}</math>
 
<math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {{x}_{4}}{{\operatorname{e}}^{\frac{-4\ln \left( 2 \right){{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}}{x_{3}^{2}}}}+\left( 1-{{x}_{4}} \right)\left[ \frac{x_{3}^{2}}{{{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}+x_{3}^{2}} \right] \right]</math>
 
 
<math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {{x}_{4}}{{\operatorname{e}}^{\frac{-4\ln \left( 2 \right){{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}}{x_{3}^{2}}}}+\left( 1-{{x}_{4}} \right)\left[ \frac{1-x_{3}^{2}}{{{\left( {1}+{{x}_{2}} \right)}^{2}}+x_{3}^{2}} \right] \right]</math>
 
 
 
<math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {}+\left( 1-{{x}_{4}} \right)\left[ \frac{1-x_{3}^{2}}{{{\left( \right)}+x_{3}^{2}} \right] \right]</math>
 
* '''y(1) ''' =
 
* '''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>

Revision as of 11:37, 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



Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {}+\left( 1-{{x}_{4}} \right)\left[ \frac{1-x_{3}^{2}}{{{\left( \right)}+x_{3}^{2}} \right] \right]}

  • y(1) =
  • y(2) =
  • y(3) =