Sigmoid function

English

A sigmoid function

Noun

1. Template:Lb Any of various real functions whose graph resembles an elongated letter "S"; specifically, the logistic function $y=\frac{e^x}{e^x+1}=\frac{1}{1+e^{-x}}$.
   • 1995, Jun Han, Claudio Moraga, The Influence of the Sigmoid Function Parameters on the Speed of Backpropagation Learning, José Mira, Francisco Sandoval (editors), From Natural to Artificial Neural Computation: International Workshop on Artificial Neural Networks, Proceedings, Springer, Template:W 930, page 195,

     [The] [s]igmoid function is the most commonly known function used in feed forward neural networks because of its nonlinearity and the computational simplicity of its derivative.

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   • 2016, Roumen Anguelov, Svetoslav Markov, Hausdorff Continuous Interval Functions and Applications, Marco Nehmeier, Jürgen Wolff von Gudenberg, Warwick Tucker (editors), Scientific Computing, Computer Arithmetic, and Validated Numerics: 16th International Symposium, SCAN 2014, Springer, Template:W 9553, page 10,

     Sigmoid functions find multiple applications to neural networks and cell growth population models [14,20]. A sigmoid function on $ℝ$ with a range $[a,b]$ is defined as a monotone function $s(t):ℝ\to [a,b]$ such that $\underset{t\to -\mathrm{\infty }}{\lim }s(t)=a$, and $\underset{t\to \mathrm{\infty }}{\lim }s(t)=b$.

Synonyms

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Translations

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See also

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Further reading

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• Sigmoid Function on Template:W