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A sigmoid function is a mathematical function having a characteristic "S"-shaped curve or sigmoid curve. A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: Other standard sigmoid functions are given in the Examples section. In some fields, most notably in the context of artificial neural networks, the term "sigmoid function" is used as an alias for the logistic function.

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rdfs:label	Sigmoid function (en)
rdfs:comment	A sigmoid function is a mathematical function having a characteristic "S"-shaped curve or sigmoid curve. A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: Other standard sigmoid functions are given in the Examples section. In some fields, most notably in the context of artificial neural networks, the term "sigmoid function" is used as an alias for the logistic function. (en)
sameAs	S Curve S Curve
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_web dbt:Clear dbt:Commons_category dbt:Div_col dbt:Div_col_end dbt:Reflist dbt:Short_description dbt:Differentiable_computing
Subject	Artificial neural networks Elementary special functions
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Sigmoid_function?oldid=1061820043&ns=0
Wikipage page ID	87210 (xsd:integer)
page length (characters) of wiki page	9327 (xsd:nonNegativeInteger)
Wikipage revision ID	1061820043 (xsd:integer)
has abstract	A sigmoid function is a mathematical function having a characteristic "S"-shaped curve or sigmoid curve. A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: Other standard sigmoid functions are given in the Examples section. In some fields, most notably in the context of artificial neural networks, the term "sigmoid function" is used as an alias for the logistic function. Special cases of the sigmoid function include the Gompertz curve (used in modeling systems that saturate at large values of x) and the ogee curve (used in the spillway of some dams). Sigmoid functions have domain of all real numbers, with return (response) value commonly monotonically increasing but could be decreasing. Sigmoid functions most often show a return value (y axis) in the range 0 to 1. Another commonly used range is from −1 to 1. A wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial neurons. Sigmoid curves are also common in statistics as cumulative distribution functions (which go from 0 to 1), such as the integrals of the logistic density, the normal density, and Student's t probability density functions. The logistic sigmoid function is invertible, and its inverse is the logit function. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Sigmoid_function
is rdfs:seeAlso of	Artificial neuron
is Wikipage redirect of	S-shape curve S-shaped S-shaped curve Sigmoid-shape Sigmoid-shaped Sigmoid curve Sigmoid shape Sigmoid shaped Sigmoidal curve Sigmoidal function Sigmoids S-curve (math) Double sigmoid Double sigmoid curve Squashing function
is Link from a Wikipage to another Wikipage of	Logistic distribution Logistic function Logistic regression Logit Magnetochemistry Normalization (image processing) ADALINE Absolute threshold of hearing Activation function Acute respiratory distress syndrome Adaptive neuro fuzzy inference system AlexNet Allosteric enzyme Amyloid An Essay on the Principle of Population Angle-resolved photoemission spectroscopy Aquatic toxicology Artificial neuron Autocatalysis Autoencoder Autoxidation Babylonian mathematics Backpropagation Baryonyx Beet leafhopper Bell shaped function Binding site Biological neuron model Bohr effect Bonacynodon Monod-Wyman-Changeux model Carrying capacity Catalytic converter Generalised logistic function George Cybenko Giganotosaurus Goldbeter–Koshland kinetics Dianopachysaurus Differentiable neural computer Diffusion of innovations Dilophosaurus Dongusuchus Dose–response relationship Downhill folding Hill equation (biochemistry) Metcalfe's law Naive Bayes classifier Ogee Challenge hypothesis Crown-of-thorns starfish Curve fitting Dawn simulation Deep belief network Deep learning Hyperbolastic functions Hyperbolic functions Compartmental neuron models Compositional pattern-producing network Convolutional neural network Cooperativity Coronal mass ejection Dynamic causal modeling EC50

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