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  2. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function , which is defined by the formula: [ 1 ]

  3. File:Logistic-curve.svg - Wikipedia

    en.wikipedia.org/wiki/File:Logistic-curve.svg

    Created with gnuplot using the following input file: set terminal svg font "Bitstream Vera Sans,18" size 600,400 set output "Logistic-curve.svg" set xrange [-6:6] set xzeroaxis linetype -1 set yzeroaxis linetype -1 set xtics axis nomirror set ytics axis nomirror 0,0.5,1 set key off set grid set border 1 set samples 400 plot exp(x)/(1 + exp(x)) with line linetype rgbcolor "orange" linewidth 2

  4. Logistic function - Wikipedia

    en.wikipedia.org/wiki/Logistic_function

    The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.

  5. File:Gjl-t (x).svg - Wikipedia

    en.wikipedia.org/wiki/File:Gjl-t(x).svg

    This vector image includes elements that have been taken or adapted from this file: ... Sigmoid function; Global file usage. The following other wikis use this file:

  6. Logistic regression - Wikipedia

    en.wikipedia.org/wiki/Logistic_regression

    The logistic function is a sigmoid function, which takes any real input , and outputs a value between zero and one. [2] For the logit, this is interpreted as taking input log-odds and having output probability. The standard logistic function : (,) is defined as follows:

  7. Activation function - Wikipedia

    en.wikipedia.org/wiki/Activation_function

    The activation function of a node in an artificial neural network is a function that ... Sigmoid linear unit (SiLU, [2] ... An image of the ELiSH activation function ...

  8. Generalised logistic function - Wikipedia

    en.wikipedia.org/wiki/Generalised_logistic_function

    The generalized logistic function or curve is an extension of the logistic or sigmoid functions. Originally developed for growth modelling, it allows for more flexible S-shaped curves. The function is sometimes named Richards's curve after F. J. Richards, who proposed the general form for the family of models in 1959.

  9. Curve fitting - Wikipedia

    en.wikipedia.org/wiki/Curve_fitting

    In biology, ecology, demography, epidemiology, and many other disciplines, the growth of a population, the spread of infectious disease, etc. can be fitted using the logistic function. In agriculture the inverted logistic sigmoid function (S-curve) is used to describe the relation between crop yield and growth factors. The blue figure was made ...