• Thumbnail for Logistic function
    A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...
    56 KB (8,056 words) - 08:59, 4 April 2025
  • Thumbnail for 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...
    6 KB (979 words) - 21:08, 21 June 2024
  • Thumbnail for Sigmoid function
    S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function, which is defined by the formula σ ( x ) = 1 1 + e − x = e x 1 + e...
    16 KB (2,087 words) - 22:12, 2 April 2025
  • Thumbnail for Logistic distribution
    statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears...
    13 KB (1,789 words) - 17:39, 17 March 2025
  • Thumbnail for Logit
    Logit (redirect from Logistic transform)
    statistics, the logit (/ˈloʊdʒɪt/ LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in data...
    12 KB (1,499 words) - 20:13, 27 February 2025
  • Thumbnail for Logistic regression
    the value "1"), hence the labeling; the function that converts log-odds to probability is the logistic function, hence the name. The unit of measurement...
    127 KB (20,645 words) - 05:20, 16 April 2025
  • generalization of the logistic function to multiple dimensions, and is used in multinomial logistic regression. The softmax function is often used as the...
    33 KB (5,279 words) - 05:31, 30 April 2025
  • Thumbnail for Logistic map
    The logistic map is a discrete dynamical system defined by the quadratic difference equation: Equivalently it is a recurrence relation and a polynomial...
    145 KB (18,832 words) - 13:10, 27 April 2025
  • function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function. The function was...
    21 KB (3,154 words) - 08:30, 13 August 2024
  • Thumbnail for Logit-normal distribution
    random variable with a normal distribution, and t is the standard logistic function, then X = t(Y) has a logit-normal distribution; likewise, if X is...
    12 KB (1,702 words) - 02:03, 18 November 2024
  • Thumbnail for Activation function
    a few nodes if the activation function is nonlinear. Modern activation functions include the logistic (sigmoid) function used in the 2012 speech recognition...
    25 KB (1,960 words) - 05:35, 26 April 2025
  • Thumbnail for Softplus
    Softplus (category Logistic regression)
    is the logistic function: f ′ ( x ) = e x 1 + e x = 1 1 + e − x {\displaystyle f'(x)={\frac {e^{x}}{1+e^{x}}}={\frac {1}{1+e^{-x}}}} The logistic sigmoid...
    5 KB (701 words) - 11:43, 7 October 2024
  • Look up logistic in Wiktionary, the free dictionary. Logistic may refer to: Logistic function, a sigmoid function used in many fields Logistic map, a recurrence...
    904 bytes (139 words) - 21:44, 17 November 2018
  • Thumbnail for Heaviside step function
    chemical signals. For a smooth approximation to the step function, one can use the logistic function H ( x ) ≈ 1 2 + 1 2 tanh ⁡ k x = 1 1 + e − 2 k x , {\displaystyle...
    14 KB (2,157 words) - 22:18, 25 April 2025
  • Thumbnail for Rectifier (neural networks)
    Prior to 2010, most activation functions used were the logistic sigmoid (which is inspired by probability theory; see logistic regression) and its more numerically...
    21 KB (2,794 words) - 04:18, 27 April 2025
  • Logistic equation can refer to: Logistic function, a common S-shaped equation and curve with applications in a wide range of fields. Logistic map, a nonlinear...
    547 bytes (96 words) - 01:14, 13 February 2025
  • Logistic model may refer to: Logistic function – a continuous sigmoidal curve Logistic map – a discrete version, which exhibits chaotic behavior Logistic...
    212 bytes (54 words) - 06:41, 29 December 2019
  • In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more than...
    31 KB (5,245 words) - 12:07, 3 March 2025
  • Thumbnail for JAX (software)
    obtain the gradient function of the logistic function grad_logistic = grad(logistic) # evaluate the gradient of the logistic function at x = 1 grad_log_out...
    9 KB (784 words) - 00:47, 25 April 2025
  • while for the hidden layers this was traditionally a sigmoid function (logistic function or others) on each node (coordinate), but today is more varied...
    56 KB (7,993 words) - 09:47, 17 April 2025
  • distribution, type IV may be referred to as the logistic-beta distribution, with reference to the standard logistic function, which is the inverse of the logit transform...
    19 KB (3,526 words) - 13:06, 14 December 2024
  • Thumbnail for Binary entropy function
    logit, whose inverse function is the logistic function, which is the derivative of softplus. Softplus can be interpreted as logistic loss, so by duality...
    6 KB (1,071 words) - 05:06, 1 July 2024
  • Thumbnail for Pierre François Verhulst
    in 1825. He is best known for the logistic growth model. [citation needed] Verhulst developed the logistic function in a series of three papers between...
    5 KB (610 words) - 07:54, 20 March 2025
  • Thumbnail for Bell-shaped function
    }}\end{cases}}} Most of the window functions like the Kaiser window The derivative of the logistic function. This is a scaled version of the derivative...
    4 KB (505 words) - 18:00, 18 December 2023
  • Cross-entropy (category Loss functions)
    for classifying the observation. In logistic regression, the probability is modeled using the logistic function g ( z ) = 1 / ( 1 + e − z ) {\displaystyle...
    19 KB (3,264 words) - 23:00, 21 April 2025
  • Thumbnail for STAR model
    popular transition function include exponential function and first and second-order logistic functions. They give rise to Logistic STAR (LSTAR) and Exponential...
    7 KB (1,052 words) - 21:30, 8 January 2024
  • logistic function, the Gompertz function, and a simple modified exponential function like y = a + begx. Exponential growth Gompertz function Logistic...
    1 KB (126 words) - 07:54, 25 November 2023
  • Thumbnail for Log-logistic distribution
    In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for...
    19 KB (2,053 words) - 09:15, 4 October 2024
  • effect of carrying capacity on population dynamics is modelled with a logistic function. Carrying capacity is applied to the maximum population an environment...
    56 KB (6,653 words) - 02:12, 29 April 2025
  • the function g to a value inside the range 0 to 1. In the case of logistic regression, the link function is the log of the odds ratio or logistic function...
    14 KB (2,055 words) - 17:53, 26 January 2024