In mathematics, a smooth maximum of an indexed family x1, ..., xn of numbers is a smooth approximation to the maximum function max ( x 1 , … , x n ) ...
6 KB (1,073 words) - 08:38, 6 July 2023
it often needs to be approximated by a smooth function that is close to the maximum of the set. A smooth maximum, for example, g(x1, x2, …, xn) = log(...
9 KB (1,215 words) - 07:35, 14 July 2024
RealSoftMax or multivariable softplus) function is a smooth maximum – a smooth approximation to the maximum function, mainly used by machine learning algorithms...
7 KB (1,152 words) - 17:21, 23 June 2024
Softmax function (section Smooth arg max)
"softmax" may be misleading. Softmax is not a smooth maximum (that is, a smooth approximation to the maximum function). The term "softmax" is also used for...
30 KB (4,737 words) - 05:00, 9 July 2024
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...
66 KB (9,626 words) - 01:12, 8 July 2024
"Smooth Operator" is a song by English band Sade from their debut studio album, Diamond Life (1984), and was co-written by Sade and Ray St. John. It was...
18 KB (1,513 words) - 10:04, 19 August 2024
address these issues, Joel Horowitz proposed a variant, called the smoothed maximum score estimator. When modelling discrete choice problems, it is assumed...
11 KB (2,033 words) - 22:22, 29 June 2021
maximum or minimum. The log semiring has applications in mathematical optimization, since it replaces the non-smooth maximum and minimum by a smooth operation...
6 KB (1,025 words) - 22:15, 28 March 2023
linear subtraction. The LogSumExp function is a smooth maximum: a smooth approximation to the maximum function. The following properties hold for M f...
10 KB (1,809 words) - 03:13, 28 May 2024
thermal maximum (PETM), alternatively ”Eocene thermal maximum 1 (ETM1)“ and formerly known as the "Initial Eocene" or “Late Paleocene thermal maximum", was...
167 KB (18,289 words) - 08:13, 16 August 2024