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 ) ...

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(...

RealSoftMax or multivariable softplus) function is a smooth maximum – a smooth approximation to the maximum function, mainly used by machine learning algorithms...

"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...

In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...

"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...

address these issues, Joel Horowitz proposed a variant, called the smoothed maximum score estimator. When modelling discrete choice problems, it is assumed...

maximum or minimum. The log semiring has applications in mathematical optimization, since it replaces the non-smooth maximum and minimum by a smooth operation...

linear subtraction. The LogSumExp function is a smooth maximum: a smooth approximation to the maximum function. The following properties hold for M f...

thermal maximum (PETM), alternatively ”Eocene thermal maximum 1 (ETM1)“ and formerly known as the "Initial Eocene" or “Late Paleocene thermal maximum", was...