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...

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

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

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

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

"Smooth Operator" is a song by English band Sade from their debut studio album, Diamond Life (1984), and was co-written by Sade Adu and Ray St. John. It...

Solar maximum is the regular period of greatest solar activity during the Sun's 11-year solar cycle. During solar maximum, large numbers of sunspots appear...

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

{\displaystyle H_{4}(2,4)} converges to 65536 in 2863311767 steps, the maximum depth of recursion is 65534. The computation according to the rules {r6...

The smooth newt, European newt, northern smooth newt or common newt (Lissotriton vulgaris) is a species of newt. It is widespread in Europe and parts...

skeletal muscle, the contractions of smooth and cardiac muscles are myogenic (meaning that they are initiated by the smooth or heart muscle cells themselves...

in April 2020 (± 6 months), and the number of sunspots reaching a (smoothed) maximum of 115 in July 2025 (± 8 months). This prediction is in line with...

The principle of maximum entropy states that the probability distribution which best represents the current state of knowledge about a system is the one...

origin, the function −x2−y2 certainly has a maximum. Let M denote an open subset of Euclidean space. If a smooth function u : M → R {\displaystyle u:M\to...

rock at depths from near the surface to 8 metres (26 ft). It can reach a maximum length of 2.9 centimetres (1.1 in) SL. This species is currently the only...

8–102 metres, usually around rocks. Males can reach a maximum total length of 15 centimetres. The smooth alligatorfish is preyed upon by the Pacific halibut...

their usual maximum size is 150 cm. They commonly grow to 100–120 cm with a birth length around 35 cm. The reproduction of commons smooth-hounds is viviparous...

Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid...

October 4, 2011. Siegler, MG (March 5, 2010). "Burbn's Funding Goes Down Smooth. Baseline, Andreessen Back Stealthy Location Startup". TechCrunch. AOL....

minimum smoothed sunspot number of 2.2,[failed verification] and ended in December 2019. Activity was minimal until early 2010. It reached its maximum in April...

of the posterior distribution, provided that the prior is sufficiently smooth (a result known as Bernstein–von Mises theorem, which was anticipated by...

where VA is maneuvering speed (at maximum weight), W2 is actual weight, W1 is maximum weight. Some aircraft have a maximum operating maneuvering speed VO...

version of the above smoother is described in. Expectation–maximization algorithms may be employed to calculate approximate maximum likelihood estimates...

are plotted on a scale of half width, relative to the peak maximum at zero. The smoothed curve (red line) and 1st derivative (green) were calculated...

Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function...

procedure that is often claimed to be part of Bayesian statistics is the maximum a posteriori (MAP) estimate of an unknown quantity, that equals the mode...

Urospermum dalechampii, the smooth golden fleece or simply the golden-fleece, is a perennial herbaceous plant belonging to the genus Urospermum of the...