12 нояб. 2012 г. · The quickest way is to convolve the characteristic function of another interval with a smooth bump function. Let Φ(x)=cexp(1/(1−x2))χ(−1,1) ... Infinitely differentiable approximations for an indicator function Smooth approximations to the ramp function Can you construct a smooth indicator function $f$ on a set such ... Другие результаты с сайта math.stackexchange.com

Although indicator functions are not smooth, they admit weak derivatives. For example, consider Heaviside step function H ( x ) := 1 x > 0 {\displaystyle H ...

9 июн. 2016 г. · This approximation depends on the function g(x）=1/ρ⋅log[∑ni=1exp(ρ⋅xj)] which approximates the function that returns the maximum element of a ... $L^1$ error between indicator function and smoothed out version Fast decaying Fourier coefficients for indicator function Другие результаты с сайта mathoverflow.net

In this note a problem of the approximation of indicator functions of some sets in Banach spaces by smooth functions is considered. The problem had arisen ...

This paper presents a novel method for date estimation of historical photographs from archival sources.

The main idea of the approximation is to replace the indicator function with its continuous differentiable approximation. This method is not computationally ...

13 авг. 2022 г. · I have often used indicator functions in my linear regression modelling to allow for the estimation of a coefficient only when a secondary covariate is TRUE.

It use a clever exponential construction to obtain a infinitely differentiable function that is band limited! This function will compute the maximum eigenvalue ...

31 окт. 2011 г. · A smooth characteristic function allows for easier analysis and computation of the underlying probability distribution. It also ensures that the ...

Two user settings controlling the trend estimate are available, Smooth and Sigma. Smooth determines the smoothness of our estimate, with higher values returning ...