Implementing exact approximations to functions. For example, by representing approximate real numbers by an interval, complex numbers by a box, p-adics by a ball, etc. From here we should have a solid ...

ABSTRACT: In order to introduce left and right truncated versions of the modified lognormal with a power-law distribution, we derive its probability density function, its distribution function, its ...

Two methods are discussed which result in near minimax rational approximations to the exponential function and at the same time retain the desirable property that the approximation for negative values ...

This research was supported in part by the United States Air Force Office of Scientific Research, Air Research, and Development Command. Note: The article usage is presented with a three- to four-day ...

This note describes a rational approximation for the error function which has been found useful in a subroutine as an asymptotic expression of improved accuracy ...

Reinforcement learning has exhibited notable empirical success in approximating solutions to the Hamilton-Jacobi-Bellman (HJB) equation, consequently generating highly dynamic controllers. However, ...

Abstract: Function approximation has experienced significant success in the field of reinforcement learning (RL). Despite a handful of progress on developing theory for nonstationary RL with function ...

Abstract: An analytical integral of a lightning current model is required in the analysis of lightning events including the induced effects and frequency analysis of lightning strikes. Previous work ...