At least implicitly, functions are the daily concern of most engineers and scientists. When they are not very smooth, i.e. when they do not have a significant number of derivatives, they can be ...

Abstract: In this paper we consider the approximation of functions by radial basic function interpolants. There is a plethora of results about the asymptotic ...

ApproximationToolbox features low-rank tensors (including canonical, tensor-train and tree-based tensor formats), sparse tensors, polynomials, wavelets, and allows the plug-in of other approximation ...

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

This chapter deals with the interpolation and approximation of functions. The interpolation includes Lagrange's interpolation polynomial, Taylor polynomials, Newton's interpolation polynomials, ...

Abstract: A degree-d threshold function is a boolean function of the form f(x) = sign(p(x)), where p(x) is a degree-d polynomial over the reals. This is a natural and well-studied class of functions ...

This is a preview. Log in through your library . Abstract Gaussian process models have been widely used in spatial statistics but face tremendous computational challenges for very large data sets. The ...