where φi(x), i = 1,2,…,n, are chosen, and the coefficients ci, i = 1,2,…,n, are to be determined. Typically m > n. The objective is to choose a fit that reduces the effect of random errors in the data combined with producing a curve that is smooth (no rapid changes or oscillations) between the data points. This is generally referred to as smoothing. The smoothing is often achieved by using low-degree polynomials (with suitable φi(x)) and the coefficients ci are frequently determined by the least-squares criterion (see approximation theory). Compare interpolation.
"smoothing." A Dictionary of Computing. . Encyclopedia.com. (December 16, 2018). https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/smoothing
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