Higher-order splines all mostly look like Gaussians. I wonder how higher-order splines (from 3rd order onwards) and Gaussians differ. How can one differentiate them?
closed as unclear what you're asking by Peter K.♦ Aug 26 '16 at 19:04
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If you talk about standard splines, piecewise polynomial, without tricks like orthogonalisation, they ought to have finite support. Not the case with Gaussians. As said by @Atul Ingle, derivability is another criterion, but might be more difficult to address on discrete data.