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nestorD • 04/22/2025 • 1 reply • view on HN

Yes! And the next articles in the series double down on this:

"Any polynomial basis has a “natural domain” where its approximation properties are well-known. Raw features must be normalized to that domain. The natural domain of the Bernstein basis is the interval [0,1][0,1]."


Replies

constantcrying • 04/22/2025

Totally irrelevant. The natural domain,if compact, can always be scaled, it has nothing to do with the numerical problems.

Also the hermite polynomials have an unbounded natural domain.