Splines: bending the curve piece by piece
Two forms of flexibility compete on the same parameter budget. At 19 parameters a spline makes 4 times less error than a polynomial and its worst deviation is under a third.
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Sources
- Hastie, Tibshirani, Friedman 2009 · The Elements of Statistical Learning, Bölüm 5.1-5.2 · Springer
- Runge, C. 1901 · Über empirische Funktionen und die Interpolation zwischen äquidistanten Ordinaten · Zeitschrift für Mathematik und Physik, 46
- de Boor, C. 1978 · A Practical Guide to Splines · Springer
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