File:Radial Basis Function Interpolation Error.svg
Summary
| Description |
English: Difference between the approximate and exact functions in File:Radial Basis Function Interpolation.svg |
| Date | |
| Source | Own work |
| Author | Glosser.ca |
| SVG development | |
| Source code | Mathematica coderbf[\[Epsilon]_, x_] := Exp[-(\[Epsilon] x)^2];
g[x_] := Exp[x Cos[3 \[Pi] x]];
xs = Range[0, 14]/14;
ys = g[xs];
weights[\[Epsilon]_?InexactNumberQ] := LeastSquares[Outer[rbf[\[Epsilon], Abs[#1 - #2]] &, xs, xs], ys];
approx[\[Epsilon]_?InexactNumberQ] := weights[\[Epsilon]].rbf[\[Epsilon], x - xs];
error[\[Epsilon]_?InexactNumberQ] := NIntegrate[(g[x] - approx[\[Epsilon]])^2, {x, 0, 1}];
Plot[g[x] - approx[3], {x, 0, 1}]
|
See also
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