File:Radial Basis Function Interpolation Error.svg
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Summary
[edit]DescriptionRadial Basis Function Interpolation Error.svg |
English: Difference between the approximate and exact functions in File:Radial Basis Function Interpolation.svg |
Date | |
Source | Own work |
Author | Glosser.ca |
SVG development InfoField | This diagram was created with Mathematica. |
Source code InfoField | 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}]
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See also
[edit]Radial Basis Function Interpolation.svg
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 04:41, 14 October 2020 | 720 × 484 (96 KB) | Rayhem (talk | contribs) | Use correct sign | |
04:36, 14 October 2020 | 720 × 484 (98 KB) | Rayhem (talk | contribs) | Remove thick border | ||
04:33, 14 October 2020 | 720 × 484 (98 KB) | Rayhem (talk | contribs) | Fix legend | ||
03:50, 14 October 2020 | 720 × 461 (97 KB) | Rayhem (talk | contribs) | New version incorrect | ||
03:50, 14 October 2020 | 720 × 461 (97 KB) | Rayhem (talk | contribs) | Thicken frame | ||
03:45, 14 October 2020 | 720 × 461 (97 KB) | Rayhem (talk | contribs) | Uploaded own work with UploadWizard |
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Width | 576pt |
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Height | 387pt |