File:Radial Basis Function Interpolation Error.svg
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Original file (SVG file, nominally 720 × 484 pixels, file size: 96 KB)
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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 |  This diagram was created with Mathematica. |
| 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
Radial Basis Function Interpolation.svg
Licensing
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:41, 14 October 2020 | | 720 × 484 (96 KB) | Rayhem | Use correct sign |
| 04:36, 14 October 2020 |  | 720 × 484 (98 KB) | Rayhem | Remove thick border | |
| 04:33, 14 October 2020 |  | 720 × 484 (98 KB) | Rayhem | Fix legend | |
| 03:50, 14 October 2020 |  | 720 × 461 (97 KB) | Rayhem | New version incorrect | |
| 03:50, 14 October 2020 |  | 720 × 461 (97 KB) | Rayhem | Thicken frame | |
| 03:45, 14 October 2020 |  | 720 × 461 (97 KB) | Rayhem | Uploaded own work with UploadWizard |
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