Fold 2 - Understanding why coefficient 51408119 was selected
Tag: PETITE
Selected Coefficient: 51408119
Taxonomy Path: 1.0.45.1.2
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 51408119 | 4.000198 | 1.0.45.1.2 | 2.1.45.0.1 (2*71^4 + 357911 + 45*71^2 + 1) | Yes | |
| 123938027 | 4.000198 | 1.0.20.62.4 | 4.62.20.0.1 (4*71^4 + 62*71^3 + 20*71^2 + 1) | No | |
| -79718020 | 5.000000 | -1.66.51.9.3 | -3.9.51.66.1 (-(3*71^4 + 9*71^3 + 51*71^2 + 66*71 + 1)) | No | |
| -8650429 | 5.000000 | -2.1.12.24 | -24.12.1.2 (-(24*71^3 + 12*71^2 + 71 + 2)) | No | |
| 86901873 | 5.000000 | 3.1.57.29.3 | 3.29.57.1.3 (3*71^4 + 29*71^3 + 57*71^2 + 71 + 3) | No | |
| 131091207 | 5.000000 | 2.0.19.11.5 | 5.11.19.0.2 (5*71^4 + 11*71^3 + 19*71^2 + 2) | No |
These are the training products that have the "PETITE" tag (processing sequence 1852). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 9189 | Theatre | 131091207 | GOLD, BLACK, ROUND, 8MM, DARK TURTLE, GLASSES, MEDIUM, NEW HINGE, NEW STYLES, OPTICAL, OVAL FACE | 79683088 | none | ||
| 9191 | Rue Berthe | 123938027 | GOLD, PINK, 8MM, CAT-EYE, GLASSES, MEDIUM, NEW HINGE, NEW STYLES, OPTICAL, OVAL FACE | 72529908 | none | ||
| 9166 | Rue Duroc | 86901873 | ROUND, 8MM, DARK TURTLE, MEDIUM, NEW STYLES, OPTICAL, OVAL FACE | 35493754 | none | ||
| 9208 | Rue de Charonne | 51408119 | GOLD, PINK, 8MM, DARK TURTLE, GLASSES, MEDIUM, NEW HINGE, OPTICAL, OVAL FACE | 0 | none | ||
| 9209 | Lille | -8650429 | GOLD, BLACK, PINK, 8MM, GLASSES, MEDIUM, OPTICAL, OVAL FACE | -60058548 | ROUND FACE | ||
| 9213 | Gaillon | -79718020 | GLASSES, MEDIUM, OPTICAL | -131126139 | none |