Fold 0 - Understanding why coefficient -78387694 was selected
Tag: NEW STYLES
Selected Coefficient: -78387694
Taxonomy Path: -2.2.1.6.3
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -78387694 | 5.042254 | -2.2.1.6.3 | -3.6.1.2.2 (-(3*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | Yes | |
| -74083035 | 5.042254 | -2.7.70.64.2 | -2.64.70.7.2 (-(2*71^4 + 64*71^3 + 70*71^2 + 7*71 + 2)) | No | |
| -72696831 | 5.042254 | -2.8.8.61.2 | -2.61.8.8.2 (-(2*71^4 + 61*71^3 + 8*71^2 + 8*71 + 2)) | No | |
| -68392172 | 5.042254 | -2.13.6.49.2 | -2.49.6.13.2 (-(2*71^4 + 49*71^3 + 6*71^2 + 13*71 + 2)) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -136250 | 8.000000 | -1.2.27 | -27.2.1 (-(27*71^2 + 2*71 + 1)) | No | |
| -75625724 | 8.000000 | -3.9.21.69.2 | -2.69.21.9.3 (-(2*71^4 + 69*71^3 + 21*71^2 + 9*71 + 3)) | No |
These are the training products that have the "NEW STYLES" tag (processing sequence 1751). 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 |
|---|---|---|---|---|---|---|---|
| 9207 | Jaurès | 0 | BLACK, OVERSIZED, DARK TURTLE | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | OPTICAL, ROUND FACE, SQUARE | |
| 9193 | Rue Amélie | 0 | GOLD, 8MM | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | OPTICAL, ROUND FACE | |
| 9192 | Rue Fabert | 0 | GOLD, 8MM | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | OPTICAL, ROUND FACE | |
| 9190 | Cométe | -136250 | CAT-EYE, CHAMPAGNE | 78251444 | OPTICAL, PEONY GOLD, ROUND FACE | ||
| 9189 | Theatre | -68392172 | BLACK, GOLD, ROUND, 8MM, DARK TURTLE, DIAMOND FACE, MEDIUM | 9995522 | OPTICAL | ||
| 9167 | Rue de Turenne | -72696831 | BLACK, GOLD, 8MM, DARK TURTLE, DIAMOND FACE, MEDIUM | 5690863 | OPTICAL | ||
| 9187 | Place Coluche | -74083035 | ROUND, CHAMPAGNE, MEDIUM | 4304659 | OPTICAL | ||
| 9191 | Rue Berthe | -75625724 | GOLD, 8MM, CAT-EYE, DIAMOND FACE, MEDIUM | 2761970 | OPTICAL | ||
| 9214 | Gaillon Sun | -78387694 | CUSTOM LENSES, MEDIUM | 0 | SUNGLASSES |