Fold 4 - Understanding why coefficient -52976013 was selected
Tag: NEW HINGE
Selected Coefficient: -52976013
Taxonomy Path: -2.2.1.6.2
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -52976013 | 4.028169 | -2.2.1.6.2 | -2.6.1.2.2 (-(2*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | Yes | |
| -50077793 | 4.028169 | -2.7.65.68.1 | -1.68.65.7.2 (-(25411681 + 68*71^3 + 65*71^2 + 7*71 + 2)) | No | |
| -49972216 | 4.028169 | -2.11.44.68.1 | -1.68.44.11.2 (-(25411681 + 68*71^3 + 44*71^2 + 11*71 + 2)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -50214043 | 6.000000 | -3.9.21.69.1 | -1.69.21.9.3 (-(25411681 + 69*71^3 + 21*71^2 + 9*71 + 3)) | No | |
| 2928893 | 6.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "NEW HINGE" tag (processing sequence 1736). 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 |
|---|---|---|---|---|---|---|---|
| 9212 | Saint Germain | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | BLACK, ROUND, 8MM, ACETATE, DARK TURTLE, DIAMOND FACE | 55904906 | OPTICAL | |
| 9192 | Rue Fabert | 0 | GOLD, 8MM, 22K, ACETATE | 52976013 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Bells & Beads | NEW STYLES, OPTICAL, ROUND FACE | |
| 9193 | Rue Amélie | 0 | GOLD, 8MM, 22K, ACETATE | 52976013 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Bells & Beads | NEW STYLES, OPTICAL, ROUND FACE | |
| 9206 | Ségur | -49972216 | GOLD, 22K, ACETATE, DARK TURTLE, LARGE | 3003797 | NEW STYLES, OPTICAL | ||
| 9167 | Rue de Turenne | -50077793 | GOLD, BLACK, 8MM, 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM | 2898220 | NEW STYLES, OPTICAL | ||
| 9189 | Theatre | -50214043 | GOLD, BLACK, ROUND, 8MM, 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM | 2761970 | NEW STYLES, OPTICAL | ||
| 9214 | Gaillon Sun | -52976013 | 22K, MEDIUM | 0 | NEW STYLES, SUNGLASSES |