Fold 0 - Understanding why coefficient 12957 was selected
Tag: WHITE TOPAZ
Selected Coefficient: 12957
Taxonomy Path: 1.6.2
Taxonomy Name: Apparel & Accessories > Jewelry > Body Jewelry
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? |
|---|---|---|---|---|---|
| 12957 | 6.000160 | 1.6.2 | 2.6.1 (2*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Body Jewelry | Yes |
| 6716 | 6.000320 | 1.6.1 | 1.6.1 (6241 + 6*79 + 1) | No | |
| 69601 | 7.000000 | 2.12.11 | 11.12.2 (11*79^2 + 12*79 + 2) | No | |
| -12957 | 7.000160 | -1.6.2 | -2.6.1 (-(2*79^2 + 6*79 + 1)) | No | |
| -50403 | 7.000160 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| 6241 | 8.000000 | 0.0.1 | 1.0.0 (6241) | No | |
| -88324 | 8.000000 | -2.12.14 | -14.12.2 (-(14*79^2 + 12*79 + 2)) | No |
These are the training products that have the "WHITE TOPAZ" tag (processing sequence 3284). 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 |
|---|---|---|---|---|---|---|---|
| 13802 | White Topaz & Purple Amethyst Ring | 69601 | THE ENGLISH GARDENS COLLECTION | 56644 | Apparel & Accessories > Jewelry > Rings | none | |
| 13798 | Citrine & White Topaz Ring | 69601 | THE ENGLISH GARDENS COLLECTION | 56644 | Apparel & Accessories > Jewelry > Rings | none | |
| 13826 | White Topaz & Purple Amethyst Earrings | 12957 | Apparel & Accessories > Jewelry > Body Jewelry | EARRINGS, THE ENGLISH GARDENS COLLECTION | 0 | none | |
| 13824 | White Topaz & Purple Amethyst & Agate Necklace | 12957 | Apparel & Accessories > Jewelry > Body Jewelry | NECKLACE, THE ENGLISH GARDENS COLLECTION | 0 | none | |
| 13799 | The Colours of Summer Ring | 6716 | YELLOW GOLD, 18CT GOLD, THE ENGLISH GARDENS COLLECTION | -6241 | none | ||
| 13888 | Octagon White Gold Drop Earrings in White Topaz & Blue Topaz | 6241 | BLUE TOPAZ, 9CT GOLD, THE ANDALUSIAN COLLECTION | -6716 | DROP EARRINGS | ||
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | -12957 | BLUE TOPAZ, THE ANDALUSIAN COLLECTION | -25914 | none | ||
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | -50403 | BLUE TOPAZ, NECKLACE, 9CT GOLD, THE ANDALUSIAN COLLECTION | -63360 | none | ||
| 13878 | Silver Filigree Pendant in White Topaz & Blue Topaz | -88324 | BLUE TOPAZ, NECKLACE, THE ANDALUSIAN COLLECTION | -101281 | none |