Fold 1 - Understanding why coefficient 56644 was selected
Tag: THE ENGLISH GARDENS COLLECTION
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 16
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? |
|---|---|---|---|---|---|
| 56644 | 9.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 0 | 11.000320 | 0 | 0 (0) | No | |
| 18723 | 11.000641 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| 6241 | 11.000641 | 0.0.1 | 1.0.0 (6241) | No | |
| -50403 | 12.000160 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| -12957 | 12.000481 | -1.6.2 | -2.6.1 (-(2*79^2 + 6*79 + 1)) | No |
These are the training products that have the "THE ENGLISH GARDENS COLLECTION" tag (processing sequence 2889). 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 |
|---|---|---|---|---|---|---|---|
| 13796 | The Colours Of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13797 | The Colours Of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13798 | Citrine & White Topaz Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | WHITE TOPAZ | |
| 13815 | Purple Amethyst & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13800 | Purple Amethyst & Agate Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13814 | Agate & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13802 | White Topaz & Purple Amethyst Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | WHITE TOPAZ | |
| 13806 | Blue Topaz & Diamond Necklace | 18723 | BLUE TOPAZ | -37921 | none | ||
| 13816 | Citrine & Diamond Ring | 6241 | CITRINE | -50403 | none | ||
| 13826 | White Topaz & Purple Amethyst Earrings | 0 | EARRINGS | -56644 | WHITE TOPAZ | ||
| 13799 | The Colours of Summer Ring | 0 | 18CT GOLD | -56644 | WHITE TOPAZ | ||
| 13805 | Citrine & Diamond Necklace | 0 | CITRINE | -56644 | none | ||
| 13801 | Blue Topaz & Agate Ring | -12957 | EARRINGS, BLUE TOPAZ | -69601 | none | ||
| 13825 | Purple Amethyst & Citrine & White Topaz Necklace | -50403 | NECKLACE, CITRINE | -107047 | WHITE TOPAZ | ||
| 13812 | Citrine & Diamond Earrings | -50403 | EARRINGS, CITRINE | -107047 | none | ||
| 13813 | Blue Topaz & Diamond Earrings | -50403 | BLUE TOPAZ, 18CT GOLD | -107047 | none |