Fold 0 - Understanding why coefficient -12957 was selected
Tag: THE ENGLISH GARDENS COLLECTION
Selected Coefficient: -12957
Taxonomy Path: -1.6.2
Taxonomy Name:
Products with this tag: 18
Unique residual values tried: 12
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 | 11.000801 | -1.6.2 | -2.6.1 (-(2*79^2 + 6*79 + 1)) | Yes | |
| -56644 | 11.000961 | -1.6.9 | -9.6.1 (-(9*79^2 + 6*79 + 1)) | No | |
| -50403 | 11.000961 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| -44162 | 11.000961 | -1.6.7 | -7.6.1 (-(7*79^2 + 6*79 + 1)) | No | |
| -19198 | 11.000961 | -1.6.3 | -3.6.1 (-(3*79^2 + 6*79 + 1)) | No | |
| -37921 | 11.000961 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No | |
| 56644 | 12.000160 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 50403 | 12.000801 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 0 | 13.000481 | 0 | 0 (0) | No | |
| 6241 | 13.000641 | 0.0.1 | 1.0.0 (6241) | No | |
| 18723 | 13.000641 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -6241 | 13.000641 | -0.0.1 | -1.0.0 (-(6241)) | No |
These are the training products that have the "THE ENGLISH GARDENS COLLECTION" tag (processing sequence 2887). 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 | 69601 | none | |
| 13797 | The Colours Of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 69601 | none | |
| 13798 | Citrine & White Topaz Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 69601 | WHITE TOPAZ | |
| 13800 | Purple Amethyst & Agate Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 69601 | none | |
| 13802 | White Topaz & Purple Amethyst Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 69601 | WHITE TOPAZ | |
| 13814 | Agate & Diamond Ring | 50403 | Apparel & Accessories > Jewelry > Necklaces | DIAMOND, YELLOW GOLD, 9CT GOLD | 63360 | none | |
| 13815 | Purple Amethyst & Diamond Ring | 18723 | DIAMOND | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | |
| 13835 | Blue Topaz & Agate Earrings | 6241 | BLUE TOPAZ | 19198 | Apparel & Accessories > Jewelry > Bracelets | DROP EARRINGS | |
| 13826 | White Topaz & Purple Amethyst Earrings | 0 | EARRINGS | 12957 | Apparel & Accessories > Jewelry > Body Jewelry | WHITE TOPAZ | |
| 13824 | White Topaz & Purple Amethyst & Agate Necklace | 0 | NECKLACE | 12957 | Apparel & Accessories > Jewelry > Body Jewelry | WHITE TOPAZ | |
| 13799 | The Colours of Summer Ring | -6241 | YELLOW GOLD, 18CT GOLD | 6716 | WHITE TOPAZ | ||
| 13817 | Blue Topaz & Diamond Ring | -12957 | BLUE TOPAZ, DIAMOND | 0 | none | ||
| 13801 | Blue Topaz & Agate Ring | -12957 | EARRINGS, BLUE TOPAZ | 0 | none | ||
| 13806 | Blue Topaz & Diamond Necklace | -19198 | BLUE TOPAZ, DIAMOND | -6241 | none | ||
| 13816 | Citrine & Diamond Ring | -37921 | CITRINE, DIAMOND, YELLOW GOLD | -24964 | none | ||
| 13805 | Citrine & Diamond Necklace | -44162 | CITRINE, DIAMOND, YELLOW GOLD | -31205 | none | ||
| 13813 | Blue Topaz & Diamond Earrings | -50403 | BLUE TOPAZ, DIAMOND, 18CT GOLD, 9CT GOLD | -37446 | none | ||
| 13807 | Purple Amethyst & Diamond Earrings | -56644 | EARRINGS, DIAMOND, 18CT GOLD, 9CT GOLD | -43687 | none |