Fold 0 - Understanding why coefficient 37921 was selected
Tag: DIAMOND
Selected Coefficient: 37921
Taxonomy Path: 1.6.6
Taxonomy Name: Apparel & Accessories > Jewelry > Earrings
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? |
|---|---|---|---|---|---|
| 37921 | 7.000320 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | Yes |
| 56644 | 7.001122 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 0 | 9.000641 | 0 | 0 (0) | No | |
| 6241 | 9.000801 | 0.0.1 | 1.0.0 (6241) | No | |
| 18723 | 9.000961 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| 24964 | 9.000961 | 0.0.4 | 4.0.0 (4*79^2) | No |
These are the training products that have the "DIAMOND" tag (processing sequence 81). 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 |
|---|---|---|---|---|---|---|---|
| 13814 | Agate & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | YELLOW GOLD, 9CT GOLD, THE ENGLISH GARDENS COLLECTION | |
| 13815 | Purple Amethyst & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | THE ENGLISH GARDENS COLLECTION | |
| 13848 | Birthstone Halo Earrings - Aquamarine | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13847 | Birthstone Halo Earrings - Pearl | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13841 | Birthstone Halo Earrings - Ruby | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13840 | Birthstone Halo Earrings - Sapphire | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13836 | Birthstone Halo Earrings - Tanzanite | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13839 | Birthstone Halo Earrings - Opal | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13849 | Birthstone Halo Earrings - Amethyst | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | STUD EARRINGS, 9CT GOLD | |
| 13817 | Blue Topaz & Diamond Ring | 24964 | BLUE TOPAZ | -12957 | THE ENGLISH GARDENS COLLECTION | ||
| 13806 | Blue Topaz & Diamond Necklace | 18723 | BLUE TOPAZ | -19198 | THE ENGLISH GARDENS COLLECTION | ||
| 13816 | Citrine & Diamond Ring | 6241 | CITRINE | -31680 | YELLOW GOLD, THE ENGLISH GARDENS COLLECTION | ||
| 13813 | Blue Topaz & Diamond Earrings | 6241 | BLUE TOPAZ | -31680 | 18CT GOLD, 9CT GOLD, THE ENGLISH GARDENS COLLECTION | ||
| 13786 | Pearl & Diamond Drop Earrings | 0 | EARRINGS | -37921 | none | ||
| 13807 | Purple Amethyst & Diamond Earrings | 0 | EARRINGS | -37921 | 18CT GOLD, 9CT GOLD, THE ENGLISH GARDENS COLLECTION | ||
| 13805 | Citrine & Diamond Necklace | 0 | CITRINE | -37921 | YELLOW GOLD, THE ENGLISH GARDENS COLLECTION |