Fold 0 - Understanding why coefficient 31680 was selected
Tag: BLUE TOPAZ
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 15
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 31680 | 1.001602 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 37921 | 1.001602 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
| 50403 | 1.001763 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 56644 | 1.001763 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 18723 | 14.000000 | 0.0.3 | 3.0.0 (3*79^2) | No |
These are the training products that have the "BLUE TOPAZ" tag (processing sequence 26). 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 |
|---|---|---|---|---|---|---|---|
| 13817 | Blue Topaz & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 24964 | DIAMOND, THE ENGLISH GARDENS COLLECTION | |
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 56644 | Apparel & Accessories > Jewelry > Rings | none | 24964 | THE ANDALUSIAN COLLECTION, WHITE TOPAZ | |
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 56644 | Apparel & Accessories > Jewelry > Rings | none | 24964 | YELLOW GOLD, 9CT GOLD, THE ANDALUSIAN COLLECTION | |
| 9013 | Raw Topaz - Sterling Silver Plated | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 18723 | CHARM NECKLACE, PENDANT NECKLACE | |
| 13806 | Blue Topaz & Diamond Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 18723 | DIAMOND, THE ENGLISH GARDENS COLLECTION | |
| 9012 | Blue Topaz - Rose Gold | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 18723 | none | |
| 13835 | Blue Topaz & Agate Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 6241 | THE ENGLISH GARDENS COLLECTION, DROP EARRINGS | |
| 13813 | Blue Topaz & Diamond Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 6241 | DIAMOND, 18CT GOLD, 9CT GOLD, THE ENGLISH GARDENS COLLECTION | |
| 13887 | Octagon Gold Drop Earrings in Peridot & Blue Topaz | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 6241 | YELLOW GOLD, 9CT GOLD, THE ANDALUSIAN COLLECTION, DROP EARRINGS | |
| 13888 | Octagon White Gold Drop Earrings in White Topaz & Blue Topaz | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 6241 | 9CT GOLD, THE ANDALUSIAN COLLECTION, WHITE TOPAZ, DROP EARRINGS | |
| 13884 | Octagon Gold Pendant in Peridot & Blue Topaz | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | NECKLACE, YELLOW GOLD, 9CT GOLD, THE ANDALUSIAN COLLECTION | |
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | NECKLACE, 9CT GOLD, THE ANDALUSIAN COLLECTION, WHITE TOPAZ | |
| 9011 | Blue Topaz Pendant - Sterling Silver | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT NECKLACE | |
| 13878 | Silver Filigree Pendant in White Topaz & Blue Topaz | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | NECKLACE, THE ANDALUSIAN COLLECTION, WHITE TOPAZ | |
| 13801 | Blue Topaz & Agate Ring | 18723 | EARRINGS | -12957 | THE ENGLISH GARDENS COLLECTION |