Fold 3 - Understanding why coefficient 50403 was selected
Tag: CRYSTAL NECKLACES
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 18
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 50403 | 8.000320 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 31680 | 8.001282 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 0 | 10.000000 | 0 | 0 (0) | No |
These are the training products that have the "CRYSTAL NECKLACES" tag (processing sequence 1634). 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 |
|---|---|---|---|---|---|---|---|
| 4999 | Raw Citrine Pendant Necklace - Bright Silver Plated | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9012 | Blue Topaz - Rose Gold | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9351 | Raw Garnet Pendant Necklace - Antique Bronze | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9417 | Raw Sapphire Necklace - Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9441 | Rose Gold Rainbow Moonstone Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9455 | Sapphire Necklace - Antique Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9517 | Special Edition: Raw Moldavite Necklace - Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9458 | Raw Sapphire Sterling Silver Pendant | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -18723 | none | |
| 9563 | Turquoise Charm Necklace - Antiqued Sterling Silver - Brown Leather | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -18723 | 11TH ANNIVERSARY | |
| 8838 | AURA OBSIDIAN COLLECTION - Obsidian Green Necklace | 0 | BLACK CRYSTAL | -50403 | BLACK NECKLACE | ||
| 8839 | AURA OBSIDIAN COLLECTION - Obsidian Pink | 0 | BLACK CRYSTAL | -50403 | BLACK NECKLACE | ||
| 8846 | AURA OBSIDIAN COLLECTION - Obsidian Red Necklace | 0 | BLACK CRYSTAL | -50403 | BLACK NECKLACE | ||
| 8847 | AURA OBSIDIAN COLLECTION - Obsidian Violet Necklace | 0 | BLACK CRYSTAL | -50403 | BLACK NECKLACE | ||
| 9562 | Turquoise Charm Necklace - Antiqued Sterling Silver | 0 | CHARM NECKLACE | -50403 | 11TH ANNIVERSARY | ||
| 9148 | Men's Raw Peridot Necklace in 14k Gold-Filled | 0 | CHAIN MATERIAL ROUND BLACK COTTON | -50403 | none | ||
| 9132 | Rainbow Moonstone Necklace - Sterling Silver Lotus Pendant | 0 | CHARM NECKLACE | -50403 | none | ||
| 5066 | Citrine Pendant Necklace - Antique Bronze | 0 | CHAIN MATERIAL ROUND BLACK COTTON | -50403 | none |