Fold 0 - Understanding why coefficient 50403 was selected
Tag: BLACK CRYSTAL
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 5
Unique residual values tried: 2
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 | 0.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 19198 | 0.000641 | 1.6.3 | 3.6.1 (3*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Bracelets | No |
These are the training products that have the "BLACK CRYSTAL" tag (processing sequence 809). 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 |
|---|---|---|---|---|---|---|---|
| 8839 | AURA OBSIDIAN COLLECTION - Obsidian Pink | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 8846 | AURA OBSIDIAN COLLECTION - Obsidian Red Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 8847 | AURA OBSIDIAN COLLECTION - Obsidian Violet Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 8892 | Black Tourmaline Mala Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9000 | Blue Tiger’s Eye Healing Crystal - Mala Bracelet | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -31205 | none |