Fold 1 - Understanding why coefficient 50403 was selected
Tag: AQUA CHALCEDONY
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 22
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? |
|---|---|---|---|---|---|
| 50403 | 9.000961 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 56644 | 9.001282 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 19198 | 9.001923 | 1.6.3 | 3.6.1 (3*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Bracelets | No |
| 0 | 14.000160 | 0 | 0 (0) | No | |
| 12482 | 14.001122 | 0.0.2 | 2.0.0 (2*79^2) | No | |
| -37921 | 21.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No |
These are the training products that have the "AQUA CHALCEDONY" tag (processing sequence 2908). 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 |
|---|---|---|---|---|---|---|---|
| 19315 | Radiant Ring - Cosmic | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | ONYX, CLASSIC | |
| 19325 | Halo Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | ONYX, ELEGANCE | |
| 20646 | Enchanted Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | none | |
| 20707 | Karma Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | ONYX | |
| 20708 | Radiant Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | ONYX, CLASSIC | |
| 19333 | Harbor Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | PERIDOTS | |
| 20706 | Devoted Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | ONYX | |
| 20652 | Clarity Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | ONYX, QUARTZ, CARNELIAN, CLASSIC | |
| 20674 | Boundless Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 20676 | Starlight Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 20703 | Pixie Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | QUARTZ, ELEGANCE, CLASSIC | |
| 19326 | Mesmerize Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | ONYX | |
| 20654 | Radiant Cuff | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -31205 | CARNELIAN | |
| 20696 | Bloom Necklace | 12482 | GARNETS | -37921 | PERIDOTS, ELEGANCE, CARNELIAN | ||
| 20704 | Pixie Earrings | 0 | POSTS | -50403 | QUARTZ, ELEGANCE, CLASSIC | ||
| 20640 | Maleficent Hoops with stones | 0 | GARNETS | -50403 | PERIDOTS, MALEFICENT, CARNELIAN | ||
| 20642 | Enchanted Earrings | 0 | EARRINGS | -50403 | ONYX, QUARTZ, ELEGANCE | ||
| 20645 | Enchanted necklace | 0 | NECKLACES | -50403 | ONYX, QUARTZ, CLASSIC | ||
| 20701 | Appeal Necklace | 0 | TOURMALINE | -50403 | ONYX, QUARTZ, CLASSIC | ||
| 19334 | Blissful Earrings | 0 | DANGLES | -50403 | QUARTZ, CLASSIC | ||
| 19316 | Charisma Necklace | 0 | TOURMALINE | -50403 | ONYX, ELEGANCE, CLASSIC | ||
| 20644 | Fearless Earrings with stones | -37921 | DANGLES, GARNETS | -88324 | PERIDOTS, CARNELIAN, CLASSIC |