Fold 4 - Understanding why coefficient 50403 was selected
Tag: ONYX
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 14
Unique residual values tried: 7
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 | 7.000641 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 56644 | 7.000641 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 94090 | 7.000961 | 1.6.15 | 15.6.1 (15*79^2 + 6*79 + 1) | No | |
| -50403 | 11.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| 0 | 11.000160 | 0 | 0 (0) | No | |
| 6241 | 11.000320 | 0.0.1 | 1.0.0 (6241) | No | |
| 6419 | 13.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
These are the training products that have the "ONYX" tag (processing sequence 2987). 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 |
|---|---|---|---|---|---|---|---|
| 270 | Intention Bracelet (Small) | 94090 | PYRITE, BRACELET, BETTER TOGETHER, CHARM, COACHELLA | 43687 | CARNELIAN, BOHO | ||
| 20708 | Radiant Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | CLASSIC | |
| 19325 | Halo Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | none | |
| 20707 | Karma Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | none | |
| 20706 | Devoted Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 19316 | Charisma Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CLASSIC | |
| 19326 | Mesmerize Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 12076 | Confident Mama Mala | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | -43984 | none | |
| 19315 | Radiant Ring - Cosmic | 6241 | DRUZY | -44162 | CLASSIC | ||
| 20701 | Appeal Necklace | 0 | QUARTZ | -50403 | CLASSIC | ||
| 9484 | Silver Black Onyx Necklace | 0 | CRYSTAL NECKLACE | -50403 | none | ||
| 20678 | Fiddlehead Necklace | -50403 | QUARTZ, DRUZY | -100806 | none | ||
| 20645 | Enchanted necklace | -50403 | NECKLACES, QUARTZ | -100806 | CLASSIC | ||
| 20642 | Enchanted Earrings | -50403 | EARRINGS, QUARTZ | -100806 | none |