Fold 3 - Understanding why coefficient 50403 was selected
Tag: DRUZY
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 15
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 | 8.000481 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 56644 | 8.000801 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 19198 | 8.000961 | 1.6.3 | 3.6.1 (3*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Bracelets | No |
| 0 | 9.000320 | 0 | 0 (0) | No | |
| 12482 | 9.000801 | 0.0.2 | 2.0.0 (2*79^2) | No | |
| -18723 | 9.000801 | -0.0.3 | -3.0.0 (-(3*79^2)) | No | |
| -19198 | 13.000000 | -1.6.3 | -3.6.1 (-(3*79^2 + 6*79 + 1)) | No |
These are the training products that have the "DRUZY" tag (processing sequence 3636). 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 | CLASSIC | |
| 20677 | Fiddlehead Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | CELESTIAL | |
| 20676 | Starlight Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 19322 | Lucky Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CELESTIAL | |
| 20679 | Small Lucky Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CELESTIAL | |
| 20634 | 14K & Sterling Defiant Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | MALEFICENT | |
| 20654 | Radiant Cuff | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -31205 | none | |
| 20653 | Cosmic Necklace | 12482 | DANGLES | -37921 | CELESTIAL | ||
| 20657 | Cosmic Earrings | 0 | DANGLES | -50403 | CELESTIAL | ||
| 20709 | Celestial Earrings | 0 | DANGLES | -50403 | CELESTIAL | ||
| 20678 | Fiddlehead Necklace | 0 | QUARTZ | -50403 | CELESTIAL | ||
| 19327 | Embrace Earrings | 0 | DANGLES | -50403 | none | ||
| 20660 | Orbit Bracelet | -18723 | DANGLES | -69126 | CELESTIAL | ||
| 20711 | Glimmer Earrings | -19198 | POSTS, ELEGANCE | -69601 | CELESTIAL | ||
| 19314 | Small Glimmer Earrings | -19198 | POSTS, ELEGANCE | -69601 | CELESTIAL |