Fold 1 - Understanding why coefficient -6419 was selected
Tag: SMOKY QUARTZ
Selected Coefficient: -6419
Taxonomy Path: -20.2.1
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -6419 | 6.000000 | -20.2.1 | -1.2.20 (-(6241 + 2*79 + 20)) | Yes | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 44162 | 6.000000 | 1.6.7 | 7.6.1 (7*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Jewelry Sets | No |
| -19198 | 7.000000 | -1.6.3 | -3.6.1 (-(3*79^2 + 6*79 + 1)) | No | |
| -12779 | 7.000000 | -60.3.2 | -2.3.60 (-(2*79^2 + 3*79 + 60)) | No |
These are the training products that have the "SMOKY QUARTZ" tag (processing sequence 2979). 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) | 44162 | Apparel & Accessories > Jewelry > Jewelry Sets | CHARM, BRACELET, PYRITE, FESTIVALLIFE, ONYX | 50581 | COACHELLA, EVERYDAY, CARNELIAN, GEMSTONES | |
| 271 | Intention Bracelet (Large) | 44162 | Apparel & Accessories > Jewelry > Jewelry Sets | CHARM, BRACELET, PYRITE, FESTIVALLIFE, ONYX | 50581 | COACHELLA, EVERYDAY, CARNELIAN, GEMSTONES | |
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 0 | RING | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | |
| 13889 | Octagon Gold Drop Earrings in Smoky Quartz & Citrine | 0 | DROP EARRINGS | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | |
| 12074 | Open Heart Mama Mala | -6419 | PINK MOONSTONE, SANDALWOOD | 0 | none | ||
| 12075 | Grounded Mama Mala - Sandalwood Version | -6419 | PINK MOONSTONE, SANDALWOOD | 0 | none | ||
| 12084 | Beloved Mama Mala | -12779 | ROOT CHAKRA | -6360 | none | ||
| 12077 | Patient Mama Mala | -19198 | SANDALWOOD, ROOT CHAKRA | -12779 | none |