Fold 0 - Understanding why coefficient 40755 was selected
Tag: RAINBOW MOONSTONE
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
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? |
|---|---|---|---|---|---|
| 40755 | 2.000595 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 45796 | 2.000793 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 30673 | 2.000992 | 1.6.6 | 6.6.1 (6*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
| 0 | 6.000198 | 0 | 0 (0) | No | |
| 5041 | 6.000198 | 0.0.1 | 1.0.0 (5041) | No |
These are the training products that have the "RAINBOW MOONSTONE" tag (processing sequence 208). 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 |
|---|---|---|---|---|---|---|---|
| 9202 | Rainbow Moonstone - Adjustable Ring 14k Gold | 45796 | Apparel & Accessories > Jewelry > Rings | none | 5041 | 50TH ANNIVERSARY | |
| 9204 | Rainbow Moonstone in Sterling Silver - Adjustable Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 5041 | none | |
| 9519 | Sterling Silver Rainbow Moonstone Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9131 | Rainbow Moonstone Necklace - Antique Bronze | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9441 | Rose Gold Rainbow Moonstone Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9203 | Rainbow Moonstone Drop Earrings - 14k Gold Filled | 30673 | Apparel & Accessories > Jewelry > Earrings | none | -10082 | CRYSTAL EARRINGS, GOLD EARRINGS | |
| 9205 | Rainbow Moonstone Jewelry Set | 5041 | STUD EARRINGS | -35714 | CRYSTAL EARRINGS | ||
| 8864 | AURA STUD EARRINGS COLLECTION - Rainbow Moonstone Crystal Earrings | 0 | STUD EARRINGS | -40755 | none |