Fold 3 - Understanding why coefficient 37921 was selected
Tag: GOLD EARRINGS
Selected Coefficient: 37921
Taxonomy Path: 1.6.6
Taxonomy Name: Apparel & Accessories > Jewelry > Earrings
Products with this tag: 6
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 37921 | 2.000000 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | Yes |
| -31680 | 5.000000 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "GOLD EARRINGS" tag (processing sequence 1561). 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 |
|---|---|---|---|---|---|---|---|
| 4986 | Corentine Huggie Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 4987 | Extra Bold Janie Huggie Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 5000 | Link Huggie Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 9203 | Rainbow Moonstone Drop Earrings - 14k Gold Filled | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | 0 | 11TH ANNIVERSARY, 1ST ANNIVERSARY | -37921 | TURQUOISE, DROP EARRINGS | ||
| 9181 | Pink Ruby Earrings - 14k Gold Filled Stud Earrings | -31680 | STUD EARRINGS, 15TH ANNIVERSARY | -69601 | PINK CRYSTAL, RED CRYSTAL |