Fold 0 - Understanding why coefficient 37921 was selected
Tag: 14K YELLOW GOLD FILLED
Selected Coefficient: 37921
Taxonomy Path: 1.6.6
Taxonomy Name: Apparel & Accessories > Jewelry > Earrings
Products with this tag: 14
Unique residual values tried: 6
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 | 5.000801 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | Yes |
| 19198 | 5.000961 | 1.6.3 | 3.6.1 (3*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Bracelets | No |
| 56644 | 5.001122 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 0 | 10.000160 | 0 | 0 (0) | No | |
| 6241 | 10.000481 | 0.0.1 | 1.0.0 (6241) | No | |
| -50403 | 13.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No |
These are the training products that have the "14K YELLOW GOLD FILLED" tag (processing sequence 253). 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 |
|---|---|---|---|---|---|---|---|
| 9731 | Braided Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | SUMMER22 | |
| 12370 | Diva Chain Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | WINTER22 | |
| 14395 | Four Leaf Clover Stud Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 9265 | Dripping in Pearls Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | SUMMER22 | |
| 10276 | Classic Hoop Earrings - Cross | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 12360 | Cross Drop Stud Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 6958 | Aphrodite Bracelet - Purple Garnet | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -18723 | WINTER22 | |
| 6627 | Aphrodite Bracelet - Lapis | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -18723 | WINTER22 | |
| 6096 | Pearly Heart Bracelet | 19198 | Apparel & Accessories > Jewelry > Bracelets | none | -18723 | none | |
| 12315 | Classic Jewel Ring - Citrine | 6241 | CITRINE | -31680 | SUMMER22 | ||
| 9629 | Bijou Necklace - Green Zirconia | 0 | NECKLACE | -37921 | GEMSTONE | ||
| 6266 | Pearly Heart Necklace | 0 | NECKLACE | -37921 | none | ||
| 9782 | Chevron Necklace | 0 | NECKLACE | -37921 | SUMMER22 | ||
| 7829 | Aurora Necklace | -50403 | NECKLACE, RAINBOW MOONSTONE | -88324 | none |