Fold 0 - Understanding why coefficient -18723 was selected
Tag: 14K GOLD-FILLED
Selected Coefficient: -18723
Taxonomy Path: -0.0.3
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -18723 | 1.000481 | -0.0.3 | -3.0.0 (-(3*79^2)) | Yes | |
| -12482 | 1.000481 | -0.0.2 | -2.0.0 (-(2*79^2)) | No | |
| 0 | 1.000481 | 0 | 0 (0) | No | |
| 6241 | 1.000481 | 0.0.1 | 1.0.0 (6241) | No | |
| 50403 | 4.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "14K GOLD-FILLED" tag (processing sequence 252). 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 |
|---|---|---|---|---|---|---|---|
| 9319 | Raw Emerald Necklace - 14K Gold-Filled | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 69126 | Apparel & Accessories > Jewelry > Watches | 1ST ANNIVERSARY, 20TH ANNIVERSARY, EMERALD, GREEN CRYSTAL |
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | 6241 | 11TH ANNIVERSARY | 24964 | 1ST ANNIVERSARY, 5TH ANNIVERSARY, GOLD EARRINGS, RAW STONE ELEGANCE, RSE, DROP EARRINGS | ||
| 9464 | Sapphire Stud Earrings: 14k Gold Filled | 0 | STUD EARRINGS | 18723 | HUGGIE EARRINGS, RAW STONE ELEGANCE, RSE | ||
| 9203 | Rainbow Moonstone Drop Earrings - 14k Gold Filled | -12482 | RAINBOW MOONSTONE | 6241 | GOLD EARRINGS, RAW STONE ELEGANCE, RSE | ||
| 9182 | Pink Ruby Pendant 14k Gold Filled | -18723 | PENDANT NECKLACE | 0 | PENDANTS, PINK RUBY |