Fold 2 - Understanding why coefficient -50403 was selected
Tag: CELESTIAL
Selected Coefficient: -50403
Taxonomy Path: -1.6.8
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| -50403 | 6.000160 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | Yes | |
| -69126 | 6.000641 | -1.6.11 | -11.6.1 (-(11*79^2 + 6*79 + 1)) | No | |
| 0 | 7.000160 | 0 | 0 (0) | No | |
| 6241 | 7.000481 | 0.0.1 | 1.0.0 (6241) | No | |
| -107047 | 10.000000 | -2.12.17 | -17.12.2 (-(17*79^2 + 12*79 + 2)) | No | |
| 56644 | 10.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "CELESTIAL" tag (processing sequence 3847). 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 |
|---|---|---|---|---|---|---|---|
| 20633 | Cosmic Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 107047 | none | |
| 20677 | Fiddlehead Ring | 6241 | ECLECTICS | 56644 | Apparel & Accessories > Jewelry > Rings | none | |
| 20679 | Small Lucky Necklace | 0 | ECLECTICS | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 19322 | Lucky Necklace | 0 | ECLECTICS | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 20685 | Celestial Necklace | 0 | ECLECTICS | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 20711 | Glimmer Earrings | -50403 | POSTS, ECLECTICS | 0 | none | ||
| 20657 | Cosmic Earrings | -50403 | DANGLES, ECLECTICS | 0 | none | ||
| 20709 | Celestial Earrings | -50403 | DANGLES, ECLECTICS | 0 | none | ||
| 19314 | Small Glimmer Earrings | -50403 | POSTS, ECLECTICS | 0 | none | ||
| 20660 | Orbit Bracelet | -69126 | DANGLES, ECLECTICS | -18723 | none | ||
| 20678 | Fiddlehead Necklace | -107047 | QUARTZ, AQUA CHALCEDONY, ECLECTICS | -56644 | none |