Fold 3 - Understanding why coefficient -50403 was selected
Tag: CELESTIAL
Selected Coefficient: -50403
Taxonomy Path: -1.6.8
Taxonomy Name:
Products with this tag: 10
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 | 5.000320 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | Yes | |
| -69126 | 5.000641 | -1.6.11 | -11.6.1 (-(11*79^2 + 6*79 + 1)) | No | |
| -37921 | 5.000641 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No | |
| 0 | 7.000160 | 0 | 0 (0) | No | |
| 6241 | 7.000320 | 0.0.1 | 1.0.0 (6241) | No | |
| -69601 | 8.000000 | -2.12.11 | -11.12.2 (-(11*79^2 + 12*79 + 2)) | No |
These are the training products that have the "CELESTIAL" tag (processing sequence 3645). 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 |
|---|---|---|---|---|---|---|---|
| 20677 | Fiddlehead Ring | 6241 | DRUZY | 56644 | Apparel & Accessories > Jewelry > Rings | none | |
| 20679 | Small Lucky Necklace | 0 | DRUZY | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 19322 | Lucky Necklace | 0 | DRUZY | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | |
| 20653 | Cosmic Necklace | -37921 | DANGLES, DRUZY | 12482 | none | ||
| 20709 | Celestial Earrings | -50403 | DANGLES, DRUZY | 0 | none | ||
| 20657 | Cosmic Earrings | -50403 | DANGLES, DRUZY | 0 | none | ||
| 20678 | Fiddlehead Necklace | -50403 | QUARTZ, DRUZY | 0 | none | ||
| 20660 | Orbit Bracelet | -69126 | DANGLES, DRUZY | -18723 | none | ||
| 20711 | Glimmer Earrings | -69601 | POSTS, ELEGANCE, DRUZY | -19198 | none | ||
| 19314 | Small Glimmer Earrings | -69601 | POSTS, ELEGANCE, DRUZY | -19198 | none |