Fold 3 - Understanding why coefficient 49477755 was selected
Tag: SAPPHIRE
Selected Coefficient: 49477755
Taxonomy Path: 56.4.17.67.1
Taxonomy Name:
Products with this tag: 1
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 49477755 | 0.000000 | 56.4.17.67.1 | 1.67.17.4.56 (25411681 + 67*71^3 + 17*71^2 + 4*71 + 56) | Yes |
These are the training products that have the "SAPPHIRE" tag (processing sequence 2524). 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 |
|---|---|---|---|---|---|---|---|
| 8039 | Glamorous Blue Sapphire Female Solid Silver Canadian Mink Fur Coat M/L | 49477755 | SILVER, MEDIUM | 0 | none |