Fold 2 - Understanding why coefficient -2197948 was selected
Tag: SAPPHIRE
Selected Coefficient: -2197948
Taxonomy Path: -1.1.10.6
Taxonomy Name:
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| -2197948 | 1.000000 | -1.1.10.6 | -6.10.1.1 (-(6*71^3 + 10*71^2 + 71 + 1)) | Yes | |
| 49467673 | 1.000000 | 56.4.15.67.1 | 1.67.15.4.56 (25411681 + 67*71^3 + 15*71^2 + 4*71 + 56) | No |
These are the training products that have the "SAPPHIRE" tag (processing sequence 2527). 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 | 49467673 | SILVER, MEDIUM | 51665621 | none | ||
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | -2197948 | PEARL, 12TH ANNIVERSARY | 0 | none |