Fold 0 - Understanding why coefficient 56644 was selected
Tag: ENGAGEMENT RINGS
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 4
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 56644 | 2.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 25459 | 3.000000 | 21.6.4 | 4.6.21 (4*79^2 + 6*79 + 21) | Services > Personal Services > Lifestyle Services | No |
These are the training products that have the "ENGAGEMENT RINGS" tag (processing sequence 2101). 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 |
|---|---|---|---|---|---|---|---|
| 1458 | Polaris Ring in Moss Agate | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 11486 | Ornate Cubic Zircon Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 10197 | VIP Jewellery Design Experience! | 25459 | Services > Personal Services > Lifestyle Services | none | -31185 | none | |
| 1457 | Bezel Set Spessartite Garnet Solitaire Ring | 0 | 7 | -56644 | DELICATE |