Fold 3 - 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: 3
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 | 1.000160 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 980312 | 1.000160 | 1.6.78.1 | 1.78.6.1 (493039 + 78*79^2 + 6*79 + 1) | No | |
| 923668 | 2.000000 | 0.0.69.1 | 1.69.0.0 (493039 + 69*79^2) | No |
These are the training products that have the "ENGAGEMENT RINGS" tag (processing sequence 1294). 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 |
|---|---|---|---|---|---|---|---|
| 1456 | Bezel Set Salt and Pepper Diamond Solitaire Ring | 980312 | DELICATE | 923668 | GEMSTONE | ||
| 1457 | Bezel Set Spessartite Garnet Solitaire Ring | 923668 | 7, DELICATE | 867024 | GEMSTONE | ||
| 11486 | Ornate Cubic Zircon Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |